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lesya692 [45]
3 years ago
8

Evaluate the expressions for when x=-1, y=3, z=-2 z²+x²-y and x²y²z²

Mathematics
1 answer:
Vika [28.1K]3 years ago
4 0

Step-by-step explanation:

z² +x² - y= -2²+ -1² - 3

4+ 1 - 3= 2

x²y²z²= -1²× 3²× -2²

1× 9× 4= 36

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The angles of a triangle add up to 180 degrees.
Alex_Xolod [135]

Answer:

33°

Step-by-step explanation:

We were given that:

1- The angles of a triangle add up to 180 degrees

2- The second angle is 15 degrees larger than the smallest angle

3- The third angle is 3 times as big as the smallest angle

So, first of all, let's call the smallest angle x.

the second angle will be (x + 15°) since it is 15 degrees greater than the smallest angle

and the third will be 3x, since it is 3 times bigger than the smallest angle.

With the information we have, we can form an equation!

180° = x + (x+ 15°) + 3x

180° = 5x + 15°

180° - 15° = 5x + 15° - 15°

165° = 5x

165°/5 = 5x/5

33° = x

therefore, the smallest angle measures 33° degrees, the second angle measures 48° and the third angle measures 99°.

99° + 33° + 48° = 180°

so it is safe to say this answer is correct!

8 0
3 years ago
What is the value of x
borishaifa [10]
x^2=4^2+4^2\\
x^2=2\cdot16\\
x^2=32\\
x=\sqrt{32}=4\sqrt2
5 0
4 years ago
The waiting time to a roller coaster is 20 minutes when 150 people are in line. How long is the waiting time when 240 people are
scoray [572]
So, the first thing you want to find out is how many seconds each person adds to the wait time. Find out how many seconds are in 20 minutes.. 20*60=120. 120/150=0.8 seconds. Each person adds 0.8 seconds to the wait time. Now, multiply that by 240.. 240*0.8=192 seconds. Lastly, find out how many minutes 192 seconds is... 192/60=32 minutes.
I hope I did that right! And if I did, I hope that helped!
5 0
3 years ago
I need to find the ratio of the line
Tom [10]
-2 or -2/1 because the ratio is y over x and the line is going down 2 (-2) every time it goes to the right once (1)
7 0
3 years ago
Find the missing side lengths. Leave your answers as radicals in simplest form. Show your work to support your answer ​
kotegsom [21]

Answer

x=2 and y=2√2

Step-by-step explanation:

\sin( \alpha )  =  \frac{2 \sqrt{2} }{x }  \\ x =  \frac{2 \sqrt{2} }{ \sin(45) }  \\ x = 4 \\  {x}^{2}  =  {y}^{2}  + 2 \sqrt{2}  \\  {4}^{2}  =  {y}^{2}  + (2 \sqrt{2 \: )}^{2}  \\ 16 =  {y}^{2}  + 8 \\ 16 - 8 =  {y}^{2}  \\ y =  \sqrt{8}  \\ y = 2 \sqrt{2}

3 0
2 years ago
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