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3 years ago

6

The cross-sectional areas of a triangular prism and a right cylinder are congruent. The triangular prism has a height of 10 unit

s, and the right cylinder has a height of 7 units. Which conclusion can be made from the given information?

1 answer:

kozerog [31]3 years ago

3 0

Answer:

Step-by-step explanation:

that the triangular prism has more volume

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what is the first step used in solving this equation 2x+9y=28 and 3x-3y=14. Identify the variable that will be solved for when y

umka2103 [35]

Answer:

Multiply the second equation's terms by 3. Solve for x.

Step-by-step explanation:

You will get:

2x+9y=28

9x-9y=42

Add them to get:

11x=70.

You can solve from there.

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3 years ago

Leah cut a 7 inch ribbon into pieces that are 1/2 an inch long. How many pieces of ribbon did she cut?

photoshop1234 [79]

14 ribbons.

7 divided by 1/2 is 14. dividing by a fraction or decimal is just like multiplying without the decimal point or numerator.

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3 years ago

Right angled triangle calc: find a, b=24, c=33.94113

Ksenya-84 [330]

Use the Pythagorean theorem...
a²+b²=c², in this case a²=c²-b<span>²</span>

a²+24²=33.94113<span>²

a</span><span>²+576=1,152.00031

a</span><span>²=576.000306

a=24 (If you need the exact number, not rounded, it is 24.0000064)</span>

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3 years ago

A 748-N man stands in the middle of a frozen pond of radius 4.0 m. He is unable to get to the other side because of a lack of fr

Ber [7]

Answer:

The man will take 64 seconds to reach to the south shore of the frozen pond.

Step-by-step explanation:

Given:

Weight of the man = 748 N Mass of the man, $(m)= \frac{W}{g}$ = $\frac{748}{9.8}$ = $76.32$ kg

Radius of the pond $(r)$ = 4 m

Mass of the textbook = 1.2 kg

Velocity at which the textbook is thrown = 4 ms^1

We have to find the velocity of the man after the throw.

Let the velocity is $V_m$ .

Now using law of conservation of momentum we can find the $V_m$ value.

$m_(_b_)V_b_(_i_) +m_(_m_)V_m_(_i_) =m_(_b_)V_b_(_f_)+m_(_m_) V_m_(_f_)$

Considering $V_m_(_f_)=V_m$

And initial velocity of both the man and book i.e $V_b_(_i_)=0,\ V_m_(i_)=0$

So,

⇒ $0 =m_(_b_)V_b_(_f_)+m_(_m_) V_m$

⇒ Plugging the values.

⇒ $V_m=-\frac{m_(_b_)V_b_(_f_)}{m_(_m_)}$

⇒ $V_m=-\frac{1.2\times 4}{76.32}$

⇒ $V_m=-0.062$ ms^-1

Here the negative velocity is meant for opposite direction of the throw.

Numerically we will write, $V_m = 0.062$

With this velocity the man will move towards south.

We have to calculate the time taken by the man to move to its south shore.

And we know $velocity(v)\times time(t) = distance(d)$

Let the time taken be $t$ and $v\times t = d$ and $d=r$ then, $V_m\times t=r$

Then

⇒ $t=\frac{radius\ (r)}{V_m}$

⇒ Plugging the values.

⇒ $t=\frac{4}{0.062}$

⇒ $t =64$ sec

The man will take 64 seconds to reach to the south shore of the frozen pond (circular).

5 0

3 years ago

PLEASE HELP<br><br> Find the surface area of the triangular prism.

ASHA 777 [7]

Answer:

139

Step-by-step explanation:

First, find all the faces that you must find the areas of. In this case, you need to find the areas of two triangles and three rectangles.

In this triangular prism, the base is one triangle. If the area of the base is 7.75, we can assume that that holds true for both bases, and multiply 7.75 by 2 in order to find the area of both triangles.

Now find the area of each of the three rectangles by multiplying their individual heights and bases by each other. You should get 38, 47.5, and 38 as the areas of the rectangles.

Now add all the individual area's together. (They're bolded for clarity).

4 0

3 years ago