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GarryVolchara [31]
3 years ago
10

What is the measure of angle ∠JKL?

Mathematics
2 answers:
Vesnalui [34]3 years ago
7 0

Answer:97

Step-by-step explanation:

83+97=180

the line has to equal 180° in total.

Simora [160]3 years ago
7 0

Answer:

97 degrees

Step-by-step explanation:

The angles of 83 degrees and <JKL are on a straight line. They are supplementary and add to 180 degrees

83+<JKL=180

Subtract 83 from both sides

<JKL=97

So, the second choice is correct

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Water is being drained at a constant rate from a tank.
saw5 [17]

Answer:

Step-by-step explanation:

1000 gallons - 940 = 60 then divide by the time which gets us 60/10=6

Now we can use this answer to help find out the amount remaining in the tank.

5 minutes = 5x6=30; 1000-30= 970 gallons

20 minutes= 20x6=120; 1000-120= 880 gallons

30 minutes=30x6=180; 1000-180= 820 gallons

27 minutes=27x6=162; 1000-162= 838 gallons

X minutes = 1000-6x

Rate of flow is 6 gallons per minute.

Hope this helps!

3 0
3 years ago
30.58317511 to 3 significant figures​
slamgirl [31]

Answer:

30.583

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Deniz had a full gallon of milk. She poured out 4 cups of milk. There are 16 cups in 1 gallon. About what percent of the origina
Molodets [167]

Answer:

75% of the original volume is left.

Step-by-step explanation:

Deniz had a full gallon of milk, or 16 cups of milk, and then she poured out 4 cups of milk. That is:

  • \\ A_{full-gallon} = \frac{16}{16} cups of milk, since \\ \frac{16}{16} = 1 or \\ 1 * 100\% = 100\% of the original volume.
  • Deniz poured out 4 cups of milk from the 16 available (or \\ \frac{4}{16}).

Then,

The total left is:

\\ Total_{left} = \frac{16}{16} - \frac{4}{16} = \frac{12}{16} = \frac{3}{4}, since we are dealing here with fractions with the same denominator.

In other words, \\ \frac{3}{4} = 0.75 is the amount of milk left in the container.

In terms of percentage, \\ \frac{3}{4} = 0.75 is equivalent to \\ 0.75*100\% = 75\% of the original volume, because Deniz poured out \\ \frac{4}{16} = \frac{1}{4} = 0.25 or \\ 0.25*100\% = 25\% from the original volume.

So, Deniz left <em>75% of the original volume of milk</em> after pouring out 25% of it.        

This can be represented in the graph below.

4 0
3 years ago
After a baseball is hit, the height h (in feet) of the ball above the ground t seconds after it is hit can be approximated by th
lubasha [3.4K]

Answer:

The ball will take 4.05 seconds to hit the ground.

Step-by-step explanation:

we have

h=-16t^{2}+64t+3

This is a quadratic equation (vertical parabola) open down

The vertex is a maximum

we know that

The ball hit the ground when h=0

Solve the quadratic equation

For h=0

-16t^{2}+64t+3=0

The formula to solve a quadratic equation of the form

at^{2} +bt+c=0 is equal to

t=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

-16t^{2}+64t+3=0  

so

a=-16\\b=64\\c=3

substitute in the formula  

t=\frac{-64(+/-)\sqrt{64^{2}-4(-16)(3)}} {2(-16)}

t=\frac{-64(+/-)\sqrt{4,288}} {-32}

t=\frac{64(-)\sqrt{4,288}} {32}=-0.05\ sec  ---> the time cannot be a negative number

t=\frac{64(+)\sqrt{4,288}} {32}=4.05\ sec

therefore

The ball will take 4.05 seconds to hit the ground.

4 0
3 years ago
Solve d<br> 50+ 2(2 - d) = 3(1 + d) + 1 hurry please
monitta

Answer:

d = 10

Step-by-step explanation:

50 + 2 ( 2 - d ) = 3 ( 1 + d ) + 1

50 + 4 - 2d = 3 + 3d + 1

54 - 2d = 4 + 3d

- 4           -4

50 - 2d = 3d

     +2d  +2d

50 = 5d

50/5

d = 10

4 0
4 years ago
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