Identify the reference angle, θ.

θ =

°

Answer:
To solve for sin(-135), the reference angle will be obtained as follow:

sin(-135)

=-sin(135)

=-sin(180-135)

=-sin 45

hence

the reference angle θ=45°

sin(-135)

=-sin(135)

=-sin(180-135)

=-sin 45

hence

the reference angle θ=45°

Answer:

**Answer:**

The reference angle will be

**Step-by-step explanation:**

To solve for , the reference angle can be obtained as follows:

=

= (Because )

Thus, the above equation can be written as:

=

**=**

**Hence, the reference angle will be **

How many triangles can you count?

1/4 times 2 equals??

Given the age in years, t, of a water-transport pipe, the formula R = 17 + 4 t can be used to predict the rate of water leakage (in gallons per minute) from the pipe as it carries water from the headquarters of a farming cooperative to farmland a mile away. What is the meaning of the constant 17 in the function R ?A. Initially the pipe leaks at 4 gallons per year. B. Initially the pipe leaks at 17 gallons per year. C. Initially the pipe leaks 17 gallons. D. Initially the pipe leaks at 4 gallons per minute. E. Initially the pipe leaks 4 gallons. F. Initially the pipe leaks at 17 gallons per minute.

WILL GIVE BRAINLIEST AND 40 POINTS TO CORRECT ANSWER (URGENT)chef daniels places her favorite recipes in a bag for 4 pasta dishes, 5 casseroles, 3 types of chili, and 8 desserts. If Chef Daniel chooses two recipes at random (but replaces the first one before drawing the second), what is the probability that the first recipe she selects is a casserole and the second recipe she selects is a dessert?

...........................

1/4 times 2 equals??

Given the age in years, t, of a water-transport pipe, the formula R = 17 + 4 t can be used to predict the rate of water leakage (in gallons per minute) from the pipe as it carries water from the headquarters of a farming cooperative to farmland a mile away. What is the meaning of the constant 17 in the function R ?A. Initially the pipe leaks at 4 gallons per year. B. Initially the pipe leaks at 17 gallons per year. C. Initially the pipe leaks 17 gallons. D. Initially the pipe leaks at 4 gallons per minute. E. Initially the pipe leaks 4 gallons. F. Initially the pipe leaks at 17 gallons per minute.

WILL GIVE BRAINLIEST AND 40 POINTS TO CORRECT ANSWER (URGENT)chef daniels places her favorite recipes in a bag for 4 pasta dishes, 5 casseroles, 3 types of chili, and 8 desserts. If Chef Daniel chooses two recipes at random (but replaces the first one before drawing the second), what is the probability that the first recipe she selects is a casserole and the second recipe she selects is a dessert?

...........................

B. Inflation discourages people from saving.

C. The money they saved in the past is worth less in the future.

D. Inflation reduces the interest savings accounts pay.

i took personal finance, sorry if i,m wrong but i think its C

**Answers:**

**The first blank is 180**

**The second blank is 60**

======================================

The triangle sum theorem basically says that adding up all three angles of any triangle always leads to 180 degrees. So that's why

(angle1)+(angle2)+(angle3) = 180

x+x+x = 180

**3x = 180**

Divide both sides of that last equation by 3. This is to undo the multiplication of 3 done to x.

3x = 180

3x/3 = 180/3 ... divide both sides by 3

**x = 60**

Each angle of this equilateral triangle is 60 degrees. In an equilateral triangle, all three sides are the same length. Also in an equilateral triangle, all three angles are the same measure and always 60 degrees.

The **Triangle Sum Theorem** says that all angles in a triangle add up to 180 degrees. In an equilateral triangle, all angles are equal. Hence, each angle is 60 degrees.

The **Triangle Sum Theorem** states that the sum of the measures of the angles in a triangle is always 180 degrees. Now, in an **equilateral triangle**, all angles are equal. Let's denote the measure of each angle with x. According to the theorem, the sum of these measures is x + x + x = 180. Simplifying this gives 3x = 180. Hence, solving for x, which refers to the measure of each angle in the equilateral triangle, we get x = 180 / 3 = 60 degrees. Thus, each angle in an equilateral triangle measures 60 degrees.

#SPJ2

3

6

7 6 5 4

5

3

2

.

1

.

-2 -1

-1

1 2 3 4

g

6 7

8x

8

-2

-3

Yes, this is a function. It does pass the vertical line test.

No, this is not a function. It does NOT pass the vertical line test.

11

What is the independent variable of the following statement?

Luke

goes to the store to buy some candy, The more money he has, the more candy he will buy.

The amount of candy he buys

The amount of money he has

The store he goes to

The type of money he has

10.Yes

11.Number 3

I hope this helps

11.Number 3

I hope this helps

Yes it’s a function and A the amount of candy

Ans. b) **Cardinality **of B is strictly greater than

In **mathematics**, a group or **collection **of certain items is referred to as a set.

Given, for sets A and B there exists an **injective **function but not a **bijective **function from A to B. If there is no bijective function from A to B, then B's **cardinality **is strictly bigger than A's since certain items in B have no preimage in A.

Therefore answer b) **Cardinality **of B is strictly greater than is correct

learn more about **sets **here:

#SPJ2

No question asked? Maybe include all of the information given.

**Answer: **f(x) = 9 pesos if 0km ≤ x ≤ 4km

f(x) = 9 pesos + (x - 4km)*0.75 pesos if 4km ≤ x

**Step-by-step explanation:**

Ok, we know that:

For the first 4km, we have a fixed price of 9 pesos.

For any km after the 4km mark, we have an extra of 0.75 pesos.

Then if x is the number of kilometers, we can write this as:

f(x) = 9 pesos if 0km ≤ x ≤ 4km

f(x) = 9 pesos + (x - 4km)*0.75 pesos if 4km ≤ x

Where we use (x - 4km) because we start counting after the 4km mark.

**Answer:**

7.5

**Step-by-step explanation:**

60% = 0.6

18 / 0.6 = 30 (given number)

25% = 0.25

30 * 0.25 = 7.5

Best of Luck!

**Answer:**

2.7

**Step-by-step explanation:**

60/100x = 18

x = 10.8

25/100x = ?

25/100 (10.8) = 2.7