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Anastaziya [24]
3 years ago
12

What is the common ratio in the sequence 6,12,24,48,96 A -2 B 2 C 6 D 1/2

Mathematics
1 answer:
anyanavicka [17]3 years ago
3 0

The ratio is that of one term to the one before:

... 12/6 = 2

It is "common" because it applies to every pair of adjacent terms:

... 24/12 = 48/24 = 96/48 = 2

The appropriate choice is ...

... B 2

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4 years ago
Joe must choose a number between 67 and 113 that is a multiple of 3 , 5, 6 write all numbers that he could choose
irinina [24]

Answer:

The only number he could choose is 90

Step-by-step explanation:

Simply put, we want to find the numbers between 67 and 113 which are multiples of 3,5 and 6.

Kindly note that, the numbers we will be choosing will be multiples of the three numbers at the same time.

Multiples of 3 here are;

72 , 75 , 78 , 81 , 84 , 87 , 90 , 93 , 96 , 99 , 102 , 105 , 108 , 111

Multiples of 6 here are

72, 78 , 84 , 90 , 96 , 102 , 108

Multiples of 5 here are

70, 75 , 80 , 85 , 90 , 95 , 100 , 105 , 110

So therefore, the only number that works here is the number 90

8 0
3 years ago
1. A single scoop ice cream cone is made up of a cone filled with ice cream and a half
tatiyna

Answer:

2.515

Step-by-step explanation:

1. First you add the equation for a cone and a half sphere

(1/3*pi*r^2*h)+(1/2*4/3*pi*r^3)

2. You replace h with 2*r2 because height is 2*Diameter

(1/3*pi*r^2*r2)+(1/2*4/3*pi*r^3)

3. You make the equation equal 100

(1/3*pi*r^2*r2)+(1/2*4/3*pi*r^3)=100

4. Solve for

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Step-by-step explanation:

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3 years ago
A line m is perpendicular to an angle bisector of ∠A. The sides of ∠A intersect this line m at points M and N. Prove that △AMN i
Ray Of Light [21]

Answer:


Step-by-step explanation:

<em><u>Given</u></em><u>:</u>       A line m is perpendicular to the angle bisector of ∠A. We call this  

                 intersecting point as D. Hence, in figure ∠ADM=∠ADN =90°.

                 AD is angle bisector of ∠A. Hence, ∠MAD=∠NAD.

<u><em>To Prove</em></u>:   <em><u>ΔAMN is an isosceles triangle. i.e any two sides in ΔAMN are</u></em>

<em>                    </em><em><u>equal. </u></em>

<em><u>Solution</u></em>:  Now, In ΔADM and ΔADN

                 ∠MAD=∠NAD     ...(1) (∵Given)

                  AD=AD                ...(2) (∵common side)

                  ∠ADM=∠ADN     ...(3) (∵Given)

                  <u><em> Hence, from equation (1),(2),(3) ΔADM ≅ ΔADN</em></u>

                                                         ( ∵ ASA  congruence rule)

                  ⇒<u><em> AM=AN</em></u>

                  Now, In Δ AMN

                 AM=AN (∵ Proved)

                  Hence, ΔAMN is an isosceles  triangle.


7 0
3 years ago
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