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RoseWind [281]
3 years ago
10

A triangle has sides 12cm, 9cm and 15cm. Is the triangle right-angled? Justify your answer

Mathematics
1 answer:
marusya05 [52]3 years ago
3 0

Answer:

yes

Step-by-step explanation:

Yes this triangle is right angled and can be justified using the Pythagorean theorem. The theorem states that: a^{2} +b^{2} = c^{2}. Substitute using the given values:

(9^2)+(12^2)=15^2

81 + 144 = 255

255 = 255.

It satisfies the theorem therefore it is a right angle triangle.

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Alexis uses toy blocks to build a model of a building each toy block is 1 cubic inch The first three floors of the model are Mad
Alenkinab [10]

Answer: The volume is 40 cubic inches

Step-by-step explanation: Each toy block is 1 cubic inch, which means each toy block is a cube with all sides (Length, width and height) measuring 1 inch. That makes the volume of each cube or block to be derived as;

Volume = L x W x H

Volume = 1 x 1 x 1

Volume = 1 cubic inch

The first 3 floors are made up of six rows of four blocks. This means, the first 3 floors has six by four blocks, that is, six times four blocks and that gives us 24 blocks.

The fourth to eighth floors are made up of four rows of four blocks. This also means four by four blocks, that is, four times four blocks and that gives us 16 blocks.

Having determined the amount of blocks used in the total model building as

1st - 3rd = 24 blocks

4th - 8th = 16 blocks

The total number of blocks used is 24 plus 16 which equals 40. Having been told that each block has a volume of 1 cubic inch, the volume of the model building equals 40 cubic inches.

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3 years ago
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Phoenix [80]
The answer to this question is 3.15 

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3 years ago
How to solve the first and second question?
mars1129 [50]

Answer:

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7 0
3 years ago
A cube has a side length of 7 in. What is the volume of the cube? in3
Ivenika [448]
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3 years ago
Read 2 more answers
Suppose the life span of a calculator has a normal distribution with a mean of 60 months and a standard deviation of 8 months. W
rusak2 [61]

Answer:

Probability that the calculator works properly for 74 months or more is 0.04 or 4%.

Step-by-step explanation:

We are given that the life span of a calculator has a normal distribution with a mean of 60 months and a standard deviation of 8 months.

Firstly, Let X = life span of a calculator

The z score probability distribution for is given by;

         Z = \frac{ X - \mu}{\sigma} ~ N(0,1)

where, \mu = population mean = 60 months

            \sigma = standard deviation = 8 months

Probability that the calculator works properly for 74 months or more is given by = P(X \geq 74 months)

     P(X \geq 74) = P( \frac{ X - \mu}{\sigma} \geq \frac{74-60}{8} ) = P(Z \geq 1.75) = 1 - P(Z < 1.75)

                                                   = 1 - 0.95994 = 0.04

Therefore, probability that the calculator works properly for 74 months or more is 0.04 or 4%.

7 0
3 years ago
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