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Mumz [18]
2 years ago
5

A square barn measures 42 feet on each side. A goat is tethered outside by a rope that is attached to one corner of the barn, as

shown in the bird's eye sketch.
a. suppose the length of the rope is 28 feet. How many square feet of land is the goat able to gaze

b. suppose the length of the rope is made twice as long as in part a. How many square feet of land is the goat now able go gaze

(answer both questions, not just one )
Here's an image that would help

Mathematics
1 answer:
aksik [14]2 years ago
8 0

Answer:

588 pi

Step-by-step explanation:

I only understand part a)

The goat can graze in a circle with a radius of 28 feet because that's how long his rope is. but the barn covers 1/4 of the circle, so he can't graze there.

3/4 * 28^2 pi = 588 pi

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The cheetah area at a zoo is designed in a triangular fashion, surrounded on all three sides by sidewalks. The property has 67 f
Strike441 [17]

1529.3 square unit is the area of the cheetah area at a zoo is designed in a triangular fashion, surrounded on all three sides by sidewalks, given that the property has 67 feet of frontage on one sidewalk, and 48 feet of frontage on another; these two sidewalks intersect at a 72° angle. This can obtained by using the formula of Area of a Triangle with 2 Sides and Included Angle.

<h3>Find the area of the cheetah area at the zoo:</h3>

Area of a triangle is obtained using the formula of Area of a Triangle with 2 Sides and Included Angle.

If in a triangle ΔABC,

  • 1/2 × bc × sin(A), if b and c are two sides of a triangle and angle A is the included angle
  • 1/2 × ac × sin(B), if a and c are two sides of a triangle and angle B is the included angle
  • 1/2 × ab × sin(C), if a and b are two sides of a triangle and angle C is the included angle

Here it is given that,

67 feet and 48 feet are the sides of the triangular space and angle 72° is the included angle.

By using the formula of Area of a Triangle with 2 Sides and Included Angle,

Area of the cheetah area = 1/2 × bc × sin(A)

Area of the cheetah area = 1/2 × (67)(48) × sin(72°)

sin(72°) = 0.951056516

Area of the cheetah area = 1608 × 0.951056516

Area of the cheetah area = 1529.29888 ≈ 1529.3 square unit

             

Hence 1529.3 square unit is the area of the cheetah area at a zoo is designed in a triangular fashion, surrounded on all three sides by sidewalks, given that the property has 67 feet of frontage on one sidewalk, and 48 feet of frontage on another; these two sidewalks intersect at a 72° angle.

   

Learn more about area of triangle here:

brainly.com/question/19305981

#SPJ1

7 0
2 years ago
Please help me i have 5 minutes left: )! ill give Brainliest thanks&lt;3
Vsevolod [243]

Answer:

B

Step-by-step explanation:

B

7 0
3 years ago
I WILL GIVE BRAINIEST TO THE BEST ANSWER
Natalka [10]
Domain is the values of x. x is from -5 to 7, it includes -5 ([ ] is the include symbol, but doesn't include 7, so C is the answer
6 0
3 years ago
Read 2 more answers
What is the slope?<br> First, determine the slope.<br> (200,14)<br> (225,16)
Maksim231197 [3]

Answer:

\displaystyle m=\frac{2}{25}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Slope Formula: \displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (200, 14)

Point (225, 16)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

  1. Substitute in points [SF]:                    \displaystyle m=\frac{16-14}{225-200}
  2. [Fraction] Subtract:                             \displaystyle m=\frac{2}{25}
7 0
3 years ago
The area of rectangular field is (49m2-42m+9).Find the dimensions of the field
Drupady [299]

Answer:

The dimensions are (7m-3) by (7m-3)

Step-by-step explanation:

We have the area of the rectangular field to be:

49 {m}^{2}  - 42m + 9

We need to factorize this expression.

Let us rewrite to obtain:

{(7m)}^{2}  - 2(7 \times 3)m +  {3}^{2}

We can easily see that the expression is actually a perfect square trinomial.

This gives us:

(7m - 3)^{2}

Or

(7m - 3)(7m - 3)

6 0
3 years ago
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