Answer:f(x) = 80x + 65f
Step-by-step explanation:
Since x = days and y = total rent, you've been given two points on your function: (5, 465) and (7, 625). We'll find the slope using those two points:
(625 - 465) / (7 - 5) = 160/2 = 80
Then, use m = 80 and one of the points to write the equation of your line in point-slope form:
y - y1 = m(x - x1)
y - 465 = 80(x - 5)
Convert that to standard form:
y = 80(x - 5) + 465
y = 80x - 400 + 465
y = 80x + 65
y - 80x = 65
In function notation, that's:
f(x) = 80x + 65
The answer you are looking for is 8.3%.
To find this, you must find out how many students did not choose to voice their opinions. Simply add 17 and 5 to get 22, and subtract 22 from 24. This will give you 2 students who didn't voice their opinions. Then, divide 2 by 24. In doing so, you'll get 0.083333... which you multiply by 100 to get a percent. You'll be left with 8.3333... which rounded to the nearest tenth, is 8.3%.
I hope this helps!
Answer: height = 13.9 cm
Step-by-step explanation:
The base area of a cone is the area of a circle. Given that base area = 98.56 cm^2
Base area = πr^2
Substitutes the value into the formula
98.56 = 22/7 × r^2
Cross multiply
689.92 = 22r^2
r^2 = 689.92/22
r = sqrt ( 31.36 )
r = 5.6 cm
Also, the curved surface area of a cone is πrL
Where the given value is 264 cm^2
Substitutes the value into the formula
264 = 22/7 × 5.6 × L
Where L = slant height
Cross multiply
123.2L = 1848
L = 1848 /123.2
L = 15 cm.
Using pythagorean theorem to find the height H of the cone.
H^2 = L^2 - r^2
H^2 = 15^2 - 5.6^2
H = sqrt( 193.64 )
H = 13.9 cm
To solve the question we shall use the formula for the range given by:
Horizontal range, R=[v²sin 2θ]/g
plugging in our values we get:
500=[160²×sin 2θ]/10
5000=160²×sin 2θ
0.1953=sin 2θ
thus:
arcsin 0.1953=2θ
11.263=2θ
hence:
θ=5.6315°~5.63
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