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3 years ago

In Triangle PQR, PQ = 9, QR = 10, and RP = 12. What is the smallest angle of this triangle?

Mathematics

1 answer:

KatRina [158]3 years ago

8 0

Answer:

Step-by-step explanation:

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The sphere area of a sphere is 200.96 square centimeters. What is the approximate volume of the sphere? Use 3.14 for pi. Round y

julsineya [31]

We are given

area of sphere is 200.96cm^2

it means that we are given surface area

so, we can use surface area formula

$S=4\pi r^2$

where S is surface area

r is radius

so, firstly we need to find radius or r

$200.96=4\pi r^2$

we can solve for r

$r=3.9989cm$

now, we can find volume

$V=\frac{4}{3} \pi r^3$

we can plug r

$V=\frac{4}{3} \pi (3.9989)^3$

now, we can find volume

$V=267.86cm^3$ .............Answer

7 0

4 years ago

Which logaritnmic equation equivalent to the exponential equation below 5c=125

nataly862011 [7]

I assume you meant to write 5^c = 125. The equivalent logarithmic expression for this would be ㏒₅125=c.

3 0

4 years ago

Explain the difference between the union and intersection of two sets.

Margaret [11]

Answer:

The union of two sets is a new set that contains all of the elements that are in at least one of the two sets.

Step-by-step explanation:

7 0

3 years ago

Pennsylvania Refining Company is studying the relationship between the pump price of gasoline and the number of gallons sold. Fo

Semenov [28]

Complete Question

Pennsylvania Refining Company is studying the relationship between the pump price of gasoline and the number of gallons sold. For a sample of 14 stations last Tuesday, the correlation was 0.65.At the 0.01 significance level Can the company conclude that the correlation is positive

Answer:

Yes the company conclude that the correlation is positive

Step-by-step explanation:

From the question we are told that

The sample size is n = 14

The correlation is r = 0.65

The null hypothesis is $H_o : r < 0$

The alternative hypothesis is $H_1 : r > 0$

Generally the standard deviation is mathematically evaluated as

$Sr = \sqrt{1- r}$

$Sr = \sqrt{1- 0.65}$

$Sr = 0.616$

The degree of freedom for the one-tail test is

$df = n- 2$

$df = 14- 2$

$df = 12$

The standard error is evaluated as

$SE = \frac{0.616}{ \sqrt{12} }$

$SE =0.1779$

The test statistics is evaluated as

$t = \frac{r }{SE}$

$t = \frac{0.65 }{0.1779}$

$t = 3.654$

The p-value of of t is obtained from the z table, the value is

$p-value = P(t < 3.654) = 0.00012909$

Given that $p-value < \alpha$ then we reject the null hypothesis

Hence the company can conclude that the correlation is positive

6 0

4 years ago

linda enrolls for 10 credit-hours for each of two semesters at a coat of $650 per credit-hour. in addition, textbooks cost $300

Shtirlitz [24]

Answer:

13,600 dollars

Step-by-step explanation:

So if Linda has 20 credit hours in total, and you multiply that by 650 dollars, that will equal 13,000 dollars. If you add 600 (which is the cost of the textbooks for both semesters) to that it will equal 13,600

8 0

3 years ago