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Mariulka [41]
2 years ago
8

A storage shed is the shape of a rectangular prism with a width of 9 feet, a length of 6 feet, and a height of 8 feet. What is t

he volume of the storage shed? 432 ft3 216 ft3 74 ft3 54 ft3
Mathematics
2 answers:
ruslelena [56]2 years ago
5 0
Hey!

Let's see here. So this is a rectangular prism and the way to find the volume is the length x width x height!

so the length is 6 the width is 9 and the height is 8

6*9*8 is 432 

So your answer is 432 ft^3

Hope this helps!
olga_2 [115]2 years ago
5 0
Hello!

To find the volume of a rectangular prism, you multiply: l · w · h

l = 6
w = 9
h = 8

You have to multiply the 3 numbers together

6 × 9 × 8 = 432

Volume ⇒ 432 ft³

Hope this helps! :)
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The angles in a triangle are in the ratio 1:2:3. Show that this triangle is a right-angled triangle. The hypotenuse of the trian
natita [175]

Answer:

see explanation

Step-by-step explanation:

(a)

Sum the parts of the ratio , 1 + 2 + 3 = 6 parts

Divide sum of angles in a triangle by 6 to find the value of one part of the ratio.

180° ÷ 6 = 30° ← value of 1 part of the ratio

2 parts = 2 × 30° = 60°

3 parts = 3 × 30° = 90°

Since there is an angle of 90° then the triangle is right.

(b)

The shortest side is the side opposite the smallest angle of 30°

Using the sine ratio and the exact value

sin30° = \frac{1}{2} , then

sin30° = \frac{opp}{hyp} = \frac{opp}{19} = \frac{1}{2} ( cross- multiply )

2 opp = 19 ( divide both sides by 2 )

opp = 9,5

Shortest side in the triangle is 9.5 cm

6 0
3 years ago
Trig questions:
navik [9.2K]
Question 1
Because the period is 2π, and the amplitude is 1obtain
f(x) = sin(x)
Because the horizontal shift is π, obtain
f(x) = sin(x - π)
Because the vertical shift is -4, obtain
f(x) = sin(x - π) - 4

Answer: 1. f(x) = sin(x - π) - 4

Question 2
The radius is 36/2 = 18 in.
1 revolution (360°) is the circumference, which is
2π(18) = 36π in
When the revolution is 62°, the distance traveled is
(62/360)*(36π) = (31/5)π in

Answer: 3. (31π)/5

Question 3.
Consider f(x) = 3cos(2x-π) - 1
f(0) = 3cos(-π) - 1 = -4
f(π/2) = 3cos(0) - 1 = 2
Rate of change = (2+4)/(π/2) = 12/π

From the graph, the rate of change of g(x)  is
3/(π/2) = 6/π

Consider h(x) = sin(x) - 4
h(0) = 0 - 4 = -4
h(π/2) = 1 - 4 = -3
Rate of change = (-3+4)/(π/2) = 2/π
Therefore h(x) has the smallest rate of change

Answer: h(x)

8 0
3 years ago
Honestly I dont know how to do this just please help me
V125BC [204]
F(x) = 3x - 2
f(8) = 3(8) - 2
f(8) = 24 - 2
f(8) = 22
f(-5) = 3(-5) - 2
f(-5) = -15 - 2
f(-5) = -17
f(8) - f(-5) = 22 - (-17)
f(8) - f(-5) = 39
Hope this helped! Good luck! :)
7 0
3 years ago
1/3(9x+16+2) + 2x What is X
Flauer [41]
This is the answer if your question

3 0
3 years ago
Solve number 8 please
beks73 [17]

Answer:

see explanation

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k )² = r²

where (h, k ) are the coordinates of the centre and r is the radius

given

x² + y² - 8x + 8y + 23 = 0

collect the x and y terms together and subtract 23 from both sides

x² - 8x + y² + 8y = - 23

using the method of completing the square

add ( half the coefficient of the x / y terms )² to both sides

x² + 2(- 4)x + 16 + y² + 2(4)y + 16 = - 23 + 16 + 16

(x - 4)² + (y + 4)² = 9 ← in standard form

with centre = (4, - 4 ) and r = \sqrt{9} = 3

this is shown in graph b

7 0
1 year ago
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