Answer:
x = 2.5
Step-by-step explanation:
2x - 11 = -8x + 14
Add 8x to both sides
10x - 11 = 14
Add 11 to both sides
10x = 25
Divide both sides by 10
x = 2.5
A right triangle is formed with the ladder as the hypotenuse. Since the angle made by the ladder with with ground is given, we can use trigonometric functions to solve for the height of the house.
If we let x be the height of the house and using sine function:
sin 24 = x/30
x = 30 sin 24
x = 12.20 ft
Therefore, the house is 12.20 ft tall
Answer:
<h3>
x = 5 units</h3>
Step-by-step explanation:
area of a triangle = 1/2 base * height
where area = 10 units²
height = x units
base = 4
<u>plugin values into the formula:</u>
10 = 1/2 * 4 * x
x =<u> 10 (2) </u>
4
x = 5 units
Answer:
Exponential growth of 7%
Step-by-step explanation:
We are given the function:
A function is shown: f(x) = (1.07)^x
We can compare this to a formula of Exponential Growth
y = a(1 + r)^x
Hence:
1 + r = 1.07
r = 1.07 - 1
r = 0.07
Converting to percy
0.07 × 100
= 7%
Therefore, the function represents Exponential growth of 7%
Given:
In triangle ABC, 
.
To find:
The angle of depression from point A to point C.
Solution:
According to angle sum property, the sum of all interior angles of a triangle is 180 degrees.
In triangle ABC,
We know that if a transversal line intersect the two parallel lines, then alternate interior angles are equal. So, the angle of depression from point A to point C is equal to the measure of angle C in triangle ABC.
Therefore, the angle of depression is 24 degrees.
