The length of a rectangular frame is 15 inches, and the width of the frame is 8 inches. What is

From the hay loft door, Ted sees his dog on the ground. The angle of depression of the dog is 40º. Ted's eye level is 16 feet ab

Vlad1618 [11]

Answer: 19 feet

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.

Tan α = opposite side / adjacent side

Where α is the angle of depression of the dog, the opposite side (16) is Ted's eye level above the ground, and the adjacent side (x) is the distance between the dog and the barn door.

Replacing with the values given:

tan40 = 16/x

Solving for x

x =16/tan40

x= 19 ft

Feel free to ask for more if needed or if you did not understand something.

5 0

3 years ago

Give the area of one of the triangles followed by the area of the small inner square separated by a comma. Express your answers

Ket [755]

The full question is: Given that the side of the square has a length b−a, find the area of one of the four triangles and the area of the small inner square.

Give the area of one of the triangles followed by the area of the small inner square separated by a comma. Express your answers in terms of the variables a and b.

Answer: (b-a)^2, {(b-a)^2}/4

Step-by-step explanation:

One side of the big square = b-a, therefore,

(total area of big square =(b-a)^2

The four inner triangles are equal because they are divided by diagonal lines of a square. So area of one triangle will be: area of square/4. So,

Area of each of 4 inner triangles= ( {b-a)^2} /4

From the image attached, I've drawn the diagram to reflect what the question is saying. The sides of the small inner square are connected by mid points of inner triangle sides.

By symmetry, we can tell that the area of this small square would be a quarter of that of the big square seeing that the sides of this small square will be half of the side of the big square.

Therefore, area of small square =

{(b-a)^2}/4

4 0

4 years ago

Hello Everyone! If you are having any difficulties in Math book D1 and D2, then do tell me in the channel discussion section. I'

Mademuasel [1]

Answer:

h

Step-by-step explanation:

b

4 0

3 years ago

PLEASE HELP IM SUPER STUCK

lara31 [8.8K]

Replace x with the value in the table and solve for y

-3: 2(-3)/3 + 4 = -6/3 + 4 = -2+4 = 2

0: 2(0)/3 +4 = 0/3 + 4 = 0+4 = 4

3: 2(3)/3 + 4 = 6/3 + 4 = 2 + 4 = 6

6: 2(6)/3 + 4 = 12/3 + 4 = 4+4 = 8

7 0

2 years ago

Read 2 more answers

Solve for x. x + 1/2 = 3/4

Burka [1]

Answer:

x=1/4

Step-by-step explanation:

you would take a away 1/2 from each side so it would look like this

x+1/2=3/4

x=3/4-1/2

and 3/4-1/2 is 3/4-2/4=1/4

x=1/4

4 0

3 years ago