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2 years ago

Which equation can be used to find the measure of angle FGE?

Mathematics

1 answer:

elena-s [515]2 years ago

3 0

SOH CAH TOA tells you

Sin(x) = Opposite/Hypotenuse

The side opposite x is 9; the hypotenuse is 15.2. Putting these values into the above equation gives you the second selection

sin(x) = 9/15.2

_____

SOH CAH TOA is a mnemonic that can be used to remember the definitions of the basic trig functions, sine, cosine, and tangent. In this context, A stands for the side Adjacent to the angle.

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Bailey likes the shape of her friend's pool, but she wants one that is half the volume. According to Cavalieri’s Principle, what

Cerrena [4.2K]

Answer: I need a picture off the pool and measurements.

Step-by-step explanation: I need this in order to figure out the problem and give you a helpful answer.

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2 years ago

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A garden supply store sells two types of lawn mowers. The smaller mower costs $249.99 and the larger mower costs $329.99. If 30

Annette [7]

19 small mowers and 11 large mowers are sold

Solution:

Let "a" be the number of small mowers sold

Let "b" be the number of large mowers sold

Cost of each small mower = $ 249.99

Cost of each large mower = $ 329.99

30 total mowers were sold

Therefore,

a + b = 30

a = 30 - b ------------- eqn 1

The total sales for a given year was $8379.70

Thus we frame a equation as:

number of small mowers sold x Cost of each small mower + number of large mowers sold x Cost of each large mower = 8379.70

$a \times 249.99 + b \times 329.99 = 8379.70$

249.99a + 329.99b = 8379.70 ---------- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 1 in eqn 2

249.99(30 - b) + 329.99b = 8379.70

7499.7 - 249.99b + 329.99b = 8379.70

80b = 8379.70 - 7499.7

80b = 880

Divide both sides by 80

b = 11

Substitute b = 11 in eqn 1

a = 30 - 11

a = 19

Thus 19 small mowers and 11 large mowers are sold

8 0

2 years ago

A parallelogram has a base of 9 units and a corresponding height of 2/3 units. What is the area

True [87]

Area or parallelogram = base * height

Area = 9 units * 2/3 units

Area = 9/1 * 2/3 square units

Area = 18/3 square units

Area = 6 square units

Answer: area = 6 square units

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2 years ago

According to one company’s profit model, the company has a profit of 0 when 10 units are sold and a maximum profit of $18,050 wh

grin007 [14]

Answer: Function

f(x) = -2(x-105)^2 +18,050

Step-by-step explanation:

Because only this function satisfies both conditions i.e.

Condition : 1

Profit = 0, when x(items sold) = 10

f(10) = -2(-95)^2 + 18,050 = 0

Condition :2

Profit = 1 , when x = 105

f(105)= -2(105-105)^2 + 18,050 = -2(0) +18,050

f(105) = 18,050.

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2 years ago

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The Boston public school district has had difficulty maintaining on-time bus service for its students ("A Year Later, School Bus

zheka24 [161]

Answer:

$z=\frac{8-12}{\frac{12}{\sqrt{36}}}=-2$

C. z=-2.00

Step-by-step explanation:

Data given and notation

$\bar X=8$ represent the sample mean

$\sigma=12$ represent the population standard deviation

$n=36$ sample size

$\mu_o =12$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the ture mean is equal to 12 or no, the system of hypothesis would be:

Null hypothesis: $\mu =12$

Alternative hypothesis: $\mu \neq 12$

If we analyze the size for the sample is > 30 and know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{8-12}{\frac{12}{\sqrt{36}}}=-2$

C. z=-2.00

8 0

1 year ago