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3 years ago

Show work/explain to please and thank youuu

Mathematics

2 answers:

Veseljchak [2.6K]3 years ago

8 0

Answer:

Step-by-step explanation:

First we know triangle WXY is an equilateral which means all its angles are 60 degrees.

Next we know triangle WZY is an isosceles so it has 2 angles that are equal to each other.

Since angle Z is an obtuse angle. We can calculate the other angles which we will assume are equal because 138+138 is greater than 180 degrees.

180-138 = 42

42/2 = 21 <-- divide by 2 because we know we're looking for 2 angles

For the angles of WXY.

60-21 = 39

Therefore

Angle I = 60

Angle 2 = 39

Angle 3 = 21

Angle 4 = 39

Angle 5 = 21

never [62]3 years ago

8 0

Answer:

m<1=60°

m<2=39°

m<3=21°

m<4=39°

m<5=21°

Step-by-step explanation:

since triangle WZY is isosceles, this means that the measure of angle 3 is the same as measure of angle 5.

to find out what they equal:

180-138=42.

then divide by 2 since angle 3 and angle 5 are congruent.

42/2=21°.

m<3 =21° and m<5 =21°

triangle WXY is equilateral, and an equilateral triangle has 60° angles.

so, m<1=60°.

however, to find m<2 and m<4 we would have to subtract 60° from 21°:

60°-21°=39°.

so, m<2 =39°, and m<4=39°

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A 15 m pole is leaning against a wall. The foot of the pole is 10 m from the wall. Find the angle the pole makes with the ground

nataly862011 [7]

Answer:

∅ ≈ 48.2º

Step-by-step explanation:

cos∅ = adj/hyp = 10/15 = 2/3

Therefor

∅ = arccos 2/3

use calculator

∅ = 48.189685104221402

∅ ≈ 48.2º

5 0

3 years ago

My brother wants to estimate the proportion of Canadians who own their house.What sample size should be obtained if he wants the

AVprozaik [17]

Answer:

a) $n=\frac{0.675(1-0.675)}{(\frac{0.02}{1.64})^2}=1475.07$

And rounded up we have that n=1476

b) $n=\frac{0.5(1-0.5)}{(\frac{0.02}{1.64})^2}=1681$

And rounded up we have that n=1681

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

If solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

Part a

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by $\alpha=1-0.9=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by:

$z_{\alpha/2}=\pm 1.64$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.02$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.675(1-0.675)}{(\frac{0.02}{1.64})^2}=1475.07$

And rounded up we have that n=1476

Part b

For this case since we don't have a prior estimate we can use $\hat p =0.5$

$n=\frac{0.5(1-0.5)}{(\frac{0.02}{1.64})^2}=1681$

And rounded up we have that n=1681

8 0

3 years ago

Standard for<br> ola (y + 3)2 = -12(x - 2), iden<br> 1.<br> D<br> n111

Vedmedyk [2.9K]

Answer:

See below

Step-by-step explanation:

Your question is a bit unclear, so I'm going to assume you want the value of y or x:

(y+3)^2=-12(x-2)

-(y+3)^2/12=x-2

-(y+3)^2/12+2=x

(y+3)^2=-12(x-2)

y+3=sqrt(-12x+24)

y=sqrt(-12x+24)-3

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3 years ago

I need answers for 1 and 2

Snowcat [4.5K]

1. Slope 3/4, through (4,-1)

y = 3/4 x + b

-1 = 3/4(4) + b

-1 = 3 + b

-1 - 3 = b

-4 = b

y = 3/4 x - 4

2. Slope = - 1/2, through (3,0)

y = -1/2 x + b

0 = -1/2(3) + b

0 = -1.5 + b

0 + 1.5 = b

1.5 = b

y = -1/2 x + 1.5

8 0

3 years ago

If anyone knows this can you let me know please. :) thank you. No scams please

Genrish500 [490]

Answer:

h(0)= -7

Step-by-step explanation:

that is my answer

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3 years ago