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ArbitrLikvidat [17]
2 years ago
11

Guys pls help me i have to write about angle on an A4 size paper

Mathematics
1 answer:
barxatty [35]2 years ago
5 0

Answer:

90 degrees

Step-by-step explanation:

A corner of a A4 size paper forms the angle of 90°. Every corner of a A4 size paper forms the angle of 90°.

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A square has a side length of 3 inches. What is the length of the diagonal distance across the square ?
astraxan [27]

Answer:

4.243

Step-by-step explanation:

To calculate the diagonal of a square, multiply the length of the side by the square root of 2:

d = a√2

d = 3√2=4.24264068

7 0
3 years ago
brittany's first four quiz grades are 78 81 69 and 94 what would her next quiz score need to be in order to have a mean score of
mina [271]
The mean is the sum of all numbers divided by the number of numbers. We can set up an equation:

\sf\dfrac{78+81+69+94+x}{5}=79

Where 'x' is the next quiz score she need. Solve for 'x'. Multiply 5 to both sides:

\sf 78+81+69+94+x=395

Add:

\sf 322+x=395

Subtract 322 to both sides:

\boxed{\sf x=73}

So her next quiz score needs to be 73 in order to have a mean score of 79  on all her quizzes.
7 0
4 years ago
Read 2 more answers
A 500 gallon tank initially contains 200 gallons of water with 5 lbs of salt dissolved in it. Water enters the tank at a rate of
Lapatulllka [165]
Until the concerns I raised in the comments are resolved, you can still set up the differential equation that gives the amount of salt within the tank over time. Call it A(t).

Then the ODE representing the change in the amount of salt over time is

\dfrac{\mathrm dA}{\mathrm dt}=\text{rate in}-\text{rate out}
\dfrac{\mathrm dA}{\mathrm dt}=\dfrac{2\text{ gal}}{1\text{ hr}}\times\dfrac{\frac15(1+\cos t)\text{ lbs}}{1\text{ gal}}-\dfrac{2\text{ gal}}{1\text{ hr}}\times\dfrac{A(t)\text{ lbs}}{500+(2-2)t}
\dfrac{\mathrm dA}{\mathrm dt}=\dfrac25(1+\cos t)-\dfrac1{250}A(t)

and this with the initial condition A(0)=5

You have

\dfrac{\mathrm dA}{\mathrm dt}+\dfrac1{250}A(t)=\dfrac25(1+\cos t)
e^{t/250}\dfrac{\mathrm dA}{\mathrm dt}+\dfrac1{250}e^{t/250}A(t)=\dfrac25e^{t/250}(1+\cos t)
\dfrac{\mathrm d}{\mathrm dt}\left[e^{t/250}A(t)\right]=\dfrac25e^{t/250}(1+\cos t)

Integrating both sides gives

e^{t/250}A(t)=100e^{t/250}\left(1+\dfrac1{62501}\cos t+\dfrac{250}{62501}\sin t\right)+C
A(t)=100\left(1+\dfrac1{62501}\cos t+\dfrac{250}{62501}\sin t\right)+Ce^{-t/250}

Since A(0)=5, you get

5=100\left(1+\dfrac1{62501}\right)+C\implies C=-\dfrac{5937695}{62501}

so the amount of salt at any given time in the tank is

A(t)=100\left(1+\dfrac1{62501}\cos t+\dfrac{250}{62501}\sin t\right)-\dfrac{5937695}{62501}e^{-t/250}

The tank will never overflow, since the same amount of solution flows into the tank as it does out of the tank, so with the given conditions it's not possible to answer the question.

However, you can make some observations about end behavior. As t\to\infty, the exponential term vanishes and the amount of salt in the tank will oscillate between a maximum of about 100.4 lbs and a minimum of 99.6 lbs.
5 0
4 years ago
What is (a^2-b^2) factored out?
rosijanka [135]

Answer:

(a+b)(a-b)

Step-by-step explanation:

because (a+b)(a-b):

If you use FOIL it will work backwards

5 0
3 years ago
Beetle cellular offers cellular phone service for 39.95 a month plus one cent a minute. Salamander digital offers cellular phone
Ivahew [28]

Answer:

750 minutes

Step-by-step explanation:

Let the number of minutes be represented as x

1 cent = 0.01

Beetle cellular offers cellular phone service for 39.95 a month plus one cent a minute.

$39.95 + 0.01x

Salamander digital offers cellular phone service for 9.95 a month plus five cents a minute.

$9.95 + 0.05x

How many minutes would a person need to use a month for beetle cellular to cost the same as salamander digital?

This is calculated as:

Beetle cellular = Salamander digital

$39.95 + 0.01x = $9.95 + 0.05x

Collect like terms

$39.95 - $9.95 = 0.05x - 0.01x

$30.00 = 0.04x

x = $30.00/0.04

x = 750 minutes

A person need to use 750 minutes a month for beetle cellular to cost the same as salamander digital.

4 0
3 years ago
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