Answer:
15.8 cm²
Step-by-step explanation:
Please see attached photo for diagram.
We'll begin by calculating the angle A. This can be obtained as follow:
B = 56°
C = 78°
A =?
A + B + C = 180 (Sum of the angle in triangle)
A + 56 + 78 = 180
A + 134 = 180
Collect like terms
A = 180 – 134
A = 46°
Next, we shall determine the value of b by using the sine rule. This can be obtained:
Side opposite angle C (c) = 7.2 cm
Angle C = 78°
Angle B = 56°
Side opposite angle B (b) =?
b/Sine B = c/sine C
b/Sine 56 = 7.2/Sine 78
Cross multiply
b × Sine 78 = 7.2 × Sine 56
Divide both side by Sine 78
b = 7.2 × Sine 56 / Sine 78
b = 6.1 cm
Finally, we shall determine the area of the triangle. This can be obtained as follow:
Side opposite angle C (c) = 7.2 cm
Side opposite angle B (b) = 6.1 cm
Angle A = 46°
Area (A) =?
A = ½bcSineA
A = ½ × 6.1 × 7.2 × Sine 46
A = 15.8 cm²
Therefore, the area of the triangle is 15.8 cm²
Answer:
$37.50
Step-by-step explanation:
If 50 apples cost $25 to find the cost of 1 apple, we divide the total cost by the total number of items. In this case, we do 25/50.
One apple costs 0.50. If we need 75 apples then we simply multiply 0.50 by 75 which gets us 37.50.
Answer:
y = 45°
Step-by-step explanation:
4 sides = 360°
(2y+1)° + y° + 112° + 112° = 360°
2y + y = 360 - 112 - 112 - 1
3y = 135
y = 135÷3
= 45°
Answer:
Person A paints the house in 12 days.
person B paints the house in 60 days.
Step-by-step explanation:
The together rate is the sum of each separate rate.
Person A can paint the neighbor's house 5 times as fast as Person B.
This means that the rate of person A is 1/x, and the rate of person B is 1/5x.
The year A and B worked together, it took them 10 days.
This means that:
Multiplying everything by 10x
This means that:
Person A paints the house in 12 days.
person B paints the house in 60 days.
Answer:
D. 274
Step-by-step explanation:
divide 1787 by 6.5 yds to get the answer, 274.
