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leva [86]
4 years ago
11

I need help on this

Mathematics
1 answer:
Naily [24]4 years ago
5 0

Answer:x=90° y=58° z=32°

Step-by-step explanation:

x=90

y=180-(90+32) sum of angles in a triangle is 180

y=58

y+90+z=180 they are supplementary

58+90+z=180

148+z=180

z=180-148

z=32

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Find the surface area of each figure (spheres and hemispheres)
xenn [34]

Answer:

7. 1520.53 cm²

8. 232.35 ft²

9. 706.86 m²

10. 4,156.32 mm²

11. 780.46 m²

12. 1,847.25 mi²

Step-by-step explanation:

Recall:

Surface area of sphere = 4πr²

Surface area of hemisphere = 2πr² + πr²

7. r = 11 cm

Plug in the value into the appropriate formula

Surface area of the sphere = 4*π*11² = 1520.53 cm² (nearest tenth)

8. r = ½(8.6) = 4.3 ft

Plug in the value into the appropriate formula

Surface area of the sphere = 4*π*4.3² = 232.35 ft² (nearest tenth)

9. r = ½(15) = 7.5 m

Surface area of the sphere = 4*π*7.5² = 706.86 m² (nearest tenth)

10. r = ½(42) = 21 mm

Plug in the value into the formula

Surface area of hemisphere = 2*π*21² + π*21² = 2,770.88 + 1,385.44

= 4,156.32 mm²

11. r = 9.1 m

Plug in the value into the formula

Surface area of hemisphere = 2*π*9.1² + π*9.1² = 520.31 + 260.15

= 780.46 m²

12. r = 14 mi

Plug in the value into the formula

Surface area of hemisphere = 2*π*14² + π*14² = 1,231.50 + 615.75

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8 0
3 years ago
ASAP <br>What is the domain?
WARRIOR [948]

real numbers hope it helps

7 0
3 years ago
Choose the correct simplification of the quantity of x to the 7th power over y to the 9th power all raised to the 2nd power.
Nina [5.8K]
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3 years ago
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(8,6) for 2 + y = x and -2y + 20 = x <br> Can someone help me please.
ehidna [41]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
in 2.5 hours, Mr. Castelli drives a distance of 125 miles. He wants to know his average driving speed in the meters per minute.
Ulleksa [173]

Answer:

1,350 meters per min

Step-by-step explanation:

Given that Mr. Castelli covers 125 miles in 2.5 hours, the average speed = \frac{distance}{time}.

In miles per hr, average speed = \frac{125}{2.5} = 50 miles/hr.

Converting 50 miles/hr to km per hr:

If 1 miles = 1.62 km (unit conversion)

50 miles = 50*1.62 = 81 km/hr

Converting 81 km/hr to meters per hr:

1 km = 1,000 m (unit conversion)

81 km = 81*1,000 = 81,000 m/hr

Converting 81,000 m/hr to meters per minutes:

60 mins = 1 hr

Therefore, average speed = \frac{81,000}{60} = 1,350 meters/min

Average driving speed of Mr Castelli in meters per minute = 1,350 meters per minute.

4 0
3 years ago
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