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Liula [17]
3 years ago
6

You lean a 30 foot ladder against your house and it reaches exactly to the top. The ladder makes a 24 degree angle with the grou

nd. How tall is your house?
Mathematics
1 answer:
zhenek [66]3 years ago
4 0
A right triangle is formed with the ladder as the hypotenuse. Since the angle made by the ladder with with ground is given, we can use trigonometric functions to solve for the height of the house.

If we let x be the height of the house and using sine function:
sin 24 = x/30
x = 30 sin 24
x = 12.20 ft

Therefore, the house is 12.20 ft tall
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If an intravenous solution containing 123 mg of a drug substance in each 250-mL bottle is to be administered at the rate of 200
12345 [234]

Answer:

24.39mL of the solution would be given per hour.

Step-by-step explanation:

This problem can be solved by direct rule of three, in which there are a direct relationship between the measures, which means that the rule of three is a cross multiplication.

The first step to solve this problem is to see how many mg of the solution is administered per hour.

Each minute, 200 ug are administered. 1mg has 1000ug, so

1mg - 1000 ug

xmg - 200 ug

1000x = 200

x = \frac{200}{1000}

x = 0.2mg

In each minute, 0.2 mg are administered. Each hour has 60 minutes. How many mg are administered in 60 minutes?

1 minute - 0.2 mg

60 minutes - x mg

x = 60*0.2

x = 12mg

In an hour, 12 mg of the drug is administered. In 250 mL, there is 123 mg of the drug. How many ml are there in 12 mg of the drug.

123mg - 250mL

12 mg - xmL

123x = 250*12

x = \frac{250*12}{123}

x = 24.39mL

24.39mL of the solution would be given per hour.

7 0
3 years ago
Can someone help me plz?
Nikitich [7]

Answer:

275 non spectators

Step-by-step explanation:

1. Subtract

42,500 - 31,750 - 10,475 =

275

2. Get answer

275 non-spectators

7 0
3 years ago
A school theater can sell 87 tickets for show. if 9 have been sold how many tickets are still left to be sold
shutvik [7]

Answer:

78 tickets left to be sold

Step-by-step explanation:

87-9=78

8 0
3 years ago
Read 2 more answers
F(x)=2x+3 g(x)=x-4 Find (fg)(x) (Hint use FOIL)
Amiraneli [1.4K]

Answer:

2x^2-5x-12

Step-by-step explanation:

using foil this should be the answer, do you need the solution values?

4 0
3 years ago
Simplify 72 meters over1.5 cenimeters
trasher [3.6K]
We have 1 m = 100cm
          ⇒ 72 m = 7200 cm 
          ⇒ 7200 / 1.5= 4800 cm = 48 m
7 0
3 years ago
Read 2 more answers
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