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pickupchik [31]
3 years ago
9

A ladder leaning against a building makes an angle of 78 degrees with the ground. The foot of the ladder is 5 feet from the buil

ding. How long is the ladder?
Mathematics
1 answer:
tatiyna3 years ago
4 0

9514 1404 393

Answer:

  24 feet

Step-by-step explanation:

The side adjacent to the angle is given, and the hypotenuse of the triangle is the unknown. The cosine relation applies:

  Cos = Adjacent/Hypotenuse

  hypotenuse = ladder length = (5 ft)/cos(78°) ≈ 24.0 ft

The ladder is about 24 feet long.

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A store is instructed by corporate headquarters to put a markup of 43​% on all items. An item costing ​$7 is displayed by the st
docker41 [41]

Answer:

The correct price is 10.01

Step-by-step explanation:

The manager multiplied the price by 43%, instead of noticing the words "mark up", which means the price increased by 43 percent and the cost is multiplied by 143/100!

6 0
3 years ago
Mark bought gifts for his friends, and each gift cost $9. Let y represent the total cost and x represent the number of gifts. Wr
olga nikolaevna [1]

Answer:

y = 9x

Step-by-step explanation:

You can set up linear equations like this: y = mx + b, where m is the slope or rate, and b is the y-intercept.

9 would be the slope, since he has to pay $9 per gift.

The y-intercept is when x = 0, but if he doesn't buy any gifts, he won't have to pay anything, so b = 0. You don't have to include it since it's 0.

So, it's just y = 9x

Hope that helps! :D

3 0
2 years ago
Read 2 more answers
It cost $36 per person if 75 people rent the bus. How much will it cost per person if 100 people rent.
motikmotik

find the total cost of the bus by multiplying 75 people by $36:

75 x 36 = $2,700

Now divide the total cost of the bus by 100 people:

2700 / 100 = 27

It will cost $27 per person.

8 0
3 years ago
NEED HELP GUYS :( !!
umka2103 [35]

Answer:i cant see the situation

Step-by-step explanation:

6 0
3 years ago
Can someone help me the 2nd problem I don’t understand it
Galina-37 [17]

Answer:

So this means the bus B covered 390-120=270 miles when bus A has already reached 390 miles.

270 miles

Step-by-step explanation:

So is A is going faster than B so A will reach the destination first.

When will A reach it's destination?

Let's find out.

To solve this problem, the following will come in handy:

Speed=distance/time or time*Speed=distance or time=distance/speed .

time=distance/speed

T_A=\frac{390}{S_A}

T_A=\frac{390}{65}

T_A=6

So it will take bus A 6 hours to cover the distance of 390 miles.

How much time would have it taken bus B to reach that same distance?

T_B=\frac{390}{45}

T_B=8.\overline{6}

So it would have taken bus B 8.\overline{6} hours to cover a distance of 390 miles.

So the time difference is 8.\overline{6}-6=2.\overline{6} hours.

It will take 2.\overline{6} more hours than bus A for bus B to complete a distance of 390 miles.

So bus B traveled 2.\overline{6} \cdot 45=120 miles (used the time*speed=distance) after bus A got to it's destination.

So this means the bus B covered 390-120=270 miles when bus A has already reached 390 miles.

4 0
3 years ago
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