A light tower is going to be installed on the left edge of the Skywalk as indicated in the diagram above. The light will shine down to the opposite edge of the Skywalk indicated with the star in the diagram above. How tall does the light tower need to be if the angle of depression is 51°?

Answer:

a= 20

b= 169.7

c= 29.71

Step-by-step explanation:

The formula of a triangle is (h*b)/2

a= (5*8)/2

b= to find the height, you can use the pythagorean theorem 18^2 - 6^2 = square root of 288. Which is 12root 2 or 16.97. (16.97*20)/2

c= using the pythagorean theorem- 11^2 = 7^2 - c^2 = square root 73, or 6root 2, or 8.49. (8.49* 7)/2

Answer:

Step-by-step explanation:

i do believe you didn't write the whole problem

if m=-3

9-m=9-(-3)=9+3=12

Answer:

These are the statements. I need help to

Step-by-step explanation:

She is 1.5 times less likely to draw a vowel than a consonant.

She is 1.5 times more likely to draw a vowel than a consonant.

She is twice as likely to draw a consonant as a vowel.

Drawing a vowel and a consonant are equal likely.

Answer:

a. For A2 to compute the interest.

b. For B2 to compute the principal.

c. For C2 to compute the interest rate.

d. For D2 to compute time in years, given the interest, rate, and the principal.

e. For E2 to compute the time in months, given the time in years.

a) A2 = B2 x C2 x D2

b) B2 = A2/ (C2 x D2)

c) C2 = A2/ (B2 x D2)

d) B2 = A2/ (C2 x D2)

e) E2 = 12 x D2

I know they only asked for principle, I just added for imformation lol

Answer:

1/16 tons of wood per deck

Step-by-step explanation:

6/15 ÷ 8

6/15 × 1/8 (Keep Change Flip)

6/96 = 1/16

Answer:

13

Step-by-step explanation:

180-167= 13

× = 13 degrees

Answer:

The question is not complete, therefore I cannot answer this.. :(

Step-by-step explanation:

if anything try dividing these numbers

Answer:

Chicken feed

Step-by-step explanation:

Chicken feed: .70

Goat feed: .80

Dog feed: .75

Pig feed: .79

Answer:

Goat Feed

Step-by-step explanation:

Chicken- 1.40

Goat- 1.25

Dog- 1.33

Pig- 1.265823

Answer:

Thus at this rate, Mike would be able to finish reading the 219 novel in 10 days. Mike is right.

Step-by-step explanation:

Total number of pages of the novel = 219.

1st night, he reads 10 pages.

2nd night, he reads 13 pages.

3rd night, he reads 16 pages.

4th night he reads 19 pages.

5th night, he reads 22 pages.

6th night, he reads 25 pages.

7th night, he reads 28 pages.

8th night, he reads 31 pages.

9th night, he reads 34 pages.

10th night, he reads 37 pages.

Total number of pages read after 10 nights = 235

Thus at this rate, Mike would be able to finish reading the 219 novel in 10 days. Mike is right.

Answer:

1 0 3 − 3 ^2 − 4

Step-by-step explanation:

Answer:

I think it might be 23+92−5

Step-by-step explanation:Im not tottally sure

Answer:

20L + 45 = 225

Step-by-step explanation:

20 is the slope making it constant

45 is a one time fee making it a y intercept

equaling 225

Answer:

20L+45=225

Step-by-step explanation:

20 represents how much she paid for each lesson, we don't know how many lessons she paid for so we use the variable L and multiply it by 20. She only had to pay the registration fee once so 45.  Unknown lessons taken by  20 + the one-time fee of 45 equals 225

Hope this helps!    

Answer:

A= 243

B=4

Its because its multiplying itself 5 times for A. And doing it 4 times for B

I think this is correct (I am only in Middle School...)

Step-by-step explanation:

(a) The number of T-shirts sold in the 5th month is 15. (b) The store sells 81 T-shirts in the 27th month.

a. To find f(5), we need to plug x = 5 into the function f(x) = 3x:

f(5) = 3 × 5 = 15

So, the number of T-shirts sold in the 5th month is 15.

b. To find when the store sells 81 T-shirts, we need to solve the equation f(x) = 81:

f(x) = 3x = 81

Now, solve for x:

3x = 81

Divide both sides by 3:

x = 81 / 3

x = 27

So, the store sells 81 T-shirts in the 27th month.

To  know more about number

https://brainly.com/question/251701

#SPJ2

Answer:

38 cents

Step-by-step explanation:

5x5=25

63-25=38

Answer:

Step-by-step explanation:

Let retail be $100

At 20% discount

(100-20)% * 100

0.8*100

$80

At 30% discount

(100-30)%* 80

$56

Using the percentage relationship between cost, the book was purchased at 56% of the retail price.

Let :

Retail price = r

Discount price = 0.8r

Special sale price :

(1 - 0.30) × 0.8r

0.70 × 0.80r = 0.56r

Hence, the book was purchased at 56% of the retail price.

Learn more : https://brainly.com/question/25581049

Answer:

I am not sure what the formula is, so I apologize for that.

The curvature is the amount by which a curve deviates from being a straight line, or a surface deviates from being a plane.

Step-by-step explanation:

9514 1404 393

Answer:

  x = 3.6

Step-by-step explanation:

The angle bisector divides the triangle proportionally.

The base segment to the right of the bisector is 6-x, so we can write the proportion ...

  x/6 = (6-x)/4

Multiplying by 12, we get ...

  2x = 3(6 -x)

  5x = 18 . . . . . add 3x

  x = 18/5 . . . .  divide by 5

  x = 3.6

_____

Alternate solution

Since the base of the triangle is given as a left-part and a sum-of-both-parts, we can write the proportion the same way:

  left-part / sum-of-both-parts = x/6 = 6/(6+4)

Then the solution is x = 6(6/10) = 36/10 = 3.6.

Doing it this way avoids having x on both sides of the equation, so makes solving the equation be "one step."

Answer:

162

Step-by-step explanation:

225 x 0.72 = 162

Please note that your equation sounds a little unclear. But, I am assuming that your equations in two ways and solving both equations.

[tex]4x+5y^3=-7[/tex]

[tex]4x+5y=-37[/tex]

so, I will solve both of them.

Answer:

Please check the explanation.

Step-by-step explanation:

1)

Assuming the equation

[tex]4x+5y^3=-7[/tex]

substituting x = -4 and y = 2

[tex]4\left(-4\right)+5\left(2\right)^3=-7[/tex]

[tex]-16+2^3\cdot \:\:5=-7[/tex]

[tex]-16+40=-7[/tex]

[tex]24=-7[/tex]

False!

The sides are not equal!

Since (-4, 2) does not satisfy the equation, therefore (-4, 2) is not a solution of [tex]4x+5y^3=-7[/tex].

2)

[tex]4x+5y=-37[/tex]

Assuming the equation

[tex]4x+5y=-37[/tex]

substituting x = -4 and y = 2

[tex]4\left(-4\right)+5\left(2\right)=-37[/tex]

[tex]-16 + 10 = -37[/tex]

[tex]-6=-37[/tex]

False!

The sides are not equal!

Since (-4, 2) does not satisfy the equation, therefore (-4, 2) is not a solution of [tex]4x+5y=-37[/tex].

Answer:

C) √221 units

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra II

Step-by-step explanation:

Step 1: Define

Point (-7, 7)

Point (7, 2)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Answer:

you're right it's 218

Step-by-step explanation:

you simply just put 5 instead of n in the equation then calculate. It's simple as that!

Answer:

Solar

Step-by-step explanation:

It would be Solar because the energy from the sun is called solar energy. Also, solar panels pick up the sun's energy, and harvests it.

Answer:

7

Step-by-step explanation:

So its three girls and each of them get the same amount. All you really have to do is divide 21 by 3 which is 7.

They each get to spend $7.

Answer:

The first one

Step-by-step explanation:

Answer:

y=1/4x-3/4

Step-by-step explanation:

because it's been put into a slope form already sksk so it basically wanted in simplified in a sense then cross turn the 3 and turn it into a fractions and reform the problem

Answer:

when your at a red light and it turns green

Answer:

ok

Step-by-step explanation:

Answer:

What do you need help with?

Step-by-step explanation:

Answer:

6x-9

Step-by-step explanation:

Answer:

6x - 9

hope this helped!! :D

Answer:

Supplementary Angles: if both angles are added = 180 °

Complementary Angles: if both angles are added = 90°

Step-by-step explanation:

Answer:

m<6 = 20*, m<4 = 160*

Step-by-step explanation:

2.m<6+m<4=180*

3. m<6+m<4=180*

4. m<6+8 x m<20

5.m<6 = 20*, m<4 = 160*

A fraction which is less than 1/3 is 1/6

We can lessen a quantity if we take out some positive part from it.

Thus, suppose if it is given that there are 'T' things, then a quantity which is less than 'T' would be 'T - S'

where S is something positive.

(there can be infinite number of values less than a specific finite value, and similarly, there can be infinite number of values more than a specific finite value).

For the given case, the fraction given is 1/3

Let a fraction which is less than it be denoted by F

Then,

[tex]F < 1/3\\F = \dfrac{1}{3} - S[/tex]

Let S = 1/6

Then, we get value of F as:

[tex]F = \dfrac{1}{3}- \dfrac{1}{6} = \dfrac{2 - 1}{6} = \dfrac{1}{6}\\[/tex]

Thus, 1/6 is a fraction which is less than the given fraction 1/3

Learn more about fractions here:

https://brainly.com/question/12106245

Answer:

x = 11

Step-by-step explanation:

Based on the two secants intersecting theorem, thus, we have:

(x + 5)*5 = (38 + 2)2

5x + 25 = (40)2

5x + 25 = 80

5x = 80 - 25 (subtraction property of equality)

5x = 55

Divide both sides by 5

x = 11

Answer:

w = - 22.4

Step-by-step explanation:

w + 6.1 = -16.3

**subtract 6.1 on both sides to isolate w:

w = -16.3 - 6.1

w = -22.4

Answer:i wont answer it because the other guy is right

Step-by-step explanation: