All categories

3 years ago

What is the area of triangle IHC?

Mathematics

1 answer:

madam [21]3 years ago

8 0

Answer:

$28 cm^2$

Step-by-step explanation:

The formula for finding the area of a triangle is:

$\frac{1}{2} bh$

The "b," is the base (7), and the "h," is the height (8):

$\frac{1}{2} (7)(8)$

$\frac{1}{2} (56)$

You might be interested in

Use elimination to solve the system of equations. 2x+y=4 and -4x-2y=8

goldfiish [28.3K]

Answer: No solution

Step-by-step explanation:

To use elimination method, we need to choose a variable to eliminate. Let's eliminate x. To eliminate x, the x coefficient in both equations must be the same, regardless of the sign. To do so, let's multiply the first equation by 2.

(2x+y=4)2

-4x-2y=8

-------------------------------------------------------------------------------------------------------------

4x+2y=8

-4x-2y=8

Let's add both equations together.

0=8

-------------------------------------------------------------------------------------------------------------

Now that we got this far, we can see that something is wrong. This normally doesn't happen. If you notice, the second equation is the first equation but multiplied by 2. Instead, let's rewrite each equation.

2x+y=4 [subtract both sides by 2x]

y=-2x+4

-4x-2y=8 [add both sides by 4x]

-2y=4x+8 [divide both sides by -2]

y=-2x-4

-------------------------------------------------------------------------------------------------------------

If you analyze both equations, you will see that they are parallel lines. We know this because the slopes are the same, but different y-intercept. from our knowledge of parallel lines, they NEVER touch or cross. This means there would be no solution at all.

4 0

3 years ago

Jeff answered all 25 questions on his chemistry test. For each right answer, he got 4 points and for each wrong answer he lost 2

timurjin [86]

Answer:

Jeff got 20 answers right.

Step-by-step explanation:

The maximum number of points Jeff can get is 100. (25 * 4) However, for each question he gets wrong, he's actually losing 6 points because he doesn't get the four points for getting right, and has the additional -2 points for getting it wrong. Since he only got a score of 70, that means he lost 30 points.

30/6 = 5. So he missed 5 question and got 20 question right.

5 0

4 years ago

the auto parts department of an automotive dealership sends out a mean of 66 special orders daily. what is the probability that,

aleksandrvk [35]

Answer:

0% probability that, for any day, the number of special orders sent out will be no more than 33

Step-by-step explanation:

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 of 66 special orders daily

This means that $\mu = 66$ . We have the mean during a time interval, which means that the number of special orders follow a Poisson distribution, which has $\sigma = \sqrt{\mu} = \sqrt{66}$

What is the probability that, for any day, the number of special orders sent out will be no more than 33?

Since the Poisson distribution, which is discrete, is approximated to the normal(which is continuous), we have to use continuity correction, and thus, this probability is P(X < 33 - 0.5) = P(X < 32.5), which is the p-value of Z when X = 32.5.

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

$Z = \frac{32.5 - 66}{\sqrt{66}}$