Answer:
156.06 ft²
Step-by-step explanation:
The applicable formula for the area of the triangle is ...
Area = (1/2)bc·sin(A)
Filling in the given numbers, you have ...
Area = (1/2)(30 ft)(14 ft)·sin(48°) ≈ 156.06041335 ft²
The area of the triangle is about 156.06 square feet.
_____
Sufficient digits are provided here so that you can round to the precision you (or your computer) may desire.
Answer with explanation:
For, a Matrix A , having eigenvector 'v' has eigenvalue =2
The order of matrix is not given.
It has one eigenvalue it means it is of order , 1×1.
→A=[a]
Determinant [a-k I]=0, where k is eigenvalue of the given matrix.
It is given that,
k=2
For, k=2, the matrix [a-2 I] will become singular,that is
→ Determinant |a-2 I|=0
→I=[1]
→a=2
Let , v be the corresponding eigenvector of the given eigenvalue.
→[a-I] v=0
→[2-1] v=[0]
→[v]=[0]
→v=0
Now, corresponding eigenvector(v), when eigenvalue is 2 =0
We have to find solution of the system
→Ax=v
→[2] x=0
→[2 x] =[0]
→x=0, is one solution of the system.
Answer:
6.64 seconds
Step-by-step explanation:
Given that:
Distance between roof of the terminal and ground = 709 feet
A bucket was dropped from the roof.
To find:
The time taken by the bucket to hit the ground?
Solution:
Distance traveled, 
= 709 feet
Initial velocity of the bucket, 
= 0 feet/sec (because initially it was at rest)
Acceleration of the bucket will be equal to acceleration due to gravity i.e.
or 32.1741 
Let the time taken is 
seconds.
Formula for distance is given as:
Putting all the values:
Answer:
basic geometry and trig ratios
Step-by-step explanation:
sin 10 = 500/x
x = 500/sin 10
x = 2 879,4 m
Answer:
3/83
Step-by-step explanation:
Probability: the ways to get the desired result / all of the possible results.
To solve, plug in the values they give.
There are 6 packages of wild-caught shrimp from Honduras. (The desired result)
Now, to find all of the possible results, add the total number of packages together.
27 + 40 + 52 + 13 + 6 + 28 = 166
6/166 = 3/83
Thus, the answer is a 3/83 chance of getting a package of wild-caught shrimp came from Honduras.
