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Sphinxa [80]
2 years ago
8

Geometry help, please.

Mathematics
1 answer:
egoroff_w [7]2 years ago
3 0

Answer:

  80°

Step-by-step explanation:

The sum of the marked angles is 145°, so we have ...

  (4x+5)° +(6x -10)° = 145°

  10x -5 = 145 . . . . . . . . . . divide by °, simplify

  10x = 150 . . . . . . . . add 5

  x = 15 . . . . . . . . divide by 10

Then the measure of angle XMN is ..

  angle XMN = (6x -10)° = (6(15) -10)° = 80°

______

<em>Check</em>

angle ZMX = (4(15)+5)° = 65°

and 65° +80° = 145° . . . . as required

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On Tuesday morning, the temperature is -5º F. The temperature rises 3 4 degree each hour for 6 hours before dropping 1 4 degree
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MAJOR HELP!
Feliz [49]

Answer:

The radius of the cone is 21 units

The volume of the cone is 9702 units³

Step-by-step explanation:

* Lets revise the area of the circle and the volume of the cone

- The base if the cone is a circle

- The area of the circle is πr², where r is the radius of the circle

∵ The area of the base of the cone = 1386 units²

∵ The area of the base = πr²

∵ π = 22/7

∴ 1386 = 22/7 (r²) ⇒ multiply each side by 7

∴ 9702 = 22 r² ⇒ divide both sides by 22

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* The radius of the cone is 21 units

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∵ The cone's height is equal to the radius of its base

∴ h = r

∵ The volume of the cone = 1/3 πr²h

∴ The volume of the cone = 1/3 πr²(r) = 1/3 πr³

∵ r = 21 units

∴ The volume of the cone = 1/3 (22/7) (21)³

∴ The volume of the cone = 9702 unit³

* The volume of the cone is 9702 units³

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