The slope of the line (2,2) and (6,10)

1. A boat drifted 15 m out into the water off Ocean Beach, where the shore drops off

Lunna [17]

The correct responses found using trigonometric ratios are as follows;

Brooke's cannot bring the boat back without getting water over her boots.
The plan will not be approved
The plane will not disturb
The company can not use the chimney legally
The Long company will build the bridge
The fireman can reach her.
The lift does not take the skiers up to the bar.
Eric will be able to see his Dad's plane.
The 73 m. brace

<h3>How can trigonometric ratios be used to find the right responses?</h3>

1. The depth of the water = 15 × tan(4°) = 1.049 m

The height of Brooke's boot = 1 m

Therefore;

Brooke's cannot bring the boat back without getting water over her boots.

2. The angle of elevation of the plan = arccos(99/100) ≈ 8.110°

Given that the angle of elevation the plan, 8.110°, is more than 8° limit, we find;

The plan will not be approved.

3. Height reached by the plane = 9 × tan(21°) = 3.455

Therefore;

The plane will not disturb.

4. Height of the chimney at the factory = 50 × tan(51°) = 61.745

The minimum chimney height = 65 m.

Therefore;

The company can not use the chimney legally.

6. Length of the bridge = 72 × tan(55°) ≈ 102.83

Therefore;

The Long company will build the bridge because it is longer than 100 m. but not more than 103 m.

7. Height reached by the ladder = 26 × sin(43°) ≈ 17.7

Therefore;

The fireman can reach her.

8. Height reached by the ski lift = 1000 × sin(29°) ≈ 484.8

Therefore;

The lift does not take the skiers up to the bar.

9. Height reached by plane = 26 × tan(9°) ≈ 4.12

The plane flies under the cloud therefore;

Eric will be able to see his Dad's plane.

10. Length required for the metal brace = 21/(cos(73°)) ≈ 71.83

Therefore;

The brace that wastes less metal is the 73 m. brace, because the 71 m. brace is not long enough and two braces will be required.

Learn more about trigonometric ratios here:

brainly.com/question/24349828

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7 0

2 years ago

9.77x10^5 1SF<br> In standard form

Hatshy [7]

Answer: 977000

Step-by-step explanation:

4 0

2 years ago

PLEASE HELP PLEASE WILL GIVE BRAINLIEST!!!!!!! A retain arithmetic sequence has the following explicit formula for the nth term:

SashulF [63]

In the given question,the given explicit formula is

$a_{n) = 4+(n-1)(7)$

Which is of the form

$a_{n} = a +(n-1)(d)$

So the constant difference is 7 here.

Now for the recursive formula

To find the next term, we need to add 7 to the current term, that is

$a_{n} = a_{n-1} +7$

So the correct option is B

7 0

4 years ago

Please Answer ASAP ! Which point lies on the circle represented by the equation x2 + (y − 12)2 = 252?

Ivahew [28]

Answer:

Point (20 , -3) lies on the circle ⇒ (A)

Step-by-step explanation:

The point which lies on the circle must satisfy the equation of the circle

The equation of the circle is x² + (y - 12)² = 25²

<em>Take the left hand side and substitute x and y by the coordinates of each point the answer must equal the right hand side</em>

<em />

A. (20 , -3)

∵ x = 20

∵ y = -3

∴ (20)² + (-3 - 12)² = 400 + (-15)² = 400 + 225 = 625

∵ The right hand side is 25²

∵ 25² = 625

∴ The left hand side = The right hand side

∴ Point (20 , -3) satisfy the equation of the circle

∴ Point (20 , -3) lies on the circle

B. (-7 , 24)

∵ x = -7

∵ y = 24

∴ (-7)² + (24 - 12)² = 49 + (12)² = 49 + 144 = 193

∵ The right hand side is 25² = 625

∴ Point (-7 , 24) does not lie on the circle

C. (0 , 13)

∵ x = 0

∵ y = 13

∴ (0)² + (13 - 12)² = 0 + (1)² = 0 + 1 = 1

∵ The right hand side is 25² = 625

∴ Point (0 , 13) does not lie on the circle

D. (-25 , -13)

∵ x = -25

∵ y = -13

∴ (-25)² + (-13 - 12)² = 625 + (-25)² = 625 + 625 = 1250

∵ The right hand side is 25² = 625

∴ Point (-25 , -13) does not lie on the circle

6 0

3 years ago

*the problem is in the pic that is uploaded

Alex787 [66]

Hmm,
ok,
complete square ok
wait wat

he went from
(x-3)²=16 to
x-3=16
?????
he square rooted the left side only
he has to do it to both sides

he should have done
(x-3)²=16
x-3=+/-4
x=3+/-4
x=7 or -1

8 0

3 years ago

The slope of the line (2,2) and (6,10) ​

The slope of the line (2,2) and (6,10)