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2 years ago

A painter leans a 12-foot ladder against a wall. The angle of elevation of the ladder is 55.

Mathematics

1 answer:

balandron [24]2 years ago

5 0

Answer:

9.83cm

Step-by-step explanation:

Since we are not asked what to look for. We can find the height of the wall.

Let the height of the wall be H

Given

Length of the ladder l = 12fot

Angle of elevation = 55degrees

Required

Height of wall H

Using the SOH CAH TOA identity

SIn theta = opp/hyp

Sin 55 = H/12

H - 12sin55

H = 12(0.8192)

H = 9.83cm

Hence the height of the ladder is 9.83cm

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Graph the linear equation and answer each of the following questions. y=-2x-3

ollegr [7]

Answer:

Part 1) The y-intercept is the point (0,-3)

Part 2) The slope in fraction form is $m=-\frac{2}{1}$

Part 3) The graph in the attached figure

Step-by-step explanation:

we have

$y=-2x-3$

Part 1) What is the y-intercept?

Remember that

The y-intercept is the value of y when the value of x is equal to zero

For x=0

substitute in the linear equation and solve for y

$y=-2(0)-3\\y=-3$

The y-intercept is the point (0,-3)

Part 2) What is the slope (in fraction form)?

we have

$y=-2x-3$

This is the equation of the line in slope intercept form

$y=mx+b$

where

m is the slope or unit rate

b is the y-intercept

$m=-2$

In fraction form is

$m=-\frac{2}{1}$

The slope is negative, that means, is a decreasing function (as the x-values increases the y-values decreases)

Part 3) Graph the line

To graph the line we need two points

From the y-intercept (0,-3) use the slope to find your next point

The slope is -2, so you will rise -2 (2 units down) and run 1 (1 unit to the right).

The next point is (0+1,-3-2) -----> (1,-5)

Plot the points (0,-3) and (1,-5), connect them and graph the line

The graph in the attached figure

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3 years ago

The following numbers show the cost of renting a full-size rental car, based on the number of miles driven. (0 miles=$68.97), (5

lora16 [44]

It to long i give up sorry bro

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3 years ago

Is 9.23= to 9.32 hope I can get the correct answer

Musya8 [376]

9.23 is less than 9.32 because .32 is more than .23

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3 years ago

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Papessa [141]

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3 years ago

Read 2 more answers

Felicity baby sat 2 hours each night for 10 nights. She earned a total of $180 babysitting. Felicity wants to calculate her hou

natulia [17]

Answer:

To find Felicity's hourly rate you first want to find out how many hours she has babysat altogether. In order to do this we need to take 2*10=20

With that 20 we can divide it by 180 to find her hourly rate

180/20= 9

So she makes $9 an hour

Step-by-step explanation:

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3 years ago