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zalisa [80]
3 years ago
8

Please help me i dont understand

Mathematics
1 answer:
kotegsom [21]3 years ago
4 0

Answer:

Step-by-step explanation:

take 52 degree as reference angle

using tan rule

tan 52=opposite/adjacent

1.27=x/21

1.27*21=x

26.67=x

26.9=x

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Which set of ordered pairs represents a function?
finlep [7]

Answer:

{(-1,0),(-8, 9), (7,0), (1,3)}

Step-by-step explanation:

number 3 is the only one with no colliding outputs.

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HELP 40 POINTS ASAP a biker traveled 20 miles in 4 hours. a unit rate to describe this would be 5 miles per hour. What is anothe
Allisa [31]

Answer: 12 minutes per mile

Step-by-step explanation: 20 miles) / (4 hours) = (20/4) (miles/hours)  =  5 miles per hour

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4 0
3 years ago
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
I have no idea:
kap26 [50]
So we have the formula: c= \frac{d}{p}
where 
d is the distance in kilometers 
p is the petrol in liters 
c is the petrol consumption in kilometers per liter 

We now for our problem that  <span>David drove a distance of 187 km, so </span>d=187. We also know that  he used 28 liters of petrol, so p=28. Lets replace those values in our formula to find the petrol consumption:
c= \frac{d}{p}
c= \frac{187}{28}
c=6.67857

Now, remember that are some rules to determine the number of significant figures in a number:
1. Non-zero digits are always significant figures.
2. A zero between tow significant figures is always a significant figure.

Applying those tow rules we realize that c has 6 significant figures, whereas d has three significant figures and p only two. In mathematical operations with significant figures, the answer should be given with the same significant figures as the number with least significant figures involved in the operations. In our case, that number is p, and p has two significant figures, so our answer should have 2 significant figures. To give our answer with 2 significant figures, we are going to round it:
c=6.67857
c=6.7

We can conclude that the patrol consumption of David's vehicle is 6.7 kilometers per liter. 

7 0
3 years ago
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