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3 years ago

What is x? I will give brainliest if you explain your answer.

Mathematics

1 answer:

horsena [70]3 years ago

3 0

Answer:

x = {0, π/2, 3π/2, 2π}

Step-by-step explanation:

cotx cos x - cot x = 0
cotx( cosx - 1) = 0

1. cotx = 0

x = π/2 + πn
In the interval [0, 2π] we have π/2 and 3π/2

2. cosx = 1

x = 0 + 2πn
In the given interval we have 0 and 2π

So the solution set is:

x = {0, π/2, 3π/2, 2π}

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suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for

lubasha [3.4K]

Equation: L= -0.5D+34.

The water level be 26 feet in 16 days.

Step-by-step explanation:

Let us consider the initial level (x=0) of the water is 34 feet. Then its coordinate point can be written as (0,34).

The water is receding at the rate 0.5 feet per day, which given us the information that 0.5 is the slope since it is the rate of change and it is decreasing so it is a negative slope.

⇒m= -0.5.

The line equation is y = mx+c. Let us rewrite as L= mD+c.

Where L is the level of water(y-axis) and D is the days(x-axis) and c is y-intercept.

⇒L= (-0.5)D+c.

To find y-intercept, substitute (0,34) (the known point from the graph) in the equation. Also, the point in y axis when x=0 is y-intercept.

34= (-0.5)(0)+c.

c=34.

∴L= (-0.5)D+34.

To find the days when the water achieves level as 26 feet:

26 = (-0.5)D+34.

26-34= (-0.5)D.

-8 = (-0.5)D.

D= $\frac{-8}{-0.5}$ .

D= 16.

7 0

4 years ago

Determine whether each expression can be used to find the length of side AB. Match Yes or No for each

tankabanditka [31]

Answer:

$(a)\ AB = \frac{7}{\sin (B)}$ $\to Yes$

$(b)\ AB = \frac{24}{\cos (B)}$ $\to Yes$

$(c)\ AB = \frac{24}{\cos (A)}$ $\to No$

$(d)\ AB = \frac{7}{\cos (A)}$ $\to Yes$

Step-by-step explanation:

Given

$BC =24$

$AC = 7$

Required

Select Yes or No for the given options

$(a)\ AB = \frac{7}{\sin (B)}$ $\to Yes$

Considering the sine of angle B, we have:

$\sin(B) = \frac{Opposite}{Hypotenuse}$

$\sin(B) = \frac{7}{AB}$

Make AB, the subject

$AB = \frac{7}{\sin(B)}$

$(b)\ AB = \frac{24}{\cos (B)}$ $\to Yes$

Considering the cosine of angle B, we have:

$\cos(B) = \frac{Adjacent}{Hypotenuse}$

$\cos(B) = \frac{24}{AB}$

Make AB the subject

$AB = \frac{24}{\cos(B)}$

$(c)\ AB = \frac{24}{\cos (A)}$ $\to No$

Considering the cosine of angle B, we have:

$\cos(A) = \frac{Adjacent}{Hypotenuse}$

$\cos(A) = \frac{7}{AB}$

Make AB the subject

$AB = \frac{7}{\cos(A)}$

$(d)\ AB = \frac{7}{\cos (A)}$ $\to Yes$

This has been shown in (c) above

3 0

3 years ago

Find the measure , I need help

ehidna [41]

Answer:

166°

Step-by-step explanation:

Since ∠A = ∠B,

the equation below helps to find the value of x and angle A:

7x + 40° = 3x + 112°
7x - 3x = 112° - 40°
4x = 72°
x = 72°/4
x = 18°
∠A = 7*18° + 40° = 166°

7 0

3 years ago

Read 2 more answers

100+220000/33000 hello guysssss freeeeeeee points

larisa [96]

Answer:

Thank you very much

Step-by-step explanation:

Lol XD

8 0

3 years ago

Read 2 more answers

(5)

sergij07 [2.7K]

Answer:

Step-by-step explanation:

8 0

3 years ago