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ICE Princess25 [194]
3 years ago
11

If z is divisible by all the integers from 1 to 5 inclusive,what is the smallest value of z?

Mathematics
1 answer:
andre [41]3 years ago
7 0
60

It's the first number that you can put all of them into. 
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A number between 8 and 15 is picked random. What is the probability that the number picked is an even number
ser-zykov [4K]
Numbers BETWEEN 8 and 15 are: 9, 10, 11, 12, 13, 14
Out of these 6 numbers 3 are even.
P(even) = 3/6 = 1/2
3 0
4 years ago
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Donnel practiced the piano 3 hours longer than Marcus. Together they practiced the piano for 11 hours. How many hours did each b
andriy [413]
Here is the equation: x+(x+3)=11 ⇒x+x+3=11


You need to get "x" by itself so minus 3 from each side

x+x+3-3=11-3 ⇒ x+x=8 ⇒ 2x=8

Divide 8 by 2

8 ÷ 2=4

x=4

So each 4 is equivalent to 4 

Lets check:

4+(4+3)=11 ⇒ 4+4+3=11 ⇒ 11=11

So that means that Marcus practiced the piano for 4 hours and Donnel practiced for 7 
4 0
3 years ago
The hypotenuse of a 45°-45°-90° triangle measures 18 cm. What is the length of one leg of the triangle?
s2008m [1.1K]
Special prpoerty of 45-45-90 triangle
if the legs are x then the hyptonuse is x√2

18=hyptonuse=x√2

18=x√2
divide both sides by √2
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make denomenator nice
times by √2/√2
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3 0
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Convert 210° to raidians
Over [174]

Answer:

3.66519

Step-by-step explanation:

Converting between degrees and radians is pretty easy. To convert radians to degrees, multiply by 180° and divide by ∏. To convert degrees to radians, divide by 180° and multiply by ∏.

3 0
3 years ago
Simplify <img src="https://tex.z-dn.net/?f=%28cosx%20%2B%20cosx%20tan%5E2x%29%28secx%29." id="TexFormula1" title="(cosx + cosx t
Vedmedyk [2.9K]
Hello,

We have the equation:

( Cosx + Cosx.tg^2x).Secx

We know too:

Tgx = Senx/Cosx

Then,

Cosx.Tg^2x = Cosx . Sen^2x / cos^2x

= Sen^2x/cosx

Then, we stay with:

(Cosx + Sen^2x/Cosx) . Secx

There is a trigonometric property that says:

Sec x = 1 / Cosx

Then, this mean:

Secx = 1 / cos x

Then,

( Cosx + Sen^2/Cosx). 1/Cosx

Applying the distributive:

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Simplifying Cos x/ cosx

1 + Sen^2x / Cos^2x

Rewrinting Sen^2x/Cos^2x = Tg^2x

Then us stay:

= 1 + Tg^2x = Sec^2x <=> I hope this has helped
4 0
3 years ago
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