Hope this is what you are looking for: x=-1 y=2 and z=1
Answer:

Step-by-step explanation:
The formula of a circumference of a circle:

<em>r</em> - radius
The formula of an area of a circle:

<em>r</em> - radius
We have C = 176cm. Substitute to the formula and calculate the radius <em>r</em>:

Calculate the area:

According to the moderator, I should take
. You can do it like that. In my opinion, my solution is correct.
Answer:
y = 1/5x + 2 1/5
Step-by-step explanation:
first find the negative reciprocal slope of 5x + y = 30 because perpendicular lines have negative reciprocal slope:
=> y = -5x + 30, negative reciprocal of the slope -5 is 1/5
substitute the new slope 1/5 and the coordinate (9, 4) into the equation: y = mx + b to solve for b
=> 4 = 1/5(9) + b
=> 4 = 9/5 + b
=> b = 2 1/5
plug in the slope 1/5 and b = 2 1/5 into the equation: y = mx + b
=> y = 1/5x + 2 1/5
<h3>
Answer: 60 teachers</h3>
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Explanation:
There are 500 female students and the ratio of boys to girls is 2:5
Multiply both parts of that ratio by 100 so that the "5" turns into "500"
The ratio 2:5 turns into 200:500 showing that for every 200 male students there are 500 female students. There are 200+500 = 700 students total.
Because of this 700 figure, we'll need to multiply both parts of the ratio 3:35 by 20 so that the 35 becomes 700.
The ratio 3:35 turns into 60:700. For every 60 teachers, there are 700 students.
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Another way to solve:
The ratio of boys to girls is 2:5 which we can write as 2/5
x = number of boys
2/5 = x/500
2*500 = 5x
1000 = 5x
5x = 1000
x = 1000/5
x = 200
There are 200 boys and 500 girls, so 200+500 = 700 total.
y = number of teachers
3/35 = y/700
3*700 = 35y
2100 = 35y
35y = 2100
y = 2100/35
y = 60
There are 60 teachers
Answer:
Hi! Here is what I have: r=10.6 and d= 21.2
Step-by-step explanation:
1: Multiply your radius by 2 so (10.6 x 2)
2: Get your answer which is 21.2 (from the calculator)
3: The first choice is the correct answer.
Hope this helps!