1.6093 kilometers times 90

What is the surface area of the triangular prism?

trasher [3.6K]

The surface area of the triangular prism is: B. 72 sq. ft

<h3>Surface Area of a Triangular Prism</h3>

The surface area of a triangular prism is given by the formula: SA = bh + (s1+s2+s3)H

Where, b is the base, h is the height, and s1+s2+s3 is the perimeter of the triangular base, H is the length of the prism.

Thus, given the triangular prism as shown in the diagram attached below, we have the following:

b = 4 ft

h = 3 ft

H = 5 ft

s1 + s2 + s3 = 3 + 4 + 5 = 12 ft

Plug in the values

Surface area = 4×3 + (12)5 = 12 + 60 = 72

Therefore, the surface area of the triangular prism is: B. 72 sq. ft

Learn more about the surface area of triangular prism on:

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7 0

3 years ago

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Q3. In a hydraulic lift, a 1400 N force is applied to a 0.5 m2 piston. Calculate the minimum surface area of the large piston to

blondinia [14]

Answer:

1.8m^2 approx

Step-by-step explanation:

Given data

P1= 1400N

A1=0.5m^2

P2=5000 N

A2=??

Let us apply the formula to calculate the Area A2

P1/A1= P2/A2

substitute

1400/0.5= 5000/A2

cross multiply

1400*A2= 5000*0.5

1400*A2= 2500

A2= 2500/1400

A2= 1.78

Hence the Area is 1.8m^2 approx

3 0

4 years ago

Terrell Trucking Company is in the process of setting its target capital structure. The CFO believes that the optimal debt-to-ca

Eduardwww [97]

Answer:

40% or 0.4

Step-by-step explanation:

The optimal capital structure (OCS) of a firm is defined as "the proportion of debt and equity that results in the lowest weighted average cost of capital (WACC) for the firm"

The brief explanation of this is that OCS is the factor used by a company in maximising their stock price, and this generally calls for a Debt-to-capital or "Debit-to-equity" ratio.

From the table above, the company's stock ratio is highest or maximised at 37.75 (under Projected Stock Price Column)

This can be traced to 40% under Debt/Capital ratio column

Hence, the Debt/Capital Ratio of 40%,

Because it must equate to 100%, we say that the firm's optimal capital structure is 40% debt and 60% equity.

This is also the debt to capital ratio, where the firms WACC is minimized.

5 0

4 years ago

The average size of a new house built in a Hays county in 2010 was 1,872 square feet. A random sample of 40 new homes built in H

vlada-n [284]

Answer:

The test statistic is z = 2.7.

The pvalue of the test is 0.0035 < 0.05, which means that this sample provides enough evidence to conclude that the average house size has increased in the Hays County since 2010.

Step-by-step explanation:

The average size of a new house built in a Hays county in 2010 was 1,872 square feet. Evidence that it has increased?

This means that the null hypothesis is:

$H_0: \mu = 1872$

And the alternate hypothesis is:

$H_a: \mu > 1872$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

1872 is tested at the null hypothesis:

This means that $\mu = 1872$

Sample of 40. The average square footage was 2,031 with a standard deviation of 373 square feet.

This means that $n = 40, X = 2031, \sigma = 373$

Value of the test-statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{2031 - 1872}{\frac{373}{\sqrt{40}}}$

$z = 2.7$

Pvalue and decision:

The pvalue of the test is the probability of finding a sample mean above 2031. This is 1 subtracted by the pvalue of z = 2.7.

Looking at the z-table, z = 2.7 has a pvalue of 0.9965

1 - 0.9965 = 0.0035

The pvalue of the test is 0.0035 < 0.05, which means that this sample provides enough evidence to conclude that the average house size has increased in the Hays County since 2010.

7 0

3 years ago

Find the volume and surface area of this triangular prism. 12 cm 13 cm 18 cm and 5 cm

Ipatiy [6.2K]

⇒ s = a+b+c2=5+12+132 a + b + c 2 = 5 + 12 + 13 2 = 15 cm.
Area of the base = √s(s−a)(s−b)(s−c)
= √15×10×3×2 15 × 10 × 3 × 2 cm2 = 30 cm2

3 0

3 years ago

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1.609​3 kilometers times 90

1.6093 kilometers times 90