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2 years ago

13

The sum of the measures of the interior angles of a quadrilateral is 360°. If the acute interior angle of the figure measures 75

°, what does the obtuse interior angle measure?

1 answer:

quester [9]2 years ago

3 0

The sum of the interior angles of a quadrilateral is 4 Right Angles or 360 Degrees.

Hope this helps

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3 years ago

3. Cameron's car averages 25 miles

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What is the value of 3.45 + 2.6 + 32.007?

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Find the exact value of the trigonometric expression given that sin u = − 8 17 and cos v = − 24 25 . (Both u and v are in Quadra

Rashid [163]

Answer: sin u = -5/13 and cos v = -15/17

Step-by-step explanation:

The nice thing about trig, a little information goes a long way. That’s because there is a lot of geometry and structure in the subject. If I have sin u = opp/hyp, then I know opp is the opposite side from u, and the hypotenuse is hyp, and the adjacent side must fit the Pythagorean equation opp^2 + adj^2 = hyp^2.

So for u: (-5)^2 + adj^2 = 13^2, so with what you gave us (Quad 3),

==> adj of u = -12 therefore cos u = -12/13

Same argument for v: adj = -15,

opp^2 + (-15)^2 = 17^2 ==> opp = -8 therefore sin v = -8/17

The cosine rule for cos (u + v) = (cos u)(cos v) - (sin u)(sin v) and now we substitute: cos (u + v) = (-12/13)(-15/17) - (-5/13)(-8/17)

I am too lazy to do the remaining arithmetic, but I think we have created a way to approach all of the similar problems.

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2 years ago

In monitoring lead in the air after the explosion at the battery factory, it is found that the amounts of lead over a 6 day peri

liubo4ka [24]

Answer:

The margin of error that corresponds to a 95% confidence interval is 4.96.

Step-by-step explanation:

We have the standard error(which is the same as the standard deviation of the sample), so we use the students t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. There are 6 days, so

df = 6 - 1 = 5

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 35 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.95}{2} = 0.975([tex]t_{0.975}$ ). So we have T = 2.5706

The margin of error is:

M = T*s = 2.5706*1.93 = 4.96

The margin of error that corresponds to a 95% confidence interval is 4.96.

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3 years ago