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Sedaia [141]
3 years ago
13

Which is an algebraic expression for five more then Z?

Mathematics
2 answers:
algol [13]3 years ago
5 0
5 > Z more than is always like this > more than or equal to is like this > with a line under it  <span />
faltersainse [42]3 years ago
4 0
I believe the answer would be Z < (Z+5)
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A measuring cylinder of radius 3cm contains water to a height of 49cm. if this water is poured into a similar cylinder of radius
levacccp [35]

Hey there! I'm happy to help!

Hey there! I'm happy to help!

First, let's find the area of the circle of the first cylinder. To do this, we square the radius and multiply by 3.14.

3²=9

9×3.14=28.26

Now we multiply by our height of 49 cm to see how much water there is.

28.26×49=1384.74

Now, let's find the area of the circle of the 7 cm cylinder.

7²=49

49×3.14=153.86

Now, we will take our liquid amount (volume) and divide by this circle amount (base) to find the number of centimeters of height of the water column.

1384.74÷153.86=9

So, the height of our water column will be 9 cm.

Have a wonderful day and keep on learning! :D

5 0
3 years ago
Use an Addition or Subtraction Formula to find the exact value of the expression, as demonstrated in Example 1. cos 41π 12.
PtichkaEL [24]

Answer: \frac{\sqrt{6}-\sqrt{2}}{2}

Step-by-step explanation:

We apply the formula \cos(x+y)=\cos(x)\cos(y)-\sin(x)\sin(y).

Note that  \cos(\frac{41}{12}\pi)=\cos((\frac{36}{12}+\frac{7}{12})\pi)=\cos(3\pi + \frac{7}{12})\pi). Take  x=3\pi and y=\frac{7}{12}\pi in the formula above to get

\cos(\frac{41}{12}\pi)=\cos(3\pi)\cos(\frac{7}{12}\pi)-\sin(3\pi)\sin(\frac{7}{12}\pi)=(-1)\cdot \cos(\frac{7}{12}\pi)-0\cdot\sin(\frac{7}{12}\pi)=-\cos(\frac{7}{12}\pi)

Then the value of this expression is -\cos(\frac{7}{12}\pi)

We can use the cosine addition formula again to simplify further. Decompose the fraction in the argument as:

\cos(\frac{7}{12}\pi)=\cos((\frac{3}{12}+\frac{4}{12})\pi)=\cos((\frac{1}{4}\pi + \frac{1}{3})\pi)

Applying the formula with x=\frac{1}{4}\pi and y=\frac{1}{3}\pi we obtain

\cos(\frac{7}{12}\pi)=\cos(\frac{1}{4}\pi)\cos(\frac{1}{3}\pi)-\sin(\frac{1}{4}\pi)\sin(\frac{1}{3}\pi)=\frac{\sqrt{2}}{2}\cdot\frac{1}{2} -\frac{\sqrt{2}}{2}\cdot\frac{\sqrt{3}}{2}=\frac{\sqrt{2}-\sqrt{6}}{2}

We conclude that this expression has the value -\frac{\sqrt{2}-\sqrt{6}}{2}=\frac{\sqrt{6}-\sqrt{2}}{2}

8 0
3 years ago
7. WILL MARK BRAINLIEST!! HELP! ​
Vilka [71]

Step-by-step explanation:

first factorise the denominator

6 0
3 years ago
Given that g(x)=x^2-4x-5, find (g*g) (-2)
irinina [24]

the first question...the answer is 10

see;x is our unknown number

so;27-2=25

x + 15=25

x = 25-15

x =10

10 + 15 = 25

25 + 2 = 27

4 0
4 years ago
Read 2 more answers
Combine like terms 4a2-3b2+ 4b + 10a2
jolli1 [7]

Answer:

14a² - 3b² + 4b

Step-by-step explanation:

Like terms are the terms that have similar stuff on it, like same variables, no variables, and stuff like that.

4a2-3b2+ 4b + 10a2

4a² and 10a² is similar. 4a² + 10a² = 14a²

Now, the equation is 14a² - 3b² + 4b. There is no more like terms left, so that is the answer.

Hope this helps!!

-Ketifa

4 0
3 years ago
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