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Elden [556K]
2 years ago
10

Can someone plsss help me with these questions????

Mathematics
1 answer:
Jobisdone [24]2 years ago
3 0

The surface area of the shape is 194 square units and the volume of the figure is 620 cubic feet

<h3>The surface area of the shape</h3>

To do this, we simply calculate the area of each face, and add up the individual areas.

So, we have:

Surface area = Top areas + 2 * Side areas + Back area

This gives

Surface area = (6 * 4 + 3 * 4 + 5 * 4 + 3 * 4) + 2 * (6 * 6 + 5 * 3) + 6 * 4

Evaluate

Surface area = 194

Hence, the surface area of the shape is 194 square units

<h3>The volume of the shape</h3>

To do this, we simply calculate the volume of the box, and the volume of the prism, then add up the individual areas.

So, we have:

Volume = Box + Prism

This gives

Volume = 10 * 8 * 6.5 + 0.5 * 8 * 10 * 2.5

Evaluate

Volume = 620

Hence, the volume of the figure is 620 cubic feet

Read more about volume at:

brainly.com/question/1972490

#SPJ1

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What is the distance between (0, 0) and
sp2606 [1]

Answer:

C. 17

Step-by-step explanation:

Distance formula:

\sqrt{(x_2 - x_1)^{2} +  {(y_2 - y_1)}^{2}  }  \\  \\ =   \sqrt{ {(8 - 0)}^{2} + ( {15 - 0})^{2}  }  \\  \\   = \sqrt{ {(8)}^{2}  +  {(15)}^{2} }  \\  \\  =  \sqrt{64 + 225}  \\  \\  =  \sqrt{289}  \\  \\  = 17

6 0
3 years ago
The function f(x)=x−−√ is reflected over the x-axis, translated 4 units down and 5 units to the left, then vertically stretched
Gnesinka [82]

Transformation involves changing the position of a function.

The equation of the new function is: \mathbf{g(x) = -3\sqrt{x + 5} - 12}

The function is given as:

\mathbf{f(x) = \sqrt x}

The rule of reflection across the x-axis is:

\mathbf{(x,y) \to (x,-y)}

So, we have:

\mathbf{f'(x) = -\sqrt x}

The rule of translation, <em>4 units down and 5 units left </em>is:

\mathbf{(x,y) \to ( x + 5,y-4)}

So, we have:

\mathbf{f"(x) = -\sqrt{x + 5} - 4}

The rule of vertical stretch by a factor of # is:

\mathbf{(x,y) \to (x,3y)}

So, we have:

\mathbf{g(x) = 3(-\sqrt{x + 5} - 4)}

\mathbf{g(x) = -3\sqrt{x + 5} - 12}

Hence, the equation of the new function is:

\mathbf{g(x) = -3\sqrt{x + 5} - 12}

Read more about transformation at:

brainly.com/question/13801312

8 0
3 years ago
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To make a cup of tea, 35.5mL of milk is added to 65.45mL of plain tea. How much milk-tea is there in the cup?
valina [46]

Answer 29.95 your welcome.

Step-by-step explanation:

Ok so you will just need to subtract 65.45-35.5 and get your answer.

Ps could have used a calculator.

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Complete the synthetic division problem below 2|1 7 -18 WHATS is the quotient polynomial form? a x+7 b x+9 c x-9 d x-7
3241004551 [841]

Answer:B: x+9

Step-by-step explanation:

8 0
4 years ago
50 points, brainIiest, 5 stars, and a thanks. please help me :(
Ulleksa [173]

Answer:

10

Step-by-step explanation:

Hope it helps!

4 0
3 years ago
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