Yes, they both are rectangles
In order for a shape to be similar they have to have their corresponding angles congruent, and have the ratio of lengths of their corresponding sides be equal
The value of x will be equal to 33.94 units.
<h3>What is trigonometry?</h3>
Trigonometry is the branch of mathematics that set up a relationship between the sides and angle of the right-angle triangles.
Given that:-
Given that the radius of the circle is 12 units which are PO = 12 and OR = 12, QR = x , ∠O = 60 So ∠Q = 30.
First, we will calculate the Length OQ by angle property in triangle OQR.
OQ - 12 = 24
OQ = 36
Now applying the Pythagorean theorem in the triangle OQR.
H² = P² + B²
36² = 12² + x²
x² = 1296 - 144
x = √1152
x = 33.94
Therefore the value of x will be equal to 33.94 units.
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Answer:
Step-by-step explanation:
Use the slope-intercept form
y
=
m
x
+
b to find the slope m and y-intercept b
.
Not Linear
Answer: 18 quarts
Step-by-step explanation: If there are 72 cups of apple juice, there are 18 quarts.
4 cups = 1 quart
72 cups / 4 = 18
18 quarts
Answer:
Area=14.28 Perimeter= 14.28
Step-by-step explanation:
Area of a circle = (3.14) * r^2
radius = diameter/2
radius = 4/2
r = 2
A = (3.14) * 2^2
A = (3.14) * 4
A = 12.57
since it's a half circle though, 12.57/2 = 6.29
the area of the rectangle is bh, 4*2 = 8
6.29 + 8 = 14.28
area = 14.28
perimeter of a circle, or circumference = 2(3.14)r
C = 2(3.14) * 2
C = 6.28 * 2
C = 12.57
but again, since it's a half circle, 12.57/2 = 6.29
perimeter of a rectangle = 2(l + w)
p = 2(4 + 2)
p = 2(6)
p = 12
but because the perimeter is what's on the outside, we don't count the side connecting to the circle, so it'd be 12 - 4 = 8
6.29 + 8 = 14.28
perimeter = 14.28