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3 years ago

6

The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments 9 in. and 12 in. long. What's the length

of the altitude to the hypotenuse

1 answer:

kow [346]3 years ago

3 0

The length of he altitude to the hypotenuse is the square root of 108

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A machine at a bottling company fills water bottles. the number of bottles filled is proportional to the amount of time the mach

Whitepunk [10]

In the table shown below:

Let N be the number of bottles filled,

Let T be the time in hours.

Given that the number of bottles filled is proportional to the amount of time the machine runs, we have

$\begin{gathered} N\propto T \\ \text{Introducing a proportionality constant, we have } \\ N\text{ = kT} \\ \Rightarrow k\text{ = }\frac{N}{T} \\ \end{gathered}$

Let's evaluate the value of k for each day.

Thus, on monday,

$\begin{gathered} N\text{ = 9900} \\ T\text{ = 5.5} \\ \text{thus,} \\ k\text{ = }\frac{9900}{5.5} \\ \Rightarrow k\text{ = 1800} \end{gathered}$

Tuesday:

$\begin{gathered} N\text{ = }11160 \\ T\text{ = }6.2 \\ \text{thus,} \\ k\text{ = }\frac{11160}{6.2} \\ \Rightarrow k\text{ = 1800} \end{gathered}$

Wednesday:

$\begin{gathered} N\text{ = }12330 \\ T\text{ = }6.25 \\ \text{thus,} \\ k\text{ = }\frac{12330}{6.25} \\ \Rightarrow k\text{ = 1972.8} \end{gathered}$

Thursday:

$\begin{gathered} N\text{ = }10440 \\ T\text{ = }5.80 \\ \text{thus,} \\ k\text{ = }\frac{10440}{5.8} \\ \Rightarrow k=1800 \end{gathered}$

It is observed that all exept wednesday have the same value of k.

Thus, the amount of time required for the number of bottles filled on wednesday is evaluated as

$\begin{gathered} N\text{ = }12330 \\ k\text{ = 1800} \\ T\text{ = ?} \\ \text{but} \\ k\text{ = }\frac{N}{T} \\ 1800\text{ = }\frac{12330}{T} \\ \Rightarrow T\text{ = }\frac{\text{12330}}{1800} \\ T\text{ = 6.85} \end{gathered}$

Hence, the incorrect day is Wednesday. The amount of time for that many bottles should be 6.85 hours.

3 0

1 year ago

Math lottssssss offf points

yan [13]

Constant of Proportionality = d/t = 90/2 = 45 mph

In short, Constant of Proportionality would be: 45 miles per hour.

Here, d/t = 45
d = 45t

In short, Your Equation would be: d= 45t

Hope this helps!

5 0

3 years ago

Write the equation of the line in fully simplified slope-intercept form.

coldgirl [10]

Y= -1/2x - 4

hope this helps! :)

7 0

3 years ago

I am doing test an am need help

enot [183]

Answer:

its a

Step-by-step explanation:

< means less than and >means greather than

3 0

3 years ago

Your mom suggested ten different choices for you to eat for lunch over the next week at school. How many different ways can you

Serggg [28]

Answer:

B. 252

Step-by-step explanation:

To find the answer, you have to use the formula to calculate the number of combinations as in this case, the order in which the objects are selected doesn't matter:

nCr=n!/r!(n-r)!

n= number of sample points: 10

r= number of sample points in each combination: 5

10C5= 10!/5!(10-5)!

10C5= 10!/5!*5!

10C5= 252

According to this, the answer is that you have 252 different ways to choose your school lunch.

5 0

4 years ago