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Sedbober [7]
3 years ago
8

Rick took a 20-minute coffee break. at the end of the break, it was 10:00

Mathematics
2 answers:
lana [24]3 years ago
5 0
9:40 when rick took hes coffee break 
gladu [14]3 years ago
4 0
Rick started his coffee break at 9:40 am.
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A trough of water is 20 meters in length and its ends are in the shape of an isosceles triangle whose width is 7 meters and heig
Vaselesa [24]

Answer:

a) Depth changing rate of change is 0.24m/min, When the water is 6 meters deep

b) The width of the top of the water is changing at a rate of 0.17m/min, When the water is 6 meters deep

Step-by-step explanation:

As we can see in the attachment part II, there are similar triangles, so we have the following relation between them \frac{3.5}{10} =\frac{a}{h}, then a=0.35h.

a) As we have that volume is V=\frac{1}{2} 2ahL=ahL, then V=(0.35h^{2})L, so we can derivate it \frac{dV}{dt}=2(0.35h)L\frac{dh}{dt} due to the chain rule, then we clean this expression for \frac{dh}{dt}=\frac{1}{0.7hL}\frac{dV}{dt} and compute with the knowns \frac{dh}{dt}=\frac{1}{0.7(6m)(20m)}2m^{3}/min=0.24m/min, is the depth changing rate of change when the water is 6 meters deep.

b) As the width of the top is 2a=0.7h, we can derivate it and obtain \frac{da}{dt}=0.7\frac{dh}{dt}  =0.7*0.24m/min=0.17m/min The width of the top of the water is changing, When the water is 6 meters deep at this rate

8 0
3 years ago
35 points please answer pls pls pls
Sati [7]

Step-by-step explanation:

28. a=422000 (1+12%)^8

=1044856.46

29 a=13000 (1+15%)^-5

=6463.29

30 a=1250 (1+8%)^11

=2914.548

using compound interest formula

5 0
3 years ago
Given the figure, if ∠ABC is 20° and C is the center of the circle, what is the measure of the central angle ∠ACB? A) 40° B) 70°
kramer

Answer:

D) 140°

Step-by-step explanation:

The total number of degrees in a triangle is 180. Since both sides of the triangle are the radius of the circle, the triangle is isosceles. Therefore the two opposite angles are equal. Thus, the central angle is 180° − 2(20°) = 140°.

7 0
2 years ago
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Hannah has 350 marbles, she gave 50 to each student, how many students are there?
gulaghasi [49]
It would be 7 students
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3 years ago
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The ratio of coretta's weight to Justin's weight is 3:4. If corretta gains 5 pounds the ratio of their weights will be 4:5. How
Verdich [7]

Answer:

100 pounds

Step-by-step explanation:

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