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soldier1979 [14.2K]
4 years ago
15

The cup was filled at a constant rate. It started empty. After 2 seconds, it held 70 cm^3 of water.

Mathematics
1 answer:
nydimaria [60]4 years ago
8 0

Answer:

About 90%

Step-by-step explanation:

If the cup was filled at a constant rate, then the cup fills at 70/2=35 cubic centimeters per second. The formula for the volume of a cone is \frac{1}{3} \pi r^2 h, or in this case \frac{112}{3}\pi cubic centimeters. After 3 seconds, the cup would have 35*3=105 cubic centimeters of water inside of it, or about 89.52% which rounds to 90%. Hope this helps!

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Jan is cutting a rectangular pan of brownies. She cutthem in half and then cut each of those has and has again she did the same
Vinvika [58]

Answer:

She has 16 brownies

Step-by-step explanation:

Initially cut rectangular pan in to two halves.

Then cut each half in half again.

Now total pieces = 4

Now repeat cutting half on other side:

total pieces =8

Now divide each half into another half.

total pieces = 8 x 2 = 16

As can be shown in figure:

Black = first half

pink = dividing each half into another half.

8 0
3 years ago
Can someone explain?
natita [175]

Explanation:

<u>Statement 2</u>:

  Angle J is congruent to itself

<u>Reason 2</u>:

  Reflexive property of congruence

__

<u>Statement 3</u>:

  ΔHIJ ~ ΔGHJ

<u>Reason 3</u>:

  SAS similarity theorem

_____

The sides given as proportional (having the same ratio) are corresponding sides in the two triangles. The first pair of sides (HJ, GJ) are named by the first and last letters of the triangle names, so correspond. The second pair of sides (IJ, HJ) are named by the last two letters of the triangle names, so correspond.

The angle between these corresponding sides is the one at the vertex whose name is the point shared by the sides. In the first triangle, the two sides of interest are HJ and IJ, which share the point at J. Thus angle J is the angle between these two sides. In the second triangle, the two sides of interest are GJ and HJ, which share the point at J. Hence angle J is the angle between these two sides, also.

So, we have corresponding sides that are proportional and the angle between them that is congruent (to itself). This allows us to invoke the SAS theorem for triangle similarity.

7 0
3 years ago
Estimate the product of 204 and 0.46 Explain what method of estimation you used and why it works.
Ahat [919]
The estimated product would be 100.00 because if u estimate 0.49 to 0.50 and 204 to 200, multiply it and u would get 100.00
8 0
3 years ago
Read 2 more answers
Is the ordered pair a solution to the given system? True or False.
Andre45 [30]
True . In the ordered pair -4 is x while -12 is y. Now that you know this you can substitute the pair into the equations.

6×-4 is -24. -24 +12 equals -12. -12=6×-4+12. Same for the second one.
6 0
3 years ago
A campsite is 12.88 miles from a point directly below Mt. Adams. If the angle of elevation is 15.5° from the camp to the top of
nata0808 [166]

Answer:

3.57 miles

Step-by-step explanation:

Please consider the attachment.

We have been given that a campsite is 12.88 miles from a point directly below Mt. Adams. The angle of elevation is 15.5° from the camp to the top of the mountain. We are asked to find the height of the mountain.

We can see from the attachment that h is opposite side to angle 15.5 degrees and 12.88 miles in adjacent side.

We know that tangent relates opposite side of right triangle with its adjacent side.

\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}

\text{tan}(15.5^{\circ})=\frac{h}{12.88}

\text{tan}(15.5^{\circ})\cdot(12.88)=\frac{h}{12.88}\cdot(12.88)

12.88\cdot\text{tan}(15.5^{\circ})=h

h=12.88\cdot\text{tan}(15.5^{\circ})

h=12.88\cdot(0.27732454406)

h=3.5719401274928

h\approx 3.57

Therefore, the mountain is approximately 3.57 miles high.

4 0
3 years ago
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