<h3>
Answer: 72.54</h3>
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Explanation:
We set up a cosine ratio, since we want to connect the adjacent and hypotenuse. Then we'll use the inverse cosine, which is also known as arccosine, to isolate the angle value.
This is what your steps could look like:
cos(angle) = adjacent/hypotenuse
cos(L) = LM/LN
cos(L) = 18/60
cos(L) = 0.3
L = arccos(0.3)
L = 72.542396876278 which is approximate
L = 72.54 degrees approximately
Make sure your calculator is in degree mode.
On order to change B to C, you have to bring B 3 units to the right and then 4 units down.
Answer:
To graph this line, move one of the points to positive three on the horizontal (side to side) line and negative six on the vertical (up and down) line. To get a slope of negative 1/2 you move down one point and right two points, and you continue until you reach the edge of the graph. Then you do the opposite on the way up (up one and left two).
Hope this helps!
Answer:
1/18
Step-by-step explanation:
there are 12 marbles in the bag
P(choose red) = 2/12 = 1/6
P(choose blue after replacement) = 4/12 = 1/3
P(choose red, then blue with replacement) = (1/6)(1/3) = 1/18
Formula for the volume of cone is 
Where r= radius of the cone
h = height of the cone
The value of pi is 3.14
Given volume of larger cone is 131 cm^3
Volume of larger cone =
131 = 
Solve for h
131 = 26.1667 *h
So h= 5 cm
The height of bigger cone = 5cm
Now we find the volume of smaller cone
Two cones similar so the sides are in proportional
Height of smaller cone = 2cm
volume of smaller cone = 
= 8.38cm^3
