Answer: one dollar and 56 cents
Step-by-step explanation:
11 cents= one peny is one cent
6 dimes= 60 cents, one dime is 10 cents
3 qurters= 75 cents, one quaters is 25 cents
2 nicales= 10 cents, one nicale is 5 cents
one dollar is 100 cents
Answer:
Step-by-step explanation:
You can create a right triangle out of this information and then use right triangle trig to solve.
We are given the height of the triangle as the height of the tower which is 150m.
We are given the angle of inclination as the degree the tower makes with the ground which is 72.
From the angle of 72 degrees, which is also known as the reference angle, we have the side across from it (the height) and we are looking for the side adjacent to it (how far from the base of the tower the keys will land). Side opposite the reference angle over side adjacent to the reference angle is the tangent ratio:
and, solving for x,

Make sure your calculator is in degree mode to solve this. Divide 150 by the tan(72) and find that
x = 48.7 m
When dealing with radicals and exponents, one must realize that fractional exponents deals directly with radicals. In that sense, sqrt(x) = x^1/2
Now, how to go about doing this:
In a fractional exponent, the numerator represents the actual exponent of the number. So, for x^2/3, the x is being squared.
For the denominator, that deals with the radical. The index, to be exact. The index describes what KIND of radical (or root) is being taken: square, cube, fourth, fifth, and so on. So, for our example x^2/3, x is squared, and that quantity is under a cube root (or a radical with a 3). Here are some more examples to help you understand a bit more:
x^6/5 = Fifth root of x^6
x^3/1 = x^3
^^^Exponential fractions still follow the same rules of simplifying, so...
x^2/4 = x^1/2 = sqrt(x)
Hope this helps!
Correct Answer:
Option 3: <span>The quadratic function has two distinct real zeros.
The function is quadratic, therefore it can have only 2 zeros. The knowledge of x-intercepts is needed to determine the zeros, y-intercepts has nothing to do with the zeros of a function. The given function has 2 unique x-intercepts, so according to the fundamental theorem of algebra, this function has 2 distinct real roots as number of distinct real roots are equal to the number of x-intercepts. Therefore, option 3 is the correct answer. </span>
21 is 84% of
25Convert the percentage (84) into a decimal by dividing it over 100:

Divide 21 over 0.84: