Answer:
<x = 20°
Step-by-step explanation:
<x = 1/2(arc UT - arc SV)
<x = 1/2(65° - 25°)
<x = 1/2 (40°)
<x = 20°
The snowman is made of 3 spheres (balls) of snow. The diameters, from top to bottom, are 12, 16, 18 inches
Therefore, the radii of the 3 spheres are, respectively, 6, 8, and 9 inches.
The volume of a sphere of radius, r, is given by the formula: V = 4/3 π r3
So, the total volume of snow is the sum of the 3 volumes: V = 4/3 π (63 + 83 + 93)
= 4/3 π (1,457)
=6,099.97
Your answer would be D. 6,099.97
I hope this helps!
Answer:
Distance between bottom of the wall and bottom of the ladder = 7 ft
Length of the ladder = 19 ft
Let the distance between the ground and top of the ladder be x
Using Pythagoras theorem,
x^2 + 7^2 = 19^2
x^2 + 49 = 361
x^2 = 312
Therefore x = √312 = 2√78 ft
Answer:
y=42
Step-by-step explanation:
GJ is equal to LG which means that the ratio of them is 15:20 because HG=ML. This means that the equation is y+3=45. You want to isolate y by subtracting 3 from both sides. y=42.
Therefore, y=42.
If this helps please mark as brainliest
Answer: The coordinates of point C after the dilation are (-2, 5)
Step-by-step explanation:
I guess that you want to find where the point C ends after the dilation.
Ok, if we have a point (x, y) and we do a dilation with a scale A around the point (a,b), then the dilated point will be:
(a + A*(x - a), b + A*(y - b))
In this case we have:
(a,b) = (2,1) and A = 3.
And the coordinates of point C, before being dilated, are: (1, 2)
Then the new location of the point C will be:
C' = (1 + 3*(1 - 2), 2 + 3*(2 - 1)) = (1 -3, 2 + 3) = (-2, 5)
