Three lines given -- it's a natural for the cos(theta) law. A small hint: I think the preferred way of doing it is to use the cos(theta) law twice. It will give you a definite answer.
Find G first
g = 6 yd
h = 7 yd
f = 5 yards.
g^2 = h^2 + f^2 - 2*h*f*cos(G)
6^2 = 7^2 + 5^2- 2*7*5*cos(G)
36 = 49 + 25 - 70*Cos(G)
36 = 74 - 70*cos(G)
-48 = - 70 * cos(G) Divide by -70
-38/-70 = cos(G)
0.5429 = cos(G)
cos-1(0.5429) = G
G = 57.12
Now find H
h^2 = g^2 + f^2 - 2*g*f*cos(H)
7^2 = 5^2 + 6^2 - 2*5*6*cos(H)
49 = 25 + 36 - 60cos(H)
49 =61 - 60*cos(H)
Cos(H) = -12 / - 60
Cos(H) = 0.2
H = cos-1(0.2)
H = 78.46
F can be found because every triangle has 180 degrees
F + 78.46 + 57.12 = 180
F + 135.58 = 180
F = 180 - 135.58
F = 44.41
A <<<< Answer.
Add a minus sign in front of the x
I got 177.375. Hop this helps!!
Answer:
Random sample, and , so yes, both conditions were satisfied.
Step-by-step explanation:
60% of the people in a certain midwest city who are responsible for preparing the evening meal have no idea what they are going to prepare as late as 4PM in the afternoon.
This means that
A recent survey was conducted from 1000 of these individuals.
This means that
Also, a random sample, so the first condition was satisfied.
The sample size must be large (so that at least 10 or more successes and failures).
So yes, both conditions were met.
Answer:
a. Point.
b. Vertex.
c. Line.
d. Line segment.
e. Ray.
Step-by-step explanation:
a. <u>Point</u>: a location, has no dimension. Also, a point doesn't have a size i.e no length, depth, breadth or height.
b. <u>Vertex</u>: is the common endpoint of two segments or rays that form the "corner" of an angle.
c. <u>Line</u>: is an infinite number of points extending in opposite directions that has only one dimension.
d. <u>Line segment</u>: is part of a line that has two endpoints.
e. <u>Ray</u>: is part of a line that has one endpoint and continues in one direction infinitely.