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3 years ago

Matt has a block. He uses one of the flat surfaces of the block to trace a triangle. What type of solid figure is Matt's block?

Mathematics

2 answers:

Katen [24]3 years ago

6 0

Triangular prism OR Pyramid

Zigmanuir [339]3 years ago

6 0

Answer:

Triangular prism
Triangular based pyramid
Square based pyramid

Step-by-step explanation:

We are given that Matt uses a 3-D figure and used it to get a 2-D imprint of triangle on a paper.

We need to find what kind of block Matt was using.

Any 3-D figure which have triangle as one of its face can be used by Matt.

Triangular prism
Triangular based pyramid
Square based pyramid

All the above mentioned 3-D figure have a triangle as one of the face.

Hence, Matt could have used any of the above mentioned solid figure.

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The base of a solid is the region in the first quadrant between the graph of y=x2 and the x -axis for 0≤x≤1 . For the solid, eac

nata0808 [166]

Answer:

The volume of the solid is π/40 cubic units.

Step-by-step explanation:

Please refer to the graph below.

Recall that the area of a semi-circle is given by:

$\displaystyle A=\frac{1}{2}\pi r^2$

The volume of the solid will be the integral from x = 0 to x = 1 of area A. Since the diameter is given by y, then the radius is y/2. Hence, the volume of the solid is:

$\displaystyle V=\int_0^1\frac{1}{2}\pi \left(\frac{y}{2}\right)^2\, dx$

Substitute:

$\displaystyle V=\frac{1}{2}\pi\int_0^1\left(\frac{x^2}{2}\right)^2\, dx$

Simplify:

$\displaystyle V=\frac{1}{2}\pi \int_0^1\frac{x^4}{4}\, dx$

Integrate:

$\displaystyle V=\frac{1}{2}\pi \left[\frac{x^5}{20}\Big|_0^1\right]$

Evaluate:

$\displaystyle V=\frac{\pi}{40}\left((1)^5-\left(0\right)^5\right)=\frac{\pi}{40}\text{ units}^3$

The volume of the solid is π/40 cubic units.

4 0

3 years ago

What is the solution to the equation below? √2x/√x-1=2 A. 4 B. 2 C. 5 D.3

nikdorinn [45]

Given:

The given equation is:

$\dfrac{\sqrt{2x}}{\sqrt{x-1}}=2$

To find:

The solution for the given equation.

Solution:

We have,

$\dfrac{\sqrt{2x}}{\sqrt{x-1}}=2$

On simplification, we get

$\sqrt{2x}=2\sqrt{x-1}$

Squaring both sides, we get

$2x=4(x-1)$

$2x=4x-4$

$2x-4x=-4$

$-2x=-4$

Divide both sides by -2.

$x=\dfrac{-4}{-2}$

$x=2$

Therefore, the correct option is B.

6 0

3 years ago

Ian is playing video games. For every 11 enemies he defeats, he gets 6 points. If he has 24 points at the end of the game, how m

ohaa [14]

if he has 24 point he scored 24/ 6 = 4 times

As he score points every 11 ennemies,

He had : 4*11= 44 ennemies.

6 0

2 years ago

PLEASE HELP!

anyanavicka [17]

A customer that uses an internet plan that costs $10 per month is expected to give a customer rating of 6

<h3>How to determine the customer rating?</h3>

We start by calculating the regression equation of the table of values using a graphing calculator.

Using the graphing calculator, we have:

y = 0.04x + 5.75

When the cost is $10 per month, it means that

x = 10

So, we have:

y = 0.04 * 10 + 5.75

Evaluate

y = 6.15

Approximate

y = 6

Hence, a customer that uses an internet plan that costs $10 per month is expected to give a customer rating of 6

Read more about regression equations at:

brainly.com/question/17844286

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8 0

2 years ago

Liana started to evaluate the function f(x) = 2x2 – 3x + 7 for the input value 2.

IrinaVladis [17]

Answer: 9

Step-by-step explanation:

4(2) - 3(2) +7=

8 - 6 +7=

2+7=

8 0

3 years ago

Read 2 more answers