The height of the parallelogram is 8 because using the pythagorean theorem, a^2+b^2=c^2
6^2+x^2=10^2
36+x^2=100
100-36=64
square root of 64=8
area of parallelogram:
a=bh
a=8*14
a=112 units ^2
hope this helps!
Answer:
1. x = 8
2. y = 1/2
Step-by-step explanation:
1. Plug the function
5x + 20(0.50) = 50
= 5x + 10 = 50
Subtract 10 from both side
= 5x = 40
Divide 5 on both sides
= x = 8
2. Plug in the function
5(8) + 20y = 50
= 40 + 20y = 50
Subtract 40 on both sides
= 20y = 10
Divide 20 both sides
= y = 10/20 | 1/2
Answer:
see explanation
Step-by-step explanation:
6 × 24 ← replace 24 by 4 + 20
= 6(4 + 20) ← multiply each term in the parenthesis by 6
= 24 + 120
= 124
Answer:
BC ≈ 14.7 m
Step-by-step explanation:
Using the Sine rule in Δ ABC
= 
To find ∠ A subtract the 2 given angles from 180°
∠ A = 180° - (90 + 28)° = 180° - 118° = 62°
Then
=
( cross- multiply )
BC × sin28° = 7.8 × sin62° ( divide both sides by sin28° )
BC =
≈ 14.7 m ( to 3 significant figures )
Answer:
CD = 3.602019190339
Step-by-step explanation:
CD = DA - CA
DA = DB×Cos(29) = 18.7×cos(29) = 16.355388523507
BA = BA×cos(43) = 18.7×cos(43) = 13.676314220278
CA = BA÷tan(47) = 13.676314220278÷tan(47) = 12.753369333168
Then
CD = 16.355388523507 - 12.753369333168 = 3.602019190339