Answer:
Answer
sqrt(108)
6 sqrt(3)
10.3923
I don't know which answer you want.
Step-by-step explanation:
- Drop a perpendicular from the top angle to the base.
- The base is cut into 2 equal parts.
- Each part is 12/2 = 6
- The perpendicular, as its name implies, meets the base at 90o.
- You can use the Pythagorean Theorem to find the height.
h^2 = side^2 - (1/2 b)^2
h^2 = 12^2 - 6^2
h^2 = 144 - 36
h^2 = 108
Take the square root of both sides
h = sqrt(108)
h = sqrt(2*2 * 3 * 3 * 3)
h = 2 * 3 sqrt(3)
h = 6sqrt(3)
h = 6 * 1.7321
h = 10.3923
Linear graphs:
1, 4, and 6
Non-linear graphs:
2, 3, and 5
Explanation:
Linear graphs are straight line, non-linear graphs are not straight lines.
Yellow line- no correlation.
Blue Line- Positive
Green line- negative
Srry if wrong pls brainless
Given plane Π : f(x,y,z) = 4x+3y-z = -1
Need to find point P on Π that is closest to the origin O=(0,0,0).
Solution:
First step: check if O is on the plane Π : f(0,0,0)=0 ≠ -1 => O is not on Π
Next:
We know that the required point must lie on the normal vector <4,3,-1> passing through the origin, i.e.
P=(0,0,0)+k<4,3,-1> = (4k,3k,-k)
For P to lie on plane Π , it must satisfy
4(4k)+3(3k)-(-k)=-1
Solving for k
k=-1/26
=>
Point P is (4k,3k,-k) = (-4/26, -3/26, 1/26) = (-2/13, -3/26, 1/26)
because P is on the normal vector originating from the origin, and it satisfies the equation of plane Π
Answer: P(-2/13, -3/26, 1/26) is the point on Π closest to the origin.
Answer:
$13.77
Step-by-step explanation:
To find what one yard would cost you would take the price and divide it by the number of yards. In this case, 1 yard happens to cost $4.59. You then multiply 4.59 times 3 to get 13.77
