All categories

3 years ago

which of the following lengths of lines would be used to create a right triangle 6,9,12 5,12,13 4,8,16 7,15,19.7

1 answer:

6 0

If this is talking about the Pythagorean theorem then it would be 5,12,13 becuase because the equation for the triangle is
2 2 2
a + b = c

2 2 2
5 + 12. = 13

You might be interested in

A solution initially contains 200 bacteria. 1. Assuming the number y increases at a rate proportional to the number present, wri

GuDViN [60]

Answer:

1. $\frac{dy}{dt}=ky$

2.543.6

Step-by-step explanation:

We are given that

y(0)=200

Let y be the number of bacteria at any time

$\frac{dy}{dt}$ =Number of bacteria per unit time

$\frac{dy}{dt}\proportional y$

$\frac{dy}{dt}=ky$

Where k=Proportionality constant

2. $\frac{dy}{y}=kdt$ ,y'(0)=100

Integrating on both sides then, we get

$lny=kt+C$

We have y(0)=200

Substitute the values then , we get

$ln 200=k(0)+C$

$C=ln 200$

Substitute the value of C then we get

$ln y=kt+ln 200$

$ln y-ln200=kt$

$ln\frac{y}{200}=kt$

$\frac{y}{200}=e^{kt}$

$y=200e^{kt}$

Differentiate w.r.t

$y'=200ke^{kt}$

Substitute the given condition then, we get

$100=200ke^{0}=200 \;because \;e^0=1$

$k=\frac{100}{200}=\frac{1}{2}$

$y=200e^{\frac{t}{2}}$

Substitute t=2

Then, we get $y=200e^{\frac{2}{2}}=200e$

$y=200(2.718)=543.6=543.6$

e=2.718

Hence, the number of bacteria after 2 hours=543.6

4 0

4 years ago

V=2.5(6.4−t)

Alja [10]

Answer:

6.4 minutes ( or 6 minutes and 24 seconds)

Step-by-step explanation:

Filling up the jug means the empty space is 0, hence V = 0.

We plug in 0 into V and solve for t to get the time required to fill it up:

$V=2.5(6.4-t)\\0=2.5(6.4-t)\\0=16-2.5t\\2.5t=16\\t=\frac{16}{2.5}\\t=6.4$

Hence it will take 6.4 minutes to fill up the jugs.

Note: 0.4 minutes in seconds is $0.4*60=24$ seconds

6 0

3 years ago

6 3/5-2 4/5=? Show how you got the answer

Viktor [21]

Hello there,

Okay so the question is asking us to subtract the two mixed numbers, 6 3/5 - 2 4/5, from each other...

The first step would be to change the mixed numbers to improper fractions:

6 3/5 as improper fraction would be 33/5
2 4/5 as improper fraction would be 14/5

Now we need to make sure that the denominators are the same and in this case they are.

Simply subtract 14 from 33 and you would get 19 and the denominator stays the same so you would get 19/5.

Now turn 19/5 into a mixed number and you would get 3 4/5

The answer to the 6 3/5 - 2 4/5 would be 3 4/5.

Hope I helped,

Amna

7 0

3 years ago

Which triangle is it ?

coldgirl [10]

The answer is: The first triangle. The reasons are shown below:

1. All the triangles are rigth triangles, because they have an angle of 90°. So, let's calculate the others angles of the first one:

Tan(α)^-1= opposite leg/adjacent leg

Opposite leg=5
Adjacent leg=5√3

Tan(α)^-1= 5/5√3
Tan(α)^-1=30°

2. Let's calculate the other angle:

Tan(α)^-1= opposite leg/adjacent leg

Now, the opposite leg will be 5√3 and the adjacent leg will be 5. Then:

Tan(α)^-1= 5√3/5
Tan(α)^-1=60°

As you can see, the angles of first triangle are: 30°,60° and 90°.

5 0

3 years ago

Folders are on sale for $0.15 each. Notebooks are $4.25 each. There are 225 students in 7th grade. What is the total amount it w

Harrizon [31]

Answer:

$1023.75

Step-by-step explanation:

2*.15=.30 + 4.25= 4.55

4.55 * 225 = 1023.75

7 0

3 years ago