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2 years ago

3 X 3/4= The answer lies between

Mathematics

1 answer:

Inga [223]2 years ago

6 0

Answer:

2 and 2 1/2

Step-by-step explanation:

3*3/4 = 9/4 This is slightly greater than 2

It lies between 2 and 2 1/2

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The cross-sectional areas of a right triangular prism and a right cylinder are congruent. The right triangular prism has a heigh

expeople1 [14]

Answer:

The correct answer is:

The volume of the triangular prism is equal to the volume of the cylinder

Step-by-step explanation:

Given that there are two figures

1. A right triangular prism and

2. Right cylinder

Area of cross section of prism is equal to Area of cross section of cylinder.

Let this value be <em>A</em>.

Also given that Height of prism = Height of cylinder = <em>6</em>

Volume of a prism is given as:

$V_{Prism} = \text{Area of cross section} \times Height$

$V_{Prism} = A \times 6 ........ (1)$

Cross section of cylinder is a circle.

<em>Area of circle</em> is given as: $\pi r^{2}$

Area of cross section, A = $\pi r^{2}$

Volume of cylinder is given as:

$V_{Cylinder} = \pi r^{2} h\\\Rightarrow V_{Cylinder} = A \times h\\\Rightarrow V_{Cylinder} = A \times 6 ...... (2)$

From equations (1) and (2) we can see that

$V_{Prism}=V_{Cylinder}$

Hence, the correct answer is:

Volume of prism is equal to the volume of cylinder.

3 0

2 years ago

Distinguish between an axoim and a theorem

Anton [14]

Answer:

An axiom is often a statement assumed to be true for the sake of expressing a logical sequence. ... These statements, which are derived from axioms, are called theorems. A theorem, by definition, is a statement proven based on axioms, other theorems, and some set of logical connectives.

Step-by-step explanation:

I think this is right, but don't quote me on this.

7 0

3 years ago

Which statements about the local maximums and minimums for the given function are true? Choose three options.

Nostrana [21]

Answer:

Over the interval [2, 4], the local minimum is –8.

Over the interval [3, 5], the local minimum is –8.

Over the interval [1, 4], the local maximum is 0.

Step-by-step explanation:

The true statements are:

Over the interval [2, 4], the local minimum is –8.

Over the interval [3, 5], the local minimum is –8.

Over the interval [1, 4], the local maximum is 0.

Lets discuss each option one by one:

Over the interval [1, 3], the local minimum is 0

This is a false statement. Look at the graph. The minimum point given is (3.4,-8). Therefore the local minimum is -8 not 0

Over the interval [2, 4], the local minimum is –8.

This statement is true because the given minimum point is(3.4, -8). Thus the local minimum is -8 which is true

Over the interval [3, 5], the local minimum is –8.

According to the given minimum point, the local minimum is -8 which is true

Over the interval [1, 4], the local maximum is 0.

Look at the graph. The maximum point given is (2,0). Thus this statement is true because local maximum is 0.

Over the interval [3, 5], the local maximum is 0.

This is a false statement because there is no maximum point

8 0

3 years ago

Read 2 more answers

Define the opposite and the absolute value of -8.

umka2103 [35]

Answer:

The opposite of -8 is 0 and the absolute value in 8

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Evaluate each expression for the given value of the variable.<br> x + 2x - x - 1; x = 2

MaRussiya [10]

x + 2x - x - 1

Substitute 2 for x into the expression.

(2) + 2(2) - (2) - 1

Multiply 2 * 2 first.

(2) + (4) - (2) - 1

Solve from left to right.
(2 + 4) - 2 - 1 = 6 - 2 - 1

6 - 2 - 1

Solve from left to right.
(6 - 2) - 1 = 4 - 1

4 - 1 = 3

<h3>Your answer is 3.</h3>

6 0

2 years ago

Read 2 more answers