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2 years ago

10

A 5 foot tall student casts a shadow that is 8 feet long. A 12.5 foot flag pole close by casts a shadow with an unknown length,

s. What is the length of the flag pole’s shadow, s?

1 answer:

prohojiy [21]2 years ago

3 0

Answer:

15.5

Step-by-step explanation:

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N n N n N n N n N n n N N Suppose that you were to draw a random sample of one letter from the set of letters above. Two possibl

kvv77 [185]

Answer:

10/13 = 76.92%

Step-by-step explanation:

The question is missing some information because the underline is missing.

If we make table based on if the letter upper case (A) or lower case(a), and if the letter underlined(B) vs not underlined(b) the data will be:

A a

B 4 3 7

b 3 3 6

total 7 6

There are total of 13 letter there. The calculation will be:

P(A or B) = P(A) + P (B) - P(A and B) = (7 + 7 -4) / 13= 10/13 = 76.92%

4 0

3 years ago

M+1 3/8=5 What does m equal?

Arte-miy333 [17]

$\text{ The value of m is equal to 3.625 or }\frac{29}{8} \text{ or } 3\frac{5}{8}$

<em><u>Solution:</u></em>

Given that we have to find the value of "m"

Given expression is:

$m + 1\frac{3}{8} = 5$

<em><u>Let us first convert the mixed fraction to improper fraction</u></em>

Steps to follow:

Divide the numerator by the denominator.

Write down the whole number answer.

Then write down any remainder above the denominator.

Therefore,

$1\frac{3}{8}=\frac{8 \times 1+3}{8} = \frac{8+3}{8} = \frac{11}{8}$

Now the expression becomes,

$m + \frac{11}{8} = 5$

Keep the variable "m" on L.H.S and move the constant to R.H.S

$m = 5 - \frac{11}{8}\\\\m = \frac{5 \times 8 -11}{8}\\\\m = \frac{40-11}{8}\\\\m = \frac{29}{8}\\\\\text{In mixed fractions, we can write as }\\\\m = \frac{29}{8} = 3\frac{5}{8}$

Thus value of m is equal to 3.625 or $\frac{29}{8} \text{ or } 3\frac{5}{8}$

3 0

3 years ago

Make v the subject of the formula in H=m(v²-u²)/2gx

goldfiish [28.3K]

Answer:

$v=\sqrt{\dfrac{H\times 2gx}{m}+u^2}$

Step-by-step explanation:

The given formula is :

$H=\dfrac{m(v^2-u^2)}{2gx}$

We need to find the formula for v.

Cross multiplying the given formula.

$H\times 2gx=m(v^2-u^2)$

Dividing both sides by m. So,

$\dfrac{H\times 2gx}{m}=\dfrac{m(v^2-u^2)}{m}\\\\(v^2-u^2)=\dfrac{H\times 2gx}{m}$

Adding both sides by u².

$(v^2-u^2)+u^2=\dfrac{H\times 2gx}{m}+u^2\\\\v^2=\dfrac{H\times 2gx}{m}+u^2\\\\\text{So},\\\\v=\sqrt{\dfrac{H\times 2gx}{m}+u^2}$

Hence, this is the required formula.

4 0

2 years ago

Help help help please

Mnenie [13.5K]

True, because of the Triangle Inequality Theorem.

To test if you could construct a triangle, make sure the following inequalities are true.

9 + 4 > 11

9 + 11 > 4

4 + 11 > 9.

8 0

3 years ago

Read 2 more answers

The first term of set R is 15. What is the median value of the set R, if for every term in the set, Rn = Rn–1 + 3?

morpeh [17]

Answer:

$median=mean=\frac{R_{n-1}}{2}+9$

Step-by-step explanation:

The first thing to identify is that this one is a consecutive set, meaning that the increment between each number is the same, in this case, an increment of 3 between each number, when sets have this type of behavior, and only on these cases, the mean and the median are the same, let's look at some examples:

[2, 4, 6, 8, 10, 12]

The mean would be:

mean= $\frac{2+4+6+8+10+12}{6}$ =7

Since the number of elements is even, the median would be the average of the two middle terms:

median= $\frac{6+8}{2}$ =7

As you can see mean=median

There is one more thing to help you in this exercise, for consecutive sets, the mean can also be calculated by the formula:

$mean=\frac{x_{1} + x_{n} }{2}$

Where $x_{1}$ is the first term of the set and $x_{n}$ is the last.

If we ran this formula with the set i used as an example:

mean= $\frac{2+12}{2}=7$ .

So applying all of that to the set given we would have:

$median=mean=\frac{15+R_{n-1}+3}{2} =\frac{R_{n-1}+18}{2} =\frac{R_{n-1}}{2}+9$

5 0

3 years ago