Answer:
x = 18√3
Step-by-step explanation:
From the picture attached,
In a right triangle,
Measure of one angle = 30°
Measure of adjacent side of the angle = 9 units
We have to find the measure of Hypotenuse from the given properties.
By cosine rule,
cos(30°) = 


Therefore, measure of Hypotenuse is 18√3 units.
So, Increase = New Number - Original Number. Therefore, Increase = 283 - 147 which equals 136.
136 = 283 - 147.
Then you want to divide the increase by the original number and multiply the answer by 100.
136/147 = 0.92
0.92 * 100 = 92.
Final Answer: The employee count has increased by 92%. I hope this helps.
6(x-2.5) ≥ 8-6(3.5+x)
A number is before a parenthesis. The first step is to multiply.
6(x-2.5) = 6x -15
8-6(3.5+x)
2(3.5+x)= 7+2x
6x-15≥7+2x
Now solve
6x-15≥7+2x
-2x -2x
(-2x+2x)= They cancel out
(6x-2x)= 4x
4x-15≥7
+15 +15
4x≥22
/4 /4
You get= x≥5.5
Step-by-step explanation:
to work out gradient
change in y ÷ change in x
first lines gradient
(7 - - 8) ÷ (7 - 7) = 0
second lines gradient
(7 - 7) ÷ (9 - - 6) = 0
(4^4 * 4^3) / 4^5 =
when multiplying exponents with the same base, add the exponents
(4^4 * 4^3 = 4^(4 + 3) = 4^7
now we have 4^7 / 4^5
when dividing exponents with the same base, u subtract the exponents.
4^7 / 4^5 = 4^(7-5) = 4^2 <===