Answer:
The answer is 1.3, 1 3/10
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:
That will be 7
Step-by-step explanation:
Please use " ^ " to indicate exponentiation. Then: <span>f(x) = (x – 3)^2 – 1.
By comparing this equation to y-k = (x-h)^2
you can see that h=3 and k= -1. Thus, the vertex is at (3, -1).
The axis of symm. goes thru the vertex, so is x = 3.
The domain is the set of all real numbers.
Since the vertex is (3, -1), the smallest value y can take on is -1. Thus, the range is [-1, infinity)
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Probability of flipping either a head or a tail = 1/2
probability of flipping 6 tails in a row (1/2)*6
<span>probability of flipping at least 1 head = 1 - (1/2)*6 = 63/64 </span>
