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babymother [125]

4 years ago

15

The first side of a triangle is 3 m shorter than the second side. The third side is 4 times as long as the first side. The perim

eter is 27 m. Find the width and length. Can you please help me answer this ?

1 answer:

arsen [322]4 years ago

8 0

I would have to say 2.3 but i dont know the real answer thats what i calculated

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What is the equation of a line passing through the point

Anettt [7]

Answer:

$y=5x-13$

Step-by-step explanation:

<u><em>The correct question is</em></u>

What is the equation of a line passing through the point (3, 2) and parallel to the line y=5x+4

step 1

Find the slope of the given line

we have

$y=5x+4$

This is the equation of the line in slope intercept form

The slope is $m=5$

step 2

Find the slope of the line parallel to the given line

we know that

If two lines are parallel, then their slopes are equal

so

The slope is $m=5$

step 3

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=5$

$point\ (3,2)$

substitute

$y-2=5(x-3)$

step 4

Convert to slope intercept form

$y=mx+b$

isolate the variable y

$y-2=5x-15$

$y=5x-15+2$

$y=5x-13$

3 0

3 years ago

What is the radius of the circle shown below? Round to the nearest whole number

andrey2020 [161]

Answer:

<em>The circle has a radius of 41 inches</em>

Step-by-step explanation:

<u>Circles</u>

There are certain relations in a circle that help us to identify and calculate some of its characteristics.

The figure shows a circle with three parameters which will lead us to determine its radius. First, we have a chord that measures 80 inches. Since it doesn't go through the center of the circle, it's not the diameter.

But we also have the distance from the center to the chord, making a right angle with it. This makes the chord be divided into two equal parts of 40 inches each.

Now we form a right triangle joining the center to one of the extremes of the chord. The hypotenuse of this triangle is the required radius of the circle. Like every right triangle, this must comply with Pithagora's theorem:

$r^2=x^2+y^2$

where r is the hypotenuse and x, y are the legs or the smaller sides of the triangle. We have determined that x=9, y=40 (or vice-versa, it doesn't matter). Therefore

$r^2=9^2+40^2=1681$

Solving for r

$r=\sqrt{1681}=41\ inches$

The circle has a radius of 41 inches

7 0

4 years ago

Darren wants to estimate the mean age in a population of trees. He'll sample nnn trees and build a 90\%90%90, percent confidence

Alchen [17]

Using the z-distribution, as we have the standard deviation for the population, it is found that the smallest sample size required to obtain the desired margin of error is of 77.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

$\overline{x} \pm z\frac{\sigma}{\sqrt{n}}$

In which:

$\overline{x}$ is the sample mean.

z is the critical value.

n is the sample size.

$\sigma$ is the standard deviation for the population.

The margin of error is given by:

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

In this problem, we have that the parameters are given as follows:

$M = 3, z = 1.645, \sigma = 16$ .

Hence, solving for n, we find the sample size.

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

$3 = 1.645\frac{16}{\sqrt{n}}$

$3\sqrt{n} = 1.645 \times 16$

$\sqrt{n} = \frac{1.645 \times 16}{3}$

$(\sqrt{n})^2 = \left(\frac{1.645 \times 16}{3}\right)^2$

$n = 76.97$

Rounding up, the smallest sample size required to obtain the desired margin of error is of 77.

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

4 0

2 years ago

2x + 4y = 1<br> 3x - 5y = 7<br> solve the simultaneous equations x

Norma-Jean [14]

Answer:

(x,y)=(3/2, -1/2)

Step-by-step explanation:

2x+4y=1 /*3

3x-5y=7 /*(-2)

6x+12y=3

-6x+10y=-14

...........................

/ 22y=-11

y= -11/22

y= -1/2

2x+4*(-1/2)=1

2x-2=1

+2 +2

2x=3

x=3/2

so the solutionis (x,y)=(3/2, -1/2)

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3 years ago

Evaluate 0 × |-6|. this would be 0 right?

givi [52]

Evaluated and Yes it would be 0

6 0

3 years ago

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