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Scorpion4ik [409]
4 years ago
13

A pyramid has a height of 5 in. And a surface area of 90in squared. Find the surface area of a similar pyramid with a height of

10in. Round to the nearest tenth if necessary.
a) 360 in squared
b) 180 in squared
c) 22.5 in squared
d) 3.6 in squared
Mathematics
1 answer:
belka [17]4 years ago
7 0
C) 22.5 in squared is the answer
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Solve | x + 6| - 7 = 8
Alex

Answer:

x = 9,-21

Step-by-step explanation:

Given:

\displaystyle \large{|x+6|-7=8}

Transport -7 to add 8:

\displaystyle \large{|x+6|=8+7}\\\displaystyle \large{|x+6|=15}

Cancel absolute sign and add plus-minus to 15:

\displaystyle \large{x+6=\pm 15}

Transport 6 to subtract ±15:

\displaystyle \large{x=\pm 15-6}

Consider:

\displaystyle \large{x= 15-6} or \displaystyle \large{x = -15-6}

\displaystyle \large{x=9} or \displaystyle \large{x=-21}

Solution:

\displaystyle \large{x = 9} or \displaystyle \large{x=-21}

__________________________________________________________

Second Method

Given:

\displaystyle \large{|x+6|-7=8}

Transport -7 to add 8:

\displaystyle \large{|x+6|=8+7}\\\displaystyle \large{|x+6|=15}

Absolute Function Property:

\displaystyle \large{|x-a| = \begin{cases} x-a \ \ (x \geq a) \\ -x+a \ \ (x < a) \end{cases}}

Consider both intervals:

When x ≥ a then:

\displaystyle \large{|x+6|=15}\\\displaystyle \large{x+6=15}

Transport 6 to subtract 15:

\displaystyle \large{x=15-6}\\\displaystyle \large{x=9}

When x < a then:

\displaystyle \large{|x+6|=15}\\\displaystyle \large{-(x+6)=15}\\\displaystyle \large{-x-6=15}

Transport -6 to add 15:

\displaystyle \large{-x=15+6}\\\displaystyle \large{-x=21}

Transport negative sign to 21:

\displaystyle \large{x=-21}

Solution:

\displaystyle \large{x=9} or \displaystyle \large{x=-21}

__________________________________________________________

Let me know if you have any questions regarding this question, my answer or explanation. Hope this answer and explanation helps you and good luck with your assignment!

3 0
2 years ago
I need help solving this word problem
natima [27]

Answer:


Step-by-step explanation:


4 0
4 years ago
What's a polyhedron i forgot.
omeli [17]
A 3-D figure that has more than six planes most of the time, respectively.

I hope this helps! <3
7 0
3 years ago
Read 2 more answers
If x to the power of 2=10, what is the value of x?
Snezhnost [94]

About 3??

Hope it is somehow helpful

x^2=10

Something times itself is ten, so i think it is a decimal 3 like 3.(???) i am not sure what exactly the number is but it is about 3

you should do the quare root of 10 and see what you get ;-; sorry if my answer sucks

7 0
3 years ago
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Gary's car travel 30 miles on 1 1/5 gallon of gas. Gary wants to travel 90 miles. How many gallons of gas will his car use?
3241004551 [841]
Gary car will use 18 miles/gallons
7 0
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