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2 years ago

Exercise #1: A rectangular, right prism (or box) has a length of 8 inches, a width of 4 inches, and a height of 5

Mathematics

1 answer:

kipiarov [429]2 years ago

6 0

Step-by-step explanation:

(a) What is the area of the base of the box? Use appropriate units.

A=lw

A=8(4)

A=32 inches

(b) What is the volume of the box? Use appropriate units. How can

you use your answer to part (a) to determine the volume?

V=lwh

V=8(4)(5)

V=160 inches

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Solve for the value of x.<br> ABC<br> 20<br> 28<br> 9x-8

Marizza181 [45]

28+20+9x-8=180

48+9x-8=180

9x=180-40

9x=140

×=15.56

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2 years ago

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ki77a [65]

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1 year ago

The blades of a windmill turn on an axis that is 35 feet above the ground. The blades are 10 feet long and complete two rotation

Alona [7]

Answer:

h = 10sin(π15t)+35

Step-by-step explanation:

The height of the blade as a function f time can be written in the following way:

h = Asin(xt) + B, where:

B represets the initial height of the blade above the ground.

A represents the amplitud of length of the blade.

x represents the period.

The initial height is 35 ft, therefore, B = 35ft.

The amplotud of lenth of the blade is 10ft, therefore A = 10.

The period is two rotations every minute, therefore the period should be 60/4 = 15. Then x = 15π

Finally the equation that can be used to model h is:

h = 10sin(π15t)+35

5 0

2 years ago

Read 2 more answers

If F(x) = log 4 3x, find F -1(x).

jenyasd209 [6]

Answer:

h(-4) = -4

Step-by-step explanation:

Since x is given (x = -4). Then, all you need to do is log in -4 for each value of x

h(-4) =

−

(

−

)

-3(-4)

h(-4) = -(16) + 12 = -4

4 0

2 years ago

Need help with this ignore what a put in the box it isn’t right

Zarrin [17]

$f=6cm\\g=8cm$

Why?

The first thing we need to do is find the area of the triangle, we can to that by subtracting the area of ABCD from ACBE, then, we can use the formulas to calculate the area for both triangle and rectangle to find "f" and "g".

Calculating we have:

$TriangleArea=ABCE-ABCD\\\\TriangleArea=60cm^{2}-48cm^{2}=12cm^{2}$

Now, we can calculate "f" by using the formula to calculate the area of the triangle:

$TriangleArea=\frac{b*h}{2}\\\\TriangleArea=\frac{f*4cm}{2}\\\\12cm^{2}*2=f*4cm\\\\\frac{24cm^{2}}{4cm}=f\\\\f=6cm$

Now, finding "g" by using the formula to calculate the area of the rectangle, we have:

$RectangleArea=ABCD\\\\ABCD=Base*Height\\\\48cm^{2}=base*6cm\\\\base=g=\frac{48cm^{2}}{6cm}=8cm$

Hence, we have that:

$f=6cm\\g=8cm$

Have a nice day!

8 0

2 years ago