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kramer
3 years ago
9

Find the measure of the missing angle using the exterior angle sum theorm

Mathematics
1 answer:
Alina [70]3 years ago
7 0

Step-by-step explanation:

the sum of angels of a triangle is 180°

130+ ? + (180-160) = 180

130+ ? +20= 180

150+ ? = 180

? = 30°

the missing angle is 30°

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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.
Readme [11.4K]

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

4 0
3 years ago
A. $35.00
liraira [26]

Answer:

D, $75.00 because 35 plus 15 plus 20 is 75.

4 0
2 years ago
if f(x)=2(x)^2+5sqrt(x+2), complete the follwoing statement ( round your answer to the nearest hundreth) : f(0)=_____
Maslowich

Answer:

f(0)=7.07

Step-by-step explanation:

We have the function f(x)=2(x)^2+5\sqrt{(x+2)}

In this case we want to find the value of f0)

To find f(0) you must replace the x in the function with the number 0 and solve as shown below

f(0)=2(0)^2+5\sqrt{(0+2)}

f(0)=0+5\sqrt{(0+2)}

f(0)=5\sqrt{(2)}

Therefore

f(0)=7.07

5 0
3 years ago
1x -1y =100 x. what is the answer​
Bad White [126]

Answer:

y=-99x

Step-by-step explanation:

it's imposible to answer y in terms of a number, but it is possible to do it in terms of x.

x-y=100x

x=100x+y

-99x=y

y=-99x

8 0
3 years ago
. Which expression has a value of 6? *
Anarel [89]

Answer:

(6÷3) * 4 + 8 is the equation with the value of 6

3 0
3 years ago
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