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Goryan [66]
3 years ago
12

During math class, Laura stated that the two cylinders shown below have the same volume. Jean interrupted Laura and argued that

the volumes of the two cylinders are different. Their
eacher explained that Laura was correct.

Mathematics
1 answer:
maria [59]3 years ago
5 0

Answer:

3rd option

Step-by-step explanation:

Cavalieri's principle states that two figures which have the same height and  same cross-sectional area have the same volume

the height of the cylinders are both 42

the diameter of both figures is 24 as the diameter of the second cylinder = 12 x 2 = 24

the radius of the cylinders are both equal to 12

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

thus the volumes should be equal

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Trying to find the missing segment to the triangle in the attached image.
Inga [223]

Answer:

44 units length

Step-by-step explanation:

The side splitter theorem states that if a line is parallel to a side of a triangle and the line intersects the other two sides, then this line divides those two sides proportionally. Therefore:

20/10 = x/22

20/10*22 = x

44 = x

3 0
4 years ago
The price for the items ordered for lunch was $23.45. How much would the price be after tax and tip if the tax rate is 8% and yo
miv72 [106K]
23.45 × .08 = 1.88
23.45 × .2 = 4.69
23.45 + 1.88 + 4.69 = 30.02
The total price would be $30.02.
8 0
3 years ago
Can someone help me with my algebra?
SIZIF [17.4K]

Answer:

The top graph

Solutions:

-2

0

Step-by-step explanation:

The given quadratic function in factored form is

f(x) =  - (x + 2)(x - 2)

This is a parabola that has x-intercepts at (-2,0) and (2,0)

This parabola opens downward because the leading coefficient is less than 1.

The second function is

g(x) = 2 |x  + 2|

This is an absolute value function with vertex at (-2,0).

Therefore the graph that shows the solution to f(x)=g(x) is the top graph.

Hence the solution is x=-2,x=0

4 0
3 years ago
Can somebody help me?
Black_prince [1.1K]

Answer:

C) v≤-5

Step-by-step explanation:

4v\leq -20

Divide each side by 4,

v\leq -5

5 0
3 years ago
A circle graph titled Bachelor's Degrees Earned in the United States from 2009 to 2010. 22 percent is business, 10 percent is so
Helga [31]

Answer:

a) 60 graduates

b) Business and social science.

Step-by-step explanation:

In United States, from 2009 to 2010 the Bachelor's Degrees graduates are made up of 22% for business, 10% for social science, 8% is health related, 6% is education and 54% is others. Given that a sample of 1000 college graduates where used,

a) Number of graduates with education degree is equal to 6% of the total college graduates. Therefore:

Number of graduates with education degree = 6% × 1000 = 0.06 × 1000 = 60 graduates

b) Number of graduates with business degree = 22% × 1000 = 0.22 × 1000 = 220 graduates

Number of graduates with social science degree = 10% × 1000 = 0.1 × 1000 = 100 graduates

Number of graduates with health related degree = 8% × 1000 = 0.08 × 1000 = 80 graduates

Number of graduates with other degree = 54% × 1000 = 0.54 × 1000 = 540 graduates

Since Many graduates earn degrees in fields that result in high-paying jobs, the two fields most likely pay more than the others are that of business and social science.

8 0
3 years ago
Read 2 more answers
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