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GarryVolchara [31]
3 years ago
7

Use a factor tree to find the prime factorizations of 96. Write the prime factorizations using exponents. 1.2^3•6^2. 2.2^5•4^2.3

. 2^5•3. 4.3•5^2

Mathematics
1 answer:
dezoksy [38]3 years ago
4 0
Look\ at\ the\ picture:\\\\96=2\times2\times2\times2\times2\times3=\boxed{2^5\cdot3}\leftarrow\ answer\ \boxed{3.\ 2^5\cdot3}

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Someone please help me.
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Answer:

All

Step-by-step explanation:

The answer is 1, 2, 3

I, II, III

5 0
3 years ago
Evaluate the expression 5+2(4g-7) when g=-4
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8(-23) therefore -184
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Identify the slope of the given line.<br><br> y=x-5
laiz [17]

Answer:

m is the slope and b is the y-intercept. Therefore, for the equation y=x+5 , the slope is 1 , and the y-intercept is 5

Step-by-step explanation:

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3 years ago
Both ABC and 3D8 are three digit numbers such that ABC - 3D8 = 269. If 3D8 is divisible by 9, what number does ABC represent?
Nata [24]
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3 0
3 years ago
A sightseeing balloon is sighted simultaneously by two people on the ground, 7 miles apart from each other. both people are dire
svp [43]

Answer:

about 3.9886 miles, or 21,060 ft

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds us of the relationship between sides of a right triangle and the trig functions of the angles. If the balloon height is represented by h, and the distance from the spot below the balloon to the nearest observer is x, then we know ...

tan(59°) = h/x

and

tan(23°) = h/(x+7)

If we invert the ratios, we can express these a little differently:

cot(59°) = tan(31°) = x/h

cot(23°) = tan(67°) = (x+7)/h

We can multiply both equations by h and subtract the first product from the second.

h·tan(67°) -h·tan(31°) = (x+7) -(x)

h(tan(67°) -tan(31°)) = 7

h = 7/(tan(67°) -tan(31°)) ≈ 3.988623 . . . . miles

The height of the balloon is about 3.9886 miles.

_____

Comment on this geometry

The working of this problem assumes a flat earth. The altitude is such that oxygen would be required by the "sightseers".

8 0
3 years ago
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