11=y/6
---
hope it helps
sorry, I didn't know how to explain it
Answer:
A) ERROR
B) ∠C = 26°
Step-by-step explanation:
Houston, We have a problem!!! too much information
If we had a legit triangle, the law of sines would hold
19/sin138 = 8/sin20
28.395 = 23.390
as this is NOT an equality, the triangle does not exist as described.
IF it did, we'd get different results depending on which set we used
∠F = 180 - 138 - 20 = 22°
Law of sines
19/sin138 = DE/sin22 ⇒ DE = 19sin22/sin138 = <u>10.63697...</u>
or
8/sin20 = DE/sin22 ⇒ DE = 8sin22/sin20 = <u>8.762211...</u>
If we attempt to use Law of cosines
DE² = 19² + 8² - 2(19)(8)cos22 = <u>11.9639...</u>
so really none is correct because we attempt to use trig calculations to a non-triangle.
12) AC² = 15² + 19² - 2(15)(19)cos120
AC = 29.51270...
29.51270 / sin120 = 15/sinC
C = arcsin(15sin120/29.51270) = 26.1142... <u>26°</u>
I conclude that the sum will be even because any even number can be represented by 2n where n is a whole number
and even numbers are 2 apart, so
the sum of the first 15 are
2n+2(n+1)+2(n+2) etc until we get to 2(n+14)
we can undistribute the 2 from all of them and get
2(n+n+1+n+2...n+14)
and we are sure that whatever is in the parenthasees is a whole number because whole+whole=whole
therefor, the sum is even
if you did want to find the sum then
an=2n
the 15th even number is 30
the first is 2
S15=15(2+30)/2=15(32)/2=15(16)=240
which is even
Answer:
w = x = 36
Step-by-step explanation:
In the largest triangle, the longest side is x
The shortest side = 18
In the smaller triangle the longest side is 6
The shortest side is 3
You can set up a ratio
x/18 = 6/3 Divide the right side by 3
x/18 = 2 Multiply both sides by 18
18 *x / 18 = 2 * 18
x = 36
Answer:
The result of the integral is 81π
Step-by-step explanation:
We can use Stoke's Theorem to evaluate the given integral, thus we can write first the theorem:
Finding the curl of F.
Given 
we have:
Working with the determinant we get
Working with the partial derivatives
Integrating using Stokes' Theorem
Now that we have the curl we can proceed integrating
where the normal to the circle is just 
since the normal is perpendicular to it, so we get
Only the z-component will not be 0 after that dot product we get
Since the circle is at z = 3 we can just write
Thus the integral represents the area of a circle, the given circle 
has a radius r = 3, so its area is 
, so we get
Thus the result of the integral is 81π
