Answer:
Step-by-step explanation:
The area of a circle is A = πr², where r is the radius. That means in order to solve this we have to find the value of x, which is the diameter of the lake, and then divide it in half to get the radius. To find x we will use similar triangles and proportions. x is the height of the big triangle and 4.5 is the height of the smaller triangle; 15.3 + 7.4 is the hypotenuse of the big triangle and 7.4 is the hypotenuse of the smaller triangle. Setting up our proportion:
which simplifies a bit to
and cross multiply to solve for x:
7.4x = 102.15 so
x = 13.8 That is the diameter of the lake. Divide it in half to get 6.9, the radius. Applying the area formula for a circle:
A = (3.14)(6.9)² and
A = 3.14(47.61) so
A = 149.5 which rounds to 150, Choice C
Answer:
Not similar -- shape B has been streched, these shapes are neither similar or congruent.
Step-by-step explanation:
Answer:
The property of polynomial addition that says that the sum of two polynomial is always a polynomial is called closure property of addition or under addition.
Polynomials are closed under addition because when you add polynomials the letters and their exponents do no change, you just add the coefficients of the like terms (those with same letters raised to the same exponents), so the result will be other polynomial of the same kind, except for the terms that cancel (positive with negative) which does not change the fact that the result is still a polynomial.
In mathematics the closure property means that the result of an operation over a kind of "number" will result in a "number" of the same kind.
4 divided by 6 times 5 equals 3.333
Answer:
59.52 days
Step-by-step explanation:
So this is a simple problem we can solve easily
If it takes 3 days to read 50 pages then obviously his rate of reading is 50 pages per day
If we divide 992 by 50, then we can find how many 3 day increments it will take him
(992/50 is 19.84)
Now is we multiply 19.84 by 3, we get the total amount of days which is 59.52
I hope I helped and have a wonderful day!
