Answer:
D
Step-by-step explanation:
We require to calculate the volume (V) of the cone and sphere.
The volume of a cone is calculated as
V = 
πr²h ( r is the radius and h the height )
Here diameter = 5, hence r = 5 ÷ 2 = 2.5, thus
V = π × 2.5² × 8 ≈ 52.36 cm³
The volume of a sphere is calculated as
V = 
πr³ ( r is the radius )
Here diameter = 5, hence r = 5 ÷ 2 = 2.5, thus
V= π × 2.5³ ≈ 65.45 cm³
Since volume of the sphere is greater than the volume of the cone
Thus when the ice cream melts it will overflow → D
Answer:
Step-by-step explanation:
Hope this helps!!
All the love, Ya boi Fraser :)
The bisector splits this shape into two triangles. It is easier if we find the degrees of each triangle in this shape separately
We know that one angle of the top triangle is 65 degrees. Since another angle is congruent to the known angle we can assume that the other angle is 65 degrees as well. You can see this labeled in the image below.
The sum of all the angles of a triangle is 180 degrees. Since we know the degrees of two angles, which are both 65 degrees, we can make a formula to find the third angle:
180 = 65 + 65 + x
180 = 130 + x
50
This means that the last angle is 50 degrees
^^^We need to know this so that we can find the angle complimentary to the 50 degree angle, which will be the angle that is included in the bottom triangle
Complimentary angles are angles who's sum is 90 degrees. You can find the 50 degree angles complimentary angle by making a formula like so:
90 = 50 + x
40
Now we have the first angle of the second triangle. The second two angles can be found easily. Since the other two angles are congruent all we need to do is subtract 40 from 180 then divide the answer by 2 like so:
180 - 40 = 140
140 / 2 = 70
The other two angles are 70 degrees!
The measure of angle 2 is supplementary to one of the 70 degree angles. This means that you can find the value of angle 2 by subtracting 70 from 180
180 - 70 = 110
To find x set the equation equal to 110 and solve
110 = x + 120
x = -10
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
x = 11, y = 17
Step-by-step explanation:
Note that
9x - 4 = 8x + 7 ( vertical angles )
Subtract 8x from both sides
x - 4 = 7 ( add 4 to both sides )
x = 11
and
7y - 34 = 5y ( vertical angles )
Subtract 5y from both sides )
2y - 34 = 0 ( add 34 to both sides )
2y = 34 ( divide both sides by 2 )
y = 17
Answer:
Option C
Step-by-step explanation:
If angle w is 112, angle x has to also be 112
so 112+112=224
all of the angles summed up has to 360, so you subtract 360-224
which equals 136
then divide by 2 and you get 68
Hopefully this makes sense
