Answer:
C) 99 in²
Step-by-step explanation:
you can divide this shape by drawing a horizontal line to create a 4x12" rectangle and a trapezoid with a height of (10-4) in and bases of 12 and 5"
area of rectangle: 12 x 4 = 48
area of trapezoid: 1/2(6)(12+5) = 3(17) = 51
total area = 48 + 51
total area = 99 in²
Answer:
The equation for the relationship is 
.
Step-by-step explanation:
Given that point 
is part of a direct relationship. That is:
(1)
Where 
is the proportionality constant.
If we know that 
and 
, then the proportionality constant is:
Lastly, the equation for the relationship is .
The answer is 9 because its an odd number, not the sides of a triangle, can be divided be 3, and is a single digit number.
Answer: The answer is C 90
Step-by-step explanation: Rotations is ¼ and the Radians is π/2
Answer:
The length of the rectangle is
12
c
m
and the area of the rectangle is
60
c
m
2
.
Explanation:
By definition, the angles of a rectangle are right. Therefore, drawing a diagonal creates two congruent right triangles. The diagonal of the rectangle is the hypotenuse of the right triangle. The sides of the rectangle are the legs of the right triangle. We can use the Pythagorean Theorem to find the unknown side of the right triangle, which is also the unknown length of the rectangle.
Recall that the Pythagorean Theorem states that the sun of the squares of the legs of a right triangle is equal to the square of the hypotenuse.
a
2
+
b
2
=
c
2
5
2
+
b
2
=
13
2
25
+
b
2
=
169
25
−
25
+
b
2
=
169
−
25
b
2
=
144
√
b
2
=
√
144
b
=
±
12
Since the length of the side is a measured distance, the negative root is not a reasonable result. So the length of the rectangle is
12
cm.
The area of a rectangle is given by multiplying the width by the length.
A
=
(
5
c
m
)
(
12
c
m
)
A
=
60
c
m
2
