Answer:
We have a small circle, that is dilated by a factor of 5/3 creating a larger circle.
If the smaller circle has a diameter D, then after the dilation, the larger circle will have a diameter equal to: (5/3)*D
We know that the area of the larger circle is:
A = 100*pi cm^2.
And the area of a circle of diameter d, is:
a = pi*(d/2)^2
knowing that the diameter of the large circle is (5/3)*D, we can find the value of D.
A = pi*( (5/3)*D/2)^2 = 100*pi cm^2
let's solve this for D:
pi*( (5/3)*D/2)^2 = 100*pi cm^2
( (5/3)*D/2)^2 = 100 cm^2
( (5/3)*D/2) = √(100 cm^2) = 10cm
D/2 = (3/5)*10cm
D = 2*(3/5)*10cm = 12cm.
Then the area of the smaller circle will be:
a = pi*(D/2)^2 = pi*(12cm/2)^2 = pi*(6cm)^2 = pi*36 cm^2
and pi = 3.14
a = pi*36 cm^2 = 3.14*36cm^2 = 113.04 cm^2
Answer:
The length of XZ is 15 miles.
Step-by-step explanation:
Use Pythagorean Theorem to solve this problem
9² + 12² = C² Simplify the squares
81 + 144 = C² Add on the left side
225 = C² Take the square root of both sides
15 = C
If this answer is correct, please make me Brainliest!
Answer:
The value of the discriminant = 132
Step-by-step explanation:
4x^2 - 2x - 8 = 0
Using the discriminant
b^2 - 4ac
a = 4
b = -2
c = -8
Using the coefficients with also adding the signs before each
Insert the values
b^2 - 4ac
= (-2)^2 - 4 * 4 * (-8)
= 4 - 4 *4 * -8
= 4 - 16 * -8
= 4 - -128
= 132
The value of the discriminant is 132
Answer:
4 inches < X < 6 inches because it says that 1 side of the triangle is 4 inches and the other side of the triangle is 6 inches.
Leslie will need 5 eggs to make 10 dozen cookies
