Answer:
x = 18√3
Step-by-step explanation:
From the picture attached,
In a right triangle,
Measure of one angle = 30°
Measure of adjacent side of the angle = 9 units
We have to find the measure of Hypotenuse from the given properties.
By cosine rule,
cos(30°) = 


Therefore, measure of Hypotenuse is 18√3 units.
Answer:
32
Step-by-step explanation:
Answer:
Step-by-step explanation:
2x + 4 = 6x - 10
Minus 2x on both sides
4 = 4x - 10
Add 10 on both sides
14 = 4x
Divide by 4 on both sides
14/4 = x
x = 14/4
Simplify fraction
x = 7/2 or x = 3 1/2
Step-by-step explanation:



Answer:
48.16
167.68
Step-by-step explanation:
New value =
36 - Percentage decrease =
36 - (14% × 36) =
36 - 14% × 36 =
(1 - 14%) × 36 =
(100% - 14%) × 36 =
86% × 36 =
86 ÷ 100 × 36 =
86 × 36 ÷ 100 =
3,096 ÷ 100 =
30.96
New value =
262 - Percentage decrease =
262 - (36% × 262) =
262 - 36% × 262 =
(1 - 36%) × 262 =
(100% - 36%) × 262 =
64% × 262 =
64 ÷ 100 × 262 =
64 × 262 ÷ 100 =
16,768 ÷ 100 =
167.68