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2 years ago

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

Mathematics

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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A bowl contains 4 tangerines and 5 clementines. John randomly selects one piece of fruit, and then Pam randomly selects one of t

andre [41]

Answer:

5/18

Step-by-step explanation:

There are 9 pieces of fruit in the bowl, tangerines and 5 clementines.

Assuming that they do not put the fruit back

P (tangerine) = number of tangerines/ total = 4/9

Then John keeps his and there are 8 pieces of fruit in the bowl,

3 tangerines and 5 clementines.

P (Clementine) = number of clementines/ total = 5/8

P (tangerine, no replacement, Clementine) = P (tangerine) * P (Clementine)

= 4/9 * 5/8 =5/18

6 0

3 years ago

Read 2 more answers

I posted this 2 hours ago can someone pls help?

nikdorinn [45]

Answer:

0.314 gallon is required to cover a circular region with a radius of 40 feet

Step-by-step explanation:

Given

a gallon of paint will cover about 400 square feet in a single coat

To Find:

Number of gallons required to cover a circular region with a radius of 40 feet = ?

Solution:

Step 1: Finding Area of the circular region

The area of the circular region, A = $\pi r^2$

where r is the radius

Now substituting r = 40 , we get

A = $\pi \times 40$

$A = 125.6 ft^2$

Step 2: Finding the number of gallons of paint required

To cover 400 sq feet = 1 gallon

so to cover 1 square feet = $\frac{1}{400}$ gallon

Now to cover 125.6 ft we need

$125.6 \times \frac{1}{400}$

$\frac{125.6}{400}$

=> 0.314 gallon

4 0

3 years ago

How are the real solutions of a quadratic equation related to the graph of the quadratic function?

Anika [276]

The solutions you get when you solve the formula are the corresponding y coordinates to your x value. So say a point on your graph is (2,3). The first number is x and the second is y. (x,y). The number you plug into your function is x,or in this case: 2. The solution to the equation when the x value is plugged in is y, or 3. Therefore, giving you a point on your graph.

7 0

3 years ago

What is the rate of change in decimal form for the points (1,5) (0,-3)

seraphim [82]

Answer:

The rate of change between (1, 5) and (0, -3) would be 8.0.

Step-by-step explanation:

"What is the rate of change between these two points" is the same as asking "what is the slope between these two points".

We are given the two points (1, 5) and (0, -3) and we are asked to find the rate of change (slope) between these two points. To do this, we could use the slope formula to find the rate of change between the two points. The slope formula is:

$\frac{y_2-y_1}{x_2-x_1}$

where (x₂, y₂) and (x₁, y₁) are the two points that we are trying to find the slope between.

Lets make (x₂, y₂) = (1, 5) and (x₁, y₁) = (0, -3). (It does not matter which is (x₂, y₂) and which is (x₁, y₁)). Now plug (x₂, y₂) = (1, 5) and (x₁, y₁) = (0, -3) into the equation:

$\frac{5-(-3)}{1-0} =\frac{8}{1}=8$

8 = 8.0, so the answer would be 8.0.

The rate of change between the two points would be 8.0.

I hope you find my answer helpful. :)

3 0

3 years ago

$<br> 12<br> Select the box in each rowia<br> WA<br> 6

scoundrel [369]

I’m sorry, but could you provide more details to your question?

5 0

3 years ago