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3 years ago

DOES ANYONE KNOW THE ANSWERS TO THESE PROBLEM, PLZ HELP!

Mathematics

1 answer:

Virty [35]3 years ago

8 0

Answer:

Q.1.

Sum of angles of a triangle = 180°

∠A + ∠B + ∠c = 180

(3x - 9) + (4x + 15) + 90 = 180

3x - 9 + 4x + 15 + 90 = 180

7x + 96 = 180

7x = 84

x = 12

∠A = 3x - 9 = 3(12) - 9 = 36 - 9 = 27°

∠B = 4x + 15 = 4(12) + 15 = 48 + 15 = 63°

∠A = 27°

∠B = 63°

Q.2.

$using \ pythagoras \ theorem \\x^2 = 7^2 + (7\sqrt{3} )^{2} = 49 + 49(3) = 196\\x = \sqrt{196} = 14$

$sin y = \frac{opposite}{hypotenuse} = \frac{7\sqrt{3} }{14} = \frac{\sqrt{3} }{2} \\\\y = sin^{-1} (\frac{\sqrt{3} }{2} ) = 60$

x = 14

y = 60°

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the sum of the interior angle in a polygon is 40,500° what is the number of sides in the regular polygon

larisa86 [58]

Answer:

227 sides

Step-by-step explanation:

The sum of the interior angles of a convex polygon is S=180(n-2) where n is the number of sides. If S=40500, then we have our equation 40500=180(n-2) and we can solve for n:

40500 = 180(n-2)

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2 years ago

Unoccupied seats on flights cause airlines to lose revenue. Suppose a large airline wants to estimate its average number of unoc

Bingel [31]

Answer:

We need a sample size of at least 719

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

How large a sample size is required to vary population mean within 0.30 seat of the sample mean with 95% confidence interval?

This is at least n, in which n is found when $M = 0.3, \sigma = 4.103$ . So

$M = z*\frac{\sigma}{\sqrt{n}}$

$0.3 = 1.96*\frac{4.103}{\sqrt{n}}$

$0.3\sqrt{n} = 1.96*4.103$

$\sqrt{n} = \frac{1.96*4.103}{0.3}$

$(\sqrt{n})^{2} = (\frac{1.96*4.103}{0.3})^{2}$

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We need a sample size of at least 719

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3 years ago

HELP PLEASE!! WILL GIVE BRAINLIEST!!!

beks73 [17]

Answer:

Slope = 2 Y-Intercept = (0, 3)

Step-by-step explanation:

Slope : $\frac{Rise}{Run}$ which is $\frac{y2 - y1}{x2 - x1}$ from two points: point1 (x1 , y1) and point2 (x2, y2).

For the purpose of getting the slope I will be using point (0, 3) as point 1

and point (-3, -3) as point 2.

If you plug in 0 as x1, 3 as y2, -3 for x2, and -3 for y2:

$\frac{-3 - 3}{-3 - 0}$ = $\frac{-6}{-3}$ = 2

Y-Intercept: The y intercept is the point where the line is touching the y axis. Which in this graph, there is only point (0,3).

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3 years ago

Hello can someone please help?

Ray Of Light [21]

The answer is D
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3 years ago