Answer:
21.9°
Step-by-step explanation:
In ΔHIJ, the measure of ∠J=90°, HI = 8 feet, and JH = 1.9 feet. Find the measure of ∠H to the nearest tenth of a degree.
We solve this above question using the Sine rule
a/sin A = b/sin B
In ΔHIJ, the measure of ∠J=90°, HI = 8 feet, and JH = 1.9 feet.
Hence:
HI/∠J = JH/∠H
= 8/sin 90° = 1.9/sin ∠H
Cross Multiply
∠H = arc sin(sin 1.9 × 90/8)
∠H = 21.9°
30=8+4(z-2)
Distribute 4 through the parentheses
30=8+4z-8
Eliminate the opposites
30=4z
Swap the sides of the equation
4z=30
Divide both sides of the equation by 4
4z÷4=30÷4
Any expression divided by itself equals 1
z=30÷4
or write the division as a fraction
z=30/4
copy the numerator and denominator of the fraction
30=2x3x5
4=2x2
Write the prime factorization of 30
Write the prime factorization of 4
30=2 x3x5
4=2x2
2
Line up the common factors in both lists
Copy the common factors
Since there is only one common factor, the common factor 2 is also the greatest common factor
30÷2/4÷2
2
Divide 30 and 4 by the greatest common factor 2
15/4÷2
Divide the numbers in the numerator
15/2
Divide the numbers in the denominator
15/2
The simplified expression is 15/2
That's it. hope it wasn't too hard to understand?
Answer:
13/4
Step-by-step explanation:
To find the slope we use the equation
m= (y2-y1)/(x2-x1)
= (85-20)/(20-0)
= 65/20
= 13/4
Answer:2.8
Step-by-step explanation:add 3.5 to the 10.5 which equals 14 then you divide 5 by 14 to get the y alone and it equals 2.8
