Answer:
45 degrees
Step-by-step explanation:
OK so
is L and N are equal you can represent that as 2x
the remaining angle should be 90 because right triangles always have a 90 degrees angle somewhere
you know that all three angles of a triangle add up to 180 so that's what the total is
2x+90=180
subtract 90 from both sides
2x=90
divide both sides by 2
x=45
Simplify :
-4.7 + 6.5n - 5 ( 1.2n - 3)
Answer:
QSWCXAD
Step-by-step explanation:
QSQWW
Answer:
10.8
Step-by-step explanation:
Solve the equation r = 1/(x-1) for x in terms of r. In other words, manipulate the equation until you have x equal to an expression with r's in it but no x's.
Answer:
[tex]x=\frac{1}{r} +1[/tex]
Step-by-step explanation:
[tex]r=\frac{1}{x-1}[/tex]
[tex]r(x-1)=1[/tex]
[tex]x-1=\frac{1}{r}[/tex]
[tex]x=\frac{1}{r} +1[/tex]
Answer:
[tex]x=\dfrac{1+r}{r}[/tex]
Step-by-step explanation:
Given equation:
[tex]r=\dfrac{1}{(x-1)}[/tex]
Multiply both sides by (x - 1):
[tex]\implies r(x-1)=\dfrac{1}{(x-1)} \cdot (x-1)[/tex]
[tex]\implies r(x-1)=1[/tex]
Expand the brackets:
[tex]\implies rx-r=1[/tex]
Add r to both sides:
[tex]\implies rx-r+r=1+r[/tex]
[tex]\implies rx=1+r[/tex]
Divide both sides by r:
[tex]\implies \dfrac{rx}{r}=\dfrac{1+r}{r}[/tex]
[tex]\implies x=\dfrac{1+r}{r}[/tex]
the sum of the length of a side of two squares is 18cm and the sum of their areas is 212 cm^2. find the length of a side of the smaller square
Answer:
Hope the picture will help you......
help please <3 help please <3 help please <3
Answer:
[tex]w=\frac{420}{p}[/tex]
Step-by-step explanation:
So generally a direct proportion can be expressed as:
[tex]k=\frac{y}{x}[/tex]
essentially where the y/x is equal to some constant value.
Whenever you have an inverse proportion, you can generally express it as:
[tex]k=xy[/tex]
where the product of x and y is equal to some constant value.
So we can check for inverse proportion, by seeing if the xy product is constant
1 * 420 = 420
2 * 210 = 420
3 * 140 = 420
Since the xy (or technically wp, or in general the product of the independent variable and dependent variable) product is constant, this relationship can generally be expressed as: [tex]wp=420[/tex]
We can divide both sides by p, so we can isolate the dependent variable (p)
[tex]w=\frac{420}{p}[/tex]
How are the pieces of a step function related to the domain of the function? Justify your thinking.
Step-by-step explanation:
As we know, for any function domain is referred to as the set of input values that can be taken for an independent variable in the given function. Range of a function is defined as the set of output values generated for the domain (input values) of the function. In the case of a step function, for each value of x, f(x) takes the value of the greatest integer, less than or equal to x. For example:
[-2.19] = -3
[3.67] = 3
[-0.83] = -1
The domain of this function is a group of real numbers that are divided into intervals such as [-5, 3), [-4, 2), [-3, 1), [-2, 0) and so on. This explains the domain and range relations of a step function.
This can be generalized as given below:
[x] = -2, -2 ≤ x < -1
[x] = -1, -1 ≤ x < 0
[x] = 0, 0 ≤ x < 1
[x] = 1, 1 ≤ x < 2
15 PTS WILL MARK BRAINLIEST
Add [tex](72ab+21a^{3} b^{2} +53a^{3} ) & (-23ab+17a^{2} b^{3} + 5a)[/tex]
Answer:
It is equal to:
49ab + 21a^3 b^2 + 17a^2 b^3 + 53a^3 + 5a
Step-by-step explanation:
Answer:
-1656a2b2+1224a3b4+360a2b-483a4b3+357a5b5+105a4b2-1219a4b3+901a5b3+265a4
Step-by-step explanation:
distibute
Marita spent $13.0 at the grocery store. She bought pears, kiwis and pineaples. Pears cost $0.50 each, pineapples cost $1.50 each, and kiwis are $0.30 each. how many of each kind of fruit did she buy if she bought 9 more pears than pineapples and 2 fewer kiwis than pears?
Answer:
◘ 12 pears
◘ 3 pineapples
◘ 10 kiwis
Step-by-step explanation:
Let [tex]x[/tex] be the number of pears bought.
Therefore:
• number of pears = [tex]x[/tex]
• number of pineapples = [tex]x - 9[/tex]
• number of kiwis = [tex]x - 2[/tex]
We know that the total cost was $13.50.
This means if she bought [tex]x[/tex] pears at $0.50 each, [tex](x - 9)[/tex] pineapples at $1.50 each, and [tex](x -2)[/tex] kiwis at $0.30 each, the total would be $13.50.
∴ [tex][x \times 0.50] + [(x-9) \times 1.5] + [(x-2) \times 0.3] = 13.50[/tex]
Expanding and multiplying:
⇒ [tex]0.5 x + 1.5x - 13.5 + 0.3x - 0.6 = 13.5[/tex]
Collect like terms:
⇒ [tex]2.3x -14.1 = 13.5[/tex]
Solve for [tex]x[/tex]:
⇒ [tex]2.3x = 13.5 + 14.1[/tex]
⇒ [tex]2.3 x = 27.6[/tex]
⇒ [tex]x = 27.6 \div 2.3[/tex]
⇒ [tex]x = \bf 12[/tex]
Therefore, she bought:
• 12 pears
• [tex]x - 9[/tex] = 12 - 9 = 3 pineapples
• [tex]x - 2[/tex] = 12 - 2 = 10 kiwis
Marita bought 12 pears, 3 pineapples and 10 kiwis.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
Let x the number of pears bought,
y the number of pineapples bought,
z the number of kiwis bought,
Given that, Marita bought 9 more pears than pineapples and 2 fewer kiwis than pears,
y + 9 = x
y = x -9 and
z + 2 = x
z = x - 2
We know that the total cost was $13.50.
This means if she bought pears at $0.50 each, pineapples at $1.50 each, and kiwis at $0.30 each, the total would be $13.50.
∴ 0.50x + 1.50y+ 0.30z = 13.50
Substitute the values of y and z in equation,
⇒ 0.50x + 1.50(x -9)+ 0.30(x - 2) = 13.50
Expanding and multiplying terms in equation,
⇒ 0.50x + 1.50x -13.50+ 0.30x - 0.60 = 13.50
Rearrange the like terms and apply the arithmetic operation
⇒ 2.3x - 14.1 = 13.50
⇒ 2.3x = 13.50 + 14.1
⇒ 2.3x = 27.6
⇒ x = 27.6/2.3
⇒ x = 12
Therefore, the number of pears bought = 12
So, the number of pineapples bought = 12 - 9 = 3
And the number of kiwis bought = = 12 - 2 = 10
Hence, Marita bought 12 pears, 3 pineapples and 10 kiwis.
Learn more about Arithmetic operations here:
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PLEASE ANSWER THIS
__________________
Ben is picking cherries to make jam. each cherry weighs about 1/2 ounce. There are 16 ounces in a pound. He needs 3 pounds of cherries. About how many cherries does he need to pick?
Answer:
96 Cherries
Step-by-step explanation:
This is a question on some unit conversions.
First we convert 3 pounds to ounces.
Given 16 ounces = 1 pound,
3 pounds = 3 x 16 ounces = 48 ounces
Next, we will find the number of cherries required.
Number of Cherries required = Total weight of cherries needed (in ounces) / Weight per cherry.
= [tex]\frac{48}{0.5}[/tex]
= 48 * 2
= 96 cherries
PLEASE HELP
What is the area of the triangle pictured?
516 sq. units
896 sq. units
448 sq. units
224 sq.units
Answer:
224
Step-by-step explanation:
a = (bxh)/2
a = (28x16)/2
a = 448/2
a = 224
Answer:
224 Sq. units
Step-by-step explanation:
A=16x28= 448 sq
=448/2
=224 Sq. units
I hope it's right
if x = 1/r + 1 then solve the equation xr + 2/3 = 2r (show your work)
If [tex]x = \frac{1}{r} +1[/tex]
We have:
[tex]xr + 2/3 = 2r\\ < = > xr - 2r = -2/3\\ < = > (x - 2)r = -2/3\\ < = > (1/r + 1 -2) r = -2/3\\ < = > (1/r - 1)r = -2/3\\ < = > (1/r)r - (1)r = -2/3\\ < = > 1 - r = -2/3\\ < = > r = 1 + 2/3 = 5/3[/tex]
ANSWER: r = 5/3 if x = 1/r + 1
Ok done. Thank to me :3
PLEASE!!!!! I REALLY NEED THIS ASAP!!!
(07.06) Which of the following graphs shows all the possible values for a number that is more than 8?
Number line with closed circle on 8 and shading to the left.
Number line with closed circle on 8 and shading to the right.
Number line with open circle on 8 and shading to the left.
Number line with open circle on 8 and shading to the right.
Please get to me soon!!!
Answer:i think C or E!
Step-by-step explanation:
Answer:
Its either C or E, I'm not sure
pls help best u can
What is the range of possible sizes for side x?
Which table represents a linear function?
o 16 30 one
as it forms a pattern
NEED HELP
rouund each number to the nearest TEN
# 1
82.14
#2
38.5
#3
41.3
Answer:
80, 40, 40
Step-by-step explanation:
The rule is if the number before the tens place is 5 or more round up and if it is 4 or less round down.
I like to look at it without the rule and what makes sense.
82.14: my choices are 80 or 90. What number is 82.14 closer to on the number line? 80.
38.5 The choices are 30 and 40. This number on a number line would be closer to 40
41.3 The choices are 40 and 50. On a number line this number would be closer to 40.
Sara has 845 beads to put on the bracelets she is making. It takes 13 beads to make each bracelet. How many bracelets can Sara make?
Answer:
65
Step-by-step explanation:
845 beads divided by 13 beads is 65. You can make 65 bracelets.
Please state your answer and explain clearly how you got to your answer. Please clarify and be specific. Thank you so much for you help!
Answer:
D. 1200 gallons
Step-by-step explanation:
Fractions of the total are given, as is the quantity the difference of those fractions represents. These can be used to write an equation to find the total.
SetupLet g represent the total number of gallons of fuel sold. Then the number of gallons of 87-octane sold is 0.50g, and the number of gallons of 89-octane sold is 0.35g. The difference is said to be 180 gallons:
0.50g -0.35g = 180
SolutionCollecting terms gives ...
0.15g = 180
Dividing by the coefficient of g, we find ...
g = 180/0.15 = 1200
The gas station sold 1200 gallons of fuel last weekend.
__
Additional comment
That's 600 gallons of 87-octane; 420 gallons of 89-octane; 120 gallons of 92-octane; and 60 gallons of 99-octane.
What is the difference between dilations and dilatations?
How many 5-digit numbers can be formed from using numbers 0-9?
Answer:
100,000
Step-by-step explanation:
From 0 to 99,999.
99,999 + 1 = 100,000
Also, there are 5 digits, and each digit can be one of ten.
10 × 10 × 10 × 10 × 10 = 100,000
Answer:
90 000 possibilities
Step-by-step explanation:
I will assume that numbers beginning with 0 are not valid
AND assume you can repeat the numbers
9 choices for first digit ( because you can't use ' 0 ' )
10 choices for second
10 choices for third
10 choices for fourth
10 choices for last
9 x 10 x 10 x 10 x 10 = 90 000
PLEASE HURRY!!!!! Which statement describes the situation shown in the graph?
Answer:
Sales increase with a decrease in the price.
Step-by-step explanation:
Use the tree diagram below to answer the question.
tree diagram with nine branches
How many outcomes are there that contain blue shirts?
3
9
6
1
Answer:
ITS 3
Step-by-step explanation:
Find the acute angle between two diagonals of quadrilateral ABCD if it is known that AB=BC=CD and AC=BD=AD.
Answer:
45⁰
Step-by-step explanation:
The quadrilateral ABCD is a square.
Since the question stated that all the sides are equal. (AB=BC=CD)
It also stated that the diagnonals are equal. (AC=BD=AD)
I wish I could draw to explain this easily
A square has four right angles.
A right angle is a 90⁰ angle.
The diagonals divide each 90⁰ angle by 2
I hope you know what a diagonal is.
It is a line from a corner of the square to the opposite corner. This cuts the square into two equal sides.
After drawing the first diagonal two triangles of equal size will be seen.
After drawing the second diagonal the two triangles that appeared will each be cut into halves.
Now, you'll have four equal triangles.
think of it as a square pizza cut into four slices...
Uh huh , now you understand
pls help
Find the area of the shape.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.
Find the solution set of the inequality.
10c + 5 ≤ 45
Katalin drove 300 miles on her vacation. She drove an average of 1.9 times faster on the second 150 miles of her trip than she did on the first 150 miles of her trip. Which expression represents the time she spent driving? Let x = her speed on the first half of the trip. Can someone explain how to get the answer? I am very confused
HELP PLEASE!!! I NEED ITTTTT!!!!!
I NEED HELP ASAP
Create an equivalent expression for [tex]1.3^{3}[/tex] over [tex]1.2^{2}[/tex] raised to the fourth power all raised to the power of negative six.
1.2 raised to the twenty-fourth power over 1.3 to the eighteenth power
1.2 squared over 1.3 cubed
1.3 to the eighteenth power over 1.2 to the twenty-fourth power
1.3 cubed over 1.2 squared
The equivalent expression for [tex][(1.3)^{3} /{(1.2)^{2}}^{4} ]^{-6}[/tex]is [tex][(1.2)^{2}] ^{24}/(1.3)^{18}[/tex].
Given an expression [tex][(1.3)^{3} /{(1.2)^{2}}^{4} ]^{-6}[/tex].
We are required to find the equivalent expression of the given expression.
Expression is combination of numbers, fraction,symbols, coefficients, determinants, indeterminants or algebraic operations. It shows some relationship also. It is found without equal to form.
Expression is [tex][(1.3)^{3} /{(1.2)^{2}}^{4} ]^{-6}[/tex]
It is in fraction as we know that fraction is combination of two numbers one is numerator and denominator.
First we need to multiply the powers present in numerator and denominator.
=[tex](1.3)^{-18} /[{(1.2)^{2}}^{-24} ][/tex]
We have to invert the numerator and denominator because the powers in negative.
=[tex][(1.2)^{2}]^{24} /(1.3)^{18}[/tex]
Hence the equivalent expression for [tex][(1.3)^{3} /{(1.2)^{2}}^{4} ]^{-6}[/tex]is [tex][(1.2)^{2}] ^{24}/(1.3)^{18}[/tex].
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The radius of a circle is 9 cm. Find the circumference of the circle.
(A) 56.52 cm
(B) 28.26 cm
(C) 21.14
(D) 14.13 cm
QUESTION #2
Find the circumference of a circle that has a diameter of 5 in.
(A) 31 in
(B) 15 in
(C) 15 in
(D) 1 in
First question: A
Second Question: A
The equation of the circumference of a circle is 2pi radius you multiply the radius by 2 and then multiply it by pi.
Hope this helps :) ....
Solve for b in the following equation. x/6 - 2 = 4 b = 24 b = 12 b = 1 b = 36
Answer:
-6
Step-by-step explanation:
your equation isnt in slope interecept form
y=mx+b
4=x/6-2 is what is see
so i would assume b is -6
Solve for x.
Your answer must be simplified.
x+5≤−4
Answer:
x ≤ -9
Step-by-step explanation:
to solve this equation you must subtract 5 from both sides
you get
x ≤ -9
that is your answer