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Bingel [31]
4 years ago
13

Please help, this is my last question then I'm done school for the year! This will give you 50 points plus ill give you brainlie

st if you're correct!
A cooler has a 60-L capacity. Its internal length is 60 cm and its internal width is 35 cm. Determine the internal hight and the internal surface area for the cooler.
Hint: 1cm^3= 1ml
Mathematics
1 answer:
blagie [28]4 years ago
7 0

Answers:

Internal height is approximately 28.5714285714286 cm

Internal surface area is roughly 9628.57142857143 square cm

Round the values however you need to

==========================================================

Work Shown:

1 L = 1000 mL

1 L = 1000 cm^3

60 L = 60,000 cm^3 (multiply both sides by 60)

The cooler has volume of 60,000 cubic cm. Let V = 60000

Assuming the cooler is a rectangular prism (aka a block), then we can say

volume = length*width*height

V = L*W*H

60000 = 60*35*H

60000 = 2100H

2100H = 60000

H = 60000/2100

H = 28.5714285714286 which is approximate

And the surface area (SA) is

SA = 2*(LW + LH + WH)

SA = 2*(60*35 + 60*28.5714285714286 + 35*28.5714285714286)

SA = 9628.57142857143 which is also approximate

Units for the surface area are in square centimeters.

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Gabriel makes a model of a pyramid with the dimensions shown. A square pyramid. The square base has side lengths of 12 inches. T
GalinKa [24]

Answer:

Area of the square base: 144 in²

Area of each triangular face: 66 in²

Amount of paint needed: 408 in²

Step-by-step explanation:

We basically want to find the surface area of this square pyramid.

First, find the areas of the 4 triangular sides. The area of a triangle is denoted by: A=\frac{1}{2} bh, where b is the base and h is the height.

Here, the base coincides with the side length of the square, so b = 12. The height is 11, so h = 11. Plug these in:

A=\frac{1}{2} bh

A=\frac{1}{2} * 12 * 11 = 66 inches squared

Each triangular face is thus 66 inches squared.

Since there are 4 triangles, multiply 66 by 4: 66 * 4 = 264 inches squared

Now, find the area of the square base. The area of a square is: A = s * s, where s is the side length. Here, the side length is 12, so s = 12. Plug this into the equation:

A = s * s

A = 12 * 12 = 144

So, the square base is 144 inches squared.

Finally, add 144 to 264 to get the total area Gabriel needs to paint:

144 + 264 = 408 inches squared

6 0
3 years ago
Read 2 more answers
10 POINTS!!! FULL ANSWER WITH FULL STEP BY STEP SOLUTION PLEASE. DO BOTH PARTS OF 1 AND ALL OF 2.
diamong [38]
One A
y = e^x
dy/dx = e^x The f(x) = the differentiated function. Any value that e^x can have, the derivative has the same value. x is contained in all the reals.
One B
y = x*e^x
y' = e^x + xe^x Using the multiplication rule.
You want the slope and the value of the of y to be the same. The slope is y' of the tangent line
xe^x = e^x + xe^x
e^x = 0
This happens only when x is very "small" like x = - 4444444

y = e^x * ln(x) Using the multiplication rule again, we need the slope of the line with is y'
y1 = e^x
y1' = e^x
y2 = ln(x)
y2' = 1/x
y' = e^x*ln(x) + e^x/x So at x = 1 the slope of the line = 
y' = e^1*ln(1) + e^1/1
y' = e*0+e  = e
y = mx + b
y = ex + b
to find b we use y= e^x ln(x)

e^x ln(x) = e*x + b
e^1 ln(1) = e*1 + b
ln(1) = 0
0 = e + b
b = - e

line equation and answer.
y = e*x - e
8 0
3 years ago
What is the surface area of this right square pyramid?
inysia [295]

Answer:

it isn't 205 but my guess is its 115

6 0
3 years ago
This is related to my grade
spin [16.1K]
It depends on the weight of the assignment in the class
8 0
3 years ago
After stepping into a room with unusual lighting, Reagan's pupil has a radius of 1 millimeter. What is the pupil's area?
Alexeev081 [22]
Answer: The formula is PI * RADUIS²
So, multiplying the radius by itself is 1, and then multiplying 1 by PI is the same as 3.14 .



8 0
2 years ago
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