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seropon [69]
3 years ago
12

Find the height of the pyramid. square base with edge 15 feet and volume 1,350

Mathematics
1 answer:
kirill115 [55]3 years ago
8 0

Answer:

c

Step-by-step explanation:

The volume (V) of a square based pyramid is calculated as

V = \frac{1}{3} Ah ( A is the area of the base and h is the height )

Here V = 1350, thus

\frac{1}{3} × 15²h = 1350 ( multiply both sides by 3 to clear the fraction )

225h = 4050 ( divide both sides by 225 )

h = 18 ft → c

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Taiga wants to make a circular loop that she can twirl around her body for exercise. He will use a tube that is 2.5 meters long.
Travka [436]

Answer: 0.796 meters

Step-by-step explanation:

Circumference of circle = 2\pi r , where r=radius

Here, Circumference of loop = 2.5 meters

i.e. 2\pi r=2.5

\Rightarrow\ r=\dfrac{2.5}{2\pi}

\Rightarrow\ r=\dfrac{2.5}{2\times\dfrac{22}{7}}\\\\\Rightarrow\ r=\dfrac{2.5\times7}{2\times22}\\\\\Righttarrow\ r=0.398\ m

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7 0
3 years ago
The mayor of a town believes that over 47G% of the residents favor construction of an adjoining community. Is there sufficient e
photoshop1234 [79]

Answer:

There is sufficient evidence at the 0.05 level

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Alternative hypothesis : H1 : p ≠ 0.47

Step-by-step explanation:

percentage favoring construction of adjoining community = 47%

level = 0.05

To determine if the 0.05 confidence level is enough to support the major's claim we have to state the Null and alternative hypothesis

Null hypothesis ; H0 : p = 0.47

Alternative hypothesis : H1 : p ≠ 0.47

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