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Trava [24]
3 years ago
5

An oil tanker can be emptied by the main pump in 4 hours. An auxiliary pump can empty the tanker in 11 hours. If the main pump i

s started at 7 PM​, when should the auxiliary pump be started so that the tanker is emptied by 10 PM​?
Mathematics
1 answer:
solong [7]3 years ago
5 0

Answer:

The pump should be added by 8PM

Step-by-step explanation:

An oil tanker can be emptied by the main pump in 4 hours.

An auxiliary pump can empty the tanker in 11 hours.

the main pump is started at 7 PM,and we have 10 PM - 7PM = 3 hours to empty the tank.

So we have to look for the combined rate of the both pumps .

Let's say the volume= x

Rate of first pump= x/4

Rate of second pump= x/11

The rate will be added together

Combined rate= x/11 + x/4

Combined rate= 15x/44

But they have three hours to complete their pump

15x/44 = 3

X=1.0227

The pump should be added by 8PM

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How do you find the measures of angles G,E and F? Help pleez
JulsSmile [24]

m∠HDG = 28°, m∠EFG = 50°, m∠DEG = 67°, m∠DGE = 65°

Solution:

Triangle sum property:

Sum of the angles of the triangle = 180°

In ΔDHG,

m∠HDG + 120° + 32° = 180°

m∠HDG + 152° = 180°

m∠HDG = 180° – 152°

m∠HDG = 28°

In ΔGEF,

m∠EFG + 17° + 113° = 180°

m∠EFG + 130° = 180°

m∠EFG = 180° – 130°

m∠EFG = 50°

Sum of the adjacent angles in a straight line is 180°

m∠DEG + m∠DEF = 180°

m∠DEG + 113° = 180°

m∠DEG = 180° – 113°

m∠DEG = 67°

In ΔDGE,

m∠DGE + 48° + 67° = 180°

m∠DGE + 115° = 180°

m∠DGE = 180° – 115°

m∠DGE = 65°

Hence m∠HDG = 28°, m∠EFG = 50°, m∠DEG = 67°, m∠DGE = 65°.

4 0
3 years ago
I neeeeeeeddddd helllppppp
vlabodo [156]
What do you need help with maybe i can help.

4 0
3 years ago
Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three op
iVinArrow [24]

The statement that are true about the function and its graph is "The graph of the function is a parabola " , the correct option is (b) .

In the question ,

it is given that ,

the quadratic function is f(x) = x² – 5x + 12 .

for x = -10 ,

f(-10) = (-10)² – 5(-10) + 12

= 100 + 50 + 12

= 162

option(a) is false .

the graph of the quadratic function is shown below .

form the graph we can see that the graph is a parabola ,

and the function opens upwards ,

the graph does not contain the points (20,-8) and (0,0)

Therefore , The statement that are true about the function and its graph is "The graph of the function is a parabola " , the correct option is (b) .

The given question is incomplete , the complete question is

Consider the quadratic function f(x) = x² – 5x + 12. Which statement is true about the function and its graph?

(a) The value of f(–10) = 82

(b) The graph of the function is a parabola.

(c) The graph of the function opens down.

(d) The graph contains the point (20, –8).

(e) The graph contains the point (0, 0).

Learn more about Functions here

brainly.com/question/13159926

#SPJ1

8 0
1 year ago
A car travels at 48 mph for 2 hours and 40 minutes.<br> How far has it traveled?
Basile [38]

Answer:

128 miles

Step-by-step explanation:

brainiest pls

6 0
2 years ago
HELP I GOT STUCK!!!!!!
Ivan

Answer:

8.0023 x 10^4

Step-by-step explanation:

To write it you move the decimals, and raise the 0s as exponents


Plz mark as brainliest!


~CoCo

4 0
3 years ago
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