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k0ka [10]
2 years ago
8

1. A farmer needs to enclose a section of land in the shape of a parallelogram by using one side of a barn for one side. The bar

n and the side opposite of the barn will both be 9 feet long. One of the other sides will be 7 feet long. What is the length of the last side? (Circle the correct answer.) A. 2 feet B. 16 feet C. 9 feet D. 7 feet​
Mathematics
1 answer:
Elena L [17]2 years ago
5 0
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The altitude of an equilateral triangle is 15. What is the length of each side?
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An equilateral triangle is a triangle where all sides are of equal lengths. So, the angles are of equal values as well which is 60. We use the angle and the height of the triangle to determine the side length. We do as follows:

tan (60) = 15 / base/2
base = 10√3 = side length
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Is 50 a rational or irrational number
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50 is a rational number because it can be expressed in two integers; 50 ÷ 1

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2 The area of the back yard is 72m. The length is 12m. What is
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3. No, she has 2.8ft of fabric. She is 2.2 yards short... :)
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3 years ago
In parallelogram ABCD, the length of BC=3x-1, CD=2x, and AD=x+5. Find the perimeter of ABCD
yarga [219]

Answer:

Step-by-step explanation:

BC=AD

3x-1=x+5

3x-x=5+1

2x=6

x=3

BC=3×3-1=8

CD=2x=2×3=6

perimeter=2(8+6)=2(14)=28

6 0
3 years ago
Suppose that you are headed toward a plataeu 70m high. If the angle of elevation to the top of the platau is 35 degree how far a
SIZIF [17.4K]

Answer:

The distance you are from the base of plateau = 99.97\ m\approx 100\ m

Step-by-step explanation:

Given:

Height of plateau = 70 m

Angle of elevation to the top of plateau = 35°

To find the distance you are from the base of plateau.

We will construct a triangle ABC to model the given situation. The triangle would be a right triangle for which we know an angle and its opposite side. We need to find the adjacent side of the triangle.

We will apply trigonometric ratio to find the adjacent side.

\tan\theta=\frac{Opposite\ Side}{Adjacent\ Side}

where \theta represents the angle of reference.

Plugging in the values from the triangle.

\tan 35\° =\frac{BC}{AC}

\tan 35\° =\frac{70}{AC}

Multiplying both sides by AC.

AC\times \tan 35\° =AC\times \frac{70}{AC}

AC\times \tan 35\° =70

Dividing both sides by \tan 35\°

\frac{AC\times \tan 35\°}{\tan 35\°} =\frac{70}{\tan 35\°}

∴ AC=99.97\ m\approx 100\ m

The distance you are from the base of plateau = 99.97\ m\approx 100\ m

7 0
3 years ago
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