Jamila has to purchase a new car and is putting

a circular frame that is 3-inches wide surrounds the mirror what I the combined area in square inches of the circular mirror and

Tcecarenko [31]

Assuming the frame is a perfect circle
and 3 inches wide indicates the diameter

area of a circle=pi times radius^2

diameter=2 times radius
radius=1/2 diameter
diameter=3
radius=1/2 times 3
radius=3/2=1.5

area=pi times 1.5^2=2.25
pi is aprox 3.14 so
2.25 times 3.14=7.065 square inches

the answer is 2.25π square inches or 7.065 square inches

3 0

3 years ago

suppose 5 men and 7 women are on a crowded elevator. at the next floor, four people get off the elevator. find the probability t

lubasha [3.4K]

The total number of arrangements for all of them to be women is:
C(7, 4) because the order does not matter; we'd still have the same arrangements.

Now, we can simplify this:
$C(7, 4) = \frac{7!}{4!(7 - 4)!}$
$= \frac{5040}{4!3!}$
$= \frac{5040}{24 \cdot 6}$
$= \frac{5040}{144} = 35$

Now, the total number of arrangements, without restriction, is simply: C(12, 4) because we don't care who we pick.

$\text{P(4 women): } \frac{35}{495} = \frac{7}{99}$

3 0

3 years ago

I need help with #18

Alexxx [7]

The ratio between the bigger triangle and the smaller triangle is 1:2, which means the smaller triangle is half the size of the bigger triangle.

You simply need to half all the values of the segments of the bigger triangle to find the values of the segments of the smaller triangle.

8/2 = x; 4 = x

6/2 = y; 3 = y

5 0

3 years ago

A piece of cardboard has the dimensions (x + 15) inches by (x) inches with the area of 60 in 2 . Write the quadratic equation th

pochemuha

Answer:

$x^2 + 15x - 60 = 0$