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wolverine [178]
3 years ago
11

Find the value of x.

Mathematics
2 answers:
oksian1 [2.3K]3 years ago
8 0

Answer:

2 sqrt(41) = x

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+ b^2 = c^2

8^2 + 10 ^2 = c^2

64+ 100 = c^2

164 = c^2

Taking the square root of each side

sqrt(164) = sqrt(c^2)

sqrt(4*41) = c

2 sqrt(41) = c

valina [46]3 years ago
8 0

Answer:

D. 2\sqrt{41

Step-by-step explanation:

Using the Pythagorean theorem, we can use the equation

a^2+b^2=c^2

to find the hypotenuse (the longest side of a triangle).

let's plug in the values!

8^2 +10^2=c^2

64 + 100 = c^2

164 = c^2

now find the square root of 164.

\sqrt{64

the closest answer is

D. 2\sqrt{41

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If 2 coins is flipped 200 time, how many times would youe expect to land on heads​
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200 times

Step-by-step explanation:

400÷2=200

because the next 200 would be landing on tails

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The length of a rectangle is 5 inches longer than the width. The perimeter of the rectangle is 40 inches. What is the width of t
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Answer: 7.5"

Step-by-step explanation:

First, take away the extra 5" on the longer side lengths

40-5-5=30

Then divide by 4 to get the width

30/4=7.5

This works because if you took the 7.5" and added back the 5 inches, it makes 12.5. Then add all 4 sides together, you get 40.

7.5+7.5+12.5+12.5=

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An exam is made of two papers that score differently.
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71 %

Calculate score for each paper, total them and convert to a percentage.

Paper 1 : mark = 0.65 × 120 =78

Paper 2 :mark = 0.8 ×80 = 64

Total mark = (78 + 64)/200 =142/200

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Which table shows a proportional relationship between x and y?
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c. number shows the proportional relationship between x and y...

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3 years ago
Lucy rolls 2 fair dice and adds the results from each.
Daniel [21]

Answer:

Answer:

The probability of obtaining the sum of 10 is 1/12 or 0.0833

Step-by-step explanation:

Given

2 fair dice

Required

Probability of obtaining the sum of 10

To solve this, we have to list out the sample space.

Sample space is the total possible sum that can be obtained when she rolls the dice.

Let the first die be represented with S1 and the second be represented with S2.

S1 = {1,2,3,4,5,6}

S2 = {1,2,3,4,5,6}

To get the sample space, we have to add individual elements of S1 and S2.

This is done as follows.

When S1 = 1 and S2 = {1,2,3,4,5,6}

Sum = 1+1, 1+2, 1+3, 1+4, 1+5, 1+6

Sum = 2, 3, 4, 5, 6, 7

When S1 = 2 and S2 = {1,2,3,4,5,6}

Sum = 2+1, 2+2, 2+3, 2+4, 2+5, 2+6

Sum = 3,4,5,6,7,8

Using the same pattern as used above

When S1 = 3 and S2 = {1,2,3,4,5,6}

Sum = 4,5,6,7,8,9

When S1 = 4 and S2 = {1,2,3,4,5,6}

Sum = 5,6,7,8,9,10

When S1 = 5 and S2 = {1,2,3,4,5,6}

Sum = 6,7,8,9,10,11

When S1 = 6 and S2 = {1,2,3,4,5,6}

Sum = 7,8,9,10,11,12

Writing out the Sum, will give us the sample space.

Sample Space = {2, 3, 4, 5, 6, 7, 3, 4, 5, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 9, 10, 11, 7, 8, 9, 10, 11, 12}

The sample space has a total of 36 elements

To calculate the probability of obtaining the sum of 10,

We have to count the number of 10's in the sample space

Number of 10 = 3

Probability = Number of 10 / Number of Sample Space

Probability = 3 / 36

Probability = 1/12

Probability = 0.0833

Hence, the probability of obtaining the sum of 10 is 1/12 or 0.0833

5 0
3 years ago
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