9514 1404 393
Answer:
216.66 yd²
Step-by-step explanation:
One way to find the area of a ring like this is to multiply its centerline length by the width of the ring.
Here, the diameter of the circle that is the centerline of the ring is 23 yd. The circumference of that circle is ...
C = πd = 3.14(23 yd) = 72.22 yd
Then the ring area is ...
(72.22 yd)(3 yd) = 216.66 yd² . . . area of shaded region
Answer:
a. 60
b. 25
Step-by-step explanation:
Given that the stained glass window has an area of 900 square inches and this is made of smaller rectangular stained glass pieces, the number of smaller rectangular stained glass pieces used will be equal to the total area (900 square inches) to the area of the smaller rectangular piece.
The area A of the rectangular piece of length l and width w may be stated as
A = l * w
Hence given that
- One window design is made of rectangular stained glass pieces that are 5 inches by 3 inches, number of stained glass pieces are used in the window
= 900/(3 * 5)
= 60
- Another window design is made of square stained glass pieces that are 6 inches by 6 inches, number of stained glass pieces are used in the window
= 900/(6 * 6)
= 25
<u>Answer</u>
The simplified form of the expression is 11a.
<u>Explanation</u>
10a + a
a + a + a + a + a + a + a + a + a + a = 10a
10a plus one more a, equals 11a.
Hope I helped :)
Answer:
14/112
Step-by-step explanation:
7/16 x 2/7 = 14/112
Answer:
#1
Zeroes: x = 4, x = -6
The vertex is at ( -1 , 50 )
Step-by-step explanation:
I'll do the first one, you try the rest
All of these are written in y = a(x - x1)(x - x2) where x1 and x2 are given and x are the two different zeroes (or x-intercepts)
f(x) = -2(x-4)(x+6)
The zeroes are x - 4 = 0 and x + 6 = 0 if you solve, you get 4 and -6
Zeroes: x = 4, x = -6
The x value of the vertex can be found using -b/2a (in the form ax^2 + bx + c)
First expand f(x)
-2(x^2 + 2x - 24) => -2x^2 - 4x + 48
b = -4 and a = -2
-(-4)/2(-2) = 4/-4 = -1
the x-value of the vertex is -1
Now substitute -1 as x to find the y-value of the vertex
-2(-1-4)(-1+6) = -2(-5)(5) = 50 <= y-value of vertex
The vertex is at ( -1 , 50 )
