Answer:
x = 9
y = 9√3 = 15.6
Step-by-step explanation:
The triangle given is a right triangle, therefore:
✔️apply trigonometric ratio formula to find x:
Reference angle = 60°
Hypotenuse = 18
Adjacent = x
Thus:
Cos (60) = x/18
Multiply both sides by 18
18×cos(60) = x
9 = x
x = 9
✔️find y by applying pythagorean theorem:
y² = 18² - x² (pythagorean theorem)
y² = 18² - 9² (substitution)
y² = 243
y = √243
y = √(81*3)
y = 9√3 = 15.6
Answer:

Step-by-step explanation:
Given expression:



Replace 900 with 30² :




(We need to use the absolute value of √x² since the x term was originally to the power of 2, which means the value of x² is always positive since the exponent is even).


Simplify:

(We need to use the absolute value of z³ since the z term was original to the power of 6, which means the value of z⁶ is always positive since the exponent is even).
Answer:
8 1/3 cakes
Step-by-step explanation:
Step 1:
1 : 18 Ratio
Step 2:
1 : 18 = x : 150 Proportion
Step 3:
150 = 18x Multiply
Step 4:
150 ÷ 18 = x Divide
Answer:
x = 8 1/3
Hope This Helps :)
Answer:
0.8
Step-by-step explanation:
To calculate the cost of any item per pound, divide the cost of the item by its weight in pounds: cost ÷ pounds = cost per pound.
Hope This Helped!!
Answer:
the faster cyclist was going 18 mph
the slower cyclist was going 9 mph
Step-by-step explanation:
72 ÷ 4 = 18
18 ÷ 2 = 9