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2 years ago

What expression represents the volume of the cylinder, in cubic units?

Mathematics

1 answer:

Nataly [62]2 years ago

7 0

Answer:

2πx3

Step-by-step explanation:

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4800 persons run a marathon, 1200 reach the finish line. What is the percent of people reach the finish line at the marathon?

Ket [755]

Answer: 25%

Step-by-step explanation: So first make the number of people who ran the marathon and the number of people who finished the marathon into a ratio

1200:4800

then make that into a fraction, 1200/4800

then make the percent of people who reached the marathon into a fraction, using 100 as the denominator and a variable as the numerator.

for example. p/100 (p, represents the percent)

then cross multiply.

1200x100=1200000

Last divide 1200000 by 4800 to get 25%.

7 0

2 years ago

Simone claims that the slope of the line through (-2, 7) and (3, 0) is the same as the slope of the line through (2, 1) and (12,

JulijaS [17]

Answer:

Simone is correct

Step-by-step explanation:

Given

Line 1:

$(x_1,y_1) = (-2, 7)$

$(x_2,y_2) = (3, 0)$

Line 2:

$(x_1,y_1) = (2, 1)$

$(x_2,y_2) =(12, -13)$

Required

Is Simone correct?

Slope (m) is calculated using:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

For Line 1

$m = \frac{0 - 7}{3 - (-2)}$

$m = \frac{0 - 7}{3 +2}$

$m = \frac{-7}{5}$

$m = -\frac{7}{5}$

For Line 2:

$m = \frac{-13 - 1}{12 -2}$

$m = \frac{-14}{10}$

Divide by 2/2

$m = \frac{-14/2}{10/2}$

$m = \frac{-7}{5}$

$m = -\frac{7}{5}$

By comparison, both lines have the same slope.

Hence, Simone is correct

3 0

2 years ago

15 POINTS !!

Roman55 [17]

The scale factor is 0.25, not 4 in this case. You can determine this by looking at the comparison of the triangles. The first triangle is 4.4 and the second one is 1.1, so the scale factor is determined by looking at what is happening to the first one to result in the second.

0.25 is 1/4. The second hypotenuse is 1/4 the hypotenuse of the first one.

4 0

3 years ago

Read 2 more answers

Evaluate the polynomial function shown below at 2 and choose the correct response

mrs_skeptik [129]

$\bf f(x)=3x^4+2x^3-5x^2-2x-4 \\\\\\ f(2)=3(2)^4+2(2)^3-5(2)^2-2(2)-4 \\\\\\ f(2)=48+16-20-4-4\implies f(2)=64-28\implies f(2)=36$