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Dominik [7]
3 years ago
14

In a geometric progression, the first tern is 81 and the fourth term is 24. find the common ratio​

Mathematics
2 answers:
lesantik [10]3 years ago
8 0

Step-by-step explanation:

<h2><u><em>81/24</em></u></h2><h2><u><em>= 27/8</em></u></h2>

Oliga [24]3 years ago
4 0

Hello,

Let's say a the  first term and r the ratio  of the G.P.

u_1=a=81\\u_2=a*r\\u_3=a*r^2\\u_4=a*r^3\\\\\dfrac{u_4}{u_1} =\dfrac{a*r^3}{a} =r^3=\dfrac{24}{81} =\dfrac{8}{27} \\\\r=\sqrt[3]{\dfrac{8}{27} } \\\\\boxed{r=\dfrac{2}{3}}\\

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A manufacturer made 7,234 boxes of coffee stirrers.Each box contians 1000 stirrers.How many stirrers did they make?
mash [69]
To answer this, you multiple 1000 by 7,234 because each box comes with 1000, so if there are 7234 boxes, then you multiple the stirrers by the # of boxes
6 0
3 years ago
if the current batch of pills is the first of the day and your goal is to produce a total of 600 what percentage of your goal wi
Zanzabum

Answer:

<u>12.5% ≈ 13%</u>

Step-by-step explanation:

The rest of the question is: There are 75 pills in the batch.

The current batch of pills is the first of the day and our goal is to produce a total of 600.

If there are 75 pills in the batch so percentage of goal completed will be

[(number of pills in the batch)/(Total pills)] * 100

\frac{75}{600}*100 = 12.5 \%

≈ 13% to the nearest whole number

7 0
3 years ago
What is the sum of the first 39 positive odd numbers?
liq [111]
1-39 ODD:
1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39
Now you'd add them all up.
1+3+5+7+9 = 25
11+13+15+17+19 = 75
21+23+25+27+29 = 125
31+33+35+37+39 = 175
Add the totals:
25+75+125+175
The answer would be 400.
7 0
3 years ago
Which graph shows the solution to x-2y_&gt;9
STatiana [176]

Answer:

U

Step-by-step explanation:

6 0
3 years ago
What is the measure of XYZ, given that yz and xy are tangent to ?
Marta_Voda [28]

Answer:

D) 53 Degrees.

Step-by-step explanation:

Things we need to establish beforehand: We know that Lines OZ and OX are equal because they are both radii of the circle. We can make an Iscoceles traingle by drawing a line between ZX. We know angle YZO and angle YXO is a right angle because YZ and XY are tangent to the circle. The Arc angle is the same angle as angle ZOX.

1) Find angles OZX and OXZ. these will be 26.5, because 180-127 is 53, which is the sum of the two angles. the two angles are the same, so divide 53 by 2.

2) Find Angles XZY and ZXY. We know that YZO is a right angle, and both XZY and OZX make up this right angle so XZY + OZX = 90. OZX is 26.5, so 90-26.5=XZY. XZY = ZXY, so both angles equal 63.5.

3) Now that we have two angles of triangle XYZ, we can find angle XYZ.     180-(XZY+ZXY)=XYZ, so (180-(63.5+63.5)=53. Angle XYZ=53.

6 0
3 years ago
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