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Maurinko [17]
3 years ago
12

I am graphing something with 29 points. I know that you have to label the points with a capital letter. However, there are only

26 letters in the English alphabet, so what do I name the remaining 3 points?​

Mathematics
1 answer:
allochka39001 [22]3 years ago
6 0

Answer:

a₁, a₂, a₃, . . .

Step-by-step explanation:

When we name something in Mathematics it is always advisable to number them as $ a_1, a_2, a_3, ...$.

Because the alphabets are only 26 in number we might run out of notations.

The simple logic behind the notion of $ a_1, a_2, a_3, ... $ is that the numbers have no end and we can number as many variables we want using this logic.

In this problem, you can continue your notation from $ a_{27}, a_{28}, a_{29} $ so that you don't have to make a change in your figure.

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Carol is standing 8 feet from a lamppost. The angle of elevation from her eyes to the top of the lamppost is 20o, and the angle
kupik [55]

Answer:

Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft

Step-by-step explanation:

The illustration form a triangle that can be demarcated into 2 right angle triangle. One triangle representing depression triangle and the other elevation triangle.

Depression triangle

The opposite side of the triangle formed is the length of the pole from the base to the horizontal line of sight. Therefore,

using tangential ratio

tan 35° = opposite/adjacent

tan 35° = a/8

cross multiply

a = 8 tan 35°

a = 8 × 0.70020753821

a = 5.60166030568

a = 5.602 ft

Elevation triangle

The opposite side of this right angle triangle represent the length from the horizontal line of sight to the top of the lamppost.

tan 20° = opposite/adjacent

tan 20° = b/8

cross multiply

b = 8 tan 20°

b = 8 × 0.36397023426

b = 2.91176187413

b = 2.912 ft

Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft

8 0
3 years ago
-5z + 9 =24 solve the equation
nataly862011 [7]

Answer:

z=-3

Step-by-step explanation:

-5z+9=24 so, subtract 9 from both sides becuase of liked terms to get -5z=15, then divide both sides by -5 to get z = -3 hope it helps:)

6 0
3 years ago
Write one number that is a factor of 13.
maw [93]

Answer: 1 and 13

Step-by-step explanation: To find the factors of 13, begin by dividing 13 by 1 which gives us 13. This tells us that 1 and 13 are factors of 13.

13 is a prime number which means it only has two factors which are 1 and 13.

3 0
3 years ago
Read 2 more answers
Given: △EDN∼△LKI, DQ , KO are altitudes, DN=12, KI=4, DQ=KO+6. Find: QN and OI.
fgiga [73]

Answer:

  • QN = 3√7
  • OI = √7

Step-by-step explanation:

The ratio of corresponding sides DN and KI is 12 : 4 = 3 : 1. The same ratio applies to altitudes DQ and KO. Since the difference between these altitudes is 6 and the difference between their ratio units is 3-1 = 2, each ratio unit must stand for 6/2 = 3 units of linear measure. That is, ...

  DQ = (3 units)·3 = 9 units

  KO = (3 units)·1 = 3 units

Then the base lengths QN and OI can be found from the Pythagorean theorem:

  KI² = KO² +OI²

  4² = 3² +OI²

  OI = √(16 -9)

  OI = √7

  QN = 3·OI = 3√7

8 0
3 years ago
CAN SOMEONE PLEASE HELP ME???
leva [86]

Answer: The answer is B

Step-by-step explanation: I got the answer right

5 0
3 years ago
Read 2 more answers
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