Area depends on the product of sides,
so if the sides are shortened by a factor of 2, area will reduce by a factor of 4. (2×2)
new area = 10/4=2.5 cm²
Answer:
Step-by-step explanation:
The arcs LY, KM, KL and MJ together form the full revolution angle, thus
Note that
then
So,
Also
so
In triangle EML,
Thus,
Answer:
<h2>84°</h2>
Step-by-step explanation:
There are two properties we need to understand to solve this:
1. The angles of a triangle always add up to 180°
2. The angles along a straight line must add up to 180°
Let's solve!
Notice that the bottom angle is 134°, but we want to know the other angle. Since they add up to 180°` (because this is a straight line) we will subtract 134 from 180, to get an answer of 46°.
To solve the next angle we will do the same process:
180 - 130 = 50
50°
Now that we have two angles of the triangle, we can solve for x. Remember that the three angles of the triangle add to 180°.
Adding the two angles together:
50 + 46 = 96
And subtracting them from 180:
180 - 96 = 84
The value of x is 84°
I'm always happy to help :)
Answer:
Part 1) The volume of the cylinder is
Part 2) The volume of the sphere is
Part 3) Determine <em>the difference</em> of the volumes to find the leftover space
Part 4) The volume of space in the cylinder that is not being taken up by the sphere is about
Step-by-step explanation:
step 1
Calculate the volume of the cylinder
we have
-----> the height is the diameter of the sphere
substitute the values
step 2
Calculate the volume of the sphere
we have
substitute the values
step 3
Determine the difference of the volumes to find the leftover space
therefore
The volume of space in the cylinder that is not being taken up by the sphere is about
Answer:
I can't see Mathieu's work but I will show the right steps and maybe you can find where Mathieu went wrong.
f(x)=x^2+4x+3
f(x)=(x+3)(x+1) Since 3*1=3 and 3+1=4
The x-intercepts can be found by setting y to 0 and solving for x
(in other words replace that f(x) thing with 0 and solve for x)
0=(x+3)(x+1)
Now set both factors equal to 0
x+3=0 or x+1=0
x =-3 x=-1
The x-intercepts are at (-3,0) and (-1,0)