You are deciding between two cars with different engines and want the bigger

Vance is designing a garden in the shape of an isosceles triangle. The base of the garden is 30 feet long. The function y = 15 t

Sever21 [200]

Answer:

Part 1) The height of the triangle when θ = 30° is equal to $8.66\ ft$

Part 2) The height of the triangle when θ = 40° is equal to $12.59\ ft$

Part 3) The area of triangle with θ = 30° is less than the area of triangle with θ = 40°

Step-by-step explanation:

Part 1) What is the height of the triangle when θ = 30 ° ?

we have

$y=15tan(\theta)$

substitute the value of theta in the equation and find the height

$y=15tan(30\°)=8.66\ ft$

Part 2) What is the height of the triangle when θ = 40 ° ?

we have

$y=15tan(\theta)$

substitute the value of theta in the equation and find the height

$y=15tan(40\°)=12.59\ ft$

Part 2) Vance is considering using either θ = 30 ° or θ = 40 ° for his garden

Compare the areas of the two possible gardens

step 1

Find the area when θ = 30 °

The height is $8.66\ ft$

Remember that the area of a triangle is equal to the base multiplied by the height and divided by two

so

$A=(1/2)(30)(8.66)=129.9\ ft^{2}$

step 2

Find the area when θ = 40°

The height is $12.59\ ft$

Remember that the area of a triangle is equal to the base multiplied by the height and divided by two

so

$A=(1/2)(30)(12.59)=188.85\ ft^{2}$

Compare the areas of the two possible gardens

The area of triangle with θ = 30° is less than the area of triangle with θ = 40°

7 0

2 years ago

Need answer ASAP <br> *MARKING BRAINLIEST

Sveta_85 [38]

Answer:

72

Step-by-step explanation:

The area of a polygon is sidelength * apothem * # of sides* (1/2)

That means the area is: 6 * 4 * 6 * (1/2) = 72

4 0

3 years ago

Read 2 more answers

tickets to the country fair cost $8 each. Seventy people bought their tickets at the gate. The revenue ticket sales was $ 2,560.

Gelneren [198K]

Answer:

70 people

Step-by-step explanation:

It literaly says it in the question.

5 0

3 years ago

Please help <br> I will mark brainlist

Naya [18.7K]

Answer:

B x = sqrt(48)

Step-by-step explanation:

Half of the bottom side measures 4.

4^2 + x^2 = 8^2

16 + x^2 = 64

x^2 = 48

x = sqrt(48)

Answer: B x = sqrt(48)

4 0

3 years ago

The probability distribution for a random variable x is given in the table. -5 -3 -2 0 2 3 Probability .17 .13 33 16 11 10 Find

IgorLugansk [536]

Answer:

0.79

Step-by-step explanation:

add up the probability that is less than or equal to 0, which is 0.17+0.13+0.33+0.16 = 0.79

5 0

3 years ago