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kati45 [8]
2 years ago
14

For two consecutive numbers, five times the number that is less is 3 more than 4 times the greater number, What are the numbers

Mathematics
1 answer:
Gemiola [76]2 years ago
5 0

Answer:

smaller number - 7

greater number - 8

Step-by-step explanation:

let a = smaller number

a + 1 = greater number

the following equation can be derived from the question

(5 x a) = 3 + 4(a + 1)

5a = 3 + 4a + 4

5a = 7 + 4a

5a - 4a = 7

a = 7 = smaller number

a + 1 = 7 + 1 = 8 = greater number

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The sector area of a region of a circle is 23 mi². The central angle, 0 (theta), is 25°. What is the radius?
densk [106]

The radius of the sector is 10.27 miles

<h3>How to find the radius of a sector?</h3>

The area of a sector can be represented as follows;

area of a sector = ∅ / 360 × πr²

where

  • r = radius
  • ∅ = central angle

Therefore,

∅= 25 degrees

area of the sector  = 23 miles²

area of a sector = ∅ / 360 × πr²

23 = 25 / 360 × πr²

cross multiply

23 × 360  = 25πr²

8280 = 25πr²

divide both sides by 25

πr² =  8280 / 25

πr² =  331.2

r² =  331.2 / 3.14

r² = 105.477707006

r = √105.477707006

r = 10.2702336877 miles

Therefore, the radius of the sector is 10.27 miles

learn more on sector here: brainly.com/question/8488428

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4 0
2 years ago
Angle A and Angle B are vertical angles. If the measure of Angle A is 30 degrees, what is the measure of Angle B?
vazorg [7]

Answer: 30 degrees

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