A train travels at a constant speed of 35 mi/h.

Find the values of x and y for which the lines are parallel.

prisoha [69]

This problem is accompanied by a figure.

You can infere these relationships from the figure

(x-5)° = 74° => x = 74 + 5 = 79°

(x-5)° + 58° + (y-1)° = 180 ° => 74 + 58 + y-1 = 180 =>

y = 180 + 1 - 58 - 74 = 47°

Answer: x = 79°, y = 47°. This is the option d)

5 0

2 years ago

The volume of a prism is the product of its height and area of its base, V = Bh. A rectangular prism has a volume of 16y4 + 16y3

Zepler [3.9K]

Answer:

We have a prism with a volume of 16y⁴ + 16y³ + 48y² cubic units.

Its volume is equal to the area of its base times its height.

Of course, for those to be the base area and height of this prism, they would have to multiply to 16y⁴ + 16y³ + 48y² cubic units.

Let's test each of these answers to see which gives us the correct volume.

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a base area of 4y square units and height of 4y² + 4y + 12 units

We find the volume by multiplying the base area by the height...

4y(4y² + 4y + 12)

Distribute the 4y to each term inside the parentheses.

16y³ + 16y² + 48y

This is not the right volume, so these can not be dimensions of our prism.

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a base area of 8y² square units and height of y² + 2y + 4 units

We find the volume by multiplying the base area by the height...

8y²(y² + 2y + 4)

Distribute the 8y² to each term inside the parentheses.

8y⁴ + 16y³ + 32y²

This is not the right volume, so these can not be dimensions of our prism.

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a base area of 12y square units and height of 4y² + 4y + 36 units

We find the volume by multiplying the base area by the height...

12y(4y² + 4y + 36)

Distribute the 12y to each term inside the parentheses.

48y³ + 48y² + 432y

This is not the right volume, so these can not be dimensions of our prism.

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a base area of 16y² square units and height of y² + y + 3 units

We find the volume by multiplying the base area by the height...

16y²(y² + y + 3)

Distribute the 16y² to each term inside the parentheses.

16y⁴ + 16y³ + 48y²

The volume fits, so these could be the base area and height of our prism.

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D. a base area of 16y² square units and height of y² + y + 3 units

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Step-by-step explanation:

7 0

3 years ago

9. Lindsey Banks is a senior who earned $3,500 working at the local bakery. Her employer deducted $380 in

vampirchik [111]

the answer is

B.

Stacy’s employer is withholding too little for state income tax.

6 0

3 years ago

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Each floor of a hotel as r rooms. On 8 floors, there are a total of 256 rooms. Write an equation to represent this situation

Natalka [10]

Answer:

256/8 = r

Step-by-step explanation:

256 room between 8 floors so divide the number of rooms by each floor to work out r

256 divided by 8 equals r

3 0

3 years ago

The scatterplot shown includes the (blue) least-squares regression line, whose equation is y = .975 + .005x, where y is calories

ziro4ka [17]

The scatterplot shown includes the (blue) least-squares regression line, whose equation is y = .975 + .005x, where y is calories (in thousands) and x is years after 1960. Choose the correct statement.

Answer: In the given regression equation, the calories are in thousands. Therefore, the slope 0.005 (0.005 x 1000 =5 calories) means the consumption is increasing at a rate of 5 calories per year.

Hence the option a. Consumption is increasing at a rate of 5 calories per year. is correct

4 0

3 years ago

Read 2 more answers