Answer:
x = 162
Step-by-step explanation:
the sum of the interior angles of a quadrilateral = 360°
sum the interior angles of the quadrilateral and equate to 360
90 + 60 + x + 48 = 360 , that is
198 + x = 360 ( subtract 198 from both sides )
x = 162
Answer:
-7π/3 or -420 degrees
Step-by-step explanation:
So we know that the arrow has made one full rotation and that it is moving in a clockwise direction. So already we have -2π degrees.
The arrow stops at π/6 before the next π/2 rotation. Therefore we find the difference between the two.
π/2 - π/6
3π/6 - π/6 = 2π/6
π/3
Since this is still clockwise, we make this negative. So the measure of the angle shown by the arrow is -2π - π/3
Answer:
Step-by-step explanation:
Ok, lets list the important things
- only green and white slices
- all slices same size
- spinner A has 4/5 white slices and 1/5 green slices
- spinner B has 3/12 white slices and 9/12 green slices
The 4 options are:
- spinner B lands on a green slice
- spinner A lands on a white or green slice
- spinner A lands on a white slice
- spinner B lands on a yellow slice
We already know that choice 2 is 100% probable and option 4 is 0% probability, because in option 2, the spinner A ONLY has white or green slices so the spinner must land on the slice. In option 4, no matter which spinner is spun no yellow slices are available to land on.
the chance of option 1 happening is 9/12 which is 3/4 which is 75%
the chance of option 3 of happening 4/5 which is 80%
option 1 has a 75% chance
option 2 has a 100% chance
option 3 has an 80% chance
option 4 has a 0% chance
this means that the order is:
1. option 4
2. option 3
3. option 1
4. option 2
because it is least likely to most likely.
hope this helped you out and if you need any questions feel free to ask
good luck in maths!
-cheesetoasty
Answer:
142.1π in³
Step-by-step explanation:
Given that:
The radius (r) = 7 in
The slant height (y) = 25 in
Then the height (x) can be determined by using the Pythagoras rule:
y² = x² + r²
25² = x² + 7²
125 = x² + 49
125 - 49 = x²
x² = 76
x = √76
x = 8.7
The formula for the volume of a cone is;
= 1/3 πr²h
where;
height(h) is calculated as "x" from above = 8.7
Then;
= 1/3 × π × (7 in)² × 8.7 in
= 142.1π in³
