1 year ago

Which figures will have a volume that is greater than 100 cubic units? Select two options.

Mathematics

1 answer:

igor_vitrenko [27]1 year ago

5 0

Answer:

B and D

Step-by-step explanation:

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The first term of an AP is 2 and the

yanalaym [24]

Answer:

Sn = n/2[2a + (n-1)d]

n=11

a=2

d=3

Sn= 11/2[2(2) + (11-1)3]

Sn= 11/2(34)

Sn = 11x17

=187.

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2 years ago

Find+the+positive+value+for+α+if+the+radius+of+the+circle+3x^2+3y-6αx+12y-3α=0+is+4

Alik [6]

Answer:

$\alpha=3$

Step-by-step explanation:

<u>Equation of a Circle</u>

A circle of radius r and centered on the point (h,k) can be expressed by the equation

$(x-h)^2+(y-k)^2=r^2$

We are given the equation of a circle as

$3x^2+3y^2-6\alpha x+12y-3\alpha=0$

Note we have corrected it by adding the square to the y. Simplify by 3

$x^2+y^2-2\alpha x+4y-\alpha=0$

Complete squares and rearrange:

$x^2-2\alpha x+y^2+4y=\alpha$

$x^2-2\alpha x+\alpha^2+y^2+4y+4=\alpha+\alpha^2+4$

$(x-\alpha)^2+(y+2)^2=r^2$

We can see that, if r=4, then

$\alpha+\alpha^2+4=16$

Or, equivalently

$\alpha^2+\alpha-12=0$

There are two solutions for $\alpha$ :

$\alpha=-4,\ \alpha=3$

Keeping the positive solution, as required:

$\boxed{\alpha=3}$

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2 years ago

This month Salesperson A made 11% of $67,530. Salesperson B made 8% of $85,740. Who made more commission this month? How much di

laiz [17]

Answer:

Salesman A made $569.1 more commission than salesman B

Step-by-step explanation:

(11/100)*67530= (amount made by salesperson A)

=7428.3

(8/100)*85740= (amount made by salesperson B)

=6859.2

A-B= 569.1

Hope this helps :D

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3 years ago

A density graph for all of the possible times from 50 seconds to 300 seconds can be used to find which of the foll

Anarel [89]

Answer:

i m sorry

Step-by-step explanation:

i dont know

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2 years ago

Blank plus 1/2 equals 8/10

Eduardwww [97]

Answer:

8/5

Step-by-step explanation:

Hope This Helps;)

8 0

2 years ago