Answer:
b = 8
c = 16
Step-by-step explanation:
From the given right triangle,
a = 
, m(∠B) = 30°
By applying sine rule in the given triangle,
cos(B) = 
cos(B) = 
cos(30°) = 
c = 16
Further we apply tangent rule,
tan(B) = 
tan(30°) = 
b = 8
$500 x 0.12 = $60
$500 x 0.88 = $440
<span>What is the marking amount? $60
What is the selling price? $440</span>
Answer:
Area of the rectangle = 95 cm²
Step-by-step explanation:
Perimeter of the rectangle = Sum of the measures of the sides of the rectangle
From the figure attached,
Perimeter of the rectangle = 2[(3x -1) + (2x + 3)]
39 = 2(5x + 2)
39 = 10x + 4
10x = 39 - 4
10x = 35
x = 3.5
Therefore, measure of the given sides will be,
Length = (3x - 1) cm
3x - 1 = (3×3.5) - 1
= 10.5 - 1
= 9.5 cm
Width = (2x + 3) cm
2x + 3 = (2×3.5) + 3
= 7 + 3
= 10 cm
Area of the rectangle = Length × width
= 9.5 × 10
= 95 cm²
Therefore, area of the rectangle is 95 cm².
Answer:
180 houses
Step-by-step explanation:
The 3 part of the ratio 10 : 3 represents 30 bungalows, thus
30 ÷ 3 = 10 ← value of 1 part of the ratio
10 parts = 10 × 10 = 100 ← number of flats
The 5 part of the ratio 9 : 5 represents 100 flats, thus
100 ÷ 5 = 20 ← value of 1 part of the ratio, then
9 parts = 9 × 20 = 180 ← number of houses
