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Varvara68 [4.7K]
3 years ago
7

Legs of right triangle definition in ur words

Mathematics
1 answer:
stiks02 [169]3 years ago
6 0

Answer:

The legs of a right triangle are the two sides that intersect to determine the right angle.The remaining side is called the hypotenuse.

Step-by-step explanation:

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Find the measure of Q, the smallest angle in the triangle whose sides have lengths 4-5, and 6. Round the measure to the nearest
kakasveta [241]

<u>Given</u>:

Given that PQR is a triangle.

The measures of the sides of the triangle are 4,5 and 6.

We need to determine the measure of ∠Q.

<u>Measure of ∠Q:</u>

The measure of ∠Q can be determined using the law of cosines formula.

Thus, we have;

\cos (Q)=\frac{p^{2}+r^{2}-q^{2}}{2 p r}

Substituting p = 6, q = 4, r = 5, we get;

\cos (Q)=\frac{6^{2}+5^{2}-4^{2}}{2 (6)(5)}

Simplifying, we get;

\cos (Q)=\frac{36+25-16}{2 (30)}

\cos (Q)=\frac{45}{60}

Dividing, we get;

\cos (Q)=0.75

      Q=cos^{-1}(0.75)

      Q=41^{\circ}

Thus, the measure of ∠Q is 41°

Hence, Option b is the correct answer.

4 0
3 years ago
HELP! Which points could be on the line that is parallel to gh and passed through point J ? Check all that apply
denis23 [38]
The first thing we are going to do in this case is find the slope of the GH line.We have then:
 m = (y2-y1) / (x2-x1)
 Substituting values:
 m = (- 2-1) / (2 - (- 4))
 m = (- 3) / (6)
 m = -1 / 2
 Then, the generic equation of the line is:
 y-yo = m (x-xo)
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 m = -1 / 2
 The line passes through point J, that is:
 (xo, yo) = (1, 3)
 The equation of the line will then be:
 y-3 = (- 1/2) (x-1)
 Rewriting:
 y-3 = (- 1/2) x + 1/2
 y = (- 1/2) x + 1/2 + 3
 y = (- 1/2) x + 7/2
 The points that pass through this line are:
 (-3, 5)
 5 = (- 1/2) (- 3) +7/2
 5 = 3/2 + 7/2
 5 = 10/2
 5 = 5
 (3, 2)
 2 = (- 1/2) (3) +7/2
 2 = -3 / 2 + 7/2
 2 = 4/2
 2 = 2

 (5, 1)
 1 = (- 1/2) (5) +7/2
 1 = -5 / 2 + 7/2
 1 = 2/2
 1 = 1
 Answer:
 (-3, 5)
 (3, 2)
 (5, 1)
3 0
3 years ago
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A government official is in charge of allocating social programs throughout the city of Vancouver. He will decide where these so
otez555 [7]

Answer: (0.132132, 0.274368)

Step-by-step explanation:

Given : A simple random sample of 123 people living in Gastown and finds that 25 have an annual income that is below the poverty line.

i.e. n= 123

\hat{p}=\dfrac{25}{123}\approx0.203252

Critical value for 95% confidence interval : z_{\alpha/2}=1.96

Confidence interval for population :

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

i.e. 0.203252\pm (1.96)\sqrt{\dfrac{0.203252(1-0.203252)}{123}}

0.203252\pm (1.96)\sqrt{\dfrac{0.203252(1-0.203252)}{123}}\\\\\0.203252\pm0.071118\\\\=(0.20325-0.071118,\ 0.203252+0.071118)\\\\=(0.132132,\ 0.274368)

Hence, the 95% confidence interval for the true proportion of Gastown residents living below the poverty line : (0.132132, 0.274368)

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How can we put 45 rabbits in 9 cells, so that there are different number of rabbits in each cell and none of the cells is empty?
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You can put one rabbit in cell one. Two rabbits in cell two. Three rabbits in cell three. Four rabbits in cell four. Five rabbits in cell five. Six rabbits in cell six. Seven rabbits in cell seven. Eight rabbits in cell eight. And finally nine rabbits in cell nine.
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3 years ago
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How to find the asymtope of a function
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Asymptote at x = 3 and a horizontal asymptote at y = 1. The curves approach these asymptotes but never cross them. The method used to find the horizontal asymptote changes depending on how the degrees of the polynomials in the numerator and denominator of the function compare.
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