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tekilochka [14]
3 years ago
8

Find the volume of a frustum of a right pyramid whose lower base is a square with a side 5 in. and whose upper base is a square

with a side 3 in., and whose altitude is 12 in. Round your answer to the nearest whole number.
A. 1036 cu in.
B. 47 cu in.
C. 226 cu in.
D. 196 cu in.
I'll give u extra points if u answer this
Mathematics
1 answer:
noname [10]3 years ago
7 0
The volume of the frustum =(1/3)h[a1+a2]+√(a1 a2) where a1=bottom area,a2=top area and h=height
a1=100sa.inch
a2=25 sq.inch and
h=12inch
so the volume =(1/3)(12)[100+25+
√(100*25)]
=4*[125+50]
=4*175=700 cubic inches or [inch cubed]
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Step-by -step explanation: given 5miles = 8km. now, 5miles — 8km. X miles — 100km. now do cross multiplication.

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If P = (-2,7), Find:<br> Rx-1(P)<br> ([?], [])
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Step-by-step explanation:

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2 years ago
The surface area of a pyramid is 327 square meters. what is the surface area of a similar pyramid that is smaller by a scale fac
N76 [4]

Answer:

\boxed{\text{144.33 m}^{2}}

Step-by-step explanation:

The scale factor (C) is the ratio of corresponding parts of the two pyramids.  

The ratio of the areas is the square of the scale factor.

\dfrac{A_{1}}{ A_{2}} = C^{2}\\\\\dfrac{\text{327 m}^{2}}{A_{2}} = \left (\dfrac{1}{\frac{2}{3}}\right)^{2}\\\\ \dfrac{\text{327 m}^{2}}{A_{2}}= \dfrac{9}{4}\\\\\text{1308 m}^{2}= 9A_{2}\\\\A_{2} = \text{145.33 m}^{2}\\\text{The surface area of the smaller pyramid is \boxed{\text{145.33 m}^{2}}}

4 0
3 years ago
6:1 equivalent to the ratio 12:3
Lady bird [3.3K]

Answer:

No

Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
In a recent poll, 35% of survey respondents said that, if they only had one child, they would prefer the child to be a boy. Supp
Schach [20]

Answer:

we have that z = 1.8326 which is not close to z factor of 0. The result is not within limits.

Step-by-step explanation:

Following normal approximation to binomial we have

mean = n×p

standard deviation = √(n×p×(1-p))

n is equal to 160

p is equal to 35%

n×p is equal to 150×0.35 = 52.5

this is the probability that you would expect based on the knowledge that 35% of survey respondents said they would prefer a boy than a girl.

in your survey you got 74 out of 150 and you want to know if this is statistically significant or if you can expect this deviation by chance.

standard deviation is calculated as √(n×p× (1-p))which becomes

√ (150×0.35×0.75 = 6.2749 which is more than enough accuracy for what is required.

without a continuity correction, your formula would be:

z (74 > 52.5) = (population mean - sample mean) / population standard deviation which becomes (74-52.5)/6.2749 = 1.8326

this is not close to a z factor of 0 which means that the results are not within limits.

with a continuity correction, your formula would be:

z (52.5 > 52.5) = 0

A z factor of zero means that your sample mean is exactly the population mean.

3 0
3 years ago
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