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Colt1911 [192]
2 years ago
9

Bella leans a 20-foot ladder against a wall so that it forms an angle of 76° with the ground. What’s the horizontal distance bet

ween the base of the ladder and the wall? Round your answer to the nearest tenth of a foot if necessary.
Mathematics
1 answer:
seropon [69]2 years ago
8 0

Answer:

4.8 feet

Step-by-step explanation:

Use the cosine ratio, since we are given the length of the hypotenuse (the ladder) and are asked to find the horizontal distance between it and the ground.

Let x represent the horizontal distance (the adjacent leg)

cosine θ = adjacent / hypotenuse

cosine 76° = x / 20

(20)(cosine 76°) = x

4.8 = x

So, the horizontal distance is approximately 4.8 feet

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Before being put out of service, the supersonic jet Concorde made a trip averaging 120 mi/h less than the speed of sound for 0.1
evablogger [386]

Answer:

894.19 mi/hr

Step-by-step explanation:

Total distance of the trip = 3990 mi

Let the speed of the sound be 'x' miles per hour

Now,

Total distance = Speed × Time

Therefore,

According to the question

3,990 mi = [ ( x - 120 ) × 0.1 ] + [ ( x + 410 ) × 3.0 ]

or

3,990 mi = 0.1x - 12 + 3x + 1230

or

0.1x + 3x = 2772

or

3.1x = 2772

or

x = 894.19 mi/hr

8 0
2 years ago
How many solutions does this system have?
Korolek [52]

Answer:

Option- one is correct.

The given system of equations have one solution that is (7,-21)

Step-by-step explanation:

Given system of equations are

y=-3x\hfill (1)

-9x-4y=21\hfill (2)

Now to the solution:

To solve the given system of equations using substitution method.

That is substitute equation(1) in equation (2) we get

-9x-4(-3x)=21 (here y=-3x)

-9x+12x=21

3x=21 (adding the like terms)

x=\frac{21}{3}

Therefore x=7

Now substitute x=7 in equation (1) we get

y=-3x

y=-3(7)

y=-21

Therefore the solution is (7,-21)

Therefore Option- one is correct.

The given system of equations have one solution that is (7,-21)

6 0
3 years ago
Read 2 more answers
Divide a quantity into two parts in a given ratio.
True [87]
You would just divide that quantity by 2.
3 0
2 years ago
If one side of a square measures (3x-8) find the area of the square
Wittaler [7]

Answer:−21x−8

Step-by-step explanation: All sides have the same measure in a square, therefore all sides are 3x-8. Area is equal to 3x-8 times 3x-8 which is −21x−8

7 0
3 years ago
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Please help me with this math problem!! Will give brainliest!! :)
lora16 [44]

Answer:

2x^3-3x^2-10x+15\\

Step-by-step explanation:

To find (fg)(x), we have to look at f(x) and g(x) and multiply the two quantities together. We are already given the two quantities individually so all that is left is the multiplication:

(fg)(x)=(-2x+3)(5-x^2)=-10x+2x^3+15-3x^2\\

If we reorder the terms to go from highest degree to lowest, we get our final answer to be the following:

2x^3-3x^2-10x+15

6 0
11 months ago
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