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mars1129 [50]
3 years ago
14

a pedestal in a craft store is in the shape of a triangular prism. The bases are right triangles with side lengths of 12 centime

ters, 16 centimeters, and 20 centimeters. The store owner wraps a piece of rectangular cloth around the pedestal, but does not cover the identical bases of the pedestal with cloth. The area of the cloth is 192 square centimeters. What is the distance around the base of the pedestal? how do you know? What is the height of the pedestal? how did you find your answer?
Mathematics
1 answer:
Lostsunrise [7]3 years ago
4 0
You found your area wrong as soon as you gt 192 you multiply by 0.50 getting 96 then you divide by 20 to get 4.8 centimeters
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last week 24% of the campers at a state park were visiting from out of state this weekend additional 12% are from out of state i
lesya692 [45]
Work: x/175=12%/100
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5 0
3 years ago
The washer in the image has an inner diameter of 1/4 inch. The outer diameter measures 3/4 inch, and the washer is 1/4 inch thic
Talja [164]

Answer:

  0.14 lb . . .  closest choice is 0.11 lb

Step-by-step explanation:

The inside and outside radii are 1/8 in and 3/8 in, respectively. Then the area of the top of the washer is ...

  A = π(R² -r²) = π((3/8)² -(1/8)²) = π(9/64 -1/64) = π/8 . . . square inches

The height of the stack of 5 washers will be 5×(1/4 in) = 5/4 in. So, the volume of material in the stack of washers is ...

  V = Bh = (π/8)(5/4) = 5π/32 . . . cubic inches

The weight of material is the product of volume and density, so is ...

  W = (5π/32 in³)(0.285 lb/in³) ≈ 0.1399 lb ≈ 0.14 lb

_____

<em>Comment on the question</em>

Since this answer does not correspond to any of the offered choices, we suggest you ask your teacher to work this out for you. We suspect they will have difficulty justifying any of the answer choices shown here. (0.11 lb corresponds to 4 washers, not 5.)

5 0
4 years ago
QUESTION 3<br><br> Find the interest. Round to the nearest cent.<br><br> $1850 at 8% for 14 months
Genrish500 [490]

Answer:

I=\$172.67

Step-by-step explanation:

we know that

The simple interest formula is equal to

I=P(rt)

where

I is the Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=14/12\ years\\ P=\$1,850\\r=0.08

substitute in the formula above

I=1,850(0.08(14/12))

I=\$172.67

3 0
3 years ago
A 10 ft. tent pole has a support rope that extends from the top of the pole to the ground. The rope and the ground form a 30 deg
GrogVix [38]
So you have a pole that is 10 feet tall that has a rope that goes from the top to the ground, the rope being 30 degrees to the ground... You can draw a right triangle using these dimensions. Now that you have a triangle, you look at where your 30degree angle is related to the side whose length you know and the side whose length you wish to find. The side you know is opposite from the 30 degrees while the side you want to find is the hypotenuse, for it goes down at an angle. You will use the opposite and hypotenuse sides, so, according to SOH CAH TOA, you will be using sin.
\frac{opposite}{hypotenuse}=sin\theta,\theta=30,opposite=10,hypotenuse=?
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6 0
3 years ago
Read 2 more answers
Evaluate (-48)+(-110)+27
Tpy6a [65]

Answer:

131

Step-by-step explanation:

(-48)+(-110)+27

Remember one of the most important math rules

- * - = +

-*+= -

+*+ =+

+*-=-

That been said

We can now perform the operation

-48-110+27= -131

5 0
3 years ago
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