60% of 300 = 300 / 100 = 3 x 60 = 180. He gave 180 cards to his brother.
In 30-60-90 triangle there is a rule that leg opposite to 30 degree angle is 2x shorter than hypotenuse. That means that shorter leg is 10 feet long.
longer leg we can calculate using Pythagoras theorem.
20^2 = 10^2 + x^2
x^2 = 300
x = √300 = 10√3
Answer:
? = 32.20422
Step-by-step explanation:
We know the adjacent side and the hypotenuse
cos ? = adj / hyp
cos ? = 33/39
cos ? = 11/13
Taking the inverse cos of each side
cos ^ -1( cos ?) = cos^-1(11/13)
? = 32.20422
Answer:
65
Step-by-step explanation:
So a number (let's call that x) plus -43 is 22. In an equation:
To find the number, add 43 to both sides. The left cancels:
And we're done!
WhenWhen we divide 8x⁴ - 6x³ + 2 by 2x² + 3 The result obtained is 4x² - 3x - 6 remainder 9x + 20
<h3>What is quotient?</h3>
Quotient is the result obtained when division operation is carried out.
For example when 6 is divided by 2, the result obtained is 3. Thus, the quotient is 3
<h3>How to divide 8x⁴ - 6x³ + 2 by 2x² + 3 </h3>
To divide 8x⁴ - 6x³ + 2 by 2x² + 3, we shall apply the long division method. This is illustrated below:
<u> </u><u> </u><u>4</u><u>x² </u><u>-</u><u> </u><u>3</u><u>x</u><u> </u><u>-</u><u> </u><u>6</u><u> </u>
<u>2x² + 3 </u>| 8x⁴ - 6x³ + 2
<u> -(8x⁴ + 12x²)</u>
-6x³ - 12x² + 2
<u> -(-6x³ - 9x) </u>
-12x² + 9x + 2
<u>-(-12x² - 18)</u>
9x + 20
Thus, the result obtained when we divide 8x⁴ - 6x³ + 2 by 2x² + 3 is 4x² - 3x - 6 remainder 9x + 20
Learn more about quotient:
brainly.com/question/9197434
#SPJ1