Okay, you will need to use the law of cosines for this problem.
The Law of Cosines states (in this case): a^2 = b^2 + c^2 - 2 * b * c * cos A, where "a" is the side opposite angle A (7 inches), and b and c are the other two sides.
Plug the numbers in and you get: 7^2 = 5^2 + 9^2 - 2 * 5 * 9 * cos A, or:
49 = 25 + 81 - 90 * cos A.
Subtract (25 + 81) from both sides to get:
-57 = -90 * cos A.
Divide by -90 on both sides:
cos A = 19/30
To find A, you do the inverse trigonometric function to get:
cos^-1 of (19/30) = A.
I don't have a calculator that can do this right now, but if you plug the left side of the above equation into it (make sure it is in degrees, not radians), you should get A.
Answer:
2.5 inches
Step-by-step explanation:
Radius is half of diameter
Answer: y= -3x + 5
Step-by-step explanation:
y2-y1 divide by x2-x1 = m
therefore you would do 8 - -4= 12 divide by -1 - 3= -4 which gives you 12 divided by -4
m= 12/-4 aka m = -3
and to find the y intercept you should use one of the point coordination to plug it into the formula y=mx+ b
use (-1,8)
8= -3(-1) + b
8= 3+b
subtract 3 from both sides
b= 5
then plug the m and the b into y=mx + b
and you get y= -3 + 5
Answer:
Step-by-step explanation:
P(red gum ball)= 6/14=3/7
6/14 can be simplified to 3/7 by dividing by 2. 6/2=3. 14/2=7.
P(red gum ball)=3/7