Answer:
a = 
b= 4
Step-by-step explanation:
It's a 30-60-90 triangle based on the given picture. A right triangle too
Use sine, cosine, and tangent to solve for the side.
To find b, you can use sin(30) = b/8 because sin(angle) = opposite/hypotenuse.
OR you can use the rule for 30-60-90 triangle, which is x for short leg, 2x for hypotenuse, and
for long leg
So either way, b = 4
To find a, you can use cos(30) = a/8 because cos(angle) = adjacent/hypotenuse.
OR you can use the same rule, 30-60-90 triangle to save time
a will end up = 
Answer:
83 degrees
Step-by-step explanation:
Supplementary angles are two angles whose sums add up to 180 degrees. Since you have one angle that is 97 degrees and one that is unknown, you can just subtract 97 from 180.
180 - 97 = 83 degrees
Answer:
First number = 22
Second number = 24
Step-by-step explanation:
Let the first number = x
Let the second number = x + 2
According to the question ,
The sum of two even consecutive ingers = 46.
so,
x + x + 2 = 46
2x + 2 = 46
2x = 46 - 2
2x = 44
x = 44 / 2
x = 22
∴ FIRST NUMBER = X
= 22
SECOND NUMBER = X + 2
= 22 + 2
= 24.
Answer:
h = -8.5
Step-by-step explanation:
10.35+2.3h=-9.2
Subtract 10.35 from each side
10.35-10.35+2.3h=-9.2-10.35
2.3 h =-19.55
Divide each side by 2.3
2.3h/ 2.3 = -19.55/2.3
h =-8.5
To convert 86% to simplest form you first need to make it a decimal,
which is 0.86
then convert 0.86 to a fraction 86/100 which is not simplest form, the simplest form is 43/50
hope this helped!!