Cost of Alejandro's food = $12
Tip paid by Alejandro = 20% of his bill = 20% of 12 = 2.4
Cost of Mia's food = $18
Tip paid by Mia = 15% of his bill = 15% of 18 = 2.7
Total Tip Paid = 2.4+2.7 = 5.1
Total Check Amount = 12 + 18 = 30
Total tip paid by Alejandro and Mia is r% of the total check amount.
So, we need to determine what % of 30 is equal to 5.1%
⇒ r% × 30 = 5.1
⇒ r% = 5.1 / 30
⇒ r% = 17%
Hence, r is 17%
A circle’s standard form of an equation is:
(x-h)^2 + (y-k)^2 = radius^2
Plug in h and k immediately because that is something you automatically know. H and k are derived from the center of the circle. The center of the circle is (h,k). Don’t get tripped up though, your center of a circle has negative coordinates. When you have two negatives, they become positive.
So now you have:
(x+4)^2 + (y-2)^2 = radius^2
So figure out what the radius is. Use the distance formula to find out. You have a change of 5 from -4 to 1 in x. You have a change of 2 from 2 to 4 in y. Distance formula has the distance as the square root of x distance squared and y distance squared. That would mean that the distance/radius is equal to the square root of (25 + 4). 5 squared is 25 while 2 squared is 4.
The radius of the circle is equal to the square root of (29). However, looking back at the circle equation the radius should be squared for the equation. Square root of 29 squared gets you 29.
Plug that in and you get:
(x+4)^2 + (y-2)^2 = 29
the upper quartile is 160
The angular measure L is : 47°
<h3>What are angles?</h3>
Angles are formed when two lines meet.
Analysis:
Firstly, we calculate for m using cosine rule.
= 
+ 
-2(510)(820) cos 20
= 260100 + 672400 -83600(0.9396)
= 146618.56
m = 
= 382.9cm
using sine rule to find ∠L
382.9/sin20 = 820/sinL
sinL = 820sin20/382.9
sinL = 820(0.342)/382.9
sinL = 0.732
L = sin inverse of 0.732 = 47°
In conclusion, ∠L is 47°
Learn more about sine and cosine rule: brainly.com/question/4372174
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So she has 396460
she will withdarw 1700 per month, and withdraw is loss or minus or (-)
after x months, she has 359060 left so
total-withdrawn=remaining
withdrawwn=1700 times months so withdrawn=1700x
total-1700x=remaining
total=396460
reaining=359060
subsitute
isolate x then divide is the strategy
396460-1700x=359060
add 1700x to both sides
396460=359060+1700x
subtract 359060 from both sides
37400=1700x
divide both sides by 1700
22=x
she has been retired for 22 months
