Answer:
27π cm²
Step-by-step explanation:
step 1
Find the area of the complete circle
The area of the circle is equal to
A=πr²
we have
r=9 cm
substitute
A=π(9)²=81π cm²
step 2
Remember that the area of complete circle subtends a central angle of 360°
so
using proportion
Find the area of a sector formed by a central angle that measures 120°
81π/360°=x/120°
x=120°*81π/360°
x=27π cm²
a) For 900 units of currency X, at an exchange rate of y = 1.05x, you could get <u>945 of currency Y.</u>
b) The inverse function is x is <u>0.9524y</u> and it represents the conversion of units of currency Y to units of currency X.
c) For 46 units of currency Y, at the exchange rate of x = 0.9524y, you could get <u>43.81 of currency X</u>.
<h3>What is an exchange rate?</h3>
An exchange rate is a value that a currency has with another.
The exchange rate shows the proportion or ratio at which two currencies are exchanged.
<h3>Data and Calculations:</h3>
The exchange rate of X (x) to Y 9y) is y = 1.05x.
For 900 units of currency X, you could get 945 of currency Y (1.05 x 900)
The inverse function is x = 0.9524y (900/945)y
For 46 units of currency Y, you could get = 43.81 of currency X (0.9524 x 46).
Learn more about exchange rates at brainly.com/question/4711402
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In order to subtract mixed fractions, we must convert them into improper fractions first. To do this simply multiply the whole number by the denominator and add the numerator. The product of this operation will be the new numerator (the whole number is no longer present).
(56 + 7)/8 - (12 + 1)/4
= 63/8 - 13/4
Now that we have our fractions in improper form, we must find the least common denominator which is 8. To avoid changing the value of the second fraction, multiply both the numerator and denominator by 2 (which is essentially 2/2 which equals to 1).
63/8 - 26/8
= 37/8
Answer:
x^(5/2)
Step-by-step explanation:
√x ^ 5
We can rewrite the square root as ^1/2
x^1/2 ^5
Power to the power is multiply a^b^c = a^(b*c)
x ^(1/2*5)
x^(5/2)
36/40 is the same as 9/10.
36 goes into four, nine times. 36 / 4 = 9.
40 goes in four, ten times. 40 / 4 = 10.
If you are dividing a number by a fraction, lets say the numerator, then the same number you divided has to be divided by the denominator.
For example:
5/30
The numerator 5 goes into five, one time, because 5 / 5 = 1
You divide the same number 5, for the denominator also.
30 goes into five, six times, because 30 / 5 = 6
The simplest form of 5/30 is 1/6.
Hope this helps!
-AphmauSenpai-
