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3 years ago

Line segment AB has endpoints A(-2, 0) and B(4, 8).

Mathematics

1 answer:

zmey [24]3 years ago

6 0

The ratio of $\frac{CB}{AC}$ is 3.

<h3>How to calculate a distance ratio in a line segment</h3>

The ratio of $\frac{CB}{AC}$ is the length of line segment CB divided by line segment AC. Each length is found by Pythagorean theorem:

<h3>Line segment AC</h3>

$AC = \sqrt{[2.5-(-2)]^{2}+(6-0)^{2}}$

$AC = 7.5$

<h3>Line segment CB</h3>

$CB = \sqrt{(4-2.5)^{2}+(8-6)^{2}}$

$CB = 2.5$

Finally, the ratio of $\frac{CB}{AC}$ is:

$\frac{CB}{AC} = \frac{2.5}{7.5}$

$\frac{CB}{AC} = 3$

The ratio of $\frac{CB}{AC}$ is 3.

To learn more on ratios, we kindly invite to check this verified question: brainly.com/question/1504221

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Find the base of a triangles in

Alexus [3.1K]

The base of triangle is 24 inches whose area is 2.75 sq. feet

<u>Solution:</u>

Given, area of a triangle is 2.75 square feet and its height is 33 inches.

We have to find its base length in inches.

So let us convert area units from feet to inches.

Area = 2.75 square feet = 2.75 $\times$ ft $\times$ ft

= 2.75 $\times$ 12 inches $\times$ 12 inches

[since 1 foot = 12 inches ]

= 2.75 x 144 $\times$ $in^2$

Area = = 396 $in^2$

Area of triangle is given as:

$\text {area}=\frac{1}{2} \times \text { base } \times \text { height }$

$\begin{array}{l}{396= \frac{1}{2} \times \text { base } \times 33} \\\\ {2 \times 396=\text { base } \times 33} \\\\ {792=\text { base } \times 33} \\\\ {\text { Base }=\frac{792}{33}=24}\end{array}$

Hence, the base of the triangle is 24 inches

5 0

3 years ago

What multiplies to give you 108 and adds up to give you -31?

meriva

4 x 27 = 108 and 4 + 27 = 31... I don't think there is any pair of numbers that would equal -31. So the answer would be 4 and 27. Good luck! Hope this helped!!

4 0

3 years ago

The resting heart rate for an adult horse should average about µ = 47 beats per minute with a (95% of data) range from 19 to 75

KatRina [158]

Answer:

a. 0.0582 = 5.82% probability that the heart rate is less than 25 beats per minute.

b. 0.1762 = 17.62% probability that the heart rate is greater than 60 beats per minute.

c. 0.7656 = 76.56% probability that the heart rate is between 25 and 60 beats per minute

Step-by-step explanation:

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean:

$\mu = 47$