Answer:
b. 2x^10y^12.
Step-by-step explanation:
(60x^(20)y^(24))/(30x^(10)y^(12)
60 / 30 = 2
x^20 / x^10 = x^(20-10) = x^10
y^(24) / y^(12) = y^(24-12) = y^12.
Thus, the answer is:
2x^10y^12.
Answer:
b. 2x^(10)y^(12)
Step-by-step explanation:
(60x^(20)y^(24))/(30x^(10)y^(12)
when there is division we simplify that by subtracting the power
by using rules of indices
[tex] \frac{x^a}{x^b}=x^{a-b}[/tex]
and number can be divided easily
[tex] \frac{60}{30}*\frac{x^{20}}{x^{10}}*\frac{y^{24}}{y^{12}}[/tex]
[tex] 2*x^{20-10}y^{24-12}[/tex]
[tex] 2x^{10}y^{12}[/tex]
so answer is b. 2x^(10)y^(12)
When calculating a nation’s digital power, what term is used to refer to the demonstrated capabilities of a nation-state in cyber offense or defense?
When calculating a nation’s digital power, the term that is used to refer to the demonstrated capabilities of a nation-state in cyber offense or defense is Cyberwarfare.
What is Cyberwarfare?Cyberwarfare can be regarded as the use of cyber attacks against a nation-state so as to produce significant harm.
It should be noted that Cyber Warfare is set of actions which is been carried out by nation or organization so as to be able to launch an attack on institutions' computer network systems.
The interests or reasons for cyberwarfares based on the Cybersecurity as well as Infrastructure Security Agency are;
To weaken the system of another country.To disrupt or destroy the sytem of another nation.In order to achieve the goals behind the cyberwarfare programs, it is usually designed to focus on spectrum of objectives which will bring harm to national interests.
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If two 12-sided dice are rolled what is the probability that both numbers will be even?
Answer:
probability result of sample space would result in 12/144
Step-by-step explanation:
as result there is 12 numbers on each dice, blth have exact same numbers, resulting in 144 combinations ti be thrown as sample space event outcome wluld be;
1/1 1/2 1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12
2/1 2/2 2/3 2/4 2/5 2/6 2/7 2/8 2/9 2/10 2/11 2/12
3/1 3/2 3/3 3/4 3/5 3/6 3/7 3/8 3/9 3/10 3/11 3/12
4/1 4/2 4/3 4/4 4/5 4/6 4/7 4/8 3/9 4/10 4/11 4/12
5/1 5/2 5/3 5/4 5/5 5/6 5/7 5/8 5/9 5/10 5/11 5/12
6/1 6/2 6/3 6/4 6/5 6/6 6/7 6/8 6/9 6/10 6/11 6/12
7/1 7/2 7/3 7/4 7/5 7/6 7/7 7/8 7/9 7/10 7/11 7/12
8/1 8/2 8/3 8/4 8/5 8/6 8/7 8/8 8/9 8/10 8/11 8/12
9/1 9/2 9/3 9/4 9/5 9/6 9/7 9/8 9/9 9/10 9/11 9/12
10/1 10/2 10/3 10/4 10/5 10/6 10/7 10/8 10/9 10/10 10/11 10/12
11/1 11/2 11/3 11/4 11/5 11/6 11/7 11/8 11/9 11/10 11/11 11/12
12/1 12/2 12/3 12/4 12/5 12/6 12/7 12/8 12/9 12/10 12/11 12/12
giving 12 matching numbers in a 144 possible rolled outcome
mathematic formula would be P(A) = n(A)/n(S)
As P(A)= probabolity of event A
n(A)= number of favouravle outcome
n(S)= total number of outcome in sample space
giving
12=2/144=0,0138888889
The Math Club has 23 members and needs to elect officers. They will need a President, Vice President, Secretary, and Treasurer. How many ways can a 4-member committee be formed?
92
8,655
212,520
1,573,210
There are 8855 ways in which a 4-member committee be formed from 23 members
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.
The number of ways that a 4-member committee be formed from 23 members is:
Number of ways = 23! / [(23 - 4)!4!] = 8855 ways
There are 8855 ways in which a 4-member committee be formed from 23 members
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Answer:
The answer is 212,520.
Step-by-step explanation:
This is a permutation, not a combination. So, we need to follow the formula
[tex]nP_{r} =\frac{n!}{(n-r)!}[/tex]
Plug in the numbers and solve:
[tex]nP_{r}= \frac{23!}{(23-4)!}[/tex]
[tex]nP_{r}= \frac{23!}{19!}\\[/tex]
[tex]nP_{r}= \frac{25,852,016,738,884,976,640,000}{121,645,100,408,832,000}[/tex]
[tex]nP_{r}= 212,520[/tex]
Because 212,520 is an answer choice, this is the correct answer.
Fatimah is x years old and nadia is 3 years older than fatmah. find expression, in it's simplest form in terms of x, for the sum of the girls ages in two years time and in y years time
The algebraic formula that represents the situation of the age difference between Fatimah and Nadia is x + 3 = y, where x, y > 0 and y > x.
How to derive an algebraic expression from a word problem
Herein we have a situation where two people have different ages, Fatimah has an age such that she is 3 years younger than Nadia. Let be x and y variables that respesent the ages of Fatimah and Nadia, respectively. In summary, the word problem can be reduced into the following algebraic expression:
y - x = 3 (Expression that represents age difference between Fatimah and Nadia)
x + 3 = y, where x, y > 0 and y > x. (1)
The algebraic formula that represents the situation of the age difference between Fatimah and Nadia is x + 3 = y, where x, y > 0 and y > x.
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factor this:
18x^2+39x-15
Steps for Factoring:
1) Find CM (common factor) for the expression: 3
Factor out 3 =>
[tex]3(6x^{2}+13x-5)[/tex]
2)Factor the above expression by grouping:
The expression needs to be written as [tex]6x^{2} + ax+ bx -5[/tex]
a and b should add up to 13 and multiply up to -30 (6 × -5)
By Guess & Check we find that the pair is a = -2 and b = 15 (-2+15; -2 × 15)
3) Now we can rewrite [tex](6x^{2}+13x-5)[/tex] as [tex](6x^{2} -2x)+(15x-5)\\[/tex]
Factor out 2x in the first group and 5 in the second group:
[tex]2x(3x-1)+5(3x-1)\\[/tex]
As 3x-1 is on both sides, now we can do the operation: 2x+5 (distributive property)
(3x-1) (2x+5)
The answer is 3(3x-1) (2x+5)
Hope it helps!
At Eva’s restaurant, 2/3 of the dishes on the menu are vegetarian. Of the vegetarian dishes, 1/10 are pasta dishes. What fraction of the dishes on the menu are vegetarian pasta?
Answer:
1/15 of the dishes on the menu are vegetarian pasta.
Step-by-step explanation:
1/10 of 2/3 of all dishes are vegetarian pasta.
1/10 of 2/3 of all = 1/10 * 2/3 * 1 = 2/30 = 1/15
HELPPPPP: An ipod cost $200. Ivy is going to save money for the ipod by babysitting for $15 per week. Ivy already has $32 saved. Write an inequality that can be used to find the minimum number of weeks Ivy must babysit to earn enough to buy an ipod.
To form an equation from a word problem, we can recognize variables and operations from keywords.
Solving the QuestionLet the number of weeks be a.
We're given:
Goal amount is $200 at minimumMoney earned is $15aCurrent amount is $32Because $200 is the minimum account required, we know that the amount earned must be greater than or equal to 200.
[tex]200\leq[/tex]
Our current savings and money can be calculated by adding 15a and 32:
[tex]200\leq15a+32[/tex]
Answer[tex]200\leq15a+32[/tex]
show that xcosec^2x = cotx - d/dx xcotx
The given equation, x.cosec²x = cot x - d/dx x.cot x, is proved using the product rule of differentials.
In the question, we are asked to show that x.cosec²x = cot x - d/dx x.cot x.
To prove, we go by the right-hand side of the equation:
cot x - d/dx x.cot x.
We solve the differential d/dx using the product rule, according to which, d/dx uv = u. d/dx(v) + v. d/dx(u), where u and v are functions of x.
cot x - {x. d/dx(cot x) + cot x. d/dx(x)}
= cot x - {x. (-cosec²x) + cot x} {Since, d/dx(cot x) = -cosec²x, and d/dx(x) = 1}
= cot x + x. cosec²x - cot x
= x. cosec²x
= The left-hand side of the equation.
Thus, the given equation, x.cosec²x = cot x - d/dx x.cot x, is proved using the product rule of differentials.
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If one earthquake is 20 times as intense as another how much latger is its magnitude on the richter scale?
The magnitude of the larger earthquake is about 1.3 greater than the magnitude of the smaller earthquake.
In physics, significance is defined actually as “distance or quantity.” It depicts the absolute or relative course or size wherein an object moves within the sense of motion. it's miles used to express the scale or scope of something. In physics, importance normally refers to distance or quantity.
Magnitude is described as big in size or very vital. An example of value is the depth of the Grand Canyon. An instance of importance is the dimensions of the trouble of world hunger. (geology) A measure of the amount of energy launched by using an earthquake, as indicated on the Richter scale.
The magnitude is more than a few that characterizes the relative size of an earthquake. value is primarily based on the measurement of the maximum movement recorded with the aid of a seismograph.
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Find the area of a circle if i) radius is 21cm ") diameter is 28cm
Answer:
i) 441π cm² ≈ 1385.4 cm²
ii) 196π cm² ≈ 615.8 cm²
Step-by-step explanation:
The areas of circles with radius 21 cm or diameter 28 cm can be found using the appropriate area formula.
i)The formula for the area of a circle based on its radius is ...
A = πr²
When the radius is 21 cm, the area is ...
A = π(21 cm)² = 441π cm² ≈ 1385.4 cm²
ii)The formula for the area of a circle based on its diameter is ...
A = (π/4)d²
When the diameter is 28 cm, the area is ...
A = (π/4)(28 cm)² = 196π cm² ≈ 615.8 cm²
Answer:
Before multiplying by pi. 441π cm²
After multiplying by pi. 1384.74 cm²
Step-by-step explanation:
The formula for area of a circle is πr².
r=radius
Square the radius.
21²=441
If they want the answer in this form: 441π cm². If not, then use 3.14 for π.
441*3.14=1384.74
The answer is 1384.74 cm².
Hope this helps!
Bernie owns Bernie’s Bike Shop and is advertising his company by
taking his logo and placing it around town on different sized signs. After creating a few signs, he
noticed a relationship between the amount of ink he needs for his logo and the size of the sign.
1. The table below represents some of the signs Bernie has created and the relationship
between the amount of ink needed versus the size of the sign. Complete the information
below to help Bernie see this relationship
From the table, the domain are all real numbers and they can be substituted for x to return a valid f(x) value:
f(x) = x²Domain = 2, 3, 4, 15 and x.Range = 4, 9, 16, 225 and x².What is a graph?A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a Cartesian coordinate, which are the x-axis and y-axis.
By critically observing the table (see attachment), we can logically deduce that relationship between the amount of ink and the size of the sign is modeled by this function:
f(x) = x²
From the table, the domain are all real numbers and they can be substituted for x to return a valid f(x) value:
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What is NOT another name for Q?
A. line LQ←→
B. line RG←→
C. line LG←→
D. line RL←→
The line that is not another name for Q is RL
How to determine the line that is not another name for Q?For a line to represent the point Q, the following must be true:
The line must start from any pointAnd the line must go through point QUsing the above highlights,
The line LQ starts from L and extends through QThe line RG starts from R and extends through QThe line LG starts from L and extends through QThe line RL starts from R and does not extend through QHence, the line that is not another name for Q is RL
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Find the rectangular coordinates of the point with spherical coordinates (rho,θ,ϕ) : (4,π6,2π3)
The spherical coordinate (4,6π,2π/3) is (5,2π3,0.927) in spherical coordinates.
I’m going to assume that your values are in the form of:
(r,θ,z)=(4,6π,2π/3)
where
(r,θ)are the polar coordinates of the point’s projection in the xy-plane
z is the usual z-coordinate in the Cartesian coordinate system
Now solving for Cartesian coordinates:
x=rcosθ=4cos(6π)=4(0.86)=3.44
y=rsinθ=4sin(6π)=2
Now for spherical transformation, note that:
(ρ,θ,ϕ)
ρ is the distance between P and the origin
θ is the same angle used to describe the location in cylindrical coordinates
ϕ is the angle formed by the positive z-axis and line segment from the origin and point in space, note that0≤ϕ≤π
OK, now that we have that out of the way, let’s compute:
ρ=r2+z2 = 5
θ=θ=6π
ϕ=arccos(zr2+z2−−−−−−√)=arccos(35)≈0.927rad
The spherical coordinate (4,6π,2π/3) is (5,2π3,0.927) in spherical coordinates.
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Mrs. gomes found that 40% of students at her high school take chemistry. she randomly surveys 12 students. what is the probability that exactly 4 students have taken chemistry? round the answer to the nearest thousandth. p (k successes) = subscript n baseline c subscript k baseline p superscript k baseline (1 minus p) superscript n minus k. subscript n baseline c subscript k baseline = startfraction n factorial over (n minus k) factorial times k factorial endfraction
Answer:
0.213
Step-by-step explanation:
→ Convert into binomial information
x ~ B ( 12 , 0.4 )
→ Write down probability required
p ( x = 4 )
→ Evaluate
0.2128
Find the measure of the third angle of a triangle if the measures of the other two angles are given. 35.5 and 82.6
Answer:
61.9°
Step-by-step explanation:
The angles of a triangle always add up to 180°. Using this information along with the values of two of the three angles, we can set up an equation to find the measure of the third angle.
Set up an EquationLet the measure of the third angle be represented as "x". The first angle + the second angle + the third angle must equal 180 therefore...
[tex]35.5+82.6+x=180[/tex]
Solve the EquationStart by adding the like terms on the left side of the equation:
[tex]118.1+x=180[/tex]
Then, subtract both sides by 118.1:
[tex]x=61.9[/tex]
Therefore the measure of the third angle of the triangle is 61.9°.
The number of students from there sections of class 6 are 32,3640. find minimum number of books required for their class library . so, that they can be equally distributed among the students of three sections?
The minimum number of books required to be equally distributed among the students are 1,440 books.
What is LCM?The smallest feasible multiple of two or more numbers is found using the LCM method. LCM is an abbreviation for least common multiple. The LCM of two numbers is divisible by both of them. The LCM of 6 and 8 is 24, for example. As a result, 24 is divisible by both 6 and 8.To find the minimum required books so that they can be equally distributed:
The number of students in three sections of class 6th are 32, 36, and 40.
Now, find the LCM od 32, 36, and 40.
The LCM od 32, 36, and 40 will be 1,440.
Therefore, the minimum number of books required to be equally distributed among the students are 1,440 books.
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prove:- sin^2A-cos^2B=sin^2B-cos^2A
Step-by-step explanation:
1: change 'sin²A' and 'cos²B' into (1-cos²A)and (1-sin²A) respectively.
2:open the brackets and put signs accordingly.
3: cancel (-1) and (+1).
4: remaining is your answer.
please help me this has to be just a fake question 98 points
[tex] \frac{7}{4} - 9 \div .08 + \frac{4}{5} - 7 \times .8[/tex]
Let's try solving the problem using the order of operations method, otherwise known as PEMDAS.
[tex]\begin{tabular}{c | l}Order of Operation & Required Operation \\\cline{1-2}1 & Parentheses () \\2 & Exponents e^{x} \\3 & Multiplication \times \\4 & Division \div \\5 & Addition + \\6 & Subtraction -\end{tabular}[/tex]
We are given this question :
[tex]\mathrm {\frac{7}{4} - 9 \div .08 + \frac{4}{5} - 7 \times .8}[/tex]
Since there are no parentheses or exponents, let's multiply.
[tex]\mathrm {\frac{7}{4} - 9 \div .08 + \frac{4}{5} - 5.6}[/tex]
The next step is to divide.
[tex]\mathrm {\frac{7}{4} - 112.5 + \frac{4}{5} - 5.6}[/tex]
After that, add.
[tex]\mathrm {\frac{7}{4} - 112.5 + 0.8 - 5.6}[/tex]
[tex]\mathrm {\frac{7}{4} - 111.7 - 5.6}[/tex]
Finally, subtract the remaining terms.
[tex]\mathrm {1.75 - 111.7 - 5.6}[/tex]
[tex]\mathrm {-109.95 - 5.6}[/tex]
[tex]\mathrm {-115.55}[/tex]
The final answer is -115.55.
I hope this helped solve the problem.
Good luck on your studies!
Answer:
-115.55
Step-by-step explanation:
7/4 -9÷ .08 + 4/5 -7 * .8
I would change fractions to decimals
1.75 - 9 ÷ .08 +.8 -7 * .8
Now using pemdas, multiply and divide from left to right
1.75 -112.5 +.8 -7 * .8
1.75 -112.5 +.8 -5.6
Now add and subtract from left to right
-110.75+.8 -5.6
-109.95-5.6
-115.55
Use an appropriate half-angle formula to find the exact value of the expression. cos(22. 5°)
The value of given trigonometric value cos(22. 5°) is 0.387.
According to the statement
we have given that the trigonometric value and we have to find the exact value of that given value with the help of the half angle formula.
So, For this purpose, we know that the
The half angle formulas are used to find the exact values of the trigonometric ratios of the angles like 22.5°.
So,
The given value is :
cos(22. 5°)
Then the value of cos half angle formula is
[tex]cos (theta/2) = +- sqrt((1-cos theta) / 2)[/tex]
then
The value of θ/2 is 22.5 degree.
And θ is 22.5*2
θ = 45 degree
and cos 45 degree is 1/squareroot 2
And by this the value of given value become is
[tex]cos 22.5 = +\sqrt{((\sqrt{2} -1)/(2 \sqrt{2} )) } = + 0.3827[/tex]
So, The value of given trigonometric value cos(22. 5°) is 0.387.
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Jane gained 25 points in the first round of a game. In the second round she lost 40 points and
on the third round she gained 10 points. Write and evaluate an expression to find how many
points Jane gained or lost.
Jane lost 5 points in the game.
Given that, Jane gained 25 points in the first round of a game. In the second round, she lost 40 points and in the third round, she gained 10 points.
We need to write and evaluate an expression to find how many points Jane gained or lost.
What are integers?An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero.
Now, for the given situation we can write an expression as follows:
25 – 40 + 10
=25 + 10 + ( -40 )
=35 -40= -5
Therefore, Jane lost 5 points in the game.
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a section of a circle has both endpoints on the circle. what is the section of the circle called
Answer:
ChordStep-by-step explanation:
What is chord?A chord is a straight line that connects two points on a curve. An arrangement of three or more notes that blend harmoniously when played together.
A section of a circle has both endpoints on the circle. Chords are the sections of a circle.
Therefore, the final answer is "chords".
I hope this helps, let me know if you have any questions.
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A rotating sprinkler head sprays water as far as 20 feet. the head is set to cover a central angle of . what area of grass will be watered?
The area of the grass that will be watered is given by 800/9 pi ft^2.
What is the area of a circle?
Area of a circle is the region occupied by the circle in a two-dimensional plane. It can be determined easily using a formula, A = πr2, (Pi r-squared) where r is the radius of the circle. The unit of area is the square unit, such as m2, cm2, etc. Area of Circle = πr2 or πd2/4, square units. where π = 22/7 or 3.14.The area of a circle of radius r is given by:
A = πr²
In this problem, a rotating sprinkler head sprays water as far as 20 feet, hence the radius is of r = 20 ft.
It covers a central angle of 80º, while an entire circle has 360º, hence the area of grass that will be watered corresponds to 80/360 = 2/9 of the area of the circle.
Hence the watered area in ft² is given by-
A = 2/9 π × (20)²
= 800π/ 9
Therefore, the area of the grass that will be watered is given by 800/9 pi ft^2.
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HELP ME ASAP!!! I WILL GIVE MANY POINTS and
The 8 cm circle radius and the location of the circle X gives the following values;
(a) tan(<XAB) = -(r - 8)/(2•r + 4) = (8 - r)/8
Which gives;
r = (8 - 4)÷2 = 2(b) <XAB is approximately 0.644 radians
(c) The area of the shaded region is approximately 3.107 cm²
Which method can be used to analyze the figure?8 × (8 - r) = 0.5 × 16 × (8 + r) × sin(A)
(8 - r) = (8 + r) × sin(A)
sin(A) = (8 - r)÷(8 + r)
(8 - r)² = 8² + (8 + r)² - 2×8×(8 + r)×cos(A)
16×(8 + r)×cos(A) = (8² + (8 + r)²) - (8 - r)²
Which gives;
cos(A) = ((8² + (8 + r)²) - (8 - r)²) ÷ (16×(8 + r))
cos(A) = (2•r + 4)/(r + 8)
tan(A) = ((8 - r)÷(8 + r))/( (2•r + 4)/(r + 8))
tan(A) = -(r - 8)/(2•r + 4) = (8 - r)/8
(8 - r)/(2•r + 4) = (8 - r)/8
8 = 2•r + 4
2•r + 4 = 8
Therefore;
r = (8 - 4)÷2 = 2(b) sin(A) = (8 - r)÷(8 + r)
sin(A) = (8 - 2)÷(8 + 2) = 0.6
Therefore;
<XAB = <A = arcsin(0.6) ≈ 0.644 rad
<XAB in degrees ≈ 36.87°
Angle at sector PXQ = 180° - 2 × (36.87°) ≈ 106.26°
Area of sector PXQ ≈ (106.26°/(360°)) × π × 2²
(106.26°/(360°)) × π × 2² ≈ 3.71
Area of sector APO ≈ (36.87°/(360°)) × π × 8² ≈ 20.59
Area of triangle AXB = 8 × (8-2) = 48
The shaded area is therefore;
48 - (2×20.59 + 3.71) ≈ 3.107
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a) The radius of the small circle is 2 centimeters.
b) The measure of the angle XAB is approximately equal to 51.340°.
c) The area of the shaded region is approximately equal to 2.423 square centimeters.
How to analyze a system formed by three semicircles and a circle
In this question we must analyze a geometrical system formed by three semicircles and a circle. The small circle touches the two side semicircles tangentially at points P and Q and the uppermost section of it also tangent to the central semicircle (point R).
(a) Therefore, we have to solve the following system of equations:
8² + h² = (8 + r)² (1)
h + r = 8 (2)
By (2) in (1):
8² + (8 - r)² = (8 + r)²
32 · r = 64
r = 2
The radius of the small circle is 2 centimeters.
(b) The measure of the angle XAB is found by trigonometric functions:
tan m ∠ XAB = OX / AO
tan m ∠ XAB = 10 / 8
m ∠ XAB ≈ 51.340°
The measure of the angle XAB is approximately equal to 51.340°.
(c) The area of the shaded region if the area of the triangle AXB minus the areas of the three circular sections, that is:
A = 0.5 · (16 cm) · (10 cm) · sin 51.340° - (51.340° / 180°) · π · (8 cm)² - 0.5 · (77.320° / 180°) · π · (2 cm)²
A ≈ 2.423 cm²
The area of the shaded region is approximately equal to 2.423 square centimeters.
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A(n) Blank______ is a two-dimensional representation of data in which values are represented by colors. Multiple choice question. disintermediation long tail heat map interactivity
Answer:
heat map is the answer
Mya has ballet lessons every sixth day and swimming lessons every fourth day. Today she has both lessons. In how many days will Mya have both lessons on the same day again?
Mya would have both lessons on the same day again on the 12th day.
In how many days would they have the classes on the same day again?In order to determine when they would have the both lessons on the same day, the common multiple of 6 and 4 has to be determined. A multiple of a number is the product of an integer and that number. A common multiple is the multiple that is common to two or more numbers.
Multiple of 6 = 6, 12, 28, 24, 30, 36,
Multiple of 4 = 4, 8, 12, 16, 20, 24, 28
Common multiple = 12
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If f(x) = x/3 and g(x)=1/x find f(x)-g(x)
A.
x-1/3-x
C. 1/3
B. x²-3/3x
D. 3-x²/3x
Please select the best answer from the choices provided
Answer:
x^2-3/3x
Step-by-step explanation:
x/3-1/x=x*x-1*3/3*x
=x^2-3/3x
what is the sum of (6x^2-x+8) - (x^2+2)
Answer:
5x^2-x+6
Step-by-step explanation:
That should work
What is 3.172 rounded to the nearest tenth?
3.2
3.3
3.7
3.8
Answer: 3.2
Step-by-step explanation: 3.2 is the answer because the number 7 is higher than 5. so the number 1 goes up by one, which that equals 3.2
What is the value of the variable intresult, given: int a = 3, b = 2, c = 10, intresult; intresult = c *b;
The integer value of the given integers is 20.
According to the statement
we have given that the some integers values like a = 3, b = 2, c = 10 and we have to find the intresult = c *b it means integer result = c *b
So, For this purpose we know that the
An integer is a whole number (not a fractional number) that can be positive, negative, or zero.
And here integer a = 3 and b = 2 and c = 10 and we have to find the value of c *b then
intresult = c *b
Substitute the values in it then
intresult = 10 *2
intresult = 20.
So, the intresults is 20 from the given numbers.
Hence, The integer value of the given integers is 20.
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In the figure, ABCDEF is a regular hexagon. △ BDF is drawn by joining the
alternate vertices. Show that △ BDF is equilateral
Answer:
Step-by-step explanation:
Congruent parts of congruent triangles are congruent, so we can easily demonstrate BD ≅ DF ≅ BF.
ProofAB ≅ BC ≅ CD≅ DE≅ EF ≅ FA . . . . definition of regular hexagon
∠A ≅ ∠C ≅ ∠E . . . . definition of regular hexagon
ΔFAB ≅ ΔBCD ≅ ΔDEF . . . . SAS congruence
FB ≅ BD ≅ DF . . . . CPCTC
ΔBDF is equilateral . . . . definition of equilateral triangle