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Elenna [48]
4 years ago
15

The waiter places a bowl of soup in front of Igor. In a counterclockwise direction, he passes the soup to Elan who then passes i

t to Abbey. Which two rotations about the center of the table describe passing the soup?
A) first 80° and then 80°
B) first 120° and then 120°
C) first 144° and then 144°
D) first 160° and then 160°

Mathematics
1 answer:
baherus [9]4 years ago
7 0
\alpha=\frac{360^o}{12}=30^o\\\\Igor-Elan\to4\cdot30^o=120^o\\\\Elan-Abbey\to4\cdot30^o=120^o\\\\Answer:C

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The ratio of blue marbles to green marbles in the box is 13 to 24.
Papessa [141]

Answer:

37

Step-by-step explanation:

13 blue

24 green

4 0
3 years ago
Can you show us how to find the discriminant of the quadratic x^2 + 2x -2 =0
lorasvet [3.4K]
<em>Step #1: </em>
Make sure the equation is in the form of [ Ax² + Bx + C = 0 ].

Yours is already in that form.
A = 1
B = 2
C = -2

<em>Step #2:</em>
The 'discriminant' for that equation is [ B² - 4 A C ].
That's all there is to it, but it can tell you a lot about the roots of the equation.

-- If the discriminant is zero, then the left  side of the equation is a perfect square,
and both roots are equal. 

-- If the discriminant is greater than zero, the the roots are real and not equal.

-- If the discriminant is less than zero, then the roots are complex numbers.

The discriminant of your equation is  [ B² - 4 A C ] = 2² - 4(1)(-2) = 4 + 8 = 12

Your equation has two real, unequal roots.



4 0
3 years ago
Read 2 more answers
Janice is studying the effect of pipe size on water flow rates. In
Leni [432]

Answer:

208.6 gal/min

Step-by-step explanation:

For 2" pipe,

Given Volume = 463.2 gal, time = 12 min

flow rate for 2" pipe

= Volume ÷ time

= 463.2÷12

= 38.6 gal/min

For 4" pipe,

Given Volume = 1730.4 gal, time = 7 min

flow rate for 4" pipe

= Volume ÷ time

= 1730.4÷7

= 247.2 gal/min

Difference in flow rate = 247.2 - 38.6 = 208.6 gal/min

7 0
4 years ago
How many cubic feet will it take to fill the prism below?
stiv31 [10]

Answer:

580

Step-by-step explanation:

I wanted to use the Pythagoras theory but I noted that they've given us the hypotenuse which is 8.6 they have already given us the height is 7 and the base is 5 when you use the Pythagoras theory you'll find that there hypotenuse is 8.6 that's why I wrote forget it there's no need of finding the base and the height for the other triangle just transfer 7 and 5 then calculate the volume I guess I got the answer is 580 hope it helps you good day.

8 0
3 years ago
Devaughn is 9 years younger than Sydney. The sum of their ages is 83 . What is Sydney's age?
Vesna [10]
D:devaughn
S:sydney

D+S=83. First equation
D=S-9. Second equation
D-S=-9

Add 2 equations

D+S+D-S=83-9
2D=74
D=37

Devaughn is 37 years old
So

D+S=83
37+S=83
S=46

Sydney is 46 years old
4 0
2 years ago
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