The base of a triangle is eleven feet less than
four times its height. If the sum of the lengths of
the base and height of the triangle is 49 feet,
find the area of the triangle.

Answers

Answer 1

Answer: 129 Feet

Step-by-step explanation:

You can make an equation where Height=h, and Base=b. So going backwards with the first question, the base will equal 4 times the height: b=4h, and 11 less. b=4h-11. The the other equation will be just that the base plus the height is 49. b+h=49. Then you put that into y=mx+b form. The first equation already is, and the second equation would be b=49-h. So, since the equations equal the same things, you throw away the b. Then you make a new equation by having 4h-11 equal 49-h. Since this is true seeing as they are the same triangle. Then you just use propreties of equality for the equation. You end up with 5h=60. The. You divide 60 by 5 to make 5h just equal h. So you get h=6. Then, like the qeuation said, the base (unknown) plus the height (6) is 49. So to get from 6 to 49, the answer is 43. The formula for that area of a triangle is (base x height) /2 = area. So 43 times 6 is 258. Then divided by 2 is 129. So the area of the triangle is 129.

Answer 2

The area of the triangle is 222 square feet.

Area of a triangle

The formula for calculating the area of the triangle is expressed as:

A = 0.5bh

b is the base of the triangleh is the height of the triangle

The base of a triangle is eleven feet less than  four times its height,

b = 4h - 11

Also, if the sum of the lengths of  the base and height of the triangle is 49 is expressed as:

b + h = 49

4h-11+h = 49

5h = 49 + 11

5h = 60

h = 12

Since 4h = b + 11

4(12) = b + 11

b = 48 - 11

b = 37

A = 0.5(12)(37)

A = 222ft^2

Hence the area of the triangle is 222 square feet.

Learn more on area of triangle here: https://brainly.com/question/17335144


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Step-by-step explanation:

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Answer:

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On a grid, Label Hours Studying on x axis and Test Scores on y axis. The title of the graph is Test Scores and Hours Studying. The scale on the x axis shows the numbers from 0 to 10 at increments of 1, and the scale on the y axis shows numbers from 0 to 100 at increments of 10. Dots are made at the ordered pairs 1.1, 10 and 2, 25 and 3.1, 10.1 and 4, 30 and 4, 45 and 5, 45 and 6, 25 and 6.5, 60 and 7, 45 and 7.5, 50 and 7.5, 75 and 8, 60 and 8.5, 75 and 9, 60. The ordered pair 1, 100 is circled and labeled as M. All the other points are put in an oval and labeled as N.

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Step-by-step explanation:

Sean is cutting construction paper into rectangles for a project. He needs to cut one rectangle that is 16 inches × 15 1/4 inches. He needs to cut another rectangle that is 10 1/2 inches by 10 1/4 inches. How many total square inches of construction paper does Sean need for his project?

Answers

Answer:

the  total square inches of the construction paper is 351.63 square inches

Step-by-step explanation:

The computation of the total square inches of the construction paper is shown below;

= (16 × 15 1 ÷ 4)  + (10 1 ÷2 × 10  1 ÷ 4)

= (16 × 61 ÷ 4) +  (21 ÷ 2 × 41 ÷ 4)

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Answers

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Step-by-step explanation:

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Answer:

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Answers

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Step-by-step explanation:

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Answer:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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per·pen·dic·u·lar

/ˌpərpənˈdikyələr/

adjective

1.

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

The equation of the the line that is perpendicular to 4·x + 6·y = 1 and that has a greater intercept to the line 2·x + 3·y = 18 can be 2·y - 3·x = 14

Step-by-step explanation:

The line which is perpendicular to the required line = 4·x + 6·y = 1

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Solution;

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∴ y = 1/6 - (2/3)·x

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y = -(2/3)·x + 6

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c = 6

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∴ The equation of the line can be 2·y - 3·x = 14.

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Step-by-step explanation:

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