If xy is rational, must x and y each be rational?

Answers

Answer 1
Answer: Your answer is is simply,no x and y could have a common irrational factor. 

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How do you write the number 5.843 × 1010 in standard form?58,430,000,000
5,843,000,000
584,300,000
584,300,000,000

Answers

The standard form will be the first one,


58,430,000,000


The power 10 shows us that we have to move the decimal place to the write, 10 places.

Find b, given that a = 18.2, B = 62°, and C = 48°. Round answers to the nearest whole number. Do not use a decimal point or extra spaces in the answer or it will be marked incorrect.

Answers

Answer:

17

Step-by-step explanation:

We have been given that in triangle ABC, measure of angle B is 62 degrees and measure of angle C is 48 degrees. The length of side opposite to angle a is 18.2. We are asked to find length of side b.

We will use law of sines to solve for side b.

\frac{a}{\text{sin}(A)}=\frac{b}{\text{sin}(B)}=\frac{c}{\text{sin}(C)}

m\angle A+m\angle B+m\angle C=180^(\circ)\n\nm\angle A+62^(\circ)+48^(\circ)=180^(\circ)

m\angle A+110^(\circ)=180^(\circ)

m\angle A+110^(\circ)-110^(\circ)=180^(\circ)-110^(\circ)

m\angle A=70^(\circ)

Upon substituting our given values, we will get:

\frac{18.2}{\text{sin}(70^(\circ))}=\frac{b}{\text{sin}(62^(\circ))}

\frac{18.2}{\text{sin}(70^(\circ))}*\text{sin}(62^(\circ))=\frac{b}{\text{sin}(62^(\circ))}*\text{sin}(62^(\circ))

\frac{18.2}{\text{sin}(70^(\circ))}*\text{sin}(62^(\circ))=b

b=\frac{18.2}{\text{sin}(70^(\circ))}*\text{sin}(62^(\circ))

b=(18.2)/(0.939692620786)*0.882947592859

b=19.1551999*0.882947592859

b=16.9130376

b\approx 17

Therefore, the length of side b is 17 units.

47.8 is 10% of?? what is the answer and how do I do it??

Answers

1 \% = (1)/(100)\n \nx \cdot 10 \% = 47.8 \n \n x \cdot \not10^(1)\cdot (1)/(\not100^(10))=47.8\n \nx \cdot (1)/(10)=47.8 \ \ /*10 \n \n x \cdot (1)/(\not10^(1))\cdot \not10^(1)=47.8 \cdot 10 \n \nx =478
very simple the answer is 478 to get there you know that 47.8 is 10% of something that something has to equal 100% so 10%x10= 100% 47.8x10=478

If x,2x and 3x are the angles of a triangle find the size of angle​

Answers

Answer:

x=30

2x=60

3x=90

Step-by-step explanation:

in total there is 6x

180/6=30

x=30

2x=60

3x=90

Answer:30°

Step-by-step explanation:

Thera are 3 angles in a triangel. The sum of all angles is 180°

x+2x+3x=180

6x=180

x=180/6=30

A customer went to a garden shop and bought some potting soil for $11.50 and 9 shrubs. The total bill was $94.75. Write and solve an equation to find the price of each shrub.A. 9p + 11.5p = $94.75; p = $4.62

B. 9(p + $11.50) = $94.75; p = $5.00

C. 9p + $11.50 = $94.75; p = $11.75

D. 9p + $11.50 = $94.75; p = $9.25

Answers

Based on the data provided if the customer went to the shop and bought the potting soil and shrubs with the total bill of $94.75 and the potting soil alone is for $11.50. We can determine the price of the shrubs in total by deducting the 2 values. $94.75 - $11.50 = $83.25. Now that we have the total amount of the shrubs to get the amount of each shrub we then divide the total amount versus the number of shrubs which is 9, ergo $83.25/9 = 9.25 per shrub.

So the answer to this question is:

D. 9p + $11.50 = $94.75 p=$9.25

How to distribute this problem:
(x-8)^2 + 16

Answers

Answer:

We conclude that:

\left(x-8\right)^2+16=x^2-16x+80

Step-by-step explanation:

Given the equation

\left(x-8\right)^2\:+\:16

First, solve (x - 8)²

Apply Perfect Square formula:    (a - b)² = a² - 2ab + b²

a=x,\:\:b=8

\left(x-8\right)^2=x^2-2x\cdot \:\:8+8^2

             =x^2-16x+64

so the expression becomes

\left(x-8\right)^2+16=x^2-16x+64+16

                     =x^2-16x+80           Add the numbers: 64+16=80

Therefore, we conclude that:

\left(x-8\right)^2+16=x^2-16x+80