The solution is 2sqrt77/77. You just fill in 2/3 for the x's. When you do that, you do that you get (2/3)/sqrt(9-[2/3]^2) which, simplified, is (2/3)/sqrt(9-[4/9]). Now use the common denominator under the radical of 9 to get (2/3)/sqrt([81-4]\9). Simplifying even further gives you (2/3)/([sqrt(77)]/3). Now do that division by multiplying 2/3 by the reciprocal of ([sqrt(77)]/3) to get 2/sqrt77. I rationalized the denominator to get that result up there.
6.8
= 6 + 0.8
= 6 + 8/10 (simplifying...)
= 6 + (8 : 2)/(10 : 2)
= 6 + 4/5
= 6 4/5 <----- this is the answer.
I hope this helps. =)
No, in problem 1
you said that area of triangle=bh when it should be 1/2bh
the area should be 9 not 18 so triange=9
aera of rectangle is correct
so
27+9=36 in^2 is answer
2. it is 1 rectangle 1 triangle 1 square you forgot the square
rectangle=12 times 4=48
square=4 times 4=16
triangle=1/2bh=1/2(8)4=16
add
48+16+16=80 in^2
remember that
triangle=1/2(base times height)
draw immaginary lines and split shapes, it could help to seperate shapes or/and mmove them around and regroup them
Answer: Close. Your observation is correct. When you see that the difference between two numbers in the sequence is a perfect square, you are looking at a pyramidal sequence
1² = <u>1 </u> top of pyramid
1 + 2² = <u>5</u> total in top 2 layers
1 + 2² + 3² = <u>14</u> total in top 3 layers
1 + 2² + 3² + 4² = <u>30</u> total in the top 4 layers.
1 + 2² + 3² + 4² + 5² = <u>55</u> total in the top 5 layers.
Layer 6 is 6² more, 91
Layer 7 is 7² more so, 140
I think you got it.
Step-by-step explanation: The numbers are like when you keep adding the layers in a pyramid, and the next number is the total of the previous layers plus the square of the next layer number.
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