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Amanda [17]
3 years ago
8

Find x. Please help!!!!!!!!!!!

Mathematics
1 answer:
Lisa [10]3 years ago
7 0

Answer:

  4√6

Step-by-step explanation:

The line marked x meets the base of the isosceles triangle at its midpoint, so dividing the triangle into two congruent right triangles with leg 5 and hypotenuse 11.

The Pythagorean theorem can be used to find x:

  5² + x² = 11²

  x² = 121 -25 . . . . . . subtract 25 from both sides of the equation

  x = √96 . . . . . . . . . take the square root

  x = 4√6 . . . . . . . . . simplify the radical

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Delvig [45]
165 is the answer for this
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3 years ago
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In a random sample of 200 Americans, 51% said they favor building more nuclear power plants. In a random sample of 150 French, 4
Varvara68 [4.7K]

Answer:

Yes, there is enough evidence to say the proportions are the same.

Step-by-step explanation:

Null hypothesis: The proportions are the same.

Alternate hypothesis: The proportions are not the same.

Data given:

p1 = 51% = 0.51

n1 = 200

p2 = 48% = 0.48

n2 = 150

pooled proportion (p) = (n1p1 + n2p2) ÷ (n1 + n2) = (200×0.51 + 150×0.48) ÷ (200 + 150) = 174 ÷ 350 = 0.497

Test statistic (z) = (p1 - p2) ÷ sqrt[p(1-p)(1/n1 + 1/n2) = (0.51 - 0.48) ÷ sqrt[0.497(1-0.497)(1/200 + 1/150)] = 0.03 ÷ 0.054 = 0.556

The test is a two-tailed test. At 0.10 significance level the critical values -1.645 and 1.645

Conclusion:

Fail to reject the null hypothesis because the test statistic 0.556 falls within the region bounded by the critical values.

8 0
3 years ago
Find the complete factored form of the polynomial -24a6b4-40a3
Naddik [55]

For this case we have the following polynomial:

-24a ^ 6b ^ 4-40a ^ 3

We must find the greatest common factor of the terms of the polynomial.

The GCF of the coefficients is given by:

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Then we look for the GFC of the variables:

We have then:

a ^ 6 = a ^ 3a ^ 3\\a ^ 3 = a ^ 3

Finally rewriting we have: -24a ^ 6b ^ 4-40a ^ 3 = -8a ^ 3 (3a ^ 3b ^ 4 + 5)

Answer:

the complete factored form of the polynomial is:

-8a ^ 3 (3a ^ 3b ^ 4 + 5)

8 0
3 years ago
I need to find the distance between these two points:
FromTheMoon [43]
I hope this helps you

8 0
3 years ago
tanmayi wants to raise $175 for school fundraisder.she has raised $120 so far.How much more does she need to reach her goal?
Bezzdna [24]
175>120+x

175-120=55

55=x

$55 
4 0
3 years ago
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