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frozen [14]
4 years ago
6

Which of the following represents a synthesis reaction?

Mathematics
1 answer:
Serggg [28]4 years ago
4 0

Answer:

A+B+C=ABC

In a synthesis reaction, reactants are added together

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A circle has a sector with area 33 pi and a central angle of 11/6 pi radians. What is the area of a circle?
Mashutka [201]

Answer:

36π

Step-by-step explanation:

The area of a circle is given as:

A = \pi r^2

where r = radius of the circle

The area of a sector of a circle is given as:

A_s = \frac{\alpha }{2\pi} * \pi r^2

where α = central angle in radians

Since \pi r^2 is the area of a circle, A, this implies that:

A_s = \frac{\alpha }{360}  * A

A circle has a sector with area 33 pi and a central angle of 11/6 pi radians.

Therefore, the area of the circle, A, is:

33 \pi = \frac{\frac{11 \pi}{6} }{2 \pi} * A\\\\33\pi = \frac{11}{12} * A\\\\=> A = \frac{33\pi * 12}{11}\\ \\A = \frac{396 \pi}{11} \\\\A = 36\pi

The area of the circle is 36π.

5 0
3 years ago
Read 2 more answers
What number should be added to 18 to get a sum of −97?
NARA [144]

x  + 18 =  - 97 \\ x =  - 115
Answer: -115 should be added to 18 to get a sum of -97.

Hope this helps. - M
6 0
4 years ago
What is negative five over eight -5/8 b = 10
anastassius [24]
- \frac{5}{8}\cdot b = 10 \ \ \ |multiply\ both\ sides\ by\ (-\frac{8}{5}) \\\\(-\frac{8}{5})\cdot (- \frac{5}{8})\cdot b =(-\frac{8}{5})\cdot 10\\\\b=(-8)\cdot 2\\\\b=-16


8 0
3 years ago
Math open ended, written response question please help..
Agata [3.3K]

CXD=AXF=AXG+GXF \\  90°=32°+GXF \\  GXF=58° \\  BXE=BXA+AXG+GXF+FXE=40°+32°+58°+28°=158°
3 0
3 years ago
Good afternoon!
Vladimir [108]

9514 1404 393

Answer:

  5) 112°

  6) 40°

Step-by-step explanation:

5) The angle E or ? is half the sum of the intercepted arcs:

  ? = (130° +94°)/2 = 112°

__

6) The angle D is half the difference of the intercepted arcs:

  ? = (135° -55°)/2 = 40°

8 0
3 years ago
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