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3 years ago

10

One angle of a triangle has a measure of 3 times as large as the smallest. The measurement of the 3rd angle is 40 degrees more t

han that of the smallest..what is the measurement of the largest angle?

1 answer:

MrMuchimi3 years ago

3 0

The largest of the three angles is 84°.

Hope this helps! :)

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Answer:

Option C) 0.2358

Step-by-step explanation:

We are given the following data set:

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Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{3.39675}{6} = 0.566125$

Sum of squares of differences = 0.1122752556 + 0.008765640625 + 0.09633264063 + 0.006340140625 + 0.001123925625 + 0.05358067562 = 0.2784182787

$S.D = \sqrt{\frac{0.2784182787}{5}} = 0.2358$

Thus, the standard deviation for given data is

Option C) 0.2358

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The radius of a circular park is 120 m. To the nearest meter, what is the

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Step-by-step explanation:

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3 years ago

The sum of three numbers is 123. The third number is 4 times the first. The second number is 9 more than the first. What are the

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Answer:

Step-by-step explanation:

Let the first number = x

Let the second number = x + 9

Let the third number = 4x

Together they make 123

x + x + 9 + 4x = 123 combine the left

6x + 9 = 123 Subtract 9 from both sides

6x = 123 - 9

6x = 114 Divide by 6

x = 114/6

x = 19

=================

First number = 19

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7/12 of the punch was left; 12-5=7

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3 years ago

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Bill deposits $3,000 into an account that pays simple interest at a rate of 3% per year. How much interest will he be paid in th

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Answer:

The interest he will be paid in the first 4 years is $360

Step-by-step explanation:

The rule of the simple interest is I = Prt, where

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r is the rate in decimal

t is the time

∵ Bill deposits $3,000 into an account

∴ P = 3000

∵ The account pays simple interest at a rate of 3% per year

∴ r = 3% = 3 ÷ 100 = 0.03

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∴ t = 4

→ Substitute these values in the rule above

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