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Vikki [24]
3 years ago
8

In the drawing g>h. which statement about the volumes of the two cylinders is true

Mathematics
1 answer:
Contact [7]3 years ago
7 0

Answer:

The bottom option for ttm

Step-by-step explanation:

The volume of the left-hand cylinder is less than the volume of the right-hand cylinder.

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Move constant over (5x=38+2), combine terms (5x=40), divide both sides by 5 (x=8)
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4. A horizontal ellipse, centered at the origin has a major axis of 10 units and minor axis of 8 units. Write the
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Answer:

\frac{x^2}{25} +\frac{y^2}{16} =1

Step-by-step explanation:

For ellipses, the length of the major axis is represents as:

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In this case since the major axis is equal to 10 units:

10=2a

solving for the semi-major axis a :

a=10/2\\a=5

and also the minor axis of an ellipse is represented as:

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Since the minor axis has a length of 8 units:

8=2b

solving for b:

b=8/2\\b=4

Now we can use the equation for an ellipse centered at the origin (0,0):

\frac{x^2}{a^2} +\frac{y^2}{b^2} =1

and substituting the values for a and b:

\frac{x^2}{5^2} +\frac{y^2}{4^2} =1

and finall we simplify the expression to get the equation of the ellipse:

\frac{x^2}{25} +\frac{y^2}{16} =1

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3 years ago
The Venn diagram shows the results of two events resulting from rolling a number cube.
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Answer:

P(A|B)=\frac{2}{3}

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P(A) =\frac{2}{3}

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We use the Venn diagram to calculate the desired probabilities.

Note that there are 6 possible results in the sample space

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Then note that in the region representing the intercept of A and B there are two possible values.

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P(A) = \frac{4}{6} = \frac{2}{3}

In the region that represents event B there are 3 possible outcomes {1, 2, 6}

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P(B) = \frac{3}{6} = \frac{1}{2}.

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P(A | B)=\frac{P(A \ and\ B)}{P(B)}\\\\P(A | B)=\frac{\frac{1}{3}}{\frac{1}{2}}\\\\P(A|B)=\frac{2}{3}

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