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klasskru [66]
4 years ago
12

What is the Surface Area Formula for a Square Pyramid? I need the formula

Mathematics
1 answer:
Contact [7]4 years ago
8 0

Answer:

The surface area of a square pyramid is the sum of the areas of all its 4 triangular side faces with the base area of the square pyramid. If a, h, and l are the base length, the height of the pyramid, and slant height respectively, then the surface area of the square pyramid = a2+ 2al (or) a2+2a √a24+h2 a 2 4 + h 2 .

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Write the quadratic function with the following transformations: vertical shrink by 3, left 4, down 9.
allsm [11]
Y=x^2
y=1/3(x+4)^2-9
Hope this helps
3 0
4 years ago
Please can someone help me with this
Eduardwww [97]

Answer:

\boxed{V = 434.9 \ cm^3 }

Step-by-step explanation:

Volume of Sphere = \frac{4}{3} \pi r^3

Where r = 4.7 cm

V = \frac{4}{3} (3.14)(4.7)^3

V = \frac{4}{3} (3.14)(103.8)

V = \frac{1304.7}{3}

V = 434.9 cm³  (Up to 1 dp)

4 0
4 years ago
Read 2 more answers
A racing car consumes a mean of 100 gallons of gas per race with a variance of 64. If 44 racing cars are randomly selected, what
lesantik [10]

Answer:

83.89% probability that the sample mean would be greater than 98.8 gallons

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation, which is also called standard error s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

The standard deviation is the square root of the variance. So

\mu = 100, \sigma = \sqrt{64} = 8, n = 44, s = \frac{8}{\sqrt{44}} = 1.21

If 44 racing cars are randomly selected, what is the probability that the sample mean would be greater than 98.8 gallons

This probability is 1 subtracted by the pvalue of Z when X = 98.8. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{98.8 - 100}{1.21}

Z = -0.99

Z = -0.99 has a pvalue of 0.1611

1 - 0.1611 = 0.8389

83.89% probability that the sample mean would be greater than 98.8 gallons

4 0
3 years ago
How is the graph of the parent function of y = RootIndex 3 StartRoot 0.5 x EndRoot transformed to produce the graph y = RootInde
lana66690 [7]

Answer:

Horizontal stretch by a factor of ½.

Step-by-step explanation:

We were given the parent function as:

y =  \sqrt[3]{0.5x}

This was transformed to:

y =  \sqrt[3]{x}

Let

g(x) =  \sqrt[3]{0.5x}

and

f(x) =  \sqrt[3]{x}

Then:

f(x) = g(2x)

Hence the parent function has been stretched horizontally by a factor of 1/2 to obtain the transformed function.

6 0
3 years ago
Read 2 more answers
10. The lengths of two sides of a right triangle are given. Find the length of the third side. Round to the nearest tenth if nec
bogdanovich [222]

Step-by-step explanation:

Length of third side

=  \sqrt{ {24}^{2}  +  {16}^{2} }  \\  =  \sqrt{576 + 256}  \\  =  \sqrt{832}  \\  = 28.84 \\   \approx \: 28.8 \: in

Or

Length of third side

=  \sqrt{ {24}^{2}  -  {16}^{2} }  \\  =  \sqrt{576 - 256}  \\  =  \sqrt{320}  \\  = 17.8885438 \\   \approx \: 17.9 \: in

6 0
4 years ago
Read 2 more answers
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