Answer:
2,100 people
Step-by-step explanation:
~Divide to find the number of people in fifths
3,500 / 5 = 700
~Multiply to find 2/5 of the total people
700 * 2 = 1,400
~Subtract to find the number of people against building the school.
3,500 - 1,400 = 2,100
Best of Luck!
Answer:
AB = 75
BC = 60
AC = 45
m∠A = 53°
m∠B = 37°
m∠C = 90°
Step-by-step explanation:
<u>Trigonometric ratios</u>

where:
is the angle- O is the side opposite the angle
- A is the side adjacent the angle
- H is the hypotenuse (the side opposite the right angle)
Given:

Therefore:
- side opposite angle A = BC = 60
- side adjacent angle A = AC = 45
To find the length of AB (the hypotenuse), use Pythagoras’ Theorem:

(where a and b are the legs, and c is the hypotenuse, of a right triangle)
⇒ AC² + BC² = AB²
⇒ 45² + 60² = AB²
⇒ AB² = 5625
⇒ AB = √5625
⇒ AB = 75
To find m∠A:



m∠C = 90° (as it is a right angle)
The interior angles of a triangle sum to 180°
⇒ m∠A + m∠B + m∠C = 180°
⇒ 53° + m∠B + 90° = 180°
⇒ m∠B = 180° - 53° - 90°
⇒ m∠B = 37°
Answer:
x=-1
Step-by-step explanation:
Answer:
2.25
Step-by-step explanation:
substitute x = -2 into y = (2/3)^x
=> y = (2/3)^-2
=> y = 9/4 = 2.25