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3 years ago

Dante's cell phone company charges $58 per month

Mathematics

1 answer:

Digiron [165]3 years ago

6 0

Dante had sent 35 texts last month.

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Can anyone teach mee.....................

andrew11 [14]

Answer:

(i) The name of the part of the circle, OQ is a radius

(ii) The radius of the sector QOR is 21 cm

Step-by-step explanation:

The given figure is a sector of the circle O

∵ Any sector of a circle formed from 2 radii and an arc

∴ OQ is a radius

(i) The name of the part of the circle, OQ is a radius

The rule of the length of an arc of a circle is L = $\frac{\alpha }{360}$ × 2 π r, where

α is the angle of the sector

r is the radius of the circle

∵ The length of the arc QR is 22 cm

∴ L = 22

∵ The measure of the angle of the arc is 60°

∴ α = 60°

∵ π = $\frac{22}{7}$

→ Substitute them in the rule above

∵ 22 = $\frac{60}{360}$ × 2 × $\frac{22}{7}$ × r

∴ 22 = $\frac{22}{21}$ r

→ Divide both sides by $\frac{22}{21}$

∴ 21 = r

(ii) The radius of the sector QOR is 21 cm

5 0

2 years ago

Please help me with this question!

nika2105 [10]

Answer:

Step-by-step explanation:

3 0

3 years ago

Marcia walked 900 meters on Friday. On Saturday, she walked 4 kilometers, On Sunday, she walked 3 kilometers,600 meters. How man

goblinko [34]

Answer:8.5km

Step-by-step explanation:

5 0

2 years ago

Show that for any real number x ≥ 0 the set (x,x + 1]∩N is a singleton set

inessss [21]

Answer: First, a singleton set is the set with only one element, for example, the set {∅} or set "null" is a singleton.

now, X ≥ 0, and X ∈ R.

(x,x + 1]∩N is the intersection between the set x and x+1 with the set of natural numbers, so the result of this operation is the set of all the natural numbers between x and x+1.

if x is a rational (or irrational) number, such as 1.5, then x +1 = 2.5

in (1.5, 2.5] there is only one natural element, the 2, then (x,x + 1]∩N is the singleton {2}

if x is a positive integer number, such as 1, then x + 1 = 2

the set is (1,2] is important to notice that 1 ∉ (1,2] because the set is open in the lower limit. so this set only contains one natural number, the 2; so again; the intersection with the natural set is a singleton

So this is proven for x rational, irrational and integers.

This happens because each element in the natural set is separated by the next one by 1, and in the set (x,x + 1] although the distance between the lower and upper limits is 1, the set is open in the lower limit, so the distance is < 1. then you never can have two natural numbers on this set.

8 0

3 years ago

-| -8 | |-(-8) are they equal ? Or which one is more ?

satela [25.4K]

Answer:

-| -8 | is less than |-(-8)|

Step-by-step explanation:

-| -8 | =-8

|-(-8)| =8

they are not equal

-| -8 | is less than |-(-8)|

5 0

3 years ago