Answer:
D. a1=23/100, r=1/100
Step-by-step explanation:
The repeating fraction can be written as the sum ...
The first term is a1 = 0.23 = 23/100, and each successive term is shifted 2 decimal places to the right, so is multiplied by the common ratio r=1/100.
Answer:
x = 18
m = 21.2
p = 31.8
Step-by-step explanation:
The ratio of the left-side length to the bottom-side length is the same for both triangles:
x/11.2 = (x +27)/28
28x = 11.2(x +27) = 11.2x +302.4 . . . . . multiply by 11.2·28
16.8x = 302.4 . . . . . . . subtract 11.2x
x = 18 . . . . . . . . . . . . divide by 16.8
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The length of m can be found using the Pythagorean theorem. The sum of the squares of the legs is the square of the hypotenuse.
x^2 +11.2^2 = m^2
m = √(324 +125.44) = √449.44 = 21.2
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The length of p can also be found using the Pythagorean theorem. We prefer the proportion ...
p/27 = m/x
p = 27(21.2/18) = 31.8
The lengths of the unknown sides in the figure are ...
x = 18
m = 21.2
p = 31.8
Answer:
87
Step-by-step explanation:
Population standard deviation = σ = 37 grams
Confidence interval = 94%
(1-α)×100% = 94
⇒α = 0.06
From table z table and interpolation
z = 1.881
L = Confidence interval length = 15
N = Number of samples
∴ Number of turtles must she must weigh is 87
Answer:
y = 
Step-by-step explanation:
Given
ya + yv = t ← factor out y from each term on the left side
y(a + v) = t ( divide both sides by a + v )
y =
Answer: 588
Step-by-step explanation: 420 + 40% = 588
