Rita is hiking along a trail that is 13.7 miles long. So far she has hiked along one-tenth of the trail. How far has Rita hiked?

What is the circumference of a circle circumscribed around a rectangle with sides 7 cm and 24 cm?

Tomtit [17]

Answer:

25π cm ≈ 78.54 cm

Step-by-step explanation:

The diameter of the circumscribing circle is the diagonal of the rectangle.

You may recognize the rectangle dimensions as the numbers in the (7, 24, 25) Pythagorean triple. If not, you can compute the diagonal length from ...

d = √(7²+24²) = √(49+576) = √625 = 25 . . . . centimeters

The circumference of the circle is π times the diameter:

C = πd = 25π cm

4 0

3 years ago

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Will give Brainliest! if right!

kherson [118]

D: 36, 6 colors with 6 combinations
Multiply

6 0

3 years ago

An alarming number of U.S. adults are either overweight or obese. The distinction between overweight and obese is made on the ba

sladkih [1.3K]

Answer:

(a) The probability that a randomly selected adult is either overweight or obese is 0.569.

(b) The probability that a randomly selected adult is neither overweight nor obese is 0.431.

Step-by-step explanation:

Let A = a person is over weight and B = a person is obese.

The information provided is:

An adult is considered overweight if the BMI ≥ 25 but BMI < 30.

An obese adult will have a BMI ≥ 30.

According to the range of BMI the events A and B are independent.

P (A) = 0.331 and P (B) = 0.357.

(a)

Compute the probability that a randomly selected adult is either overweight or obese as follows:

P (A ∪ B) = P (A) + P (B) - P (A ∩ B)

= P (A) + P (B) - P (A)×P (B)

$=0.331+0.357-(0.331\times0.357)\\=0.569833\\=0.569$

Thus, the probability that a randomly selected adult is either overweight or obese is 0.569.

(b)

Compute the probability that a randomly selected adult is neither overweight nor obese as follows:

$P(A^{c}\cup B^{c})=1-P(A\cup B)=1-0.569=0.431$

Thus, the probability that a randomly selected adult is neither overweight nor obese is 0.431.

4 0

4 years ago

What is 3(b+8) in Distributive Property

bagirrra123 [75]

Answer:

3b + 24

Step-by-step explanation:

3*b=3b

3*8=24

therefore the answer is 3b+24

Hope this helps:)...if not then sorry for wasting your time and may God bless you:)

6 0

2 years ago

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Given segments AB and CD intersect at E.

nata0808 [166]

The length of a segment is the distance between its endpoints.

$\mathbf{AB = 3\sqrt{2}}$
AB and CD are not congruent
AB does not bisect CD
CD does not bisect AB

(a) Length of AB

We have:

$\mathbf{A = (1,2)}$

$\mathbf{B = (4,5)}$

The length of AB is calculated using the following distance formula

$\mathbf{AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}$

So, we have:

$\mathbf{AB = \sqrt{(1 - 4)^2 + (2 - 5)^2}}$

$\mathbf{AB = \sqrt{18}}$

Simplify

$\mathbf{AB = 3\sqrt{2}}$

(b) Are AB and CD congruent

First, we calculate the length of CD using:

$\mathbf{CD = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}$

Where:

$\mathbf{C = (2, 4)}$

$\mathbf{D = (2, 1)}$

So, we have:

$\mathbf{CD = \sqrt{(2 -2)^2 + (4 - 1)^2}}$

$\mathbf{CD = \sqrt{9}}$

$\mathbf{CD = 3}$

By comparison

$\mathbf{CD \ne AB}$

Hence, AB and CD are not congruent

(c) AB bisects CD or not?

If AB bisects CD, then:

$\mathbf{AB = \frac 12 \times CD}$

The above equation is not true, because:

$\mathbf{3\sqrt 2 \ne \frac 12 \times 3}$

Hence, AB does not bisect CD

(d) CD bisects AB or not?

If CD bisects AB, then:

$\mathbf{CD = \frac 12 \times AB}$

The above equation is not true, because:

$\mathbf{3 \ne \frac 12 \times 3\sqrt 2}$

Hence, CD does not bisect AB

Read more about lengths and bisections at:

brainly.com/question/20837270

7 0

3 years ago