Answer:
The length of Big Ben shadow is 252.8 feet
Step-by-step explanation:
The given parameters are;
The height of the Big Ben clocktower in London ≈ 316 feet tall
The length of the shadow Shana casts = 4-foot
The height of Shania = 5 feet
Therefore, we have, by similar triangles;
Substituting the values, gives;


The length of the shadow The Big Ben clocktower casts = The length of Big Ben shadow = 252.8 feet
Answer: Choice B

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Explanation:
We'll be using the converse of the pythagorean theorem.
If we had a triangle with sides a,b,c and
was true, then we have a right triangle. Note: c is always the longest side
For the first answer choice we have: a = 5, b = 8, c = 12
Then,

which is false. This shows that we do not have a right triangle with sides 5,8,12. This rules out choice A. Choice C is a similar story.
Choice B on the other hand works because

We have a true statement at the end, which confirms <u>choice B</u> is a right triangle.
First, to rewrite something in scientific notation, we want to move the decimal point a number of times to the right or left to end with a number between 0 and 10. In this case, we want to move the decimal point 7 times to the left to get the number 1.304. In scientific notation, this would be the same as 1.304*10^7.
I hope this helps!
Answer:
the answer should be as follows:
-2(q-3)
the closest answer would be A
Answer:
$6370
Explanation:
The simple interest formula gives us the final amount A given the principal amount P:

where r is the interest rate and t is the time interval.
Now in our case we have
P = 2800
r = 4.25/100
t = 30 years
therefore, the above formula gives

which simplifies to give

Hence, the account balance after 30 years will be $6370.