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3 years ago

Perimeter of a rectangle is 52 feet. If the length is 10 less than 2 times the width, what is the width?

Mathematics

1 answer:

ella [17]3 years ago

6 0

Step-by-step explanation:

Let the width be x feet.

Therefore, length = 2x - 10

Perimeter of rectangle = 52

$2(2x - 10 + x) = 52 \\ 2(3x - 10) = 52 \\ \therefore \: 3x - 10 = \frac{52}{2} \\ \therefore \: 3x - 10 = 26\\ \therefore \: 3x = 26 + 10\\ \therefore \: 3x = 36 \\ \therefore \: x = \frac{36}{3} \\ \therefore \: x = 12 \\ \purple{ \boxed{\therefore \: width \: of \: rectangle = 12 \: feet }}$

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Philip walked a total of 8 kilometers by making 2 trips to school. After 3 trips to school, how many kilometers will Philip have

vekshin1

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3 years ago

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A triangle has one angle that measures 70 degrees, one angle that measures 42 degrees, and one angle that measures 68 degrees. W

Leto [7]

Answer:

Scalene Acute Triangle

Step-by-step explanation:

The triangle above is an "acute triangle" because the measurement of each angle is less than 90°. However, there are three types of acute triangle and these are: Equilateral Acute Triangle, Isosceles Acute Triangle and Scalene Acute Triangle.

When all the angles have the same measurement of less than 90°, then it is an Equilateral Acute Triangle. If only two angles have the same measurement, it is an Isosceles Acute Triangle. If none of the angles are the same but all are less than 90°, which also means that the sides are also unequal, then it is an Scalene Acute Triangle.

The triangle above has different angle measurements of less than 90°. Therefore, it is an Scalene Acute Triangle.

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3 years ago

The table shows the average weight of animals. How many more tons does a blue whale weigh than an African elephant? Explain how

AVprozaik [17]

Answer:

The African elephant weighs 111.5 tons less than a blue whale.

Step-by-step explanation:

Given:

Animal Weight(pounds)

African Elephant 15,000

Blue Whale 238,000

Now, to find the weight of how more tons does a blue whale weigh than an African elephant.

As given, 1 ton = 2,000 pounds.

So, to convert the weight from pound to tons by dividing:

African elephant $=15000\div 2000=7.5\ tons.$

Blue whale $=238000\div 2000=119\ tons.$

Now, to get the weight of how more tons is blue whale weigh than an African elephant we subtract:

$Blue\ whale - African\ elephant$

$=119 tons-7.5tons$

$=111.5\ tons$

Therefore, the African elephant weighs 111.5 tons less than a blue whale.

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3 years ago

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serious [3.7K]

Answer (assuming it can be in slope-intercept form):

y = -x - 1

Step-by-step explanation:

When knowing the slope of a line and its y-intercept, you can write an equation to represent it in slope-intercept form, or y = mx + b format. Substitute the m and b for real values.

1) First, find the slope of the equation, or m. Pick any two points from the line and substitute their x and y values into the slope formula, $m = \frac{y_2-y_1}{x_2-x_1}$ . I chose the points (0, -1) and (-1, 0):

$m = \frac{(0)-(-1)}{(-1)-(0)} \\m = \frac{0+1}{-1-0} \\m = \frac{1}{-1} \\m = -1$

Thus, the slope is -1.

2) Now, find the y-intercept, or b. The y-intercept of a line is the point at which the line crosses the y-axis. By reading the graph, we can see that the line intersects the y-axis at the point (0,-1), therefore that must be the y-intercept.

3) Now, substitute the found values into the y = mx + b formula. Substitute -1 for m and -1 for b:

$y = -x -1$

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3 years ago

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What's the square root of 25 in **simplest radical form**

den301095 [7]

Answer:

Step-by-step explanation:

The square Root of 25 in its simplest form means to get the number 25 inside the radical √ as low as possible.

25 is a perfect square, which means that you can simply calculate the square Root of 25 to get the answer. 5 times 5 equals 25. Thus, the square Root of 25 in simplest radical form is:

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