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2 years ago

Use this diagram to find the required measures. 1 = 30°, 2 = 30°, 3 =

Mathematics

1 answer:

crimeas [40]2 years ago

7 0

Answer:

if thisa is a triangle then 180-30+30 = 120 degree and we say all angles on a triangle add up to 180

Then reaply the rule changing 180 to 360 on all 4 sided shapes

180(n-2) to all other shapes.

ie) pentagon 180(n-2) = 540

continue with 540-30-30 = 480 etc....

Step-by-step explanation:

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Sid is packing crushed ice into a cone-shaped cThe cone has a height of 5 in. Its base has a diameter of 4 in. What is thevolume

bagirrra123 [75]

$The\ volume\ of\ the\ cone:V=\dfrac{1}{3}\pi r^2H\\\\H=5\ in\\2r=4\ in\to r=2\ in\\\\subtitute\\\\V=\dfrac{1}{3}\pi\cdot2^2\cdot5=\dfrac{1}{3}\pi\cdot4\cdot5=\dfrac{20}{3}\pi\ (in^3)\\\\Answer:\boxed{V=\dfrac{20}{3}\pi\ in^3}$

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3 years ago

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(x+iy)^4 -(x+iy)^2 +16=0

viktelen [127]

Answer:

below

Step-by-step explanation:

that is the procedure above

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3 years ago

What is the value of the correlation coefficient r of the data set?

enyata [817]

The correct option will be: C) 0.84

Explanation

Formula for Correlation coefficient :

$r= \frac{n(\Sigma xy)-(\Sigma x)(\Sigma y)}{\sqrt{[n\Sigma x^2-(\Sigma x)^2][n\Sigma y^2-(\Sigma y)^2]}}$

First, for each point(x, y), we need to calculate x², y² and xy .

Then, we will find sum all x, y, x², y² and xy, which gives us Σx, Σy, Σx², ∑y² and Σxy

(Please refer to the attached image for the table )

Here we got, ∑x = 44 , ∑y = 183 , ∑x² = 362 , ∑y² = 6575 and ∑xy = 1480

'n' is the total number of data set, which is 7 here.

So, plugging those values into the above formula..........

$r= \frac{n(\Sigma xy)-(\Sigma x)(\Sigma y)}{\sqrt{[n\Sigma x^2-(\Sigma x)^2][n\Sigma y^2-(\Sigma y)^2]}}\\ \\ r=\frac{7(1480)-(44)(183)}{\sqrt{[7(362)-(44)^2][7(6575)-(183)^2]}}\\ \\ r=\frac{10360-8052}{\sqrt{(598)(12536)}}\\ \\ r=\frac{2308}{\sqrt{7496528}}\\ \\ r=0.84$

So, the value of the correlation coefficient is 0.84

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3 years ago

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djverab [1.8K]

C. Plumber A and Plumber B will both charge $135 if they each work 2.5 h.

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3 years ago

After taking 7 quizzes, your average is 77 out of 100. What must your average score be on the next five quizzes to increase your

Anna [14]

Answer:

89.

Step-by-step explanation:

We have been given that after taking 7 quizzes, your average is 77 out of 100. We are asked to find what average score be on the next five quizzes to increase your average to 82.

The total of 12 quizzes to get 82 would be $12\times 82=984$ .