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adoni [48]
3 years ago
9

A painter is placing a ladder to reach the third story window, which is 23 feet above the ground and makes an angle with the gro

und of 80°. How far out from the building does the base of the ladder need to be positioned? Round your answer to the nearest tenth.
Mathematics
1 answer:
oksian1 [2.3K]3 years ago
4 0

Answer:

69

Step-by-step explanation:

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What is the constant of proportionality for the relationship shown in this table
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Answer:

it is 4 because if you multiply each x-value by 4, you'll get they y-value underneath it:)

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In straight-line depreciation, if a car is purchased for $28,000 and is depreciated over 10 years, then what is the annual depre
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3 years ago
When truckers are on long-haul drives, their driving logs must reflect their average speed. Average speed is the total distance
bekas [8.4K]

a) v=\frac{d_{tot}}{t_{tot}}=\frac{(3 h)(60 mph)+20 mi}{3 h +t_2}

The average speed is equal to the ratio between the total distance (d_{tot} and the total time taken (t_{tot}):

v=\frac{d_{tot}}{t_{tot}}

the distance travelled by the trucker in the first 3 hour can be written as the time multiplied by the velocity:

d_1 = (3 h)(60 mph)=180 mi

So the total distance is

d_{tot}=d_1 +d_2 = 180 mi+20 mi=200 mi

The total time is equal to the first 3 hours + the time taken to cover the following 20 miles in the city:

t_{tot}=3 h +t_2

So, the equation can be rewritten as:

v=\frac{d_{tot}}{t_{tot}}=\frac{(3 h)(60 mph)+20 mi}{3 h +t_2}


b) 0.50 h (half a hour)

Since we know the value of the average speed, v=57.14 mph, we can substitute it into the previous equation to find the value of t_2, the time the trucker drove in the city:

v=\frac{200 mi}{3h +t_2}\\3h+t_2 = \frac{200 mi}{v}\\t_2 = \frac{200 mi}{v}-3h=\frac{200 mi}{57.14 mph}-3 h=0.50 h


3 0
3 years ago
Sandra rode her bike 5 times as many miles as Barbara. If b, the distance Barbara rode, equals 3.4 miles, what is the correct ex
Debora [2.8K]

The expression s = 5b represents the Sandra rode her bike and the distance Sandra rode, equals 17 miles.

<h3>What is distance?</h3>

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

We have:

Sandra rode her bike 5 times as many miles as Barbara. If b, the distance Barbara rode, equals 3.4 miles.

b = 3.4 miles

Let's suppose the s is the distance Sandra rode then,

s = 5b

The above expression represents the Sandra rode her bike.

Plug b = 3.4 miles

s = 5(3.4) = 17 miles

Thus, the expression s = 5b represents the Sandra rode her bike and the distance Sandra rode, equals 17 miles.

Learn more about the distance here:

brainly.com/question/26711747

#SPJ1

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2 years ago
Sams bill at a restaurant is $12, and he leaves a 20% tip. What is the total bill including the tip
Setler79 [48]
The tip is $2.40 and the bill is$14.40
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3 years ago
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