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kati45 [8]
3 years ago
14

In the figures below, the cube-shaped box is 6 inches wide and the rectangular box is 10 inches long, 4 inches wide, and 4 inche

s high. How much greater is the volume of the cube-shaped box than the rectangular box? A. 66 cubic inches B. 60 cubic inches C. 56 cubic inches D. 50 cubic inches
Mathematics
1 answer:
olganol [36]3 years ago
7 0
The cube-shaped box has a volume of 216 cubic inches. The rectangular box has a volume of 160 cubic inches. Therefore, the answer is C) 56 cubic inches.
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I need help with these two problems. [9 and 10] FORMULAS GIVEN!!
zaharov [31]
<h2>Question 9:</h2>

1. Use Pythagorean Theorem (a²+b²=c²) to solve for missing side of triangle and rectangle. x²+16²=20², or x²+256=400. So, x²=144, and x=12

2. Use formula: 1/2(h)(b1+b2). 1/2 (12) (30+14).

3. Simplify: 1/2 (12) (44)=1/2(528)=264

Area of whole figure is 264 square mm.

<h2>Question 10:</h2>

Literally same thing but with trigonometry.

1. Use sine to find out length of dotted line: sin(60°)=x/12

2: Simplify: 12*sin(60°)=x. x≈10.4 (rounded to the nearest tenth)

3. Use Pythagorean Theorem to find out last leg of triangle: 10.4²+x²=12²

4: Simplify: 108.16 +x²=144. x²=35.84 ≈ 6

5: Use formula: 1/2(h)(b1+b2). 1/2 (10.4) (30+36)

6: Simplify: 1/2 (10.4) (66) =343.2

7: Area of figure is about 343.2

Remember, this is an approximate answer with rounding, so it might not be what your teacher wants. The best thing to do is do it yourself again.

4 0
3 years ago
Write each expression below in radical form and compute the value without using a calculator.
gregori [183]

Assuming that an exponentiation sign is missing, all you need to know is that rational exponents work like this:

a^{\frac{b}{c}}=\sqrt[c]{a^b}

So, you have

25^{\frac{5}{2}}=\sqrt{25^5}=\sqrt{(5^2)^5}=5^5

And similarly,

81^{\frac{7}{4}}=\sqrt[4]{25^7}=\sqrt[4]{(3^4)^7}=3^7

5 0
2 years ago
The quotient of 4 divided by a number <br><br> I need to write it in words.
icang [17]
Jjshwhw idjdhdb sjsixich
7 0
3 years ago
8x+c =5d solve for x
cricket20 [7]
8x + c = 5d

First move c by subtraction it.
8x = 5d - C

Then move the 8 by dividing it.
x = 5/8d - C
4 0
3 years ago
1. A number is 6 more than the average of, its half, its one-third and its one sixth
stira [4]

Answer:

let no.be x

its half= x/2

its one third= x/3

its one sixth=x/6

atq.....avg of x= x/2+x/3+x/6//3=6x/6//3=x/3

now...x/3+6=x...as the no.is 6 more than its avg

x= 9

7 0
3 years ago
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