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11 months ago

Find the surface area of this composite solid.

Mathematics

1 answer:

svetoff [14.1K]11 months ago

4 0

Answer: C, 93m^2

Step-by-step explanation:

first step is to find the surface area of the base. it's 3x3, so that would be 9m^2. the sides of the rectangular prism are 5x3, so one side is 15m^2. there are 4, so 15x4=60m^2. now for the top, which is a triangular prism. each side has a height of 4 and a base of 3. the area of a triangle is 1/2bh, so 1/2(3)(4), which is 6. 4 of these makes 24 m^2. add up all of final numbers to get 9+60+24. this comes to 93m^2, or C.

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Explain how to find a common denominator of 3/4 and 1/5 what is a common denominator of 3/4 and 1/5 show how you can rename 3/4

Paul [167]

Answer:

Common denominator = 20

New fractions are: $\dfrac{15}{20}\ and\ \dfrac{4}{20}$

Step-by-step explanation:

Given:

The fractions are given as:

$\dfrac{3}{4}\ and\ \dfrac{1}{5}$

The denominators of the first fraction is 4 and that of the second fraction is 5.

In order to find the common denominator for 4 and 5, we have to find the least common multiple of each of the numbers.

Multiples of 4 = 4, 8, 12, 16, <u>20</u>, 24, 28,....

Multiples of 5 = 5, 10, 15, <u>20</u>, 25, 30,....

Therefore, the least common multiple of 4 and 5 is 20. So, the common denominator is 20.

Now, multiply the numerator and denominator of each fraction by the same suitable number such that the denominator becomes 20.

So, for the first fraction, 4 is in the denominator.

So, 4 when multiplied by 5 gives 20.

So, we multiply the numerator and denominator of first fraction by 5. This gives,

$\dfrac{3}{4}=\dfrac{3\times 5}{4\times 5}=\dfrac{15}{20}$

Now, for the second fraction, 5 is in the denominator.

So, 5 when multiplied by 4 gives 20.

So, we multiply the numerator and denominator of first fraction by 4. This gives,

$\dfrac{1}{5}=\dfrac{1\times 4}{5\times 4}=\dfrac{4}{20}$

Therefore, the new fractions after making the denominators same are:

$\dfrac{15}{20}\ and\ \dfrac{4}{20}$

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3 years ago

Half-life formula: A = A0(0.5) t/h

Dahasolnce [82]

Answer: the answer is 4

Step-by-step explanation:

when looking for the half life, it says to look for when the initial amount is half of what it used to be, because it is 100, 100 divided by 2 is 50, and when looking at the hours (x value) for 50 it says 4.

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2 years ago

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Tom [10]

It would be 24 months

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2 years ago

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NO SCAM PLEASEEEE

damaskus [11]

The answer is 11/36

2/12 chance of rolling fours

because there are 2 sides containing a four on both dice combined and 12 sides in total.

Doubles mean you have to roll the same number simultaneously so let’s say we want to calculate the probability for double ones: then it’s 1/6 on the first dice for a one, and 1/6 on the second dice to land on a one as well.

I personally like to imagine a box like this:
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If you have one dice then it’s just a random segment on one of the lines. If you want the specific result from two dice then you want two specific segments which is also the 1 specific tile out of 36 (6 width times 6 height). So you multiply.

1/6 * 1/6 = 1/36 chance to roll double of ones

And 1/36 chance to roll double twos, threes, fours, fives, and sixes. But we don’t count the double fours because any four will do. So:

1/36 * 5 = 5/36

So for the probability of either doubles or containing a four is the probability of doubles of either number plus the probability of either dice being a four:

5/36 + 2/12 =

5/36 + 6/36 =

11/36

5 0

2 years ago

An isosceles triangle has a base of 8 inches and legs measuring 12 inches how wide is the base of a similar triangle with legs m

VARVARA [1.3K]

If the triangles are similar, the base should be 24 inches. The legs on the first triangle are 12 inches. To get 36 inches (the other triangle), we multiply 12 by 3. 12 x 3 = 36. Because you did that to the legs, you must also do it to the base. 8 x 3 = 24. Therefore, the base of the second triangle is 24 inches.

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3 years ago