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nirvana33 [79]
3 years ago
9

Evaluate each expression when x = 8, and z = 10

Mathematics
1 answer:
sveticcg [70]3 years ago
7 0

Answer:

x = 2

y = 4

z = 8

1. xy

10

2. x + z

8

3. z - y

4

4. x + y + z

14Step-by-step explanation:

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Find x<br><br><br><br><br> Thanks for the help in advance!
Marina86 [1]

I'm not sure if this is the easiest way of doing this, but it surely work.

Let the base of the triangle be AB, and let CH be the height. Just for reference, we have

AH=2,\quad HB=6,\quad AC=x

Moreover, let CH=y and BC=z

Now, AHC, CHB and ABC are all right triangles. If we write the pythagorean theorem for each of them, we have the following system

\begin{cases}4+y^2=x^2\\36+y^2=z^2\\x^2+z^2=64\end{cases}

If we solve the first two equations for y squared, we have

y^2=x^2-4\\y^2=z^2-36

And we can deduce

z^2 = x^2+32

So that the third equation becomes

x^2+x^2+32=64 \iff 2x^2 = 32 \iff x^2=16 \iff x=4

(we can't accept the negative root because negative lengths make no sense)

7 0
3 years ago
Beverages at the Store 2,000 milliliters of soda 2.5 liters of apple juice 1,500 milliliters of fruit punch 2 liters of lemonade
klemol [59]
1000 millilitres = 1 litre
soda= 2 litres
apple juice = 2.5 litres
fruit punch = 1.5 litres
lemonade = 2 litres
2+2.5+1.5+2= 8 litres
10 - 8 = 2 litres

so, the combinations could be:

2 soda, 1 apple juice, 1 fruit punch and 1 lemonade

or

1 soda, 1 apple juice, 1 fruit punch and 2 lemonade
4 0
3 years ago
Read 2 more answers
The sector of a circle with a 12 in. radius has a central angle measure of 60°. What is the exact area of the sector in terms of
Lana71 [14]
That is angle/360 times area

area=pir^2
r=12 in this one
and angle=60
so
60/360 times pi12^2=1/6 times 144pi=24pi square inches
3 0
3 years ago
5
natulia [17]

Answer:

I think 1 day

Step-by-step explanation:

I am not sure :)

8 0
3 years ago
6.45 and 10.2 how does the estimate compare to the exact product
MrMuchimi
While estimating you would round the decimals and you would think in terms of how would the answer look like when you multiply 64 with 10...  640ish..and then you think about the decimals a little,,, soyou will put decimal after 64... and that will give you 64.0 or something ...While the exact answer id 65.79... Close enough.
Hope I helped..
Please mark the brainliest if I did help!
5 0
3 years ago
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