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
(original price) -0.30*(original price) = $41.30
(original price)*0.7 = $41.30
(original price) = $41.30/0.70 = $59.00
The coat's original price was $59.00.
The answere should be 7.16
Answer/Step-by-step explanation:
Given:
m<A = 115,
m<B = 78,
m<C = 35,
✔️m<1 = 180 - m<A (angles on a straight line/supplementary angles)
m<1 = 180 - 115 (substitution)
m<1 = 65°
✔️m<2 + m<1 + m<B = 180° (sum of interior angles of a triangle)
m<2 + 65 + 78 = 180
m<2 + 143 = 180
m<2 = 180 - 143 (substitution property of equality)
m<2 = 37°
✔️m<3 = 180° - m<B (supplementary angles)
m<3 = 180 - 78
m<3 = 102°
Try to get it into form
(ax+b)(cx+d)
a,b,c,d can be negative or positive
3x^2+7x+2
2 and 7 are positive so b and d will be positive as well
3 is prime so we have to have
(3x+?)(1x+?)
2 is also prime
try
(3x+2)(1x+1), expanded it is 3x^2+5x+2, nope
(3x+1)(x+2), expanded is 3x^2+7x+2, yep
mostly a trial and error sort of thing
after some practice, it might get easier for you to see
