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3 years ago

The ratio of the lengths of corresponding parts in two similar solids is 4:1.

Mathematics

1 answer:

Rina8888 [55]3 years ago

7 0

Answer:

the ratio is 16:1

Step-by-step explanation:

surface area is measured in square units, so you should square both numbers in the linear ratio to get the ratio for the surface area.

$4^{2} : 1^{2} -->16:1$

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Formula for the area of a circle in terms of its circumference

Usimov [2.4K]

$\bf \textit{circumference of a circle}\\\\
C=2\pi r\qquad \qquad \implies \cfrac{C}{2\pi }=\boxed{r}\\\\
-------------------------------\\\\
\textit{area of a circle}\\\\
A=\pi r^2\qquad \qquad \implies A=\pi \left( \boxed{\cfrac{C}{2\pi }} \right)^2\implies A=\pi \left( \cfrac{C^2}{(2\pi )^2} \right)
\\\\\\
A=\cfrac{\pi C^2}{2^2\pi^2}\implies A=\cfrac{C^2}{4\pi }$

5 0

3 years ago

Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the pre

artcher [175]

Answer: The proportion of new car buyers that trade in their old car has statistically significantly decreased.

Step-by-step explanation:

Since we have given that

p = 48% = 0.48

n = 115

x = 46

So, $\hat{p}=\dfrac{46}{115}=0.40$

So, hypothesis would be

$H_0:\ p=\hat{p}\\\\H_a:p$

So, test value would be

$z=\dfrac{p-\hat{p}}{\sqrt{\dfrac{p(1-p)}{n}}}\\\z=\dfrac{0.48-0.40}{\sqrt{\dfrac{0.48\times 0.52}{115}}}\\\\z=\dfrac{0.08}{0.0466}\\\\z=1.72$

At 10% level of significance, critical value would be

z= 1.28

Since 1.28 < 1.72

So, we will reject the null hypothesis.

Hence, the proportion of new car buyers that trade in their old car has statistically significantly decreased.

6 0

3 years ago

Evaluate<br> -6(2) = [?]

professor190 [17]

Answer:

afkdtusttdd worksheet Albertsons Prescott keeps given

8 0

3 years ago

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3х- (-2х) please answer... I don't need work shown tho

devlian [24]

Answer:

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7 0

3 years ago

A kayak rental company charges $25.00 to rent a kayak and $3.50 for each half hour it is used.

pogonyaev

Answer:

Option D (r(t) = 3.50t +25 ; r(8) = 53)

Step-by-step explanation:

The fixed cost to rent the kayak $25. This is the cost which remains fixed irrespective of the usage of the kayak. The variable cost of using the kayak is the cost which depends on the usage of the kayak. It is mentioned that the kayak is used for 4 hours and the company charges $3.5 for every half hour. The cost function is given by:

r(t) = 25 + 3.5t ; there r is the total cost of using the kayak and t is the number of half-hours the kayak is used.

4 hours means that there are 8 half-hours. Therefore, t=8. Put t=8 in r(t).

r(8) = 25 + 3.5*(8) = 25 + 28 = 53.

Therefore, Option D is the correct answer!!!

3 0

3 years ago

Read 2 more answers