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alex41 [277]
3 years ago
12

A cone has a diameter of 12 ft and a slant height of 20 ft. Explain whether tripling both dimensions would triple the surface ar

ea.
Mathematics
1 answer:
Ratling [72]3 years ago
8 0
<span>Tripling both dimensions would NOT triple the surface area.  If you triple both dimensions, then the surface area is 9 times as long as the surface area of original cone.</span>
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A triangle has a base of 7 1/8 feet and height 7 1/5 ft. what is the area as a mixed number
sleet_krkn [62]

The answer is 25 13/20 square feet.

In order to complete this operation, it is first best to change your mixed numbers into improper fractions.

7 1/8 = 57/8

7 1/5 = 36/5

Now that we have these, we can put them into the triangle formula.

A = 1/2bh

A = (1/2)(57/8)(36/5)

A = 1026/40

You can then simplify this fraction by dividing the top and bottom by a factor of 2.

A = 513/20

Then, because we know 20 goes into 500, 25 times, we can pull that out and be left with a remainder of 13/20.

A = 25 13/20

8 0
3 years ago
Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Check
Kisachek [45]
<h3>1. The term -2(x-2)^2 is simplified by first squaring the expression (x – 2). </h3><h3>TRUE </h3><h3>2. The simplified product is a binomial. TRUE</h3><h3>3. After multiplying, the like terms are combined by adding and subtracting.</h3><h3>TRUE </h3><h3>4. The parentheses are eliminated through multiplication.  TRUE</h3><h3>5. The final simplified product is  -28x^2 + 8x - 8 FALSE</h3>

Step-by-step explanation:

Here, the given expression is :

F(x)  = 3x(x- 12x) + 3x^2-2(x-2)^2

Now, let us first solve the given expression step wise:

F(x)  = 3x(x-12x) +3x^2 -2(x-2)^2\\= 3x(-11x) +3x^2 -2(x^2 +4 -4x)\\= -33x^2 + 3x^2 -2x^2 -8+8x\\= -32x^2 +8x - 8\\\implies F(x)  = -32x^2 +8x - 8

Now, here the given statements are:

1. The term -2(x-2)^2 is simplified by first squaring the expression (x – 2).

TRUE

2. The simplified product is a binomial. TRUE

3. After multiplying, the like terms are combined by adding and subtracting.

TRUE

4. The parentheses are eliminated through multiplication.  TRUE

5. The final simplified product is  -28x^2 + 8x - 8 FALSE

As the simplified expression is: (-32x^2 +8x -8)

7 0
3 years ago
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Katyanochek1 [597]
Its the third answer, how much gas he has after one hour
7 0
2 years ago
What is the rule for the reflection?
Step2247 [10]
<span>Reflection in the line y = x. A reflection in the line y = x can be seen in the picture below in which A is reflected to its image A'. The general rule for a reflection in the y-axis: (A, B) (B, A)</span>
4 0
3 years ago
Read 2 more answers
Please help, due today
patriot [66]

Answer:

I am a little late but here is the answer

The graph of a non-proportional linear relationship is a straight line that does not pass through the origin.

Non-proportional linear relationships can be expressed in the form y = m x  + b

With increase in proportion of one quantity, the proportion of the other quantity decreases and with decrease in proportion of one quantity , the proportion of the other quantity increases .

Step-by-step explanation:

From Graph :

The graph of a non-proportional linear relationship is a straight line that does not pass through the origin.

From Equation :

Non-proportional linear relationships can be expressed in the form y = m x  + b, where  , m is the slope of the line, and b represents the y-intercept.

From Table:

With increase in proportion of one quantity, the proportion of the other quantity decreases and with decrease in proportion of one quantity , the proportion of the other quantity increases .

4 0
3 years ago
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