Answer:
<u>Answer</u><u>:</u><u> </u><u>D</u>
• first factorise out 10:
• then find factors of the quadratic equation in the bracket:
Please solve question 6, doing surds
1 answer:
See the attached diagram, it has all the information you need.
(a) If the green radii are all 1, then the orange diameters are all 2 + √2, so that the orange radii are (2 + √2)/2 = 1 + √2/2.
This is because we can join the radii of two adjacent green circles to form the sides of a square with side length equal to twice the radius - i.e. the diameter - of the green circles. The diagonal of any square occurs in a ratio to the side length of √2 to 1. Then we get the diameter of an orange circle by summing this diagonal length and two green radii, and hence the radius by dividing this by 2.
(b) We get the blue diameter in the same way. It has length (2 + √2) (1 + √2/2) = 3 + 2√2, so that the blue radius is (3 + 2√2)/2 = 3/2 + √2.
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Answer:
1.5 as decimal, 1 1/2 as a fraction
Step-by-step explanation:
1. convert 2 5/6 & (-1 4/12) to a improper fraction.
17/6 and -16/12
2. multiply 17/6 by 2 to match -16/12's denominator
17/6 * 2 = 34/12
We now have
34/12 + -16/12
A positive number plus a negative number is the same thing as subtraction so we remove the negative sign and replace the plus with a minus sign.
We have:
Now solve. 34-16 = 18
our answer is 18/12