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sammy [17]
3 years ago
14

The answerand how to do it

Mathematics
1 answer:
AlladinOne [14]3 years ago
3 0
Xian = 56 stamps + 12 per month : 12m + 56
kai = 80 stamps +  8 per month : 8m + 80

when will they have same number of stamps ? set them equal.
m = number of months

12m + 56 = 8m + 80
12m - 8m = 80 - 56
4m = 24
m = 24/4
m = 6.....at 6 months, they will have the same number of stamps.
12m + 56 = 12(6) + 56 = 128
8m + 80 = 8(6) + 80 = 128
They will both have 128 stamps





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Evaluate the following in polar and standard forms. Select all answers that apply. [3(cos(27°) isin(27°))]^5
Roman55 [17]
Using <span>De Moivre's formula
</span>
if z = a ( cos x + i sin x ) ⇒⇒⇒ ∴ z^n = a^n ( cos nx + i sin nx)

Part (1) 
∴ [ 3 (cos 27° + i sin 27°) ]⁵ = (3⁵) ( cos 5*27° + i sin 5*27°)
= 243 ( cos 135° + i sin 135°)  ⇒⇒⇒⇒ Polar form
=================================
Part (2)

The angle 135° in the second quadrant ⇒ sin is (+)  and cos is (-)
and its reference angle = 180° - 135° = 45°
sin 45° = cos 45°= 1/√2 = (√2)/2
∴ sin 135° = (√2)/2    and  cos 135° = -(√2)/2
∴ 243 ( cos 135° + i sin 135°) = 243 [ -(√2)/2 + i (√2)/2 ]

= - 243(√2)/2 + 243 (√2)/2 i ⇒⇒⇒⇒ standard form
===========================================
The correct answers are options (1) and (3)

option (1) ⇒⇒⇒ 243 ( cos 135° + i sin 135°)  ⇒⇒⇒⇒ Polar form  
option (3) ⇒⇒⇒ - 243(√2)/2 + 243 (√2)/2 i     ⇒⇒⇒⇒ standard form

7 0
4 years ago
Write an expression using fractions to show how to determine the amount that each person will pay?Then calculate each person's c
scoray [572]
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8 0
3 years ago
[NEED HELP]
Alinara [238K]

Answer:

1. vertical-line test

2.y=x

3.x

4.domain

Step-by-step explanation:

I just did it on edg and it’s right.

3 0
4 years ago
Read 2 more answers
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Shtirlitz [24]
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The dot plot for this data set is shown in the picture.

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3 years ago
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Answer:

28.6 ft

Step-by-step explanation:

Given an hemisphere of volume 49037 ft^3

Volume of a Hemisphere of radius r =\frac{2}{3}\pi r^3

Therefore:

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The radius of the hemisphere is 28.6 foot to the nearest tenth.

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