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ryzh [129]
2 years ago
8

Solve the linear inequality below.

Mathematics
1 answer:
quester [9]2 years ago
6 0

Answer:

x > 3

Step-by-step explanation:

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Convert the equation r = 12 sin theta to Cartesian coordinates. Describe the resulting curve.
VLD [36.1K]

Answer:

Step-by-step explanation:

Given that there is a polar equation as

r=12 sin \theta

This has to be converted into cartesian.

We know the conversion is

r^2 =x^2+y^2 \\tan \theta = \frac{y}{x}

Using this we can say that

sin^2 \theta = 1-cos^2 \theta \\= 1-\frac{1}{sec^2 \theta} \\=1-\frac{1}{1+tan^2 \theta} \\=1-\frac{1}{1+\frac{y^2}{x^2} } \\=1-\frac{x^2}{x^2+y^2} \\=\frac{y^2}{y^2+y^2}

\sqrt{x^2+y^2} =12(\frac{y}{\sqrt{x^2+y^2} } \\x^2+y^2 =12y\\x^2+y^2-12y+36 = 36\\x^2+(y-6)^2 = 6^2}

Circle with centre (0,6) and radius 6.

7 0
3 years ago
The sum of a number and its reciprocal is 41/20. Find the number. smaller value larger value
Natali [406]

Step-by-step explanation:

Let the number is x. Its reciprocal will be 1/x. According to given condition, we get :

x+\dfrac{1}{x}=\dfrac{41}{20}\\\\\dfrac{x^2+1}{x}=\dfrac{41}{20}\\\\20x^2+20=41x\\\\20x^2-41x+20=0

It is a quadratic equation. The values of x are :

20x^2-25x - 16x+ 20 =0\\\\5x(4x - 5) -4( 4x - 5) = 0\\\\(5x-4)(4x-5)=0\\\\5x-4=0\ \text{and}\ (4x-5)=0\\\\x=\dfrac{4}{5}\ \text{and}\ x=\dfrac{5}{4}

The smaller number is 4/5 and the larger number is 5/4.

6 0
3 years ago
Help me on my math pwease
julsineya [31]

Answer:

Part a: C

Part b: 2x34

d=68

Step-by-step explanation:

8 0
3 years ago
Given a large sample of families with three children, what percent of the families will have all boys?
Tamiku [17]
12.5 % or one eighth

3 0
3 years ago
Landon bought a camper with a sticker price of $3700. If he paid $210 a
Assoli18 [71]
The answer is B.
Because if you take 210 x 24= 5040
5040-3700=1340
8 0
3 years ago
Read 2 more answers
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