All categories

4 years ago

The net of a rectangular prism is shown below. What is the total surface area of this prism

Mathematics

2 answers:

Lisa [10]4 years ago

6 0

Answer:

142 cm²

Explanation:

to find the surface area, you need to find the area of all of the boxes within the image above add them all together.

Starting in the middle row and working from left to right it is,

7×3+7×5+7×3+7×5

21+35+21+35=112

Than the bottom and top box is

3×5+5×3

15+15=30

Than you add both of them together,

112+30=142

Stels [109]4 years ago

3 0

Answer:

142 cm^2

Step-by-step explanation:

Okay, we can first break this down into 3 different rectangles.

3 x 5 rectangle

16 x 7 rectangle

3 x 5 rectangle.

From here, we just multiply these out and add them. 15 + 15 + 112 = 142. So our answer is 142 cm^2

You might be interested in

The height of a model rocket, H(t), is a function of the time since it was<br> launched, t.

laiz [17]

I believe its either A or C

7 0

3 years ago

Please help asap. Thank you! :)

Kruka [31]

When he cubed ,

Result is x³

On further squaring x³, he got = (x³)²

${x}^{6}$

<h3>Therefore, k = 6</h3>

7 0

2 years ago

U can help me with this

zvonat [6]

$16.50 since you want to multiply the budget per person by how many people their are

5 0

3 years ago

50 points! I understand A. and B. but I would really appreciate help with C.

FromTheMoon [43]

Answer:

$51.72\text{ cells per hour}$

Step-by-step explanation:

So, the function, P(t), represents the number of cells after t hours.

This means that the derivative, P'(t), represents the instantaneous rate of change (in cells per hour) at a certain point t.

So, we are given that the quadratic curve of the trend is the function:

$P(t)=6.10t^2-9.28t+16.43$

To find the <em>instanteous</em> rate of growth at t=5 hours, we must first differentiate the function. So, differentiate with respect to t:

$\frac{d}{dt}[P(t)]=\frac{d}{dt}[6.10t^2-9.28t+16.43]$

Expand:

$P'(t)=\frac{d}{dt}[6.10t^2]+\frac{d}{dt}[-9.28t]+\frac{d}{dt}[16.43]$

Move the constant to the front using the constant multiple rule. The derivative of a constant is 0. So:

$P'(t)=6.10\frac{d}{dt}[t^2]-9.28\frac{d}{dt}[t]$

Differentiate. Use the power rule:

$P'(t)=6.10(2t)-9.28(1)$

Simplify:

$P'(t)=12.20t-9.28$

So, to find the instantaneous rate of growth at t=5, substitute 5 into our differentiated function:

$P'(5)=12.20(5)-9.28$

Multiply:

$P'(5)=61-9.28$

Subtract:

$P'(5)=51.72$

This tells us that at <em>exactly</em> t=5, the rate of growth is 51.72 cells per hour.

And we're done!

7 0

3 years ago

What is n x 2 squared= 14

zepelin [54]

Answer:

n=3.5

Step-by-step explanation:

2²=4

14÷4=3.5

3.5×4=14

3.5×2²=14

7 0

2 years ago