Answer:
Step-by-step explanation:
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Answer:
The circumference of the circle is 5π
Step-by-step explanation:
First we need to calculate the diameter
for this we have to know the distance between A(1, 3) and B(4, 7)
X = Xb - Xa
X = 4 - 1
X = 3
Y = Yb - Ya
Y = 7 - 3
Y = 4
b - a = (3 , 4)
now that we have the distance of x and r we can calculate its distance using Pythagoras
h = hypotenuse
x = leg 1 = 3
y = leg 2 = 4
h² = x² + y²
we replace the known values
h² = (3)² + (4)²
h² = 9 + 16
h² = 25
h = √25
h = 5
The diameter of the circle is 5
Now we need to calculate the circumferencefor this we need to use the circumferenc formula of a circle:
c = circumference
d = diameter = 5
π = pi
c = π * d
we replace with the known values
c = 5 * π
c = 5π
The circumference of the circle is 5π
Z divided by eight minus 9
All you need to do is replace the variables with the numbers given.
t=9 & u=11
3+ 11t - 9u
3+ 11(9)-9(11)
3+ 99 - 99
The 99's cancel each other out, so you are left with 3.
The answer is 3.
You need to represent the number of males in terms of females.
Explanation:
Since you know the number of males relative to females, it makes sense to represent the number of females as a variable, let's say f.
So then the number of males is <span>f+240</span> and we know that the number of males plus the number of females is 2500. Knowing this, we can write an equation: <span>f+<span>(f+240)</span>=2500</span>. I put the number of males in brackets there just to make it easy to recognize.
This equation can be condensed into <span>2f+240=2500</span> and then solved:
<span>2f=2500−240</span>
<span>f=<span><span>2500−240</span>2</span></span>
<span>f=1130</span>
Then, we know the number of females, and we can solve for the number of males from here using our male formula: <span>males=f+240</span>. You should then get 1370 as the number of males.
Checking this answer, we see that 1130 + 1370 does equal 2500.
