<u>Given</u>:
Given that ABC is a right triangle.
The length of AB is 7 units.
The measure of ∠A is 65°
We need to determine the length of AC
<u>Length of AC:</u>
The length of AC can be determined using the trigonometric ratio.
Thus, we have;

Where the value of
is 65° and the side adjacent to the angle is AC and the side hypotenuse to the angle is AB.
Substituting the values, we have;

Substituting AB = 7, we have;

Multiplying both sides by 7, we get;



Rounding off to the nearest hundredth, we get;

Thus, the length of AC is 2.96 units.
2(5x - 10) + 3x - 4
Distribute the 2:
10x - 20 + 3x - 4
Combine like Terms:
=13x - 24
Answer:
1/2 cups of apple juice David used for 1 cup of carrot juice
Step-by-step explanation:
David uses 1/4 cups of apple juice for every 1/2 cup of carrot juice to make a fruit drink.
Two 1/2 cups of carrot juice makes 1 cup of carrot juice
because 
For each 1/2 cups of carrot juice David used 1/4 cups of apple juice
For 1 cup of carrot juice , two 1/2 cups of carrot juice used
so two 1/4 cups of apple juice should be used for 1 cup of carrot juice

Answer: D
Step-by-step explanation:
An equation would look like this:
x+1=3
An expression would look like this:
x+1
As you can see, an expression has no equal sign. Conversely, an equation does. That is the primary difference between a(n) (algebraic) expression and equation.
The missing coordinate r is 11.
Solution:
Given points are (–15, 1) and (–7, r).

Slope (m) = 
<u>To find the missing coordinate r:</u>
Slope formula:

Substitute the given values in the formula.



Do cross multiplication.

40 = 4r – 4
Add 4 on both side of the equation.
44 = 4r
Divide by 4 on both side of the equation.
11 = r
⇒ r = 11
Hence the missing coordinate r is 11.