Answer:
1. R = 10 in C = 62.8 in
2. R = 13 ft C = 81.64 ft
3. D = 32 yards C = 100.48 yards
4. D = 24 cm C = 75.36 cm
5. D = 16 mm C = 50.24 mm
6. R = 7 in C = 43.96 in
7. R = 9 ft C = 56.52 ft
8. R = 20 yards C = 125.6 yards
9. D = 6 cm C = 18.84 cm
Step-by-step explanation:
Radius = R Diameter = D Circumference = C pi = 3.14
R = D / 2
D = R x 2
C = 2 x pi x R or D x pi
I basically plugged in all the values into the formulas I gave above. If you need more help feel free to ask.
Hope it helps! (:
13 1/3
because you can simplify 4/12 To 1/3.
Answers:
- C) x = plus/minus 11
- B) No real solutions
- C) Two solutions
- A) One solution
- The value <u> 18 </u> goes in the first blank. The value <u> 17 </u> goes in the second blank.
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Explanations:
- Note how (11)^2 = (11)*(11) = 121 and also (-11)^2 = (-11)*(-11) = 121. The two negatives multiply to a positive. So that's why the solution is x = plus/minus 11. The plus minus breaks down into the two equations x = 11 or x = -11.
- There are no real solutions here because the left hand side can never be negative, no matter what real number you pick for x. As mentioned in problem 1, squaring -11 leads to a positive number 121. The same idea applies here as well.
- The two solutions are x = 0 and x = -2. We set each factor equal to zero through the zero product property. Then we solve each equation for x. The x+2 = 0 leads to x = -2.
- We use the zero product property here as well. We have a repeated factor, so we're only solving one equation and that is x-3 = 0 which leads to x = 3. The only root is x = 3.
- Apply the FOIL rule on (x+1)(x+17) to end up with x^2+17x+1x+17 which simplifies fully to x^2+18x+17. The middle x coefficient is 18, while the constant term is 17.
Step-by-step explanation:
An equivalent fraction can be found by either multiplying the numerator and denominator by the same number or dividing the numerator and the denominator by the same number.
