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3 years ago

8

The leg of a right triangle is 5 units and the hypotenuse is 8 units. What is the length, in units, of the other leg of the tria

ngle?

1 answer:

12345 [234]3 years ago

4 0

I hope this helps you

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Factorise (2t-7)²-(5t-4)² <br>with working pls

sertanlavr [38]

Answer:

33+12t−21t^2

Step-by-step explanation:

(2t-7)²-(5t-4)²

Use binomial theorem (a−b)^2 = a^2−2ab+b^2 to expand (2t-7)².

4t^2−28t+49−(5t-4)²

Use binomial theorem (a−b)^2 = a^2−2ab+b^2 to expand (5t-4)².

4t^2−28t+49−(25t^2−40t+16)

To find the opposite of 25t^2

−40t+16, find the opposite of each term.

4t^2−28t+49−25t^2−40t+16

Combine 4t^2 and −25t^2 to get −21t^2.

−21t^2−28t+49+40t−16

Combine −28t and 40t to get 12t.

−21t^2+12t+49−16

Subtract 16 from 49 to get 33.

−21t^2+12t+33

Swap terms to the left side.

33+12t−21t^2

I hope this helped!

5 0

3 years ago

An English professor assigns letter grades on a test according to the following scheme. A: Top 9% of scores B: Scores below the

sergeinik [125]

Answer:

The minimum score required for an A grade is 83.

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 72.3 and a standard deviation of 8.

This means that $\mu = 72.3, \sigma = 8$

Find the minimum score required for an A grade.

This is the 100 - 9 = 91th percentile, which is X when Z has a pvalue of 0.91, so X when Z = 1.34.

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

$1.34 = \frac{X - 72.3}{8}$

$X - 72.3 = 1.34*8$

$X = 83$

The minimum score required for an A grade is 83.

5 0

3 years ago

HELP! I don’t understandddd.

RUDIKE [14]

Answer:

A. The tree starts at 0 and increases by 1 every year. The height starts at 5 and increases by 1 every year.

Step-by-step explanation: 5 for the first year, 6 for the second year, 7 for the third year etc.

4 0

3 years ago

Miss Riley's class has 24 students. She has the students in groups. Each group can have no more than 5 students. if every studen

netineya [11]

Answer:

if there can be no more than 5 students, then anything less than 5 students will suffice. However we don’t want any left over ones cause we don’t want that one kid sitting alone during lunch so we can simply put <u><em>4 into each group.</em></u>

Step-by-step explanation:

Hope this helped :DDD

8 0

2 years ago

Read 2 more answers

A class is going on a field trip to see a movie. Each ticket is $10.00. The number of students, n, who will receive a $10.00 tic

o-na [289]

10 n = C

Finding the total would simply be multiplying the cost of the tickets by number of students.

8 0

3 years ago

Read 2 more answers