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3 years ago

Please Please Help ASAP, I really need Help.

1 answer:

vladimir2022 [97]3 years ago

8 0

There are many steps to find the coordinates of the vertices of triangle ABC.
The slope formula is y2 - y1 / x2 - x1
There would be three equation associated with this problem.

The first equation can be found by taking the x and y's from A and B
First Equation: 2 - 3 / 1 - (-1)
Answer: -.5

The second equation can be found by taking the x and y's from B and C
Second Equation: -1 - 2 / -3 - 1
Answer: 12

The third equation can be found by taking the x and y's from C and A
Third Equation: 3 - (-1) / -1 - (-3)
Answer: 2

These are not equal measurements so, it isn't right angle.

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HELP ASAP!!!!!!!!!! Please

N76 [4]

Answer:

Step-by-step explanation:

Growth can be represented by the equation $A=A_01.02^{t}$ . We know that r=2% or 0.02 in this situation so we have 1.02. We know t=100 hours and the starting population A=200. We substitute these values and use a calculator to evaluate.

$A=A_01.02^{t}\\A=200(1.02)^{100}$

We now use our calculator to evaluate the exponent first and then multiply by 200.

$A=200(7.2446)=1448.93$

8 0

3 years ago

Claire had 4 1/6 feet of string. She used some string to hang out decorations. Now she has 1 5/6 feet of string left. How much s

vodka [1.7K]

Answer:

Length of string used by Claire = 7 / 3 feet

Step-by-step explanation:

Given:

Length of string Claire in starts = $4\frac{1}{6}$ feet

Length of string Claire in end = $1\frac{5}{6}$ feet

Find:

Length of string used by Claire

Computation:

Length of string Claire in starts = $4\frac{1}{6}$ feet = 25 / 6 feet

Length of string Claire in end = $1\frac{5}{6}$ feet = 11 / 6 feet

Length of string used by Claire = Length of string Claire in starts - Length of string Claire in end

Length of string used by Claire = [25 / 6] - [11 / 6]

BY taking LCM

Length of string used by Claire = [25 - 11] / 6

Length of string used by Claire = 14 / 6

Length of string used by Claire = 7 / 3 feet

8 0

3 years ago

A circle with center c(4,-2) contains the point D( 8,1). What is the equation of the line perpendicular to the radius of the cir

Nady [450]

Answer:

4x +3y = 10

Step-by-step explanation:

The radius CD has slope Δy/Δx = (1-(-2))/(8-4) = 3/4.

The equation for the perpendicular line through point C(4, -2) can be written as ...

Δx(x -4) +Δy(y -(-2)) = 0

4(x -4) +3(y +2) = 0

4x +3y -10 = 0 . . . . . . general form equation for the line

4x +3y = 10 . . . . . . . . .standard form equation for the line

8 0

3 years ago

Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. Whe

kherson [118]

Answer:

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

$n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11$

And rounded up we have that n=1068

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

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

Solution to the problem

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 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by: