Answer:
The answer is: The largest number is 15.
Step-by-step explanation:
Let n = the number
n + (n + 1) + (n + 2) + (n + 3) = (n + 4) + (n + 5) + (n + 6)
4n + 6 = 3n + 15
n = 9
Proof:
9 + 10 + 11 + 12 = 19 + 23 = 42
13 + 14 + 15 = 27 + 15 = 42
Hope this helps! Have an Awesome Day!! :-)
Answer:
Building is 56.58 feet long.
Step-by-step explanation:
Consider the provided information.
An aerial photograph from a U-2 spy plane is taken of a building suspected of housing nuclear warheads.
When the photograph is taken, the angle of elevation of the sun is 30°.
By comparing the shadow cast by the building in question to the shadows of other objects of known size in the photograph, scientists determine that the shadow of the building in question is 98 feet long.
As we know: 
The value of tan 30 degrees is 
Hence, Building is 56.58 feet long.
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Answer: Choice D
The reason why is because any time you have a dilation with a scale factor other than 1, then the resulting figure is either bigger or smaller compared to the original. If two figures of the same shape are different sizes, then they cannot be congruent. The other transformations of rotation, reflection and translation are what we call rigid transformations. They preserve the size leading to keeping the figures congruent.
Amount of money invested: P=$4,100
Interest rate percentage in decimal form: r=7.25%=7.25/100→r=0.0725
Time in years: t=8
Total money in the account at time t: A=?
A=Pe^(rt)
A=$4,100e^(0.0725*8)
A=$4,100e^0.58
A=$4,100(1.786038431)
A=$7,322.757566
A=$7,322.76
Answer: The balance in the account after 8 years is $7,322.76
