Answer:
2.30
Step-by-step explanation:
The side of interest is opposite the given angle, and the hypotenuse is given. The sine relation tells you ...
sin(A) = a/c
a = c·sin(A) = 3·sin(50°)
a = BC ≈ 2.2981 ≈ 2.30
Answer: x = 
Step-by-step explanation:
= 
1/27 can be written in index form as 
The equation then becomes:
= 
Equating the coefficient
4x - 5 = -3 ( 2x + 10)
4x - 5 = -6x - 30
10x = -30 + 5
10x = -25
x = -25/10
x = -5/2
x = - 2.5
Answer:
Diagram attached
AJ = 8.75 in.
Step-by-step explanation:
Since triangles HBA & HKJ are similar,
BH/AH = KH/JH
3 in /5.25 in = 8 in /JH
JH = 14 in
JA = JH - AH = JH - 5.25 in = 8.75 in
HJ = 14 in.
AJ = 14 in - 5.25 in
AJ = 8.75 in.
Answer:
x = 90°
y = 43°
Step-by-step explanation:
We know that one angle equals 47°.
The two triangles are right triangles, so that makes x = 90°.
To find y, we add 90 + 47.
That would give us 137°.
All triangles add up to 180°.
180 - 137 = 43.
43° is the answer.