Answer: 29.7 degrees
Step-by-step explanation:
Good, I can see the diagram now!
First calculate circumference of the circle.
C=2πr
C=2π(27)
C=54π in ==> 360 degrees
54π/14=12.11757
360/12.11757=
29.709=29.7 degrees
Given:
• AD = 3
,
• DC = 27
,
• BD = x + 3
Let's solve for x.
To solve for x, apply the altitude formula:

Where BD is the altitude.
Cross multiply:

Plug in the values and solve for x:

Take the square root of both sides:

Therefore, the value of x is 6 .
ANSWER:
d. 6
Answer:
Sheila had 24 cupcakes, she gave 1/3 of them to Caleb. How many cupcakes did she give to Caleb?
Step-by-step explanation:
24 x 1/3 = 8
She gave 8 cupcakes to Caleb.
Answer:
The change in the area of the rectangle is 0 square feet
Step-by-step explanation:
To solve this problem we have to calculate the area of the two rectangles that give us
first we have to know the formula to calculate the area of a rectangle
a = area
l = length = 12ft
w = width = 5ft
a = l * w
we replace the known walues
a = 12ft * 5ft
a = 60ft²
we do the same with the other rectangle, but first we have to calculate its sides
w = 5ft - (5ft * 20/100)
w = 5ft - 1ft
w = 4ft
l = 12ft + (12ft * 25/100)
l = 12ft + 3ft
l = 15ft
a2 = 15ft * 4ft
a2 = 60ft²
to calculate the change in the area we subtract (a - a2)
a - a2 =
60ft² - 60ft² = 0ft²