Triangle ABC has the coordinates A(-3, -2), B(2, 4) and C(2,-2). What is the area of triangle ABC?

Mathematics

1 answer:

Snezhnost [94]3 years ago

3 0

Answer: The area is 15 square units

Step-by-step explanation: It is helpful to sketch the coordinates on a graph to get an idea of what the triangle looks like so you can see which side will be the base, and where to get the height. You will see that AB is the hypotenuse, it is a right triangle, so AC can be the base and BC is the height.

Use the differences in x-values of points C & A to get the length of the base: 2-(-3) is 5

Use the differences in y-values of points B & C to get the height:

4-(-2) = 6

Area = bh/2

A = 5×6/2 = 30/2

A = 15 square unts

You might be interested in

PLEASE HELP ME!! AT LEAST DO 2 PROBLEMS!

damaskus [11]

1. 4n/5 = 4000 miles. n = 5000.
2. I can't read the whole thing.
3. 3000 miles.
4. Can't read the whole thing.

Hope I kinda helped.

4 0

3 years ago

A circular rug has a circumference of 18.84 feet. What is the area of the rug?

bija089 [108]

Step-by-step explanation:

18.84/2= 9.42/3.14 = 3 times 3 = 9 times 3.14 = 28.26

answer is 28.26

sorry if i get it wrong this is how i remember finding it. Im very sure this is how it is

5 0

3 years ago

What fractional part of a week is 63 hours

Rus_ich [418]

Answer:

Week = 21/56

Step-by-step explanation:

1 week=24×7

1 week =168 hours

? Week =63 hours

By cross multiplying both equations

? Week=63/168

Week=21/56

7 0

3 years ago

A retail store did research and determined that, on average, each customer spends 40 minutes in their store per visit, with a st

Blababa [14]

Answer:

0.13% of customers spend more than 46 minutes

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 40, \sigma = 2$