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3 years ago

12

Ali runs five days a week at the local park's nature trail. The circular trail is 440 yards long. Each day that Ali runs, she ru

ns 12 laps around the trail. How many miles does Ali run on the trail in one week?
A
9 miles

B
12 miles

C
15 miles

D
18 miles

1 answer:

SpyIntel [72]3 years ago

8 0

Answer:

15 miles

Step-by-step explanation:

12 * 440 = 5280 (yards every day)

5280 * 5 = 26400 (yards per week)

26400 *0.000568182 = 15 miles

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Answer:

For a scaler variable, the Gaussian distribution has a probability density function of

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Step-by-step explanation:

Gaussian distributions have similar shape, with the mean controlling the location and the variance controls the dispersion

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3 years ago

What's the area of a circle with diameter 18 units? Question 8 options: A) 9π units2 B) 81π units2 C) π units2 D) 18π units2

Anna [14]

Answer:

B) 81π units²

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right<u> </u>

<u>Geometry</u>

Radius of a Circle Formula: r = d/2

r is radius
d is diameter

Area of a Circle Formula: A = πr²

Step-by-step explanation:

<u>Step 1: Define</u>

Diameter <em>d</em> = 18 units

<u>Step 2: Manipulate Variables</u>

Radius <em>r</em> = 18 units/2 = 9 units

<u>Step 3: Find Area</u>

Substitute in <em>r</em> [Area of a Circle Formula]: A = π(9 units)²
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2 years ago

Which one is it A B C D

vovangra [49]

Answer:B

Step-by-step explanation: Alternate exterior angles theorem

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3 years ago

I answered it but I just need someone to answer just to make sure mine are right

Artemon [7]

<h2>The missing measures of the angles are:</h2>

$m\angle 1= 60^{\circ}\\\\m\angle 2= 39^{\circ}\\\\m\angle 3= 21^{\circ}\\\\m\angle 4 = 39^{\circ}\\\\m\angle 5 = 21^{\circ}$

<u>Given</u>:

$m\angle Z = 138^{\circ}$

<em><u>Note the following:</u></em>

An equilateral triangle has all its three angles equal to each other. Each angle = $60^{\circ}$ .

This implies that, since $\triangle WXY$ is equilateral, therefore, $m\angle Y = m\angle XWY = m\angle XYW = 60^{\circ}$

Base angles of an isosceles triangle are congruent to each other.

This implies that, since $\triangle WZY$ is isosceles, therefore, $m\angle 3 = \angle 5$

Applying the above stated, let's find the measure of each angle:

Find $m\angle 1$

$m\angle 1 = 60^{\circ}$ (an angle in an equilateral triangle equals 60 degrees)

Find $m\angle 2$

$m\angle 2 = 60 - m \angle 3$

$m\angle 2 = 60 -\frac{1}{2}(180 - 138)$ $(Note: \frac{1}{2}(180 - 138) = 1 $ base $ angle $ of $ \triangle WZY)$

$m\angle 2 = 60 -21\\\\m\angle 2 = 39^{\circ}$

Find $m\angle 3$ and $m\angle 5$ (base angles of isosceles triangle WZY)

$m\angle 3 = \frac{1}{2}(180 - 138) (1 $ base $ angle $ of $ \triangle WZY)$

$m\angle 3 = \frac{1}{2}(42) \\\\m\angle3 = 21^{\circ}$

$m\angle3 = m\angle 5$ (base angles of isosceles triangle are congruent)

Therefore,

$m\angle5 = 21^{\circ}$

Find $m\angle 4$

$m\angle 4 = 60 - m\angle 5$

Substitute

$m\angle 4 = 60 - 21\\\\m\angle 4 = 39^{\circ}$

The missing measures of the angles are:

$m\angle 1= 60^{\circ}\\\\ m\angle 2= 39^{\circ}\\\\m\angle 3= 21^{\circ}\\\\m\angle 4 = 39^{\circ}\\\\m\angle 5 = 21^{\circ}$

Learn more here:

brainly.com/question/2944195

5 0

3 years ago