Answer:
0.56
Step-by-step explanation:
<u>Answer:</u>
9. x = 12
10. x = 31
<u>Step-by-step explanation:</u>
9. Corresponding angles are equal, so technically you can move that (7x - 20) to be diagonal with the (4x + 16). Along with the corresponding angle, diagonal angles are equal to each other. Therefore you can set (7x - 20) equal to (4x + 16) to find x.
7x - 20 = 4x + 16
Solve
3x - 20 = 16
3x = 36
x = 12
Therefore x is equal to 12
<u>Check:</u>
4(12) + 16
= 64
7(12) - 20
= 64
10. All angles in a triangle have to add up to 180 degrees. Therefore, you can write your equation like this:
x + 2x + 25 + 2x = 180
Combine like terms
5x + 25 = 180
Solve
5x = 155
x = 31
Therefore, x = 31.
<u>Check:</u>
31 + 2(31) + 25 + 2(31) = 180
31 + 62 + 25 + 62 = 180
180 = 180
<em>I hope this helps!!</em>
<em>- Kay :)</em>
<em />
Answer: 890.12 cm^3
Step-by-step explanation:
The formula for the volume of a cylinder is
V=628.3185307 cm^3
or simply
V=628.32 cm^3
Since, you know the radius of the hemisphere on top, you also know the radius since the height of the hemisphere is the same as it is wide.
Next, the formula for the volume of a sphere is
so the volume of a hemisphere is half of that or:
V= 261.7993878 cm^3
or simply
V=261.80 cm^3
Finally, you add both of the volumes together to get
V= 890.1179185 cm^3
or simply
V=890.12 cm^3
CD = certificate of deposit (an investment)
Interest rate, i = 10% per annum (simple interest)
Principal, P = $2000 (present value)
Period, T = 3 months = 0.25 year
Simple interest formula
Interest earned = Pit
=2000*0.10*0.25
=$50
Balance at maturity (amount that investor gets after three months)
=$2000+$50
=$2050
