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dalvyx [7]
2 years ago
8

8x-10≤30

Mathematics
1 answer:
Phoenix [80]2 years ago
8 0

Answer:

x\leq5

Step-by-step explanation:

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If the radius of circle O is 10 inches and m∠UON=90∘, what is the area of sector URN⌢?
arsen [322]

Answer:

  75π in²

Step-by-step explanation:

The shaded sector is 3/4 of the circle. We can use the area formula for a circle to find the area of the whole circle, then multiply that result by 3/4.

  A = πr² = π(10 in)² = 100π in²

Then the area of 3/4 of the circle is ...

  3/4·A = (3/4)·100π in² = 75π in²

6 0
3 years ago
Given the data points, (x, y) of a linear function: (2, 11), (4, 10), (6, 9), (12, 6), what is the function? What is the slope?
NeX [460]

Answer:

The function is y~=~12 ~-~ 0.5 \cdot x.

The slope is m=-0.5.

The y-intercept is b=12.

Step-by-step explanation:

Our aim is to calculate the values <em>m</em> (slope) and <em>b</em> (y-intercept) in the equation of a line :

y=mx+b

We have the following data:

\begin{array}{c|cccc}x&2&4&6&12\\y&11&10&9&6\end{array}

To find the line of best fit for the points given, you must:

Step 1: Find X\cdot Yand X\cdot X as it was done in the table below.

Step 2: Find the sum of every column:

\sum{X} = 24 ~,~ \sum{Y} = 36 ~,~ \sum{X \cdot Y} = 188 ~,~ \sum{X^2} = 200

Step 3: Use the following equations to find <em>b</em> and <em>m</em>:

\begin{aligned}        b &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} =             \frac{ 36 \cdot 200 - 24 \cdot 188}{ 4 \cdot 200 - 24^2} \approx 12 \\ \\m &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}        = \frac{ 4 \cdot 188 - 24 \cdot 36 }{ 4 \cdot 200 - \left( 24 \right)^2} \approx -0.5\end{aligned}

Step 4: Assemble the equation of a line

\begin{aligned} y~&=~b ~+~ m \cdot x \\y~&=~12 ~-~ 0.5 \cdot x\end{aligned}

The graph of the regression line is:

5 0
3 years ago
Douglas will paint two walls in his living room. One wall is 15 feet long, and the other wall is 132 feet long. Each
Stells [14]

Answer:

1470 square feet

Step-by-step explanation:

15x10 =150

132×10=1320

total =1479

8 0
2 years ago
CAN SOMEONE PLEASE HELP ME The expression (y – 9)2 is equivalent to which expression. Simplify and write in standard form. Show
hammer [34]

Answer:

yes

Step-by-step explanation:

7 0
3 years ago
15 out of 25 perfer skittles to M&amp;MS. what percent of students prefer skittles ​
likoan [24]

Answer:

60%

Step-by-step explanation:

Just divide 15 by 25 and then move the decimal point 2 places to the right. Then turn that number into a percentage.

6 0
3 years ago
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