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Scrat [10]
3 years ago
5

A line passes through the point (8,3) and has a slope of -3/4. Write an equation in slope intercept form for this line.

Mathematics
1 answer:
Dmitry [639]3 years ago
7 0

Answer:

y = -3/4 + 9

Step-by-step explanation:

y=mx+b

3 = -3/4(8) + b

3 = -6 + b

9 = b

y = -3/4 + 9

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Find the area to the nearesy square foot of the shaded region below, consisting of a square with a circle cut out of it.
frutty [35]

Based on the calculations, the area of the shaded region is equal to 22 square foot.

<h3>How to calculate the area of the shaded region?</h3>

By critically observing the geometric shapes, the area of the shaded region can be calculated by using this formula:

Area of shaded region = Area of square - Area of circle.

<u>Note:</u> The diameter of this circle is equal to the side length of the square because the circumference of this circle lies on the circumference of the square.

Radius = diameter/2 = 10/2 = 5 feet.

For the area of square, we have:

Area of square = S²

Area of square = 10²

Area of square = 100 square foot.

For the area of circle, we have:

Area of circle = πr²

Area of circle = 3.14 × 5²

Area of circle = 78.5 square foot.

Substituting the parameters into the formula, we have;

Area of shaded region = Area of square - Area of circle.

Area of shaded region = 100 - 78.5

Area of shaded region = 21.5 ≈ 22

Area of shaded region = 22 square foot.

Read more on area of circle here: brainly.com/question/2278809

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<h3>Complete Question:</h3>

Find the area to the nearest square foot of the shaded region below, consisting of a square with a circle cut out of it. Use 3.14 as an approximation for π.

4 0
2 years ago
Washing his dad's car alone, eight-year-old Levi takes 2.5 hours. If his dad helps him, then it takes 1 hour. How long does it t
Dmitry [639]

Answer:

Levi's dad takes 1.67 hours to wash the car by himself

Step-by-step explanation:

* Lets explain how to solve the problem

- Levi takes 2.5 hours to wash his dad's car alone

- Levi and his dad take 1 hour to wash the dad's car together

∵ Levi takes 2.5 hours to wash the car alone

∴ The rate of Levi is 1/2.5 car/hr

∵ His dad takes x hours to wash the car alone

∴ The rate of his dad is 1/x car/hr

∵ They working together for 1 hour to wash the car

- The equation of the work is rate of Levi × t + rate of his dad × t = 1

∵ t is the time of working together

∵ t = 1 hour

∴ \frac{1}{2.5}(1)+\frac{1}{x}(1)=1========\frac{1}{2.5}+\frac{1}{x}=1

- Multiply both sides by 2.5x to cancel the denominators

∵ \frac{1}{2.5}(2.5x)=x=====\frac{1}{x}(2.5x)=2.5

∵ 1 × (2.5x) = 2.5x

∴ x + 2.5 = 2.5x

- Subtract x from both sides

∴ 2.5 = 1.5x

- Divide both sides by 1.5

∴ x = 5/3 ≅ 1.67

∵ x is the the time of his dad to wash the car alone

∴ Levi's dad takes 1.67 hours to wash the car by himself

3 0
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Answer:

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Step-by-step explanation:

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Solve by cross multiplying.

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The mileage is the independent variable. You can control it. The gasoline remaining DEPENDS ON the number of miles different. That's why it's called the dependent variable. It's change depends on the change in the independent variable
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A sports club rewards teams based on overall points earned in a season. The data for points are shown in the table, where Low re
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The team that should be awarded for consistent performance should be Team M. This is because the standard deviation of the team's players' scores is the lowest. Standard deviation is a measure of how much the individual data points vary from the average value, and for a consistent performance, this variation will be low.

The team with the highest average is Team N. The average is the same as the mean, and this is the highest for Team N, with a value of 13.
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3 years ago
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