Answer:
Given the statement: Square root 300c^9 = 10c^x square root 3 c
⇒
Squaring both sides we get;
Simplify:
We know:
then;
Divide both sides by 300 we get;
On comparing both sides we have;
Subtract 1 from both sides we get;
8 = 2x
Divide both sides by 2 we have;
x = 4
Therefore, for the value of x =4 the given statement is true.
Answer:
D.) 11.8 cm
Step-by-step explanation:
The short side has length ...
5·sin(30°) = 2.5
The long side has length ...
5·cos(30°) ≈ 4.33
The sum of all side lengths is ...
5 + 2.5 + 4.33 = 11.83 . . . . cm
The perimeter is about 11.8 cm.
_____
The mnemonic SOH CAH TOA can help you remember the relationship between trig functions and side lengths:
Sin = Opposite/Hypotenuse ⇒ Opposite = Hypotenuse × Sin
Cos = Adjacent/Hypotenuse ⇒ Adjacent = Hypotenuse × Cos
The 3 is .3, or 3 tenths, because the 3 is in the tenths place
We know that the width of the garden is = feet = 6.75 feet
and Perimeter of the garden is = 37.5 feet
Also, we know that for a rectangular space perimeter = 2 * (l + w)
⇒ 37.5 = 2 * (l + 6.75)
⇒ 37.5 = 13.5 + 2*l
⇒ 24 = 2*l
⇒ l = 12 feet
Now, we need to determine how much square feet of mulch is required, hence we need to calculate the area of the garden
Area = l * w
⇒ Area = 12 * 6.75
⇒ Area = 81 square feet
Hence, they require 81 square feet of mulch
Answer:
32 km / hr
Step-by-step explanation:
930 to 1015 is 45 min = .75 hr
24 km / .75 hr = 32 km /hr