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Pachacha [2.7K]
2 years ago
15

The sides of a triangle are 30, 18, and 24. Use the Pythagorean Theorem to determine if the triangle is right, acute, or obtuse.

Mathematics
1 answer:
Shtirlitz [24]2 years ago
5 0

Answer:

a right triangle

is equal to

Step-by-step explanation:

Pythagorean's theorem is a²+b²=c² with c being the longest sides. If it is true then it is a right triangle.

<u>18²</u> + <u>24²</u> = <u>30²</u>

324+576=900

This is true so the triangle is a right triangle

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Answer:

a. H0:μ1≥μ2

Ha:μ1<μ2

b. t=-3.076

c. Rejection region=[tcalculated<−1.717]

Reject H0

Step-by-step explanation:

a)

As the score for group 1 is lower than group 2,

Null hypothesis: H0:μ1≥μ2

Alternative hypothesis: H1:μ1<μ2

b) t test statistic for equal variances

t=(xbar1-xbar2)-(μ1-μ2)/sqrt[{1/n1+1/n2}*{((n1-1)s1²+(n2-1)s2²)/n1+n2-2}

t=63.3-70.2/sqrt[{1/11+1/13}*{((11-1)3.7²+(13-1)6.6²)/11+13-2}

t=-6.9/sqrt[{0.091+0.077}{136.9+522.72/22}]

t=-3.076

c. α=0.05, df=22

t(0.05,22)=-1.717

The rejection region is t calculated<t critical value

t<-1.717

We can see that the calculated value of t-statistic falls in rejection region and so we reject the null hypothesis at 5% significance level.

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An object is about 5 times the distance Earth is from the Sun. Earth is about miles from the Sun. About how far is the object fr
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Step-by-step explanation:

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1. You are participating in a fundraiser in which you do yard work for donations. People can
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Answer:

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<u>Given:</u>

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<u>Solve for x:</u>

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Points D, C, B, and A are collinear.<br> What is the slope of DC in simplest form?
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Answer:

if DA line is lineer

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