Answers
Answer:
[tex]4^{2} = 4 x 4 =16[/tex]
Step-by-step explanation:
First of all we need to understand what a perfect square is:
It is an integer which is the square of another integer integer; in other words, it is the product of some integer with itself.
For example: 9, this is a square number since itt equals [tex]3^{2}[/tex] and 3x3 = 9
Related Questions
PLS HELP BEST OF YOUR ABILITY
Figure B is a scaled copy of Figure A.
What is the scale factor from Figure A to Figure B?
Answers
Answer: x = 60°
Step-by-step explanation:
We know a circle is equal to 360°, so we can subtract from 360° to find x using vertical angles and other given details.
Vertical (opposite) angles are equal to each other. This is why, for example, we know AGE and FGC are both 30°.
See attached for a breakdown of the angles.
360° - 30° - 30° - 90° - 90° = 2x
120° = 2x
60° = x
Answer:
x = 60°
Step-by-step explanation:
Hello!
The sum of angles on a line is 180°.
Given that Angle G is 90°, the other measure on Line DB would also be 90°. The missing angle next to x can be called y.
x° + y° = 90°Angle YThe Angle y can be calculated by using the Vertical Angles Theorem. The theorem states that if two non-adjacent angles are formed by the intersection of two lines, the measures of the angles are congruent.
This means that the measure of Angle y is 30°, as the 30° angle and y are non-adjacent and are formed by the intersection of lines AC and EF.
Angle XWe can now solve for x by plugging in 30° for y in the equation.
x° + y° = 90°x° + 30° = 90°x° = 60°The value of x is 60°.
PLEASE PLEASE PLEASE HELP ME ASAP!!!
Answers
2 UT≈UT
3 BT≈EU
4 BU≈ET
The table completing the proof is:
Statements Reasons
Draw segments UT Construction.
[tex]\overline {UT}[/tex] ≅ [tex]\overline {UT}[/tex] This is reflexive property.
[tex]\overline{BT}[/tex] ≅ [tex]\overline {EU}[/tex] Given
[tex]\overline {BU}[/tex] ≅ [tex]\overline {ET}[/tex] Given
ΔUBT ≅ ΔUET SAS congruency
∠B ≅ ∠E Proof
We have,
From the figure,
Step 1:
Draw segments UT.
Construction.
Step 2:
UT ≅ UT
This is reflexive property.
Step 3:
BT ≅ EU
Given
Step 4:
BU ≅ ET
Given
Step 5:
ΔUBT ≅ ΔUET
This is due to SAS.
Side-Angle-Side (SAS) Congruence.
The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.
Step 6:
∠B ≅ ∠E
Thus,
Statements Reasons
Draw segments UT Construction.
[tex]\overline {UT}[/tex] ≅ [tex]\overline {UT}[/tex] This is reflexive property.
[tex]\overline{BT}[/tex] ≅ [tex]\overline {EU}[/tex] Given
[tex]\overline {BU}[/tex] ≅ [tex]\overline {ET}[/tex] Given
ΔUBT ≅ ΔUET SAS congruency
∠B ≅ ∠E Proof
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In a survey of a community, 60% of people liked summer season, 70% liked winter season and 15% liked none of the seasons.
a. Illustrate the given information in a venn diagram.
b. Find the percentage of the people liked both the seasons.
c. If 180 people liked summer season only, how many liked winter season only?
Please answer me
and pls don't answer anything wrong for getting points only .
●•●
●•●
●•●
●•●
Answers
Answer:
Step-by-step explanation:
n(U)=100%
n(S)=70%
n(W)=15%
n(S union w compliment)=20%
n(s intersection W)=?
n(u)=n(s)+ n(w)+ n(s union w compliment)- n(s intersection w)
or 100%=70% +15%+ 20% - n( s intersection w)
or 100%= 95%- n(s intersection w)
or 100%-95%=n(s intersection w)
or 5%= n( s intersection w)
now;
n(only w)=n(w)- n(s intersection w)
=15%- 5%
=10%
10%of people only like winter season.
i think the question is to find people who only like winter season.
if not then ans is 15% according to question.
a) The illustration of the given information in a Venn diagram is attached.
b) The percentage of people who liked both seasons is 45%.
c) If 180 people liked the summer season only, proportionately, the number of people who liked the winter season only is 300.
How the Venn diagram is illustrated:The Venn diagram, which shows similarities and contrasts, can be illustrated based on the given percentages.
Percentages are one of the ways to depict proportions, which are the equation of two ratios.
The percentage of survey people who liked the summer season = 60%
The percentage of survey people who liked the winter season = 70%
The percentage of survey people who liked none of the seasons = 15%
The percentage of participants who liked one of the seasons = 85% (100% - 15%)
The total percentage of survey people who liked either summer or winter = 130% (60% + 70%)
b) The percentage of survey people who liked both seasons = 45% (130% - 85%)
The percentage that liked only summer = 15% (60% - 45%)
The percentage that liked only winter = 25% (70% - 45%)
c) 180 people liked summer only
180 = 15%
Proportionately, if 180 = 15% of the people, the total number of people = 1,200 (180/15%)
The number of people who liked winter season only = 300 (1,200 x 25%)
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Pls help
A bag contains 8 red pens, 7 blue pens, and 14 black pens. Denato will pull a pen from the bag. Write two different scenarios: one that is a dependent event and one that is an independent event.
Answers
P(black) = 6/15
P(red or black)
= 4 / 15 + 6 / 15
= 10 / 15
= 2 / 3
P(black)= 6/15
P(red or black)= 10/15
Independent= 2/3
PLEASE HELP!!!!!!!! ASAP
A circle has a radius of 5 inches. A semicircle has a radius of 10 inches. How do the areas compare?
1. The circle has twice the area of the semicircle.
2. The semicircle has four times the area of the circle.
3. The semicircle has twice the area of the circle.
4. The areas are equal.
Question #2
A circle has a diameter of 6 cm. What is its area?
1. 37.68 cm 2
2. 9.42 cm 2
3. 28.26 cm 2
4. 18.84 cm 2
Answers
Answer: #1) 3. The semicircle has twice the area of the circle
#2) 3. 28.26 cm
Step-by-step explanation:
#1) The formula for area of circle is A=πr².
First, plugging in the radius for the circle, A=π(5)², we get an area of about 78.54 inches².
Plugging in the radius for the semicircle, A=π(10)², which is equal to 314.159.... However, since it is a SEMI-circle, we will divide this value by 2 to give us an area of about 157.08 inches².
Comparing the two areas, we see the semicircle has twice the area of the circle as 78.54 x 2 = 157.08.
#2) Again use the area of circle formula, A=πr². The radius is half the diameter, so half of 6cm=3cm, meaning r=3. plug it in.
A= π(3)²
A= 28.27 cm²
Question 2: The area of the circle would be 28.26 cm 2
help quick ples
What is the range of possible sizes for side x?
Answers
Answer: 0.5 < x < 16.5.
Step-by-step explanation: Two sides of triangle: 8.0 units and 8.5 units
Measure of third side = x
According to the triangle's inequality,
Sum of any two sides > third side. (i)
Difference between the sides < third side. (ii)
If x is the third side, then
x < 8+8.5 [Using (i)]
i.e. x< 16.5
Also, x > 8.5-8 [Using (ii)]
i.e. x> 0.5
Hence, Range of possible sizes for side x would be 0.5 < x < 16.5.
The range of possible sizes for side x is,
⇒ 0.5 < x < 16.5
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Two sides of the triangle are 8.5 and 8.
Now, The range of possible sizes for side x is,
⇒ x < 8.5 + 8
⇒ x < 16.5
⇒ x > 8.5 - 8
⇒ x > 0.5
Thus, The range of possible sizes for side x is,
⇒ 0.5 < x < 16.5
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MORE HELP PLEASE :D :D :D
Answers
Answer:
11. When 3 students are working, they each need to plant 36 trees. So the club must plant 36*3 = 108 trees total. The equation would be t = 108/s, and the constant of proportionality is 108.
12. The constant of proportionality represents the number of trees the club needs to plant regardless of the number of participants.
HEEEELLLLLLLPPPPPPPP
The hexagon PQRSTU is plotted on a coordinate plane with vertices P(–1, 0), Q(–1, 3), R(1, 4), S(2, 5), T(4, 4), and U(4, 0). What is the hexagon's perimeter?
15.8 units
14.4 units
17.8 units
12.0 units
Answers
in a three digit number, the sum of the digits in the units and the hundreds positions is equal to the number of tens. One more than three times the units igt is the hundreds digit. If there are 9 tens in the original number, find its reverse
Answers
Michael is baking cookies. His cookie recipe calls for 3/4 cups sugar and makes 24 cookies. If he wants to scale the recipe to make exactly 18 cookies, how many cups of sugar will he need? Express your answer as a mixed number.
Answers
[tex]\begin{array}{ccll} \stackrel{cups}{sugar}&cookies\\ \cline{1-2} \frac{3}{4}&24\\[1em] x&18 \end{array}\implies \cfrac{ ~~ \frac{3}{4} ~~ }{x}~~ = ~~\cfrac{24}{18}\implies \cfrac{ ~~ \frac{3}{4} ~~ }{\frac{x}{1}}~~ = ~~\cfrac{4}{3}\implies \cfrac{3}{4}\cdot \cfrac{1}{x}=\cfrac{4}{3} \\\\\\ \cfrac{3}{4x}=\cfrac{4}{3}\implies 9=16x\implies \cfrac{9}{16}=x[/tex]
now, the fraction is not an improper one, thus we can't quite put it in a mixed format, unless you count 0 as its whole, then I guess we can say is [tex]0\frac{9}{16}=x[/tex]
Answer:
9/16
Step-by-step explanation:
24/6=4
18/6=3
(3/4)x(3/4)=9/16
Select each expression that is equivalent to 3(n + 6). Select all that apply. (ANSWER ASAP)
A.
3n + 6
B.
2(n + 6) + (n + 6)
C.
2(n + 6) + n
D.
3n + 18
E.
2n + 2 + n + 4
Answers
Answer:
Step-by-step explanation:
This expression involves the distributive property. In the distributive property, there is a number followed by an equation in parenthesis.
3(n+6)
To simplify it, you have to multiply the first number by each number in the parenthesis, separately:
3(n+6)
3n + 3(6) or 3xn + 3x6 (same thing)
3n+18
Finally, we can check the other 4 choices to double check.
A. 3n+6 (wrong)
B. 2(n+6) + (n+6)=
2xn + 2x6 + n + 6
2n + 12 + n + 6
combine like terms, or all the terms that are the same. start with the Ns, then the numbers:
2n+n + 12+6
3n+18
C. 2(n+6)+n= 2n+2(6) +n = 2n+12+n= 2n+n+12= 3n+12
D.3n+18
E. 2n+2+n+4= 2n+n+2+4= 3n+6
Answer= B and D
hope this helps :))
Answer: 3n+18 bcz of the distributive property
Step-by-step explanation:
b & d
20 POINTS+BRAINLIEST 8TH GRADE MATH PART 4: Imaginary operations- please explain how you came to the answer because this doesn't make sense
Answers
we can start by seeing that b is being multiplied by 6 so we should do the same to 4.
6 * 4 = 24
Next we see that 12 is being subtracted from b so we should do the same to 4.
24 - 12 = 12
Therefore, 12 is your final answer.
6. The perimeter of the figure below is equal to 150 cm. What is the length of the longest
side of the polygon? Use mathematics to explain how you determined your answer.
Use words, symbols, or both in your explanation. **SHOW WORK!!!**
x
x+6
x+4
x+5
x+8
x+1
LONGEST SIDE:__________
Answers
Answer: 29 centimeters long
Step-by-step explanation: What you want to do in this kind of situation is to combine all like terms. After, you would get 6x + 24 = 150. What you would do here is to get 6x by itself by subtracting 24 on both sides. Now 6x = 126, to isolate the variable you divide 6 on both sides to get x = 21. However, the questions is asking for the longest side and you know that x + 8 will be the greatest out of all. So, x = 21 + 8 equals 29 centimeters. I hope this helps, please give me a brainlest! :)
Perimeter: all sides added
First add the given numbers
6+4+5+8+1=24
Then subtract that number from answer
150cm-24cm=126cm
Divide that by the amount of numbers
126/6=21
That means ’x’ is 21
Now you have;
21(x)
27(x+6)
25(x+4)
26(x+5)
29(x+8)
22(x+1)
Make sure they all add to 150
21+27+25+26+29+22=150cm
To find the longest side you look and the largest number which is 29
LONGEST SIDE= x+8
a two digit number has three times as many tens than ones. The difference between the number and twice the reversed number is 15.Find the number
Answers
olution
verified
Verified by Toppr
Let the one's digit be y and tens digit be x,
Number = 10x + y
Then,x=3y⋯(i)
Reversed number = 10y + x
A.t.Q :- (10x+y)−(10y+x)=36 Put x = 3y in eq. (i)
⇒9x−9y=36
⇒x−y=4⋯(ii)
⇒3y−y=4
∴2y=4 x=3y ∴x=6
y=2
∴ Number = 62
3x3=9
93-39-39=15
There are 12 different cookies on a plate. Aiden will choose 3 of these cookies to pack in his lunch. How many different groups of cookies can he choose from 12?
A) 220
B) 320
C) 420
D) 440
I know the correct answer is A) 220, but I am not sure why?
Answers
Answer: 4
Step-by-step explanation: 3%12=4
Separate the rational from irrational
Answers
Answer:
101 squared not rational
-25 squared is rational
pi or any number times pi is not rational
Step-by-step explanation:
-25 is rational
factor the following expression. 3x^3-12x^2-2x-8
Answers
i hope that helps with you’re expression
Polynomials are mathematical expressions made up of many terms.
To simplify a polynomial as much as possible, you must group all the like terms and rearrange them from higher to lower power.
3x³ - 12x² - 2x-8The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of any constant term is 0. The derivative of axⁿ it's naxⁿ⁻¹.
3 × 3x³⁻¹ + 2(-12)x²⁻¹ - 2x¹⁻¹Multiply 3 x 3.
9x³⁻¹ + 2(-12)x²⁻¹ - 2x¹⁻¹Subtract 1 from 3.
9x² + 2(-12)x²⁻¹ - 2x¹⁻¹Multiply 2 by −12.
9x² - 24x²⁻¹ - 2x¹⁻¹Subtract 1 from 2 and subtract 1 from 1.
9x² - 24x¹ - 2x⁰For any term t, t¹ = t.
9x² - 24x - 2x⁰For any term t except 0, t⁰=1.
9x² - 24x - 2Answer: The solution of the polynomial 3x³ - 12x² - 2x-8 is 9x² - 24x - 2.
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Please Helpppp meeeeee! I really need it!!!
Answers
You divide original by dilated to get the scale factor!
Hope this helps
Which of the following can be directly measured using a ruler?
A. Distance between the earth and the moon
B. Distance between two cities
C. Width of a window frame
D. Height of a mountain
Answers
Answer:
C
Step-by-step explanation:
windows arent that big compared to 2 cities, distance between the and moon, or a height of a mountain. so i think C is the only reasonable answer
Rulers are only 12 inches measuring all the choices beside a window frame would take forever, and since a window frame is smaller itll be easier
11. VANISHING POINT:
The vanishing point of the picture is represented by point B.
a. The measure of ∠ ABD is 6.2 times greater than the measure of ∠ CBD. Find the measure of ∠ CBD.
b. ∠ FBE and ∠ EBD are congruent. Find the measure of ∠ FBE
Answers
Answer:
awnser B and fbe is 55
Step-by-step explanation:
the entire picture is 180 so cut in half there for 90 ok abfe is 90 so bigger section is always 55 and smaller is 35 ok
If the measure of ∠ABD is 6.2 times greater than the measure of ∠CBD=25° and if ∠ FBE and ∠ EBD are congruent then ∠ FBE =65°.
Given that the measure of ∠ ABD is 6.2 times greater than the measure of ∠ CBD and ∠ FBE and ∠ EBD are congruent.
We are required to find the measure of ∠ CBD and ∠ FBE.
∠ABD=6.2*∠CBD--------1
∠ABD+∠CBD=180°
6.2 ∠CBD+∠CBD=180 (From equation 1)
7.2 ∠CBD=180
∠CBD=180/7.2
∠CBD=25°
∠ABD=6.2*25
=155°
∠ABD=90+∠EBD
155=90+∠EBD
∠EBD=155-90
∠EBD=65°
Because ∠ FBE and ∠ EBD are congruent, ∠ FBE =65°.
Hence if the measure of ∠ABD is 6.2 times greater than the measure of ∠CBD=25° and if ∠ FBE and ∠ EBD are congruent then ∠ FBE =65°.
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How can you rewrite the number 1 as 10 to a power?
How can you rewrite the number 1 as 2 to a power?
Answers
Answer:
To rewrite 1 as 10 to power, you'd write 10^0 (ten to the power of zero).
Any non-zero number with the power of zero equals one. You might be wondering why, so to prove this theorem...
2^1
-----
2^1
Since the numbers are the same on the numerator and denominator, we can agree that the fraction above is equal to 1, yes? It is also equal to...
2^1-1
...because of the quotient rule. And what does 1-1 equal? 0. So you'd get
2^0
This is known as the "zero-exponent rule!"
Hope this helped.
Step-by-step explanation:
BEST ANSWER GETS BRAINLIEST! PLEASE HELP! Joanna and Linne were trying to describe parts of the expression 3x²+x+5. Joanna said, "The entire expression is the sum of 4 terms." Linne said, "The coefficients are 3 and 0." Who is correct?
Answers
The expression 3x²+x+5 is the sum of 3 terms and coefficients are 3 and 1 therefore, Neither Joanna nor Linne is correct.
What is an algebraic expression?An algebraic expression is consists of variables, numbers with various mathematical operations,
The given expression is,
3x²+x+5.
According to Joanna, the entire expression is the sum of 4 terms.
and according to Linne the coefficients are 3 and 0.
Since, The expression is the sum of 3 terms:
Square power of x, x and a constant 5.
Also, the coefficient of x² is 3 and coefficient of x is 1.
Therefore, the Joanna and Lienna both are wrong.
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50 POINTS+BRAINLIEST 8TH GRADE MATH: A truck leaves a construction site with its cargo hold 1/4 full of sand. On the way, the truck stops at a depot, where 9 tons of sand is added to the cargo hold, making it 5/8 full. How many tons of sand could the cargo hold contain if completely full?
Answers
Answer:
24 tons
Step-by-step explanation:
My senses point to this is the correct answer.
Answer:
See below
Step-by-step explanation:
5/8 - 1/4 = 3/8ths of L = 9 tons ......
3/8 L = 9
L = 9 * 8/3
= 24 tons full load
PLEASE I REALLY NEED THIS RN!!! PLEASE HELP ME!!!
Answers
1) [tex]\overline{UP}[/tex]
2) [tex]\overline{UP} \cong \overline{UP}[/tex]
3) [tex]\overline{UR}[/tex]
4) [tex]\overline{PR}[/tex]
5) [tex]\triangle OUP \cong \triangle RUP[/tex] by SSS
6) CPCTC
Answer:
Medunno got the first pic, now i help with the second pic.
Step-by-step explanation:
Draw segment PU (don't forget the line above)
PU ≅ PU reflexive property
UO≅ UR given
PO≅ PR given
△OUP ≅ △RUP by SSS congruence postulate
∠O ≅ ∠R corresponding parts of congruent triangles are congruent.
Ten points QRSTUVWXY and Z are equally and consecutively spaced on a circle.
What is the size, in degrees, of the angle ∠QTW?
Answers
The size of ∠QTW in degrees is 72°. See the explanation below. This is based on the concept of opposite sides in a quadrilateral.
What is the logic leading to the above result?QSUWY which is a pentagon is regular that mean:
∠QYW = 108°
The quadrilateral QTWY is a cyclic one. This means that we can apply the rule that states that opposites sides must add up to 180°
Thus, ∠QTW =
180 - 108
= 72°
What is a quadrilateral?A closed quadrilateral has four sides, four vertices, and four angles. It is a form of polygon.
In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees.
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Full Question:
See the attached image for missing details.
Simplify -15- |-7.5|
Answers
Answer:
-22.5
Step-by-step explanation:
-15- |-7.5|
after taking the absolute value off, -7.5 would become positive 7.5. But then the negative outside the absolute value makes it negative again.
-15-7.5
=-22.5
The simplified expression -15 - |-7.5| is equal to -22.5.
To simplify the expression -15 - |-7.5|, we'll follow these steps:
Evaluate the absolute value: |-7.5|.
The absolute value of a number is its distance from zero on the number line. In this case, |-7.5| is equal to 7.5 because 7.5 units away from zero.
Substitute the absolute value into the expression:
-15 - 7.5.
Perform the subtraction:
-15 - 7.5 = -22.5.
Therefore, the simplified expression -15 - |-7.5| is equal to -22.5.
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HELP ASAP!!! 99 ASSIGNMENTS TO GO!!!! 25 POINTS!!!!
Answers
2: Unit Rate
3: Scale Drawing
4: Similar Figures
5: US Customary System
6: Rate
7: Scale
I hope this helps! :)
Answer:
1. Ratio
2. Unit Rate
3. Scale Drawing
4. Similar Figures
5. US Customary System
6. Rate
7. Scale
Step-by-step explanation:
Most of them are just definitions
Simplify 2/3 +9-1/24
Answers
LCM is 72
2/3 * 24/24 = 48/72
9/1 * 72/72 = 648 / 72
1/24 * 3/3 = 3/72
48/72 + 648/72 - 3/72
693/72
231/24
77/8
Answer:
[tex]9 \frac{5}{8} [/tex]
Step-by-step explanation:
[tex]1. \: lcd = 24 \\ 2. \: \frac{2 \times 8}{3 \times 8} + 9 \times \frac{24}{24} - \frac{1}{24} \\ 3. \: \frac{16}{24} + \frac{216}{24} - \frac{1}{24} \\ 4. \: \frac{16 + 216 - 1}{24} \\ 5. \: \frac{231}{24} \\ 6. \: \frac{77}{8} \\ 7. \: 9 \frac{5}{8} [/tex]
I'm not good at this kind of meth :C
Is Figure B a scale copy of Figure A?
Answers
Reason - scale factor of b is 2 meaning each side has to be x2 to give you the points of A
PLEASE HELP ME ASAP!!!! PLEASE!!!
Answers
1) [tex]\overline{UT}[/tex]
2) [tex]\overline{UT} \cong \overline{UT}[/tex]
3) [tex]\overline{BT} \cong \overline{EU}[/tex]
4) [tex]\overline{BU} \cong \overline{ET}[/tex]
5) [tex]\triangle UBT \cong \triangle TEU[/tex] by SSS
6) CPCTC