I need help with this as well

You see Bonnie rock climbing El Capitan. On your telescope is a clinometer. The angle

Marat540 [252]

Answer:

≈ 345.8 ft

Step-by-step explanation:

There is a right triangle formed by Bonnie's height (h) the ground and the angle of elevation.

Using the tangent ratio in the right triangle

tan20° = $\frac{opposite}{adjacent}$ = $\frac{h}{950}$ ( multiply both sides by 950 )

950 × tan20° = h , thus

h ≈ 345.8 ft ( to 1 dec. place )

8 0

3 years ago

What is the geometric mean of 2 and 8?

asambeis [7]

Answer:

The geometric mean of 2 and 8 comes out to equal 4.

Step-by-step explanation:

4 0

3 years ago

A farmer fills his field proportionately with soybeans and corn. Last year he planted 200 acres of corn and 50 acres of soybeans

malfutka [58]

Answer:

Part A) Is a directly proportional

Part B) The constant of proportionality is $k=0.25$

Part C) The equation is $y=0.25x$

Part D) $62.5$ acres of soybeans

Step-by-step explanation:

Part A) Are the number of acres of corn and the number of acres of soybeans directly proportional or inversely proportional?

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$

Let

x-----> the number of acres of corn

y----> the number of acres of soybeans

so

$y/x=k$

if the number of acres of corn increases then the number of acres of soybeans increases

if the number of acres of corn decreases then the number of acres of soybeans decreases

therefore

The relationship is a directly proportional

Part B) What is the constant of proportionality?

we have that

For x=200, y=50

substitute

$y/x=k$

$k=50/200$

$k=0.25$

Part C) Let x equal the number of acres of corn and y equal the number of acres of soybeans. Write an equation to show this relationship.

The linear equation that represent the direct variation is equal to

$y/x=k$

we have

$k=0.25$

substitute

$y/x=0.25$

$y=0.25x$

Part D) How many acres of soybeans can the farmer plant this year if he plants 250 acres of corn?

For x=250

Find the value of y

substitute in the linear equation the value of x and solve for y

$y=0.25(250)=62.5$ -----> acres of soybeans

7 0

3 years ago

I need help with these questions can someone plz help me

Dmitry [639]

c) Combine 2+3 to get 5. 100-(5x5) equals 100-25. 100-25 is 75. The answer is 75.

d) Combine 2+3 to get 5. Combine 1+4 to get 5, which is 25. The answer is 5.

g) Combine 4+6 to get 10. Combine 70+-6 to get 64. Take the root of 64, leaving you with 10-8. Combine 10 + -8 to get 2. The answer is 2.

h) Combine 5+4 to get 9. Take the root of 36, leaving you with 18 + 6. Combine 18 + 6 to get 24. The answer is 24.

5. [15 + 22 + 53] divided by [12 + 18] = [90] divided by [30] = 3 ribbons each.

6. (4 x 12) + (6 x 8) = 96 total.

4 0

3 years ago

On

olya-2409 [2.1K]

Answer:

28.75 or 28 3/4

Step-by-step explanation:

This equation is made for Long Division:

115/4

4 cannot go into 1 evenly.

4 can go into 11, 2 times.

4x2=8

11-8=3

4 can go into 35, 8 times.

35-32=3

Add a zero at the end, then divide 4 into 30.

4 goes into 30, 7 times.

30-28=2

Add another zero, then divide again.

4 goes into 20, 5 times.

20-20=0

So, after you hit an even number you can stop dividing and put in your answer.

28.75

6 0

3 years ago