Hello from MrBillDoesMath
Answer: 6.2 feet
Discussion:
The ladder and the wall form a right triangle. The length of the ladder, 20 in this case, is the hypotenuse of the triangle. Let "x" be the distance between the foot of the ladder and the building. Then from trigonometry,
cos (@) = length of adjacent side/ hypotenuse
or in our case
cos(72) = x / 20 => (multiply both sides by 20)
20 * cos(72) = x.
Using a calculator this becomes
20 * ( .3090) = 6.18 feet (approx) or 6.2 feet , rounded to the nearest foot.
Thank you,
Mr. B
Answer:
The answer to your question is 2⁸x²⁰ y²⁴ or 256x²⁰y²⁴
Step-by-step explanation:
Data
(2x³y³)⁴ (2x²y³)⁴
To solve this problem, use the law of exponents.
1.- Use the law of Power of a power rule
(2x³y³)⁴ (2x²y³)⁴ = (2⁴x¹²y¹²) (2⁴x⁸y¹²)
2.- Use the multiplication rule
(2⁴x¹²y¹²) (2⁴x⁸y¹²) = 2⁸x²⁰ y²⁴
3.- The answer is 2⁸x²⁰y²⁴ or we can simplify more like
256x²⁰y²⁴
1. <span>In this case the two </span>equations<span> describe lines that intersect at one particular point. Clearly this point is on both lines, and therefore its coordinates (x, y) </span>will<span> satisfy the </span>equation<span> of either line. Thus the pair (x, y) is the one and only </span>solution<span> to the </span>system of equations<span>.
i don't know 2</span>
The probability of randomly getting first a red marble and then a blue marble is:
P = 0.083
<h3>
How to find the probability?</h3>
There are:
- 3 blue marbles
- 2 red marbles
- 4 yellow marbles.
For a total of 9 marbles.
The probability of getting a red marble is equal to the quotient between the number of red marbles and the total, so:
P(red) = 2/9
Then the probability of getting a blue marble is equal to the quotient between the number of blue marbles and the total, but because we already took one marble, now the total is 8.
P(blue) = 3/8
The joint probability is given by the product:
P = (2/9)*(3/8) = 0.083
If you want to learn more about probability:
brainly.com/question/25870256
#SPJ1
The Answer to your question is 532-472=2809=600