Answer:
h= 4.6, c=7.1
Step-by-step explanation:
First you need to know in a 30 60 90 triangle the sides ratios are x, 2x and x√3, and for 45 90 45 it is x, x and x√2
so <em>h</em> is 8/√3 and you rationalize the bottom so it becomes 8√3/3. when you solve this and round to nearest hundred it becomes 4.6. for the second one, it is 5√2 and when you solve this and round, it becomes 7.1
To find the circumference of this circle, you need to use the formula C=2(3.14)r
which means circumference=2 times pi times the radius so, you would multiply 2.8(the radius of your circle) times 2. Then you would multiply that times 3.14(pi rounded to the nearest hundredth). And there u go. U have ur answer.
C=2(2.8)(3.14)
C= 5.6(3.14)
C=17.584
C=17.58 feet
X over 49.5 and 20 over 100 then you cross multiply and you get 100x is equal to 990 you divide 100x and 990 both by 100 and get x and 9.9 then you have 50 seniors a month that you give the discount to so you multiply 9.9 by 50 and get 495 so the total discount you give on an average monthly basis is $495.00 Hope this helped
Since the largest size of one of the dimensions is 10.5, it has to correspond with the long side of the card, the 5 in. side. To find the proportion of the sides, divide 10.5 by 5. Then, multiply the other side of the card by the quotient.
10.5/5 = 2.1
2.1 * 2 = 4.2
4.2in is the shorter side. Your question asks to round to the nearest tenths, the smallest place value of the answer is already the tenths place.