Answer:
C) 169 square units
Step-by-step explanation:
The formula for the area of a square is A = a² where a is one side of the square.
To find the length of one side of the square, use the distance formula for two points. I will use the points (-8, 3) and (4, 8).
d = √((x₂ - x₁)² + (y₂ - y₁)²)
d = √((4 - (-8)² + (8 - 3)²)
d = √((12)² + (5)²)
d = √(144 + 25)
d = √(169)
d = 13
Now since all of the sides of the square equal that value (13), plug it into the area formula.
Area = a²
Area = 13²
Area = 169.
Answer:
150° : 30°
Step-by-step explanation:
total ratio
5 + 1 = 6
ratio 1
180 ÷ 6 = 30
ratio 5
30 × 5 = 150
Look here in a square which is what I imagine that drawing is all the angles are 90 degrees. A rectangle would be knowing two angles is know all of them one way or another so fix your work and you should know the answer
<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.
3
pound of strawberry
Step-by-step explanation:
Given parameters:
Pounds of strawberry picked by Lexi =2 
Pounds of strawberry eaten by Lexi sister = 
Unknown:
Pound of strawberry Lexi's sister ate = ?
Solution:
This is a fraction word problem.
Let pound of strawberry eaten by Lexi's sister = K
We can establish that:
Pound of strawberry eaten by Lexi sister x K = Pound of strawberry picked by Lexi
Mathematically we have:
x K = 2 
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K =
= 
K = 3
pound of strawberry