Answer:
54
Step-by-step explanation:
64 + 62 = 126
180 - 126 = 54
"inversely proportional," please.
z = k/x
When x is 3, z = 6; find k: 6 = k/3, or k = 18.
Then z = 18/x. When x = 12, z = 18/12 = 2/3 (answer)
Answer:
y=3/4m
Step-by-step explanation:
All proportional relationships have the form y=mx where m is the rate of change from the families donations x to the business donations y. We can find the rate of change m by substituting values we already know. We know when x=$12 then y=$9.
9=m*12
We solve for m by dividing by 12 on both sides.
m=9/12
This simplifies to 3/4 so
m=9/12=3/4.
The equation is y=3/4m
70.1 ft² of fabric is needed by Lacy to make the sail boat.
<h3>
Trigonometric ratio</h3>
Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let b represent the base of the triangle and h the height, hence:
sin(60) = h / 18
h = 15.6 feet
sin(30) = b / 18
b = 9 feet
The area of triangle = (1/2) * b * h = 0.5 * 9 * 15.6 = 70.1 ft²
70.1 ft² of fabric is needed by Lacy to make the sail boat.
Find out more on Trigonometric ratio at: brainly.com/question/6459892
Answer:
y = -3x
Step-by-step explanation: