The angle of depression from a person on top of a cliff to a point 34 feet from the base of the cliff is 30°. what is the height of the cliff?

Answer:

1. A, B, C, E

2.Im not sure I think A

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

A. 34/40

Step-by-step explanation:

Answer:

Step-by-step explanation:

Lets keep the missing side as x

And we also know that the area of Triangle is,

[tex] \frac{1}{2} bh[/tex]

So taking this into consideration we can write a linear equation like this,

[tex] \frac{1}{2} bh = 20[/tex]

Where height is 8,

[tex] \frac{1}{2} \times b \times 8 = 20 \\ 4 \times b = 20 \\ b = \frac{20}{4} \\ b = 5[/tex]

So therefore the missing side is 5

Answer: seven hundred thousand

Answer:

The 7 represents the 10,000

Step-by-step explanation:

Its not the hundred because the 2 in 280 is

Answer:

It think it is A brainliest?

Step-by-step explanation:

Answer:

B, C

Step-by-step explanation:

Given:

The term is [tex]\sqrt{-80}[/tex].

To find:

The simplified form of the given term in terms of i.

Solution:

We have,

[tex]\sqrt{-80}[/tex]

It can be written as:

[tex]\sqrt{-80}=\sqrt{80\times (-1)}[/tex]

[tex]\sqrt{-80}=\sqrt{80}\times \sqrt{-1}[/tex]

[tex]\sqrt{-80}=\sqrt{16\times 5}\times i[/tex]         [tex][\because \sqrt{-1}=i][/tex]

On further simplification, we get

[tex]\sqrt{-80}=\sqrt{16}\times \sqrt{5}\times i[/tex]

[tex]\sqrt{-80}=4\times \sqrt{5}\times i[/tex]

[tex]\sqrt{-80}=4\sqrt{5}i[/tex]

Therefore, the required term is [tex]4\sqrt{5}i[/tex].

Answer:

B. 10

Step-by-step explanation:

10 x 3 = 30+5 = 35

Answer:

[tex]222.312\:\mathrm{in^3}[/tex]

Step-by-step explanation:

The composite solid consists of a cylinder and a cone. Therefore, its total volume will be the sum of the volumes of the cylinder and cone:

Volume of the cone: [tex]\frac{1}{3}\cdot 2^2\cdot 3.14\cdot 8.1 =33.912[/tex]

Volume of the cylinder: [tex]2^2\cdot 3.14 \cdot 15=188.4[/tex]

Thus, the total volume of the solid is:

[tex]33.912+188.4=\boxed{222.312\:\mathrm{in^3}}[/tex]

Answer:

a) 10 cucumbers

b) two fifth x, or 2/5x

c) 15 vegetables

Answer:

On average, Tonya makes $312 more than Emily on a typical day.

Step-by-step explanation:

I was just studying that question a few hours ago

9514 1404 393

Answer:

  x = 15°

Step-by-step explanation:

Same-side interior angles are supplementary.

  (4x° +12°) + 108° = 180°

  4x° = 60° . . . . . . . . . . . . . . subtract 120°

  x = 15° . . . . . . . . . . . . divide by 4

Answer:

Decision Rule

The critical region for one tailed test with 7 d.f is t > 1.415 for

H0 : ud ≤ 0 against the claim Ha: ud > 0

Step-by-step explanation:

The data given is

Population mean = ud= 0

Sample difference mean = d`= 3.125

Sample difference standard deviation = sd= 2.911

Sample size= n= 8

Formulate the null and alternate hypotheses as

H0 : ud ≤ 0 against the claim Ha: ud>0

The significance level ∝= 0.1

The degrees of freedom = n-1 = 8-1 = 7

The critical region for one tailed test with 7 d.f is t > 1.415

The test statistic is

t= d`- ud/ sd/ √n

Putting the values

t= 3.125-0 / 2.911/√8

t= 3.125/1.0292

t= 3.036

since the calculated value of t falls in the critical region we reject the null hypothesis .

Answer:

4 x 3.14 x 2 = 25.12 inches

Step-by-step explanation:

Formula of circumference:

3.14(pi) x 2(the number is just always there when finding circumference) x radius(half of your diameter or just your given radius).

Answer:

Hello, Here is your answer.

Finding the areas of each of the rectangles and squares of the net of a rectangular prism and adding up those areas gives the surface area or total surface area of the prism. For example, if the length of one side of the cube 4 units then the area of one its face is 4 × 4 = 16 square units.

Answer:

Step-by-step explanation:

By drawing a net, you can see each face of the prism. You can find the areas of each face and then add them together to find the total surface area.

Answer:

arc AD = 138°

Step-by-step explanation:

Recall: if two inscribed angles are subtended by the same arc, the two angles are congruent or equal to each other based on the inscribed angle theorem.

<ABD and <ACD are two inscribed angles subtended by the same arc, therefore, they are equal.

Thus:

7x + 20 = 55 + 2x

Solve for x. Collect like terms

7x - 2x = 55 - 20

5x = 35

Divide both sides by 5

x = 35/5

x = 7

✔️m<ACD = ½(arc AD) (Inscribed angle theorems)

Substitute

55 + 2x = ½(arc AD)

Plug in the value of x

55 + 2(7) = ½(arc AD)

55 + 14 = ½(Arc AD)

69 = ½(Arc AD)

Multiply both sides by 2

2*69 = Arc AD

138° = arc AD

arc AD = 138°

Answer:

6

Step-by-step explanation:

[tex]\sqrt{40} = 6.32 so 6 \\\sqrt{125} = 11.18 so 12\\12 - 6 = 6[/tex]

Answer:4000

Step-by-step explanation:40 times 100 is 4000

Answer:

3/5

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp / adj

tan G = HF/ HG

tan G = 6/10

tan G = 3/5

Answer:

C) −12/5⋅(7/12⋅1/9)⋅8/5=(−12/5⋅7/12)⋅(1/9⋅8/5)

Answer:

irrational is the only correct term because it's not a perfect Square

Answer:

I will do 1 2 3 and 5 for you:

Since a cube has a given length of 5, we know that all sides will be the same therefore your lengths will be the same.

There are 6 sides of a cube so,

5 x 5 = 25 area of one flat surface.

Now 25(an area of one flat surface) x 6(flat surfaces) = 150 cm for question 1

We need to find area of the two circles:

3(given radius)^2(radius being squared) x 3.14(pi)

3 x 3 = 9

9(after radius being squared) x 3.14(pi) = 28.26(area of one circle)

28.26 x 2 = 56.52 (area of 2 circles)

Now we need to find the round surface, but first we need to find circumference:

2 x 3.14 x 3 = 18.84

18.84(circumference) x 5(height) = 94.2 (area of round surface)

Now lets add all the given areas to find surface area:

56.52 + 94.2 = 150.72 cm^2 is your answer for question 2

2 x 4 = 8

8 x 2 = 16

4 x 5 = 20

20 x 2 = 40

2 x 5 = 10

10 x 2 = 20

Add all given areas:

16 + 40 + 20 = 76 cm^2 is your answer for question 3

452.16 cm^2

4 x 3.14 x 6^2

4 x 3.14 x 36 = 452.16 cm^2 is your answer for question 4

8 x 4 = 32, 32 divided by 2 = 16

since there are 4 sides,

4 x 16 = 64

Don't forget the bottom!

4x 4 = 16

Lets add the given areas:

64 + 16 = 80 for question 5

Answer:

I would choose D

Step-by-step explanation:

im sorry if im wrong :( im not good at math..

Answer: 5 meters long

Step-by-step explanation:

18 - 2 (4) = 10

10/2 = 5 meters

Answer: 27.5

Step-by-step explanation:

Answer:

x = -5

Step-by-step explanation:

The ( x , y ) values = ( -5 , 20 )

attached below is the schematic representation of the solution

following the Given path : starting from ( 0,0 ) following the arrow directions, at the end of your walk the value of x = -5