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3 years ago

6

A stainless steel patio heater is a square pyramid. The length of one side of the base is 22.4 in. The slant height of the pyram

id is 93.7 in. What is the height of the pyramid?

1 answer:

mrs_skeptik [129]3 years ago

8 0

Answer:

93.03 in

Step-by-step explanation:

Height of square pyramid: √slant height² - (1/2 base side length)²

SH = √93.7² - 11.2² = 93.03

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Evaluate this exponential expression (27/8)^ 4/3<br><br> A: 9/2<br> B: 4/3<br> C: 81/16

valkas [14]

$\bf ~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \left( \cfrac{27}{8} \right)^{\frac{4}{3}}\implies \left( \cfrac{3^3}{2^3} \right)^{\frac{4}{3}}\implies \left( \cfrac{3^{3\cdot \frac{4}{3}}}{2^{3\cdot \frac{4}{3}}} \right)\implies \cfrac{3^4}{2^4}\implies \cfrac{81}{16}$

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3 years ago

If I had 22 apples and someone stole 5. How many would that person have?

Sunny_sXe [5.5K]

That person, the someone, would have the 5 that they stole

hope this helps ;)

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3 years ago

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Ana drew a map of the Panama Canal. In the scale Ana used for the map, 4 centimeters represents 20 kilometers. The actual length

yawa3891 [41]

Answer:

Length of the canal on the map is 16.4 centimeters.

Step-by-step explanation:

If actual length of Panama Canal = 20 kilometers

and length of the canal on map = 4 centimeters

Then scale factor = $\frac{\text{Length of canal on map}}{\text{Actual length of canal}}$

= $\frac{4}{20}$

= $\frac{1}{5}$

If the actual length of Panama Canal = 82 kilometers

Then the length of canal on the map = Actual length × Scale factor

= $82\times \frac{1}{5}$

= 16.4 centimeters

Therefore, length of the canal on the map is 16.4 centimeters.

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3 years ago

Which values represent solutions to the equation?

AleksAgata [21]

Answer:

B

Step-by-step explanation:

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3 years ago

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A bowl contains and strawberries and blueberries. There are a total of 48 berries in the bowl. The ratio of blueberries to straw

olga2289 [7]

Answer:

There are 36 blueberries and 12 Strawberries! I hope this helps you out. :)

Step-by-step explanation:

Hi, so I have a really easy way for you to do this and understand! :)

Basically, you can just add the two numbers in the ratio together and divide that from the bigger total. For example, 9+3=12 and 48/12 is 4. Then you can just multiply each beginning ratio by four and you have your answer: 9*4=36 and 3*4 equals 12. An what does 12+36 equal? 48.

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3 years ago

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