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Lerok [7]
3 years ago
7

Given the inequality below: x + 2y ≥ 10

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
3 0
X+2y≥10
(x+2y)+(-10)≥10+(-10)
x+2y-10≥10-10
(x+2y-10)+(-x+10)≥-x+10
x+2y-10-x+10≥-x+10
2y≥-x+10
2y over 2 ≥ -x +10 over 2
y≥-1 over 2x + 10 over 2
y≥-1/2x+5
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Lim as x approaches 2pi/3 from the right of csc x, solve by substituting csc with sin
Zielflug [23.3K]
\bf csc(\theta)=\cfrac{1}{sin(\theta)}
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\lim\limits_{x\to \frac{2\pi }{3}^+}~csc(x)\implies \lim\limits_{x\to \frac{2\pi }{3}^+}~\cfrac{1}{sin(x)}\implies \cfrac{1}{sin\left( \frac{2\pi }{3} \right)}\implies \cfrac{1}{\frac{\sqrt{3}}{2}}\implies \cfrac{\frac{1}{1}}{\frac{\sqrt{3}}{2}}

\bf -------------------------------\\\\
\cfrac{\frac{a}{b}}{\frac{c}{{{ d}}}}\implies \cfrac{a}{b}\cdot \cfrac{{{ d}}}{c}\qquad thus\\\\
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\cfrac{1}{1}\cdot \cfrac{2}{\sqrt{3}}\implies \cfrac{1\cdot 2}{1\cdot \sqrt{3}}\implies \cfrac{2}{\sqrt{3}}
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\textit{and now, rationalizing the denominator, we get}\implies \cfrac{2\sqrt{3}}{3}
5 0
4 years ago
Find the tenth term for 81,54,36
Harman [31]
For 81 it's 8.1 in decimal or which way you need it in?
8 0
3 years ago
What is the area of the label on a soup can that is 8 inches high and has a diameter of 4 inches? Round to the nearest hundredth
olga_2 [115]

Answer:

Area of label = 100 inch² (Approx.)

Step-by-step explanation:

Given:

Height of label = 8 inches

Diameter of label = 4 inches

Find:

Area of label

Computation:

Design of label = Rectangle

So,

Width of label = 2πr

Width of label = 2(3.14)(4/2)

Width of label = 2(3.14)(2)

Width of label = 12.56 inches

Area of label = Height of label x Width of label

Area of label = 12.56 x 8

Area of label = 100.48

Area of label = 100 inch² (Approx.)

3 0
3 years ago
The county fair charges $1.25 per ticket for the rides. Spencer bought 17 tickets for the rides and spent a total of $30.75 at t
lara [203]

Answer:

y = 17x + 9.5

Step-by-step explanation:

17 * 1.25 = 21.25    therefore 30.75 - 21.25 = 9.5  = $9.50 admission   therefore y = 17x + 9.5

8 0
2 years ago
Can someone please show me how to divide 22 and 121 please and take your time explaining so that way I can understand it. Thank
Aleonysh [2.5K]

When dividing 22 into 121 , you are cosidering how many times 22 goes into 121. This is called division.

Now how do we use division to find this?

well we do 22 over 121 or 22/121

The next step is the conversion to decimal.

How do we figure this out? well we use multiplication through the remainder theorem. The way this works is we figure out how many times 121 goes into a quantity of another number so,

121 goes into 22 how many times. Well 0, thus by the reaminder theorem we will add a zero assuming that we put a decimal place so now we know the number is atleast .XX

Now we have 220, so how many times does 121 go into 220? Well 1. We can add that to our number .1XX and we subtract that from 220 and then add a zero.

220-121 is 99 plus add a zero so we now have 990. 121 goes into 990 how many times? 8 times so we know the number is .18

This process could be continued forever, but there is no need. I hope I explained this well. Explaining core concepts like this generally should be done in person with someone.

7 0
3 years ago
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