Answer:
101 meters
Step-by-step explanation:
The direct path across the stream and perpendicular to both sides of the stream is one leg of a right triangle. The 20 meter distance on the arriving side of the stream is another leg of the right triangle. The path he actually took is the hypotenuse of the right triangle.
leg 1 = 99 m
leg 2 = 20 m
hypotenuse = ?
We have a right triangle, and we know the lengths of the two legs. We need to find the length of the hypotenuse, so we can use the Pythagorean theorem.
a^2 + b^2 = c^2
99^2 + 20^2 = c^2
9801 + 400 = c^2
c^2 = 10201
c = sqrt(10201) = 101
Answer: 101 meters
Answer:
if you google (surface area of a cylinder) it lets you input the radius and height and it gives your answer
Step-by-step explanation:
5x^2+17x+6=0
(5x+2)(x+3)=0
5x+2=0 x+3=0
x=-2/5 x=-3
Cheers,Irys
Answer:
The number of distinct arrangements is <em>12600</em><em>.</em>
Step-by-step explanation:
This is a permutation type of question and therefore the number of distinguishable permutations is:
n!/(n₁! n₂! n₃! ... nₓ!)
where
- n₁, n₂, n₃ ... is the number of arrangements for each object
- n is the number of objects
- nₓ is the number of arrangements for the last object
In this case
- n₁ is the identical copies of Hamlet
- n₂ is the identical copies of Macbeth
- n₃ is the identical copies of Romeo and Juliet
- nₓ = n₄ is the one copy of Midsummer's Night Dream
Therefore,
<em>Number of distinct arrangements = 10!/(4! × 3! × 2! × 1!)</em>
<em> = </em><em>12600 ways</em>
<em />
Thus, the number of distinct arrangements is <em>12600</em><em>.</em>
angle 1+ angle 2=180 supplementary angles add up to 180
angle 2=x assign angle a variable
angle 1= 3x-38 find equation for first angle
3x+x-38=180 set both angles added together equal to 180
4x-38=180 combine like terms
4x=218 add 38 to both sides
x=54.5 divide by 4
angle 2= 54.5
angle 2= (3x54.5)-38 plug back in and solve
angle 1= 125.5
