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PSYCHO15rus [73]
3 years ago
5

What is the relationship between angle 8 and angle 4

Mathematics
1 answer:
bulgar [2K]3 years ago
4 0

Answer:

Corresponding angles.

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A woman wishes to rent a house within 9 miles of her work. If she lives x miles from her work, her transportation cost will be c
I am Lyosha [343]

Answer:

the woman has to live 1 mile from work to minimize the expenses

Step-by-step explanation:

Given the data in the question;

the distance within 9 miles ⇒ 0 < x > 9

Total costs Q = cx + 4c/( x + 1)

costs should be minimum  ⇒ dQ/dx = 0

⇒ d/dx [ cx + 4c/( x + 1) ] = 0

⇒ ( x + 1)² = 4

take square root of both side

√[ ( x + 1)² ] = √4

x + 1 = 2

x = 2 - 1

x = 1

Therefore, the woman has to live 1 mile from work to minimize the expenses

5 0
3 years ago
You look at real estate ads for houses in Naples, Florida. There are many houses ranging from $200,000 to $500,00 in price. The
cricket20 [7]

Answer:

c) skewed to the right.

Step-by-step explanation:

We need to remember that is a distribution is skewed to the right then we have the following condition satisfied:

Mode< Median

And if is skewed to the left then we have:

Mean

If the distribution is symmetric we need to satisfy:

Mean = Median=Mode

For this case since we have most of the values between 200000 and 500000 when we put atypical values like 15000000 that would affect the sample mean and on this case the sample mean would larger than the sample median because the median is a robust measure of central tendency not affected by outliers.

So for this special case we can say that the Mean>Median. And probably the median would be higher than the mode so then we can conclude that the best answer for this case would be:

c) skewed to the right.

5 0
3 years ago
I need the volume for 9,11,and 13
mihalych1998 [28]

Hey there!

<h3>Question 1</h3>

Let's use 3.14 for pi during this. It'll make it a lot easier.

The volume for a cone is \pi r^{2} \frac{h}{3}.

The diameter of this cone is 17.6 inches. Since the radius is half the diameter, we can find the radius by dividing this amount by 2.

17.6 ÷ 2 = 8.8

The height of this cone is 23.4 inches.

Plug the values into the equation.

\pi 8.8^{2} \frac{23.4}{3}

Next, square 6.8 and divide 23.4 by 3. Also, replace the pi symbol with 3.14.

3.14 * 77.44 * 7.8

Multiply the numbers together.

<u>The volume of this cone is approximately 1896.66 cubic inches.</u>

<h3>Question 2</h3>

Finding the volume of a trapezoidal prism can be done by finding the are of the trapezoidal face and multiplying it by the depth.

Formula for finding the area of a trapezoid is a = \frac{1}{2} h(b_{1} +b_{2} )

The two bases are 10 and 34, and the height is 24.7 feet. Put these values into the equation.

a = \frac{1}{2} 24.7(10 +34 )

Add 10 and 34, then multiply it by 24.7 and 1/2.

a = 543.4

Multiply that value by 19, which is the depth of the figure.

<u>The volume of the prism is 10324.6 cubic feet.</u>

<h3>Question 3</h3>

The formula for volume of a triangular pyramid is v = 1/3ah, with a the area of the base and h the height.

The formula for the area of an equilateral triangle, which is the base, is a = \frac{\sqrt{3} }{4} s^{2}

The length of the side is 12, so we can square that to get 144.

Now multiply that by \frac{\sqrt{3} }{4} to get the area of the base.

The area of the base is about 62.35 square meters.

The height of the pyramid is 20 meters. Plug that and the area of the base into the equation.

v = 1/3 x 62.35 x 20

Multiply the numbers together to get the volume.

<u>The volume of the pyramid is approximately 415.67 cubic meters.</u>

Hope this helps!

3 0
3 years ago
Kelly practiced her flute for 30 minutes a day for 9 days. How many total minutes did she practice?
Lesechka [4]
she practice 270 minutes
7 0
3 years ago
Read 2 more answers
What is the approximate length of arc s in the circle below? Use 3.14
soldi70 [24.7K]
Length of the arc = radius x θ = 8 x 45 x π/180
                            = 8 x π/4 = 2π = 6.28 in ~ 6.3 in
6 0
3 years ago
Read 2 more answers
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