Answer:
1- d
2- a
3- d
4- b
Step-by-step explanation:
Answer:
Step-by-step explanation:
Step-by-step explanation:
Area for a right angle triangle = 1/2 bh
b = Base
h = Height
A = 1/2×bh
= 1/2 × 2c^3d^2 × 4c
= (2c^3d^2 × 4c) / 2
= c^3d^2 × 2c
= 2c^4 × d^2
Use the sine law: sinB/b = sinA/a
SinB = b*sinA/a
sinB = 3*sin120° /8
∠ B = 18.94° ≈ 19°
ANSWER
C. 64.29
EXPLANATION
The bigger right triangle is similar to the smaller right triangle, therefore
![\frac{30}{14} = \frac{z}{30}](https://tex.z-dn.net/?f=%20%5Cfrac%7B30%7D%7B14%7D%20%20%3D%20%20%5Cfrac%7Bz%7D%7B30%7D%20)
Multiply both sides by 30;
![30 \times \frac{30}{14} = \frac{z}{30} \times 30](https://tex.z-dn.net/?f=30%20%5Ctimes%20%20%5Cfrac%7B30%7D%7B14%7D%20%20%3D%20%20%5Cfrac%7Bz%7D%7B30%7D%20%20%5Ctimes%2030)
Simplify
![z = \frac{900}{14}](https://tex.z-dn.net/?f=z%20%3D%20%20%5Cfrac%7B900%7D%7B14%7D%20)
![z = 64.28571429](https://tex.z-dn.net/?f=z%20%3D%2064.28571429)
We correct to the nearest hundredthth to obtain,
![z = 64.29](https://tex.z-dn.net/?f=z%20%3D%2064.29)
The correct choice is C.