Answer:
Step-by-step explanation:
the ratio is 5:3:2
therefore, Ali receives 5x, Ben receives 3x and Carl receives 2x
Ben receives 60 $
so,
3x = 60
x = 60/3 = 20
Ali's share = 5x = 5*20
Ben's share = 60$
Carl's share = 2x = 2*20
therefore, Ali receives 100$, Ben receives 60$ and Carl receives 40$
so, the total money shared is 60$ + 40$ + 100$ = 200$
Answer:
We get the final answer of -4x + 6
Step-by-step explanation:
Let's simplify step-by-step.
2x −3(2x−2)
Distribute:
= 2x+ (−3)(2x) + (−3)(−2)
= 2x+ −6x + 6
Combine Like Terms:
= 2x + −6x + 6
= (2x + −6x) + (6)
= -4x + 6
Answer:
Option (1). 85°
Step-by-step explanation:
From the figure attached,
'l' and 'm' are the parallel lines and line 'n' is a transverse.
Since, m∠9 ≅ m∠13 [These angles are the corresponding angles]
Therefore, m∠13 = 95°
Since, m∠13 + m∠14 = 180° [Supplementary angles]
Therefore, 95° + m∠14 = 180°
m∠14 = 180° - 95°
m∠14 = 85°
Therefore, 85° will be the measure of angle 14.
Option (1) will be the answer.
The rectangle would hold more batter.
Rectangle would hold 234 inches cubed
Two round would be 201 inches cubed
Part a:
The opening of the cup is the circular base of the cup which has a circumference equal to the length of the arc formed by angle <span>θ = 9π/5 on the circular piece of paper from which the cone was made.
Thus, the circumference of the circle = Length of the arc formed by angle </span>θ = 9π/5 at the center which is given by
Part b:
The opening of the cup is the circular base of the cup which has a circumference equal to the length of the arc formed by angle <span>θ = 9π/5 on the circular piece of paper from which the cone was made.
</span>Recall that the circumference of a circle is given by
and having obtained from part a that the circumference of the circular opening is
cm.
Thus,
Part c:
The height of the cup can be obtained by noticing that the radius, height and the slant height of the cup forms a right triangle with the height and the radius as the legs and the slant height as the hypothenus.
Using pythagoras theorem, the height of the cup is obtained as follows:
where: h is the height, r is the radius and l is the slant height.
Part d
Recall that the volume of a cone is given by
Thus, the volume of the cup is given by