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3 years ago

Find the values of the six trigonometric functions for angle θ.Give answers in simplest form.

Mathematics

1 answer:

andrew-mc [135]3 years ago

3 0

Answer:

Below in bold.

Step-by-step explanation:

The length of the side opposite to theta:

= √(24^2-21^2)

= √(24-21)(24+21)

= √(135)

= 3√15.

sin theta = 3√15/ 24 = √15/8. csc theta = 1/√15/8 = 8/√15 = 8√15/15.

cos theta = 21/ 24 = 7/8. sec theta = 8/7.

tan theta = 3√15/21 = √15/7. cot theta = 7/√15 = 7√15/15.

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Write an expression that can be used to find 4 x 275 using mental math and properties of numbers.

Ket [755]

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3 years ago

Anna drives 3.9 miles to work. Tanya drives 7.5 times farther to work than Anna drives.

nalin [4]

Answer:Tanya drives 11.4 miles farther.

Step-by-step explanation:

3.9+7.5=11.4 miles

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3 years ago

Read 2 more answers

For each month of a given year except December, a worker earned the same monthly salary and donated one-tenth of that salary to

kiruha [24]

Answer:

D) 11/3

Step-by-step explanation:

Let x represent monthly salary.

We have been given that for each month of a given year except December, a worker earned the same monthly salary and donated one-tenth of that salary to charity.

Salary earned in 11 months would be $11x$ .

Money donated in 11 months would be $\frac{11x}{10}$ .

Further we are told that in December, the worker earned N times his usual monthly salary and donated one-fifth of his earnings to charity.

Salary for December would be $Nx$ .

Money donated in December would be $\frac{Nx}{5}$ .

The worker's charitable contributions totaled one-eighth of his earnings for the entire year that is $\frac{1}{8}\cdot (11x+Nx)$ .

$\frac{11x}{10}+\frac{Nx}{5}=\frac{1}{8}\cdot (11x+Nx)$

Dividing whole equation by x, we will get:

$\frac{11x}{10x}+\frac{Nx}{5x}=\frac{1}{8x}\cdot x(11+N)$

$\frac{11}{10}+\frac{N}{5}=\frac{1}{8}\cdot (11+N)$

$\frac{11}{10}+\frac{N}{5}=\frac{11}{8}+\frac{N}{8}$

Combine like terms:

$\frac{N}{5}-\frac{N}{8}=\frac{11}{8}-\frac{11}{10}$

$\frac{N}{5}*40-\frac{N}{8}*40=\frac{11}{8}*40-\frac{11}{10}*40$

$8N-5N=11*5-11*4$

$3N=55-44$

$3N=11$

$\frac{3N}{3}=\frac{11}{3}\\\\N=\frac{11}{3}$

Therefore, the value of N is 11/3 and option D is the correct choice.

4 0

3 years ago

Your father is planning to cook for 35 people using a recipe that specifies two and a half cups of sugar for each six people,

almond37 [142]

Your father will require 14.6 cups of sugar for the larger group

<h3>Ratio and proportions</h3>

From the question, we have that 2.5 cups of sugar can be used to make recipes for 6 people that is;

6 people = 2.5 cups of sugar

In order to calculate for 35 people, we will have;

35 people = x

Taking the ratio of the expressions

6/35 = 2.5/x

6x = 87.5

x = 87.5/6

x = 14.6

Hence your father will require 14.6 cups of sugar for the larger group

Learn more on ratio and proportions here: brainly.com/question/19994681

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2 years ago

Find the perimeter of the figure. ( Its a square, and one side says 20 ft while another says 18ft. I am confused. )

Luba_88 [7]

It might look like a square but it might actually be a rectangle but the answer is 76ft

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3 years ago