-3(X - 8) - (x + 5)

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

3 years ago

The gravitational force produced between any two objects kept 2.5×10^4 km apart is 580 N . At what distance should they be kept

DochEvi [55]

Answer:

Formula for gravitational force F = G M1 * M2 / R^2 where G is the gravitational constant

F2 / F1 = (R1 / R2)^2 = 1/2 where F2 is the required force

R2 = (2)^1/2 R1 distance for R2 to be 1/2 force at R1

Since force is proportional to the square of the distance of separation, increasing the distance of separation by 2^2 will halve the force

7 0

3 years ago

Use the figure below for Exercises 1-8. Note that RN pierces the plane at N. It is not coplanar with V.

Serga [27]

Answer:

1. Two segments are MC and AX

2. Point N

3. Three collinear points are points A, point N and point X

4. Two other names for V are quadrilateral and rectangle

5. No N, M, and X are in a different plane from R

6. Two rays are ray NR and ray NA

7. The pair of opposite rays with end point N are ray NA and ray NX and ray NM and ray NC

8. Three lines are shown in the figure

Step-by-step explanation:

1) A segment is a line portion with two end points

2) A point marks a position

3) Collinear points are points on the same line

3) A quadrilateral is a four sided figure while rectangle has 90° interior angles

4) A ray is an line extending from a point without ending

5) Opposite rays are rays extending from the same point but in opposite directions

6) A line is a straight one dimensional geometric figure that has no width but infinite number of points extending without end in both directions

4 0

3 years ago

291.87 irrational or rational

aliina [53]

291.87 is rational since the last (decimal) numbers aren't repeating.
If it was repeating (291.877777...) it would be irrational.

4 0

3 years ago

5/10 + 1/5 = ??<br><br> Simplify answer fully

Andreyy89

Multiply the second fraction by two; which gets you 5/10 + 2/10 = 7/10

6 0

3 years ago

-3(X - 8) - (x + 5) - 23