The perimeter can be found by using the formula: P = 2w + 2h
w = width
h = height
P = perimeter
We are given the perimeter of 108 inches.
We are given the width of 18 inches.
Substitute in the formula.
108 = 2(18) + 2h
108 = 36 + 2h
Solve for h.
108 = 36 + 2h
108 - 36 = 36 - 36 + 2h
72 = 2h
72/2 = 2h/2
36 = h
Therefore, the length of the missing side is 36 inches.
Best of Luck!
The instructions weren’t very clear to me and there was an example :/ please help and thank you!
Answer & Step-by-step explanation:
You are supposed to write the equation you would use to solve for x.
The triangle is a right triangle, classified by it's 90° angle, or right angle. This means that you can use the Pythagorean theorem:
[tex]a^2+b^2=c^2[/tex]
(a) and (b) are the legs and (c) is the hypotenuse. The hypotenuse is always the longest side and opposite the 90° angle. Insert the given values into the formula:
[tex]4^2+7^2=x^2[/tex]
Enter this equation into the boxes, and done.
Kayla has a red number cube and a blue number cube. Each number cube has faces labeled 1 through 6.
What is the probability Kayla rolls an even number on the red cube and a multiple of 3 on the blue cube?
ΟΑ.
16%
B. 25%
O c 33%
D. 50%
E. 83%
The probability Kalya rolls an even number on the red cube and a multiple of [tex]3[/tex] on the blue cube is [tex]16%[/tex] percent, when both the cubes have faces labeled [tex]1[/tex] through [tex]6[/tex].
ProbabilityThe ratio of the favourable number of outcomes to the total number of outcomes is known as Probablity.
How to find the probability?First, find the possible outcomes.
Kalya has a red number cube and a blue number cube. Each number cube has faces labeled [tex]1[/tex] through [tex]6[/tex].
So, possible outcomes [tex]=(6[/tex]×[tex]6)=36[/tex]
Let, [tex]S[/tex] be the sample space.
Then, [tex]n(S)=36[/tex]
Let, [tex]E=[/tex]the event of getting an even number on the red cube and a multiple of [tex]3[/tex] on the blue cube.
[tex]E=(2,3),(2,6),(4,3),(4,6),(6,3),(6,6)[/tex]
Then, [tex]n(E)=6[/tex]
Let, [tex]P[/tex] is the probability of the event [tex]E[/tex].
So, [tex]P(E)=\frac{n(E)}{n(S)}=\frac{6}{36}=\frac{1}{6}[/tex]≈[tex]16[/tex] percent
Thus, the probability Kalya rolls an even number on the red cube and a multiple of [tex]3[/tex] on the blue cube is [tex]16[/tex] percent.
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Answer:
Α. 16%
Step-by-step explanation:
What is the range of f(x) = 4^x?
A. All positive real numbers
B. All real numbers greater than 4
c. All real numbers
D. All real numbers greater than or equal to 4
Answer: A because it goes from (0,infinity) so all positive real numbers
Find the upper bound for the following lengths:
a) 60 cm measured to the nearest cm.
b) 96.3 cm measured to the nearest tenth of a cm.
Answer:
60cm=60.5cm
96.3cm=96.35cm
The upper bound lengths are 60.4 cm and 96.34 cm for the given lengths of 60 cm and 96.3 cm.
What are the upper and lower bounds of an approximation?The upper bound for the given value is the numerical value that is rounded for the next value of the given value.
the Lower bound for the given value is the numerical value that is rounded for the previous value or the estimated value of the given value.
Approximation of the given lengths:a) 60 cm - this is rounded off for the values,
Lower bound - 59.5 cm and Upper bound - 60.4 cm
b) 96.3 cm - this is rounded off for the values,
Lower bound - 96.25 cm and Upper bound - 96.34 cm (rounded to the nearest tenth)
So,
The upper bounds for the given lengths are 60.4 cm and 96.34 cm.
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john wants to build a slide for his daughter's tree house. the slide is made from aluminum material that is cut from a roll. The aluminum materials is sold by the foot. The tree house is 6 feet off the ground and he wants the slide to be built at a 60 angle . triangle PQR is a right triangle.
Will reward brainliest please show all work
Answer:7 ft
Step-by-step explanation:
Given
Height of tree house is [tex]6\ ft[/tex]
inclination of slide [tex]\theta =60^{\circ}[/tex]
In [tex]\triangle PQR[/tex] we can write
[tex]\sin \theta =\frac{PQ}{PR}[/tex]
[tex]\sin 60=\frac{6}{PR}[/tex]
[tex]PR=\frac{6}{\sin 60^{\circ}}[/tex]
[tex]PR=\frac{6\times 2}{\sqrt{3}}[/tex]
[tex]PR=6.928\approx 7\ ft[/tex]
So, [tex]7 \ft[/tex] of aluminium is required for slide
Answer this maths challenge question to earn 20... points!! :0
Answer:
first x would be 1 second would 4. And the first y would be 3 and the second one would be 4
Step-by-step explanation:
Hey guys I really need help with this one exercise soo maybe can someone plzz help for 20 points? Write also the whole detail of your answer plz!
Math Problem: A photograph is reduced to 75% of its original size. The photo was originally 12 inches by 16 inches. What are the new dimensions after it has been reduced 75%?
Answer:
3 by 4
Step-by-step explanation:
12 reduced by 75% is 3
16 reduced by 75% is 4
Answer:
100%-75% is equal to 25%
So 12 times 25% is 3
And 16*25% is 4
The new dimensions are 3 by 4
Step-by-step explanation:
Solve each equation in the interval from 0 to 2pi. Round your answer to the nearest hundredth.
a. 3cos 4theta= -2
b. cos(pi theta)= -0.6
I think the answer is b. cos(pi theta)= -0.6
The requried solution of the equations in the interval form are a. (-0.575, 0.575) and b. (0.71, 3.43).
What are trigonometric equations?These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.
a.
We can solve for theta by dividing both sides by 3, then taking the inverse cosine of both sides. Remember that there will be two solutions in the given interval because cosine has a period of 2π.
3cos(4Ф) = -2
cos(4Ф) = -2/3
4Ф = ±cos⁻¹(-2/3)
cos⁻¹(-2/3) ≈ 2.300
4Ф = ±2.300
Ф = ±0.575
Similarly,
b.
For cos(πФ)= -0.6
Ф= 0.71, 3.43
Thus, the requried solution of the equations in the interval form are a. (-0.575, 0.575) and b. (0.71, 3.43).
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What is the image point if (8,4) after a translation left 2 units and down 4 units
Answer:
(6,0) I think
my memory is rusty on this subject sorry if it's wrong.
The image point of (8, 4) is (6, 2).
What is translation?A translation is a geometric change in Euclidean geometry that involves moving each point in a figure, shape, or space by the same amount in one direction. A translation may alternatively be thought of as moving the origin of the coordinate system or as adding a constant vector to each point.
Given:
The point (8, 4).
To find the image point:
The translation rule:
The image point of (8, 4),
= (8 - 2, 4 - 2)
= (6, 2)
Therefore, the image point is (6, 2).
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Find the value of x?
23.5°
43°
47°
86°
Answer:
x = 23.5°
Step-by-step explanation:
The 4 angles 90, 43, x , x lie on a straight angle, thus
90 + 43 + x + x = 180, that is
133 + 2x = 180 ( subtract 133 from both sides )
2x = 47 ( divide both sides by 2 )
x = 23.5°
What is the answer to this?
Answer:
I think it's 945 but i'm not sure. actually i'm probably wrong, sorry
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
960/15=64
Square root of 64 is 8
2. Find the lateral area and surface area of the
prism.
4 cm
5 cm
4 cm
3 cm
Answer:
Lateral = 48 cm squared and Surface area = 60 cm squared
Step-by-step explanation:
Lateral surface area = 4 x 4 + 5x4( Slope) + 4 x 3 (Cross section x2) = 48
Surface area: Lateral + 4x3(base)
Multiply (x+6)(x+7). What is the product?
Answer:
x^2 +13x+42
Step-by-step explanation:
(x+6)(x+7)
FOIL
first: x*x = x^2
outer: 7x
inner:6x
Last: 6*7 =42
Add them together
x^2+7x+6x +42
Combine terms
x^2 +13x+42
Answer:
X^2 + 13x + 42
Step-by-step explanation:
(X+6)(x+7)
x^2 + 7x + 6x + 42
X^2 + 13x + 42
There are 6 cherry ice pops, 10 grape ice pops, and 8 lime ice pops in a box. If one ice pop is randomly taken from the box, what is the probability that the ice pop will be lime?
Answer:
20%
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
6+8+10=24
8/24 which is 1/3
The stem-and-leaf plot shows the number of confirmed cases of a virus in 15 countries.
stem leaf
4 1 1 3 3 5
5 0 2 3 4
6 2 3 3 7
7 5
8
9 7
Find the mean, median, rage, and interquartile rage of the data. Round your answer to the nearest tenth, if necessary.
The mean is
The median is
The range is
Answer: the mean is 4 the meadian is 2.5 and 6.5
and the range is 9
Step-by-step explanation: i may not be right since i havent done this kinda work in a long time but im pretty sure this is right. cause i graphed it out and the mean is the middle while the median is like the 2/4 and the range is the highest - the lowest number
Two lines meet at a point that is also the endpoint of a ray. Set up and solve an equation to find the value of w.
Answer:
w=35
Step-by-step explanation:
See the angle to the right of 125? Put those angles together, and you get 180 degrees. For starters, we want to find the measure of the angle to the right of 125.
180-125=55
We can basically do this all over again to find w. The angle 55 + w + the square angle is 180 degrees. You can tell by the flat line. So we will find w like this:
180-90-55=w
Thus, w equals 35
f(x) = x^2. What is g(x)?
Answer:
g(x)=x²/4
Step-by-step explanation:
g(x)=ax²+bx+c
g(0)=0 => c=0
g(-2)=1 => 4a-2b=1;
g(2)=1 => 4a+2b=1 (+)
8a=2 => a=1/4
4*1/4+2b=1=> b=0
=> g(x)=x²/4
A man has a salary of 1200 and saves 18% of it. How much did he save
PLLZZZ QUICKLY!,!!
Answer:
216
Step-by-step explanation:
Savings = amount times percent saved
savings = 1200 * 18%
Change to decimal form
savings = 1200*.18
savings =216
A clerk earns $12 an hour. How much does the clerk earn for p hours of work?
Answer:
You can't do this without knowing the number of hours, but you can write an equation. The equation would be 12p. P means the number of hours they worked and 12 stands for how much they earn each hour. Therefore you would multiple both of them together.
Find the value of the power.
(3/4) to the power of 4
Answer:
81/256
Step-by-step explanation:
3^4 = 81
4^4 = 256
put them as a fraction and u get 81/256
Answer:
25
Step-by-step explanation:
HURRY!! will mark brainliest and 15pts!! The volume of the composite figure is BLANK cubic centimeters ???HURRY!!
Answer:
This is how you find the comosite figure
Separate the figure in simpler forms, which can be discovered in a composite figure field. Then merge the fields. Keep in mind that none of the simple figures have overlaps. Example 1: Find the area shown below for the composite form
Step-by-step explanation:
If you still need help, i will give you the answer.
Hope that helps.
Answer:
48
Step-by-step explanation:
What is the surface area
Answer:
579.29
Step-by-step explanation:
Answer:
1512m2
I think this is the answer please do not report if wrong.
2:21:27 PM what is this in non military time
Answer:9.27 pm
Step-by-step explanation:
Answer:
09:27 PM
Step-by-step explanation:
when using 12-hour clock notation then 21:27 PM would be 09:27 PM
hope this helped!
Round 425 to the nearest ten and to nearest hundred
430; 400
420; 500
430; 500
420; 400
Answer:
430;400
Step-by-step explanation:
So tenth is the 2.. 5 makes it go to 3 430
hundred we look to change 4 so we look at tenths 2 is less than 5 so it stays the same 400
Find the constant of proportionality k. Then write an equation for the
relationship between x and y.
X | 2 | 4 | 6 | 8 |
_______________
Y | 10 | 20 | 30 | 40 | I tried to make the table
Answer: k = _, y =
Answer:
see explanation
Step-by-step explanation:
Given x and y are in proportion then the equation relating them is
y = kx ← k is the constant of proportion
To find k use an ordered pair from the table
Using (2, 10 ), then
10 = 2k ( divide both sides by 2 )
5 = k , thus
y = 5x ← relationship between x and y
What is the rectangular equivalence to the parametric equations?
x(θ)=3cosθ+2
y(θ)=2sinθ−1 ,
where 0≤θ<2π .
Answer:
For x(θ) = 3cosθ + 2
y² = [9x²/(x - 2)²] - x²
For x(θ) = 3cosθ + 2
x² = [4y²/(y - 1)²] - y²
Step-by-step explanation:
Given the following equivalence:
x² + y² = r²
r = √(x² + y²)
x = rcosθ
cosθ = x/r
y = rsinθ
sinθ = y/r
Applying these to the given equations,
x(θ) = 3cosθ + 2
x = 3(x/r) + 2
xr = 3x + 2r
(x - 2)r = 3x
r = 3x/(x - 2)
Square both sides
r² = 9x²/(x - 2)²
(x - 2)²r² = 9x²
(x - 2)²(x² + y²) = 9x²
(x² + y²) = 9x²/(x - 2)²
y² = [9x²/(x - 2)²] - x²
y(θ) = 2sinθ - 1
y = 2y/r - 1
yr = 2y - r
(y - 1)r = 2y
r = 2y/(y - 1)
Square both sides
r² = 4y²/(y - 1)²
x² + y² = 4y²/(y - 1)²
x² = [4y²/(y - 1)²] - y²
Two friends share 1/6 of a large peach pie. What fraction of the whole pie does each friend get? Let n represent the fraction of the whole pie each friend gets.
Enter an equation as a multiplication equation.
The equation is n=?
Each friend gets ? of a whole pie.
Answer:
n= 1/12
Step-by-step explanation:
1/6 ÷ 2
1/6×1/2=1/12
Two friends are sharing 1/6 of a pie. That's why it is 1/6 divided by 2. In fractions when you switch from division to multiplication, you switch the denominator and numerator, so 2/1 becomes 1/2. Then, you multiply 1/6 and 1/2. You end up with 1/12, so n= 1/12.
Each friend gets 1/12 of the pie.
hellppppppp memeemme
Answer:
2-packs of candy bars for 0.38 is better to buy
Step-by-step explanation:
Answer:
the first one, 2-packs of candy bars for 0.38 is better to buy
Step-by-step explanation:
The first one is 0.19$ per thing
The second one is 0.50$ per thing
Bibbidi-Bobbidi-Boo
(∩ º ෴ º )⊃━☆゚.*
Who chose me as most brainly.. wait, thats you!!
Hamsters, i tried to times it by 2 but its 10 and the answers are not close, i think ive done something wrong, maybe i times it 3 times? 15? or do i just choose 5?
Answer:
WHAAAAAAAAAAAAAAAAAAAAAAAAAAAAAT
Step-by-step explanation:
Andrea built a circular barbecue pit with a circumference
of 9 feet. She wants a rod to go across the pit to use for a
rotisserie. The rod must go from one edge of the pit to
the other, passing through its center. To the nearest foot,
how long must the rod be?
Answer:
if the circumference is 9 is a simple process if of dividing the circumference by pi which turns out to be roughly 2.86