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What is the lateral area of the rectangular prism with a base length of 14 m, a base width of 9 m, and a height of 6 m?

katen-ka-za [31]

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The best and most correct answer among the choices provided by the question is B.276 m2
.
 
Hope my answer would be a great help for you.

7 0

3 years ago

Read 2 more answers

Jerry has a miniature model of a boat. He knows that the boat is 3 3/4 inches wide and 5 1/2 inches long. What is the actual len

FromTheMoon [43]

Width of the miniature model = $3\frac{3}{4}$ inches

Length of the miniature model = $5\frac{1}{2}$ inches

The actual width of the boat = 15 feet

Let us find the actual length of the boat.

Write it in a proportion form.

width of model : length of model : : width of actual : length of actual

$$\Rightarrow 3\frac{3}{4}:5\frac{1}{2}::15:x$

$$\Rightarrow\frac{15}{4}:\frac{11}{2}::15:x$

$$\Rightarrow\frac{\frac{15}{4}}{\frac{11}{2}} =\frac{15}{x}$

Do cross multiplication.

$$\Rightarrow{\frac{15}{4}x =15\times\frac{11}{2}$

$$\Rightarrow{\frac{15}{4}x =\frac{165}{2}$

$$\Rightarrow x =\frac{165}{2}\times{\frac{4}{15}$

⇒ x = 22

Hence the actual length of the boat is 22 feet.

6 0

3 years ago

Use the net to find the surface area of the cylinder

densk [106]

Answer:

D) 120pi yd2

Step-by-step explanation:

7 0

3 years ago

What is the exact value of tan(-π/3)? A. -√3 B. -√3/3 C.√3/3 D. √3

Dimas [21]

$\tan \left(-\dfrac{\pi}3\right)\\\\=-\tan \left(\dfrac{\pi}3\right)\\\\=-\sqrt 3$

5 0

3 years ago

Commute times in the U.S. are heavily skewed to the right. We select a random sample of 500 people from the 2000 U.S. Census who

tresset_1 [31]

Answer:

|t| = 2.739 > 1.972 at 0.05 level of significance

Null hypothesis is rejected at 0.05 level of significance

The researchers able to conclude from this data that the mean commute time in the U.S. is less than half an hour

Step-by-step explanation:

Step(i):-

Given sample size n = 500

Given data

mean of the sample x⁻ = 27.6 minutes

Standard deviation of the sample (S) = 19.6 minutes

Mean of the Population 'μ' = half an hour or 30 minutes

Level of significance ∝ =0.05

t₀.₀₅ = 1.972

Step(ii):-

Null hypothesis :H₀: μ= 30

Alternative Hypothesis :H₁: μ < 30

Test statistic

$t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }$

$t = \frac{27.6 -30}{\frac{19.6}{\sqrt{500} } }$

t = - 2.739

|t| = |-2.739| = 2.739

Final answer:-

|t| = 2.739 > 1.972 at 0.05 level of significance

Null hypothesis is rejected at 0.05 level of significance

The researchers able to conclude from this data that the mean commute time in the U.S. is less than half an hour

5 0

4 years ago