A car is parked 80 feet from the base of a 120-foot building. What is the angle of depression from the top of the building to the car? Round your answer to the nearest degree.


A 48° degrees


B 34° degrees


C 42° degrees


D 56° degrees

Answer:

y = 4x-13

Step-by-step explanation:

The standard equation of the line is y = mx+c

m is the slope

c is the intercept

Given the equation y = 4x+2

The slope m = 4

Substitute m = 4  and the given point into the formula y = mx+c

1 = 4(4)+c

1 = 14+c

c = -13

Get the equation

Recall that y = mx+c

y = 4x + (-13)

y = 4x-13

Hence the required equation is y = 4x-13

The value of  cos 45° in the given triangle is 1/√2, Option C is correct.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

In the given right triangle the hypotenuse is 8√2

In the given triangle the two legs are equal.

Let x be the length of the two legs

By Pythagoras theorem, let us find the length of a leg.

x²+x²=(8√2)²

2x²=64(2)

2x²=128

Divide both sides by 2

x²=64

Take square root on both sides

x=8

Now let us find the cosine function, the ratio of adjacent side and hypotenuse

cos45 = 8/8√2

=1/√2

Hence, the value of  cos 45° in the given triangle is 1/√2, Option C is correct.

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Answer: Tamiya watched [tex]\dfrac16[/tex] of the movie at night.

Step-by-step explanation:

Let x = part of movie watched at night.

Given  : Tanya watched [tex]\dfrac12[/tex] of movie in the morning.

Part left to watch = [tex]\dfrac13[/tex]

As per given, we have

[tex]\dfrac12+x+\dfrac13=1\\\\\Rightarrow\ x=1-\dfrac13-\dfrac12\\\\\Rightarrow\ x=\dfrac{6-2-3}{6}\\\\\Rightarrow\ x=\dfrac16[/tex]

Hence, Tamiya watched [tex]\dfrac16[/tex] of the movie at night.

Answer:

3:2

3 to 2

3/2

Step-by-step explanation:

24/16 reduces to 3/2.

Answer:

3/2  5/3 12/8

Step-by-step explanation:

Answer:-1 1/3 because 5 1/3+-4 1/6 is like subtracting them as a positive and you get 1 1/6 then subtract 2 1/2 to get -1 1/3

Step-by-step explanation:

Answer:

angle BAC=50-2x

Step-by-step explanation:

angle ACD=115+x

then, angle ACB=180-(115+x)   because it is a supplementary angle

angle ABC=angle ACB because it is an isosceles triangle

angle BAC=180-2[180-(115+x)]

angle BAC=180-360+230-2x

angle BAC=50-2x

Answer:

1) 117

2) 51

3) congruent

4) to each other

Step-by-step explanation:

Answer:

There is 8 possible combinations.

Step-by-step explanation:

4 sandwiches: turkey, ham, cheese, chicken

2 drinks: milk, water

1 desert: cake

possible combinations:

1: turkey, milk, cake

2:turkey, water, cake

3: ham, milk, cake

4: ham, water cake

5: cheese, milk, cake

6: cheese, water, cake

7: chicken, milk, cake

8: chicken, water, cake

Answer:

Height x=2

Step-by-step explanation:

area of top & bottom:

(5)(4)(2)=40

area of 2 sides:

(x)(5)(2)=?

area of the other two sides:

(x)(4)(2)=?

total area=76

76=40+10x+8x

simplify:

36=18x

x=2

Answer:

4 skate boards

Step-by-step explanation:

We solve this question using Greatest Common Factor method

We find the factors of 8, 12 and 16

The factors of 8 are: 1, 2, 4, 8

The factors of 12 are: 1, 2, 3, 4, 6, 12

The factors of 16 are: 1, 2, 4, 8, 16

Then the greatest common factor is 4.

Thereeft, ,the greatest number of skate boards that can be put in a section is 4 skate boards

Answer: Mr Smith bought 7 pepperoni pizza

Step-by-step explanation:

Step 1

cost of cheese pizza  =$11

pepperoni pizza cost =$12.50

let number cheese pizza be represented as c

and number of pepperoni pizza be represented as p

such that the total number of pizza  bought which equals 13 can be represented as

c+ p= 13

and total cost of both pizza  can be expressed as

11c+ 12.50p =153.50

Step 2 Solving

 c+ p= 13

11c+ 12.50p =153.50

By elimination method, Multiply equation 1 by 11 and subtract the new equation from equation 2

11c+ 12.50p =153.50

11c+ 11p=143.

1.5p =10.5

p= 10.5/ 1.5 =7

c+ p= 13

c= 13-p =13-7=6

Therefore Mr Smith bought 6 cheese pizza and 7 pepperoni pizza

Answer:

18%

Step-by-step explanation:

540$ is 18% of what he put towards the loan :))

Answer:

positive number

Step-by-step explanation:

because I got it right

Answer:

No picture sorry

Answer:

9i

Step-by-step explanation

Answer:

77,553,214.66666667

Step-by-step explanation:

calculater

Answer:

77553214 2/3

Step-by-step explanation:

i squeezed out the baby yet i have no idea who the father is

Answer:

2199.11 (with pi)

2198 (with 3.14)

Step-by-step explanation:

A=2πrh+2πr²

A=2π(14)(11)+2π(14)²

A=2π(154)+2π(196)

A=2(483.56)+2(615.44)

A=967.12+1230.88

Answer: 3x^2-5x

5x^2-15xy

Step-by-step explanation:

Answer:

3x² - 5x & 5x² - 15 xy

Step-by-step explanation:

1) x(3x - 5)

x × 3x - x × 5 (take the brackets out)

3x² - 5x.

2) 5x (x - 3y)

5x × x - 5x × 3y (take the brackets out)

5x² - 15 xy

The triangle in which the side are nine inches long has a perimeter of 27 inches.

The perimeter of a triangle is the sum of the length of the whole side.

The triangle have three sides and the perimeter is the sum of the whole sides.

According to the question, the triangle has the whole sides as 9 inches.

This means the triangle is an equilateral triangle.

Therefore,

length of side = 9 inches

perimeter = 9 + 9 + 9

perimeter = 27 inches

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Answer: 11

Step-by-step explanation:

i did 3.5 x 3.14 = 10.99 and rounded to the nearest whole number, 11.

The circumference of the circular window to the nearest whole number is 11 feet.

A circle is a two-dimensional figure with a radius and circumference of 2pir.

The area of a circle is pir^2.

We have,

To find the circumference of the circular window, we need to use the formula:

C = πd

where C is the circumference, π is the constant pi, and d is the diameter of the circle.

Since the window is 3.5 feet across at its widest point, the diameter of the circle is also 3.5 feet.

Plugging in the value of the diameter in the formula, we get:

C = πd

C = 3.14 x 3.5

C = 10.99

Rounding the result to the nearest whole number, we get:

C ≈ 11 feet

Therefore,

The circumference of the circular window to the nearest whole number is 11 feet.

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The measure of each marked angle is 60 degrees for the given figure, which are alternate exterior angles.

The angles are given as:

∠1 = 10x-20 and ∠2 = 7x+4

As we know that alternate exterior angles are described as the pair of angles formed on the outer side of the parallel lines and on opposite sides of the transversal when two parallel lines are crossed by a transversal.

By alternate exterior angles, it can be written as:

∠1 = ∠2

10x-20 = 7x+4

10x -7x = 4 + 20

3x = 24

x = 24/3

x = 3

From given angles:

80 - 20 = 60

56 + 4 = 60

Thus, the measure of each marked angle is 60 degrees.

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Also if I'm right can you let me know, please?

Also Also if I am right can I please have Brainliest??

You don't need to, I'm just glad I could help. ^^

You're a beautiful person, and worth so much, no matter your race or gender.

You deserve the world and more, and if I could give it to you, I would!

So please don't let anyone say otherwise, there are so many people in this world who love you, including me.

And if someone can't see your beauty then they're rather blind or you're just too bright for them!

Your amazing and I'm so proud of you for making it this far, so keep on with life, stay strong, and live long because I love you!

(Not in a weird way lol I love and care for everyone genuinely)

Answer:

since triangle AED similar to ACB

CE=19cm mid point bisect it

BD=32Cm mid point bisect it

Step-by-step explanation:

BC=2DE=2×39=78Cm

Answer: Mary

Step-by-step explanation:

Tobey 432 yards is 1296 foots

Mary 1/4 mile is 1320 foots

You didnt mark what kind of measurment Finn has but I assume it's foots, then Mary wins!

(Tobey 1296)

(Finn 1300)

(Mary 1320)

Answer:

Yeah it's Mary

Step-by-step explanation:

Answer:

-$16

Step-by-step explanation:

16-32=-16

Answer:

the vapor pressure of a solution at 25°C that contains 76.6 g of glucose (180.2 g/mole) in 250.0 mL of water. The vapor pressure of pure water at 25°C

Step-by-step explanation:

your answer is:  22.9 torr at 25°C

Explanation:

When a non volatile solute is added to a pure solvent, the vapour pressure of the mixture decrease regard to the pure solvent following the equation

Where vapour pressure of the pure solvent (Water) is 23.8torr at 25°C.

Mole fraction of water is the ratio between moles of water and total moles in solution. The solution has a mole fraction of water of:

Replacing in Raoult's law:

Vapor pressure of the solution is 22.9 torr at 25°C

hope this helps!

Answer:

Step-by-step explanation:

expand My eBay and thought you might be a good time to get the latest flash player is required for video playback is unavailable right now because this video is not available for remote playback is unavailable right now because this video is not available for remote playback is unavailable right now because this video is not available for remote playback is unavailable right for me as soon is unavailable and nice and clean this is unavailable for video for me and

Answer:

2,1,0,-1,-2

Step-by-step explanation:

Just find the highest number and start going down.

Answer:

A: False

B: False

C: True

D: False

E: True

Step-by-step explanation:

Every true answer has a reasonable amountable difference.

Surprised to see someone not faking for points?

Hope this helped!