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2 years ago

5

In which quadrant does O lie if the following statements are true: cos 0 < 0 and cscO > 0

1 answer:

Olin [163]2 years ago

5 0

Answer:

2nd quadrant.

Step-by-step explanation:

$\text{Given that,}~ \cos \theta < 0~ \text{and}~ \csc \theta > 0.}\\\\\text{So,}~\cos \theta ~ \text{is negative and}~ \csc \theta ~ \text{is positive.}\\\\\text{In Quadrant II, all other ratios are negative except}~ \sin \theta ~ \text{ and}~ \csc \theta.\\\\\text{Hence, the angle lies in the 2nd quadrant.}~$

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PLEASEHELP!!!!!!

pantera1 [17]

Using proportions, it is found that the speed of the runners are of 16 mph and of 20 mph.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount.

After 30 minutes, the runners are 2 miles apart, hence the second runner is 4 miles per hour faster than the second, that is:

$v_2 = v_1 + 4$ .

The first runner's speed is 4/5 of the speed of the second runner, hence:

$v_1 = \frac{4}{5}v_2$

$v_1 = \frac{4}{5}(v_1 + 4)$

$\frac{1}{5}v_1 = \frac{16}{5}$

$v_1 = 16$

$v_2 = 16 + 4 = 20$

Hence, the speed of the runners are of 16 mph and of 20 mph.

More can be learned about proportions at brainly.com/question/24863377

5 0

2 years ago

Read 2 more answers

At what time will there be 64 cells in the bottle?

yawa3891 [41]

Answer: 10:30 a.m. will be the time where there are 64 cells in the bottle

Step-by-step explanation:

4 0

3 years ago

What polynomial should be subtracted from the polynomial y^2–5y+1 to get the difference equal to: 5

monitta

Answer:

y^2 - 5y - 4

Step-by-step explanation:

So you want f(y) such that

(y^2-5y+1) - f(y) = 5

Subtract both sides by (y^2-5y+1):

-f(y) = 5 - (y^2-5y+1)

-f(y) = -y^2 + 5y + 4

f(y) = y^2 - 5y - 4

So the polynomial you are looking for is y^2 - 5y - 4

5 0

3 years ago

ioda

Answer:

$x = \sqrt{\frac{7}{2} }$

Step-by-step explanation:

<u><em>Explanation</em></u>

From given graph

AC = √7

Given angle ∝ = 45°

$cos\alpha = \frac{adjacentside}{Opposite side}$

$cos45 = \frac{x}{\sqrt{7} }$

$\frac{1}{\sqrt{2} } = \frac{x}{\sqrt{7} }$

$x = \frac{\sqrt{7} }{\sqrt{2} }$

$x = \sqrt{\frac{7}{2} }$

x = 1.8708

7 0

2 years ago

Write an equation in slope-intercept form of the line with slope −4/5 that contains the point (−5,−4).

Dmitry [639]

Answer:

B

Step-by-step explanation:

<u>Slope-intercept form:</u>

y= mx +c, where m is the slope and c is the y-intercept.

Given that the slope is -4/5,

$y = - \frac{4}{5} x + c$

To find the y-intercept, substitute a pair of coordinates.

When x= -5, y= -4,

$- 4 = - \frac{4}{5} ( - 5) + c \\ - 4 = 4 + c \\ c = - 4 - 4 \\ c = - 8$

Thus, the equation of the line is

$y = - \frac{4}{5} x - 8$

6 0

3 years ago