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2 years ago

10

A 20 foot ladder rests against a building 15 feet from the floor. How far does the ladder extend from the base of the wall? What

angle does the ladder make with the ground?

1 answer:

svlad2 [7]2 years ago

8 0

The ladder extends 13.2 feet from the wall

The ladder makes an acute angle.

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Simplify the expression cos x cot x+ sin x please select the best answer from the choices provided a.0, b.csc x, c. Tan x, d sec

expeople1 [14]

Answer:

$cot x = \frac{cos x}{sin x}$

$cos x \frac{cos x}{sin x} + sin x$

$\frac{cos^2 x}{sin x} +sin x$

$sin^2 x + cos^2 x =1$

Solving for $cos^2 x$ we got $cos^2 x =1 -sin^2 x$ and replacing this we got:

$\frac{1-sin^2 x}{sin x} +sin x$

$\frac{1}{sin x} -\frac{sin^2 x}{sin x} +sin x$

$csc x -sin x + sin x = csc x$

And then the best option for this case would be:

b.csc x

Step-by-step explanation:

For this case we have the following expression given:

$cos x cot x + sin x$

We know from math properties that the definition for cot is $cot x = \frac{cos x}{sin x}$

If we use this definition we got:

$cos x \frac{cos x}{sin x} + sin x$

$\frac{cos^2 x}{sin x} +sin x$

Now we can use the following identity:

$sin^2 x + cos^2 x =1$

Solving for $cos^2 x$ we got $cos^2 x =1 -sin^2 x$ and replacing this we got:

$\frac{1-sin^2 x}{sin x} +sin x$

$\frac{1}{sin x} -\frac{sin^2 x}{sin x} +sin x$

$csc x -sin x + sin x = csc x$

And then the best option for this case would be:

b.csc x

4 0

3 years ago

Phoebe was seling orchestra and balcony tickets for

Veronika [31]

Answer:

A. day 12

Step-by-step explanation:

because that is when both lines meet

brainliest please :)

3 0

2 years ago

Which function, b or c, is the inverse function for function a?

andrezito [222]

Answer:

If the perimeter of the rectangle is 60 in, find its area.

If the perimeter of the rectangle is 60 in, find its area.

8 0

3 years ago

Read 2 more answers

jason earns 15 dollars an hour at his job he spends 40 a day create an exprssion to desribe his savings in one day where x is th

geniusboy [140]

Answer:

Let y be the total earns of jason

where x is the number of hours jason works that day

y=15x ×40

y=600x

total earns of jason y = 600x

7 0

3 years ago

A man buys a certain number of Litchies at 20 per rupee and equal number at 30 per rupee. He

ANTONII [103]

Full question :

A man buys a certain number of oranges at 20 for Rs. 60 and an equal number at 30 for Rs. 60. He mixes them and sells them at 25 for Rs. 60. What is the gain or loss percent?

Answer:

4% loss(percentage loss on cost price)

Step-by-step explanation:

we will be employing algebra in solving this problem :

20 oranges at 60 Rs=60Rs/20 per orange=3Rs per orange

Say x oranges bought at 3Rs per orange=3Rsx

Equal number of oranges at 30 oranges for 60 Rs=60Rs/30 per orange=2Rs per orange

Say x oranges bought at 3Rs per orange=2Rsx

Total Cost Price = 3Rsx + 2Rsx = 5Rsx

He then sells all oranges at 25 for 60 Rs

Therefore price per orange=60/25=12/5Rs

since he sold x+x oranges(from the above calculations)

Total selling price=total oranges *12/5Rs=2x oranges*12/5Rs=24x/5Rs

Profit or loss=24x/5-5x=-x/5

therefore we have a loss =-x/5

Percentage of loss(on cost price)

=x/5÷5x∗100=

=1/25∗100=4%

5 0

3 years ago