Help me solve this problem please.

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

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7 0

2 years ago

What is the quotient of the following division problem?

LekaFEV [45]

The quotient of x + 1 StartLongDivisionSymbol x squared + 3 x + 2 EndLongDivisionSymbol is x+2

Step-by-step explanation:

We need to find quotient of x^2+3x+2 divided by x+1

The division is shown in figure attached.

Quotient: x+2

Remainder: 0

The quotient of x + 1 StartLongDivisionSymbol x squared + 3 x + 2 EndLongDivisionSymbol is x+2

6 0

3 years ago

Read 2 more answers

PLEASE HELP ME ASAP - I WILL MARK AS BRAINLIEST - 20 POINTS! THANK YOU!

vampirchik [111]

I got F^-1(x) = x/4 + 4/9.

I believe the answer is B.

8 0

3 years ago

Gina saw twice as many tigers as lions at the zoo. The number of bears she saw was 7 less than the number of tigers. She saw fiv

Fynjy0 [20]

Gina saw 25 monkeys
25 ÷ 5 = 5
5 + 7 = 12
12 + 6 = 18
25 + 5 +12 + 6 = 48 animals
gina saw 48 animals at the zoo

8 0

3 years ago

I PROMISE BRAINLIST; 5-STARS; THANKS!! IT'S VERY SIMPLE; BELIEVE ME!!!!!

DochEvi [55]

Answer:

2. B

3. C

4. B

5. D

Step-by-step explanation:

2) The sequence is multiplying by -2 each time. This means that it is geometric.

The next two terms would be:

$32*-2=-64\\-64*-2=128\\128*-2=-256$

This means that the answer is B

3) The sequence is being multiplied by $\frac{1}{3}$ each time. This means that it is geometric.

The next 3 terms would be:

$3*\frac{1}{3} =1 \\\\1*\frac{1}{3} =\frac{1}{3} \\\\\frac{1}{3} *\frac{1}{3} =\frac{1}{9}$

I am assuming that the answer is C and that you were unable to type the fractions.

4) We know that the common difference is 1.5, so that is the coefficient of our variable and the starting value is 15. This means that we can write an equation as follows

$f(x)=1.5(x-1)+15$