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Leviafan [203]
3 years ago
11

Find the value of X in the triangle shown below

Mathematics
2 answers:
Vladimir [108]3 years ago
5 0

Answer:

the value of x is 12, the answer is C, x = 12

Leokris [45]3 years ago
3 0

Answer:

A

Step-by-step explanation:

This is a right triangle, because of the little square in the corner that represents a right angle.

Therefore, the Pythagorean Theorem can be used.

a^2+b^2=c^2

where a and b are the legs, and c is the hypotenuse

In this triangle, 2 and 10 are the legs, because they form the right angle. x is the hypotenuse, because it is opposite the right angle.

2 and 10 are a and b, and x is c.

2^2+10^2=x^2

Evaluate the exponents on the left side.

4+100=x^2

104=x^2

x is being squared. To reverse this, take the square root of both sides

√104=√x^2

√104=x

A, x=√104 is correct

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makkiz [27]
The answer is b.

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3 years ago
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In a random sample of 257 adult Orcas in the wild, there were 159 whose total body length was 28 feet or longer. Create a 98% co
REY [17]

Answer:

98% Confidence interval:  (0.5483,0.6891)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 257

Number of adults total body length was 28 feet or longer, x = 159

\hat{p} = \dfrac{x}{n} = \dfrac{159}{257} = 0.6187

98% Confidence interval:

\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

z_{critical}\text{ at}~\alpha_{0.02} = 2.326

Putting the values, we get:

0.6187\pm 2.326(\sqrt{\dfrac{0.6187(1-0.6187)}{257}})\\\\ = 0.6187\pm 0.0704\\\\=(0.5483,0.6891)

is the required 98% confidence interval.

7 0
3 years ago
3(4x-10)=2(3x-30) i need help again i have to turn in all of my school work tomorrow so i don't fail the 8th grade
gayaneshka [121]

Answer:

The result for this equation is x = -5 .

Step-by-step explanation:

-Solve the equation:

3(4x-10)=2(3x-30)

-Use Distributive Property:

3(4x-10)=2(3x-30)

12x - 30=6x - 60

-Subtract 6x and from 12x :

12x - 30 -6x=6x -6x - 60

6x - 30=-60

-Add both sides by 30:

6x - 30 +30=-60 +30

6x =-30

-Then, you divide both sides by 6:

\frac{6x}{6}=\frac{-30}{6}

x = -5

So, therefore the answer is x = -5 .

5 0
4 years ago
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Annette [7]

Answer:

1. 41

2. 7.857 or 8

3. 21

4.

3 0
3 years ago
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If (x + k) is a factor of f(x), which of the following must be true?
KIM [24]

Answer:

<h3>f(-k)=0</h3>

Step-by-step explanation:

(x + k) is a factor of f(x)

x+k=0 => <u>x= -k;</u>    <em>-k is a root of f(x)</em>

=> f(-k)=0

6 0
3 years ago
Read 2 more answers
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