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____ [38]
3 years ago
9

I need help What is the surface area of the following figure? A 168 B 192 PLEASE HELP

Mathematics
2 answers:
mario62 [17]3 years ago
8 0

Answer:

168 in^{2}

Step-by-step explanation:

Area of triangle = bh/2 = 6(4)/2 = 12

Area of side of tent = 6(5) = 30

Area of other side of tent = 30

Area of sides of recangular box = 4(6)(2) = 48

Area of bottom = (6)(6) = 36

Total surface area = 24 + 30 + 30 + 48 + 36 = 168 in^{2}

Juliette [100K]3 years ago
3 0

Answer:

<u>305 in^2</u>

Step-by-step explanation:

First step is always to break up the problem into parts and write out our formulas- in this case, let's solve the easier part first, the bottom rectangular box type shape.

Area of a square or rectangle: A= length * height

Area of a triangle: A = 1/2 * length * height

Each side is 6x2, making each side 12 in^2, times four sides equals 48 in^2

The box also has a bottom, with dimensions of 6x6, equaling 36 in^2. <em>be careful not to include the top, it may be included in this part of the problem that we're splitting up, but it's not in the actual figure</em>.

Next up is the top portion- let's calculate the two triangular sides first. again, A=(1/2)l*h . so, these triangles are (1/2) * 5 * 4 , or 10 in^2 . With two triangular sides that's 20 in^2 total.

And now we only have two sides left, the rectangular parts of the triangular prism. They have a dimension of 5*6, equalling 30, and with two sides its a total of 60 in^2.

All of these sides can be added together:

48 + 36 + 20 + 60 = 305 in^2

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3 years ago
If a tower casts a shadow 11 feet long the distance from the top of the tower to the end of the shadow is 61 feet .. How many fe
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3 years ago
answer to #10 and #13. can’t figure out how to use interval notation to write domain and range for graphs.
Lyrx [107]
Interval notation is used to write a set of real numbers from one value to another value.
On the left, you start with left parenthesis or left bracket.
Then you follow by two numbers separated by a comma.
You then finish with a right parenthesis or right bracket.
To include a number, use a square bracket.
To exclude a number use parenthesis.
To write the set of numbers, you need to list the smallest number in the set followed by the largest number in the set. An interval is always stated with two numbers, from the smallest in the set to the largest in the set. The numbers are always separated by a comma.

Examples:

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Interval: [6, 10]
Notice brackets since both 6 and 10 are included in this interval.

2) All number from 5 to 20, including 5 but not including 20.
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Bracket with 5 means include 5. Parenthesis with 20 means 20 is not included.

3) All numbers greater than or equal to 7.
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Interval: [7, ∞)
The 7 has a bracket because it is included. Infinity always has parenthesis.
With the infinity symbol, always use parenthesis, not square bracket.

4) All numbers less than -5.
Algebra: x < - 5
Interval: (-∞, 5)

Now for your problems.

10.
This is a line. Both the domain and range all all real numbers.
That means the interval is from negative infinity to positive infinity.
(-∞, ∞)
Both the domain and range are that same interval, all real numbers, from negative infinity to positive infinity.

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Since zero is included, we use a left bracket, not left parenthesis.
With infinity, we alyways use parentheses, not brackets.
8 0
3 years ago
A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 160 lbs and each b
german

Answer:

16 boxes

Step-by-step explanation:

160+50x=1000

Solve for the x and you'll get 16.8. Now, because you can't have a fraction of a box, and you can't go over the limit, the answer is 16 boxes.

(How to solve for x:

Get x by itself by subtracting 160 to both sides.

50x=1000-160

50x=840

Divide both sides by 50.

x=16.8)

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