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gogolik [260]
3 years ago
14

Math grade 8 Problem 8 show work

Mathematics
1 answer:
Montano1993 [528]3 years ago
4 0

Check the picture below.

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Helen has 48 cubic inches of clay to make a solid square right pyramid with a base edge measuring 6 inches. Which is the slant h
Nikitich [7]

Answer: 5 inches


Step-by-step explanation:

Given: Volume of clay = 48 cubic inches

If we make a solid square right pyramid with a base edge a= 6 inches.

Then its base area = a^2=6^2=36\ inches^2

we know that volume of square right pyramid=\frac{1}{3}\times\ a^2h

Therefore, volume of square right pyramid made by all of clay=\frac{1}{3}\times\ a^2h=48 cubic inches

\Rightarrow\frac{1}{3}\times\ (36)\times\ h=48\\\Rightarrow12h=48\\\Rightarrow\ h=4\ inches.....\text{[Divide 12 on both sides]}

Now, slant height l=\sqrt{(\frac{a}{2})^2+h^2}

\\\Rightarrow\ l=\sqrt{3^2+4^2}\\\Rightarrow\ l=\sqrt{9+16}\\\rightarrow\ l=\sqrt{25}\\\Rightarrow\ l=5

The slant height of the pyramid if Helen uses all the clay=5 inches

5 0
3 years ago
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If f(x)=2x^3+5√(x-2) complete the following statement, f(6)=
solong [7]

Answer: 442

Step-by-step explanation:

f(x)=2x^3+5\sqrt{(x-2)}

f(6)

Simply replace all the x's in the equation for 6

f(6)=2(6)^3+5\sqrt{(6-2)}\\ f(6)=2(216)+5\sqrt{4}\\ f(6)=432+5*2\\f(6)=432+10\\f(6)=442

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3 years ago
Why isnt y = 3x+5 proportional?
Lisa [10]

Answer: The equation not represent a proportional relationship because the line don't passes through the origin

 

Step-by-step explanation:

7 0
2 years ago
Hii darling pls help !!<3
saul85 [17]

Answer:

Hello! answer: y = 76

Because there vertical angles they Will have the same measure therefore y = 76 Hope that helps!

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3 years ago
[JMC 2011Q7] Peter Piper picked a peck of pickled peppers. 1 peck= 1/4 bushel and 1 bushel= 1/9 barrel.
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angazii ukuthii ngingaku siza kanjanii lahh

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