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BartSMP [9]
3 years ago
14

a cup was filled at a constant rate. it started empty. after 2 seconds, it held 70 cm cubes of water. the radius is 4 and te hei

ght is 7. find the percent of the cup that is filled with water after 3 seconds. this is a cone
Mathematics
1 answer:
Viktor [21]3 years ago
8 0

Answer:

89.51%

Step-by-step explanation:

Assuming given units are in cm

Tge rate of filling the cup is 70/2= 35 cm3/s

Volume of the cup is \pi r^{2}\frac {h}{3} and replacing r with 4 cm and h with 7 cm then the volume is equivalent to

\pi*4^{2}*\frac {7}{3}= 117.3 cm^{3}

Volume filled after 3 seconds will be 3*35=105 cm3

Percentage filled is \frac {105}{117.3}\times 100\approx 89.51

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Fynjy0 [20]

Answer:

I guess that we have the equation:

(1/3)^2 + 3^2 =

And we want to solve it.

Here just remember that:

3^2 = 3*3 = 9

then:

(1/3)^2 = (1/3)*(1/3) = 1/9

replacing these in the expression, we get:

(1/3)^2 + 3^2 = 1/9 + 9

If we want to write this as a single fraction, we can rewrite:

1/9 + 9 = 1/9 + (9/9)*9

           = 1/9 + 81/9 = (1 + 81)/9 = 82/9

4 0
3 years ago
A Recipe calls for 1/2 cup of tomatoes for everyone 1/8 cups of jalapeños if you accidentally poured in 1 1/2 cups of tomatoes h
slavikrds [6]

Answer:

She should use 3/8 cup of jalapenos.

Step-by-step explanation:

This is because 1 1/2 is three times of 1/2 so you times 1/8 by three as well which equals to 3/8 cup of jalapenos.

8 0
3 years ago
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You need to make at least 360 wraps for a party. You can make 9 wraps per minute. How long will it take you to make the number o
saveliy_v [14]

Answer:

40

Step-by-step explanation:

im not 100% sure, but I think it's 40

5 0
2 years ago
What is the area of the shaded region?
Verdich [7]
<h2>Area of Composite Shapes</h2>

To find the area of composite shapes, we can break the bigger shape down into small, simpler shapes, and find the sum of their areas.

For this triangle, we will need to know the formula to find the area of a triangle:

A=\dfrac{1}{2}bh

<h2>Solving the Question</h2>

The given shape can be seen as one large triangle with a little triangle cut out of it. To find the shaded region, we can:

  1. Find the area of the large triangle
  2. Find the area of the little triangle
  3. Subtract the area of the little triangle from the large triangle

<h3>Area of the Large Triangle</h3>

A=\dfrac{1}{2}bh

⇒ Plug in the values given for the base and height:

A=\dfrac{1}{2}(5)(2+4+6)\\\\A=\dfrac{1}{2}(5)(12)\\\\A=(5)(6)\\\\A=30 mm^2

<h3>Area of the Small Triangle</h3>

A=\dfrac{1}{2}bh

⇒ Plug in the values given for the base and height:

A=\dfrac{1}{2}(3)(4)\\\\A=(3)(2)\\\\A=6mm^2

<h3>Subtract the Area of the Small Triangle from the Area of the Large Triangle</h3>

30 mm^2-6mm^2\\=24mm^2

<h2>Answer</h2>

The area of the shaded region is 24mm^2.

5 0
2 years ago
What is the equivalent expression for 80+20n?
Shkiper50 [21]

Answer:

100N

Step-by-step explanation:

BC 80+20=100. THEN ADD THE N AND YOU GET 100N

8 0
2 years ago
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