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Travka [436]
3 years ago
10

The flower box is 5 ft​ long, and its ends are in the shape of a trapezoid. The upper and lower bases of the trapezoid measure 1

8 in. and 10​ in., respectively, and the height is 9 in. Find the volume of the flower box.

Mathematics
1 answer:
Nady [450]3 years ago
6 0

Answer:

7560 in^3

Step-by-step explanation:

Hello! The first thing that we must take into account to solve this problem is that the volume of any solid is equal to the transverse area by the height, in this case we must find the area of ​​the trapezoid and then multiply it by the height

V=AL

V= Volume

A=area

L=height=9in

finding area of trapezoid

A=H\frac{a+b}{2} \\

To know what each variable corresponds to, please see the attached file

A=(60)\frac{10+18}{2}=840in^2

finally multiply the area by the height of the box(9in)

V=AL

V=(840in^2)(9in)=7560in^3

the volume of the flower box is 7560 in^3

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3 years ago
So i'm really confused how do you get 3 5/12 in this question? Manson bought 8 1/4 feet of wire. He cut off a piece of wire 3 5/
GaryK [48]

Answer:

r = π C , C = 12 − x , t h e n r = π ( 12 − x ) = 12 π − π x

Step-by-step explanation:

So cutting the wire of 12 m in length into two pieces, x and 12-x. The x side will be made into the square so that the square has sides x/4 and an area of (x/4)^2. This means the length of the wire 12-x will be the circumference of the circle. So if: r = π C , C = 12 − x , t h e n r = π ( 12 − x ) = 12 π − π x i hope this is correct

7 0
3 years ago
There is 12/15 of a pizza left. How many 3/10 pieces can be made from the leftover pizza? Show work please!
Katyanochek1 [597]

How many 1/3 pieces can be made from 2 pizzas, we know it is 6 and it is arrived by dividing 2 by 1/3 or multiplying by its reciprocal 3/1.

Hence to find how many 3/10 pieces can be made from 12/15 pizza, we have to divide 12/15 by 3/10 or multiplying by its reciprocal 10/3, i.e.

12/15 times 10/3= 8/3 or 2  2/3 

What does that mean? This means that while 2 three-tenths pieces can be made, 2/3of 3/10 i.e. <span>2/3×3/10=2/10=1/5</span> or one-fifth of pizza will be left out.

So the answer is 2 three-tenths pieces can be made, and one-fifth pizza will be left out.

5 0
3 years ago
Find the composite function (please help)
anastassius [24]

Answer:

(f o h)(x) = -10x + 32

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

<u>Algebra I</u>

  • Composite Functions

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 2x³ + 8

h(x) = ∛(12 - 5x)

(f o h)(x) is f(h(x))

<u>Step 2: Find Composite Function</u>

  1. Substitute:                         (f o h)(x) = 2(∛(12 - 5x))³ + 8
  2. Evaluate:                            (f o h)(x) = 2(12 - 5x) + 8
  3. Distribute 2:                       (f o h)(x) = 24 - 10x + 8
  4. Combine like terms:         (f o h)(x) = -10x + 32

And we have our final answer!

8 0
2 years ago
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