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SVETLANKA909090 [29]
3 years ago
7

In the accompanying diagram, AEFB, AD II EC , DF || CB, mDAE = 34 and m DFE = 57. Find

Mathematics
1 answer:
scoray [572]3 years ago
8 0

Answer:

1.  Solve small triangle

2. 180-90-57=33

3.solve medium triangle

4. E=33

5.C=90

6.180-90-33=57

7.B=57

8. solve big triangle

9.A=34

10.F=57

11.D=90

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Suppose a room is 5.2 m long by 4.3m wide and 2.9 m high and has an air conditioner that exchanges air at a rate of 1200 L/min.
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Answer:

54 minutes

Step-by-step explanation:

From the question, we are given;

  • A room with dimensions 5.2 m by 4.3 m by 2.9 m
  • The exchange air rate is 1200 L/min

We are required to determine the time taken to exchange the air in the room;

First we are going to determine the volume of the room;

Volume of the room = length × width × height

                                  = 5.2 m × 4.3 m × 2.9 m

                                  = 64.844 m³

Then we should know, that 1 m³ = 1000 L

Therefore, we can convert the volume of the room into L

= 64.844 m³ × 1000 L

= 64,844 L

But, the rate is 1200 L/min

Thus, time = Volume ÷ rate

                  = 64,844 L ÷ 1200 L/min

                   = 54.0367 minutes

                   = 54 minutes

Therefore, it would take approximately 54 minutes

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3 years ago
Y=(x-1)^2-9 standard form
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Answer:

Y=x^2-2x-8

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Mimi needs eleven 18-inch pieces of rhinestone ribbonShe purchased 5 yards of the ribbon shown at the rightWhat is the total amo
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Answer:

5.5 yards.

Step-by-step explanation:

We have been given that Mimi needs eleven 18-inch pieces of rhinestone ribbon. She purchased 5 yards of the ribbon. We are asked to find the total amount of ribbon that Mimi needs.

First of all, we will multiply 11 by 18 to find amount of ribbon needed in inches as:

\text{Amount of total ribbon in inches}=11\times 18\text{ inches}

\text{Amount of total ribbon in inches}=198\text{ inches}

We know that 1 yard equal to 36 inches. To convert 198 inches into yards, we will divide 198 by 36 as:

\text{Amount of total ribbon in yards}=198\text{ inches}\times \frac{1\text{ Yard}}{\text{36 inches}}

\text{Amount of total ribbon in yards}=\frac{1\text{19 Yard}}{36}

\text{Amount of total ribbon in yards}=5.5\text{ Yards}

Therefore, the total amount of ribbon that Mimi needs is 5.5 yards.

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In 2000, Florida's total population was 15,982,378 people and 183 out of every 1000 residents were 65 years and older. Determine
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Hello! There were 15,982,378 people living in Florida in 2000 and 183 out of 1,000 were ages 65 and over. That's 18.3% of all Florida residents, because 183/1,000 is 0.183 and 0.183 * 1,000 is 18.3. What you could do is multiply the amount of people living in Florida by the percentage, in this case, 18.3% (0.183). When you do that, you get 2,924,775.174 or 2,924,775 when rounded to the nearest whole number. Either way, you can't have part of a person. In the year 2000, there were 2,924,775 Florida residents 65 and older.
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