MATHEMATICS MIDDLE SCHOOL

The ratio of the heights of two similar solids is 6:11. Find the ratio of their surface areas.

Answers

Answer 1
Answer:

Answer:

The ratio of surface areas is 36:121.

Step-by-step explanation:

We have, the ratio of the heights of two similar solids is 6:11. It is required to find the ratio of their surface areas. As the two solids are similar, it means that the ratio of surface areas of solids is directly proportional to the square of their heights such that,

(S_1)/(S_2)=((h_1)/(h_2))^2\n\n(S_1)/(S_2)=((6)/(11))^2\n\n(S_1)/(S_2)=(36)/(121)

So, the ratio of surface areas is 36:121.

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Find the distance, to the nearest tenth, from T(4,-2) to U(-2,3).
What is the answer to x/5+6=36

Is this right ? Help

Answers

Yes i should be. If its not, your teacher is wrong.
Yes, it seems like your answer is correct

37,123,745 what the value of the 1

Answers

To find the value of 1, you would find what place it is in. It is in the 100,000 place.
Next, you would make all the numbers after it 0. 100,000.
The value of 1 is 100,000.
37,123,745 value of 1= hundred thousands= one hundred thousands: to make it easier do: ones,tens,hundred, thousand, ten thousands, hundred thousands, millions.

Which shows a correct plan Chuck can use to solve this problem? Chuck brushed his teeth 3 times a day for 4 days. Each time he brushed he spent 30 seconds. He used mint toothpaste for 2 of the days. How many times did Chuck use mint toothpaste?

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Chuck used mint tooth paste 6 times because 4x3 eaquals 12 and 12divided by two is 6 .
The answer is 6 times, because it said he used mint toothpaste for two of the days, and 4 divided by 2 equals 2, and you do the same to the 12 because you did 3 times 4 in the beginning, so you do divided by 2, which equals 6. So to find to the seconds, you do 6 times 30, which equals your seconds, which equals 180 seconds. To find the times he used the toothpaste, you just do 12 divided by 2, which equals 6, so now you know that he used the mint toothpaste six times. 

Answers
Seconds: 180 seconds
Times he used the mint toothpaste: 6 times.

Hope it works!!!

An architect is designing a building on a triangular plot of land. If the base of the triangle is 100.8 feet and the height is 96.3 feet, find the available floor area of the building. Show all of your work

Answers

Answer:

4853.52

Step-by-step explanation:

The base of a triangle=100.8 feet

Height of a triangle=96.3 feet

Area of triangle=(1)/(2)×base×height

Area of a triangle=(1)/(2)×100.8×96.3 feet^(2)

Hence, Area of a triangle=4853.52ft^(2)
A=bh/2, which means that you multiply the base (100.8 ft.) by the height (96.3 ft.) and you take that answer and divide it by 2.

A=4853.52

What is the solution to the following equation? 4x^2-48x=-144

Answers

Answer:

x = 6

Step-by-step explanation:

Start off by reducing this equation:  divide all three terms by 4.  This yields:

x^2 - 12x + 36 = 0

This equation has the form (x - h)^2, the square of a binomial.

x^2 - 12x + 36 = 0, written as the square of the binomail x - 6, comes out to:

(x - 6)^2 = 0.  This equation has a repeated real root:  x = 6

What is the answer to this?

Answers

Answer:

8√(2)

Step-by-step explanation:

Rationalise the denominator by multiplying both the numerator and denominator by the radical on the denominator, that is

(32)/(√(8) )

= (32√(8) )/(8 ) → (√(8))² = 8

= (32√(4(2)) )/(8)

= 4× 2√(2)

= 8√(2)
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