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3 years ago

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Question 1. Please help, What is the measure of ∠D?

1 answer:

erastova [34]3 years ago

8 0

Step-by-step explanation:

It is 28°

Because both triangles FED and ABC are right (converse of pythagorean theorem)

Also the lengths of the side of the triangle ABC is double the lengths of the side of the other triangle

You calculate the measure of the angle ∠A in triangle ABC which is 28° (by calculation)

This will also be the measure of angle D

I'm not sure if it is right but hopefully it will help you.

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In triangle XYZ, angle Y = 45º and angle Z = 60º. If XZ = 4, then what is XY?

Katena32 [7]

Answer:

$XY = 4.9$

Step-by-step explanation:

Given

$XZ= 4$

$\angle Y = 45$

$\angle Z = 60$

Required

Determine the measure of side XY

To do this, we make use of sine law. This is as follows:

$\frac{a}{\sin\ A} = \frac{b}{\sin\ B} = \frac{c}{\sin\ C}$

In this case:

$\frac{4}{\sin(45)} = \frac{XY}{\sin(60)}$

Cross Multiply

$XY * \sin(45) = 4 * \sin(60)$

$XY * 0.7071 = 4 * 0.8660$

Make XY the subject

$XY = \frac{4 * 0.8660}{0.7071}$

$XY = \frac{3.4640}{0.7071}$

$XY = 4.89888276057$

$XY = 4.9$ -- <em>approximated</em>

3 0

3 years ago

An amusement park would like to determine if they want to add in a new roller coaster. In order to decide whether or not they sh

Rzqust [24]

Using the z-distribution, it is found that the 90% confidence interval is given by: (0.6350, 0.6984).

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

In this problem, we have a 90% confidence level, hence $\alpha = 0.9$ , z is the value of Z that has a p-value of $\frac{1+0.9}{2} = 0.95$ , so the critical value is z = 1.645.

The sample size and the estimate are given by:

$n = 600, \pi = \frac{400}{600} = 0.6667$

Hence, the bounds of the interval are given by:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6667 - 1.645\sqrt{\frac{0.6667(0.3333)}{600}} = 0.6350$

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6667 + 1.645\sqrt{\frac{0.6667(0.3333)}{600}} = 0.6984$

The 90% confidence interval is given by: (0.6350, 0.6984).

More can be learned about the z-distribution at brainly.com/question/25890103

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2 years ago

randall borrowed $850 from his parents to make some repairs on his car.He promised to repay the loan by giving his parents at le

sammy [17]

Then, he would take = $850/94 = 9.04

atleast 9.04 weeks for repaying that.......

4 0

3 years ago

Read 2 more answers

Please help! i don't know what to do

Strike441 [17]

Answer:

0.5* sin(x)

Step-by-step explanation:

As well known sin (2A)= 2sin(A)*cos(A)

As in our case A=x/2 => cos(x/2*sin(x/2)=1/2*sin(x)=0.5*sin(x)

6 0

3 years ago

Paralell to y=4x-6 through (12,10)

stiks02 [169]

<u>ANSWER</u>

The line that is parallel to $y=4x-6$ through $(12,10)$ is $y=2x-14$ .

<u>EXPLANATION</u>

The equation that is parallel to the line $y=4x-6$ has a slope that is equal to the slope of this line.

By comparing this equation to the general slope intercept form,

$y=mx+c$ ,this line has slope $m=2$ .

Hence the line parallel to this line also has slope $m=2$ .

Let $y=mx+b$ be the equation of the line parallel to the line

$y=4x-6$

We can substitute $m=2$ to obtain;

$y=2x+b$

If the line passes through the point $(12,10)$ ,then this point must satisfy its equation.

We substitute $x=12$ and $y=10$ to obtain;

$10=2(12)+b$

We this equation for $b$ .

$\Rightarrow 10=24+b$

$\Rightarrow 10-24=b$

$\Rightarrow -14=b$

We substitute this value of $b=-14$ in to $y=2x+b$ to get;

$y=2x+-14$ .

Hence the equation of the line that is parallel to $y=4x-6$ through $(12,10)$ is $y=2x-14$ .

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3 years ago