# Use the steps to determine the exact value of sin(−135)°.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°

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

## Related Questions

Why are people with savings hurt by inflation? A. The money is worth more now than it was in the past, leading to a higher tax bill.
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

Explain how you can use the Triangle Sum Theorem to find the measures of the angles in an equilateral triangle.The angles of an equilateral triangle are . Let the measure of each angle be x. Then, by the Triangle Sum Theorem, x + x + x = 3x = °_____________. Solving for x gives x = °____________.

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.

### Explanation:

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.

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10 and 11.Is this relation a function?у
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
Yes it’s a function and A the amount of candy

If for sets A and B there exists a injective function but not bijective function from A to B then a) Cardinality of A is stricly greater than B b) Cardinality of B is strictly greater than A c) Cardinality of B is equal to A d) None of the mentioned

Ans.  b) Cardinality of B is strictly greater than

### What are sets?

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

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

a jeepney ride in the sinakos 9 pesos for the first 4 kilometers and each additional km at 0.75 pesos to the fair use a piecewise function to represent the jeepney fare in terms of the distance in kilometers​

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.

If 60% of a given number is 18.0 what is 25% of the given number​

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!