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oksano4ka [1.4K]
3 years ago
15

If a ladder is to be placed 3 feet from the side of a house. If top of the ladder rests exactly on the edge of the house when it

is placed at an angle of 72 degrees from the ground, how long is the ladder to the nearest foot?
Mathematics
1 answer:
likoan [24]3 years ago
6 0

Answer:

7 feet long

Step-by-step explanation:

This set up will give a right angle triangle where;

Length of the ladder is the hypotenuse = x

The distance of the ladder to the house is the adjacent = 3 feet

Angle of elevation theta = 72 degrees

Using the CAH in trigonometry identity;

cos theta = adjacent/hypotenuse

cos 72 = 3/hyp

hyp = 3/cos72

hyp = 3/0.4258

hyp = 7.05 feet

Hence the ladder is approximately 7 feet long

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A House needs to some maintenance one sink is dripping water every 10 minutes and the other sink is dripping every 12 minutes if
e-lub [12.9K]

Answer:

60 minutes

Step-by-step explanation:

We solve this question using Lowest Common Factor method

Find and list multiples of each number of minutes( 12 and 10 minutes) until the first common multiple is found. This is the lowest common multiple.

Multiples of 10:

10, 20, 30, 40, 50, 60, 70, 80

Multiples of 12:

12, 24, 36, 48, 60, 72, 84

Therefore,

LCM(10, 12) = 60

The number if minutes until they both drip again is 60 minutes

7 0
3 years ago
Based on the circle graph how many pounds of milk and eggs does the average American consume each year PLS EXPLAIN FOR BRAINLEST
Gnoma [55]

Answer:

H.  552

Step-by-step explanation:

Circle graph information:

  • Milk and eggs = x%
  • Fruits and vegetables = 38%
  • Cereals = 10%
  • Meat and fish = 10%
  • Sugar = 8%
  • Fats and oils = 4%

Total consumption = 1840 pounds per person

First, calculate the percentage of milk and eggs (the value of x).

Total percentages = 100%

⇒ x + 38 + 10 + 10 + 8 + 4 = 100

⇒ x + 70 = 100

⇒ x = 30

Therefore, 30% of food consumption is milk and eggs.

To calculate the number of pounds of milk and eggs the average American consumes each year, simply find 30% of the total consumption:

= 30% of 1840

= 30% × 1840

=\sf \dfrac{30}{100} \times 1840

= 552

Therefore, the average American consumes 552 pounds of milk and eggs each year.

5 0
2 years ago
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What is the width of a rectangle with an area of 5/8 in. squared and a length of 10 inches?
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5/8=10×w this is my equation then i divide by 10 on both sides
w=6.25
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3 years ago
How do I find the angle of aed, please help
insens350 [35]

Answer:

you can find angle E by

Step-by-step explanation:

sum of angles of traingle is 180 degree

5 0
2 years ago
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What is the domain of -2
Free_Kalibri [48]
The answer is 7x so I this helps you please thank me plz bye
5 0
3 years ago
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