Answer: Perimeter is 23/8 miles
Step-by-step explanation: 7/8 can be converted into 14/16, when added to 18/16 you get 46/16 which is 23/8
The best way to five students from a list of 626 students available such that it exhibits a random process is to List each name on a separate piece of paper; place them all in a hat, and pick five.
The selection process which should be undertaken by the student government, should be one which is inclusive and representative. Hence, the five students to be selected which makes up the sample of the total student should be chosen at random and transparently.
Hence, listing the names of each student on a Seperate piece of paper, placing it in a hat and making 5 selections showcase randomness and transparency, hence, it should be the adopted selection process.
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Answer:
32.5 feet
Step-by-step explanation:
This situation forms a right triangle. We are given the distance from the base of the tower (long leg of the triangle) and are asked to find the height (short leg of the triangle).
With this information, we can use the tan ratio, opposite over adjacent, to find the height of the tower.
tan 18 = 
Multiply each side by 100:
(100) tan 18 = x
Simplify and round to the nearest tenth:
32.49 = x
32.5 = x
So, the height of the tower is approximately 32.5 feet
Any time you have a fraction within an equation, multiply the entire equation by the denominator to clear the fraction. Since the lead term is negative, we can multiply that away as well
(-14) (0=-1/14x²+4x+5) [now distribute]
0=x²-56x+70 [try to factor into binomials first]
Since 70 only has prime factors of 2·5·7, there is no combination which equals (-56). Use the quadratic formula, or complete the square. I'll use quadratic:
x=<u>-b+/-√(b²-4ac)</u>
2a
a=1, b=(-56), c=70
x= <u>-(-56)+/- √((-56)²-4(1)(70)</u>
2(1)
x= <u>56+/- √(3136-280)
</u> 2
<u />x=<u>56+/-√(2856)</u>
2
x=<u>56+/-√(2³·3·119)</u>
2
x=<u>56+/-2√(714)</u>
2
x=28+√714; x=28-√714
Andrew has 10 pens bc it's half of twenty
