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3 years ago

14

Find angle a from geometry cahpter 10.4 inscribed angles and polygons

1 answer:

Gelneren [198K]3 years ago

3 0

Answer:

∠ A = 42°

Step-by-step explanation:

The inscribed angle BAC is half the measure of its intercepted arc, that is

∠ A = $\frac{1}{2}$ × 84° = 42°

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Please help me with 5-7

mixer [17]

2y+12 < 42

subtract 12 from both sides to isolate the 'y'

2y<30

since '2y' is multiplication, the opposite is division. divide by 2 to isolate the 'y'. doing so will flip the < sign to make it >.

y > 15

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She makes $15 an hour. Her employers take out $125 weekly. She gets a paycheck for $205 that week.

Add the $125 back in that her employer took out and you can find how much she earned that week, it's $330. Divide $330 by $15 to find that she worked a minimum of 22 hours that week.

15h-125=205

15h=330

h=22

plug 22 in to the equation 15h-125=205 to check your answer
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I can't help you with the last one. Best of luck though man and god bless.

8 0

3 years ago

How do you solve: cos(x-π/3)=-1

gladu [14]

Answer:

x = $\frac{4\pi }{3}$

Step-by-step explanation:

given

cos(x - $\frac{\pi }{3}$ ) = - 1, then

x - $\frac{\pi }{3}$ = $cos^{-1}$ (- 1) = π

Add $\frac{\pi }{3}$ to both sides, hence

x = π + $\frac{\pi }{3}$ = $\frac{4\pi }{3}$

3 0

3 years ago

"Select the equation of the least squares line for the data: (34.0, 1.30), (32.5, 3.25), (35.0, .65), (31.0, 6.50), (30.0, 5.85)

yulyashka [42]

Answer:

$y=-1.055 x +37.643$

And the best option would be:

a. ŷ= 37.643-1.0543x

Step-by-step explanation:

We assume that the data is this one:

x: 34.0, 32.5, 35.0, 31.0, 30.0, 27.5, 29.0

y: 1.30, 3.25, 0.65, 6.50, 5.85, 8.45, 6.50

Find the least-squares line appropriate for this data.

For this case we need to calculate the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

So we can find the sums like this:

$\sum_{i=1}^n x_i = 34.0+ 32.5+ 35.0+ 31.0+ 30.0+ 27.5+ 29.0
=219$

$\sum_{i=1}^n y_i =1.3+3.25+0.65+6.5+5.85+8.45+6.5=32.5$

$\sum_{i=1}^n x^2_i = 34.0^2+ 32.5^2+ 35.0^2+ 31.0^2+ 30.0^2+ 27.5^2+ 29.0^2
=6895.5$

$\sum_{i=1}^n y^2_i =1.3^2+3.25^2+0.65^2+6.5^2+5.85^2+8.45^2+6.5^2=202.8$

$\sum_{i=1}^n x_i y_i =34*1.3 + 32.5*3.25+ 35*0.65+ 31*6.5+30*5.585 +27.5*8.45 +29*6.5=970.45$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=6895.5-\frac{219^2}{7}=43.929$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=970.45-\frac{219*32.5}{7}=-46.336$

And the slope would be:

$m=-\frac{46.336}{43.929}=-1.055$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{219}{7}=31.286$

$\bar y= \frac{\sum y_i}{n}=\frac{32.5}{7}=4.643$

And we can find the intercept using this:

$b=\bar y -m \bar x=4.643-(-1.055*31.286)=37.643$

So the line would be given by:

$y=-1.055 x +37.643$

And the best option would be:

a. ŷ= 37.643-1.0543x

5 0

4 years ago

Which expression is equivalent to -1/4x + 1/2?

Alik [6]

Answer:

C because that's the only one that works

7 0

3 years ago

Choose 1 answer <br><br> A 4/9 of 3/4 <br><br> B 4/12 of 5/12 <br><br> C 1/3 of 9/12

Vera_Pavlovna [14]

C you reduce 4/12 to 2/6 which then is 1/3

6 0

3 years ago