Can someone please answer. There is one problem. There's a picture! Thank you!

Mathematics

2 answers:

Andru [333]3 years ago

8 0

A cotangent (cot) is the adjacent side (not the hypotenuse or side not containing the right angle) over the opposite side, so $cot(G) = \frac{j}{g}$ or the third answer.

Fudgin [204]3 years ago

4 0

The answer is the third option, $\frac{j}{g} .$

Start by knowing that the cotangent function is the reciprocal of the tangent function. Because tangent is $\frac{opp}{adj}$ , cotangent is $\frac{adj}{opp} .$

For angle G, find the adjacent and opposite sides of the given triangle. These are j and g, respectively. Simply put those into the contangent function, and you have your answer.

$\cot(G)= \frac{adj}{opp} = \frac{j}{g}$

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Jim weighs 30 pounds less than Tom, and together they weigh 210 pounds. Let n = Tom's weight in pounds. How much does Tom weigh?

never [62]

First, let's write an equation for the situation.

Jim's weight is 30 pounds less than Tom's, so his weight is:

n - 30

If Tom's and Jim's weights add to 210:

n + (n - 30) = 210

Solve for n:

2n - 30 = 210

2n = 240

n = 120

Tom weighs 120 pounds.

5 0

3 years ago

I need help please :)

EleoNora [17]

Answer:

x is any integer except for -1

Step-by-step explanation:

If you substitute -1 for x, the denominator value would be 0, or undefined.

For this reason, x cannot be -1, which is mathematically known as an extraneous value.

8 0

3 years ago

In 2018, Mike Krzyewski and John Calipari topped the list of highest paid college basketball coaches (Sports Illustrated website

expeople1 [14]

From the data given, we estimate the population mean and population standard deviation. Then, we use this estimate to find a 95% confidence interval for the population variance and the population standard deviation.

Sample:

Salaries in millions of dollars: 2.2, 1.5, 0.5, 1.3, 2.4, 1.5, 2.7, 0.3, 2.0, 0.3

Question a:

The mean is the sum of all values divided by the number of values. So

$\overline{x} = \frac{2.2 + 1.5 + 0.5 + 1.3 + 2.4 + 1.5 + 2.7 + 0.3 + 2.0 + 0.3}{10} = 1.42$

The sample mean salary is of 1.42 million.

Question b:

The standard deviation is the square root of the difference squared between each value and the mean, divided by one less than the number of values.

$s = \sqrt{\frac{(2.2-1.42)^2 + (1.5-1.42)^2 + (0.5-1.42)^2 + (1.3-1.42)^2 + (2.4-1.42)^2 + (1.5-1.42)^2 + (2.7-1.42)^2 + ...}{9}} = 0.8772$