<h3>
Answer: 35</h3>
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Explanation:
To start off, we'll find the circumference of the full circle. We'll ignore the black and yellow sectors.
C = 2*pi*r
C = 2*pi*7
C = 14pi
This is the exact distance around the full circle in terms of pi
However, we don't want the the full circular perimeter. Instead, we only want the portions that are along the black sectors. The yellow sectors have central angle 24 degrees each. This takes up 3*24 = 72 degrees overall because the three regions have equal area and equal central angle.
Subtract that from 360:
360-72 = 288
The yellow regions take up 72 degrees while the remaining black sectors take up a combined 288 degrees.
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Why is 288 useful? Because it helps set up the fraction 288/360 to represent the portion of the perimeter that we care about.
(288/360)*14pi = 35.1858 mm approximately
This rounds to 35 mm
For a 45-45-90 triangle if the sides rae x then the the hytponuse is x√2
(x is the missing side)
5. 10=x√2
10/√2=x
rationalize denom, times top and bottom by √2
10√2/2=x
5√2=x=XY
6. 12√2=YZ
7.
7√2=XZ
8.
7*2=14=XZ
for 30-60-90
the side oposite the 30 deg is x
side oposite 60 is x√3
side oposite right angle is 2x
hyptonuse is oposite right angle
20=2x
10=x=shorter leg
shorter leg is 10 units
the hyptonuse
Answer:
4 sqrt(2)
Step-by-step explanation:
radical 50 - radical 2
I rewrite in terms of sqrt (means the same thing)
sqrt(50) - sqrt(2)
sqrt(25*2) - sqrt(2)
We know that sqrt (ab) = sqrt(a) sqrt(b)
sqrt(25)sqrt(2) - sqrt(2)
5sqrt(2) - sqrt(2)
Factor out the sqrt(2)
sqrt(2) (5-1)
4 sqrt(2)
Sum of two sides of triangle always greater than third side, so third side (x) could be:
14 < x < 32
x + 7/8 = 4
subtract 7/8 from each side
x = 4 - 7/8
borrow from the 4
x =3 8/8 - 7/8
x = 3 1/8
Choice C
