Find the missing side. Round
to the nearest tenth.
Х
141
43°
у
X=[?]

Answer:

Both [tex](6,\, 0)[/tex] and [tex](8,\, 2)[/tex] are inside this circular area.

[tex](6 - 5)^{2} + (0 - 1)^{2} = 2 < 22[/tex].

[tex](8 - 5)^{2} + (2 - 1)^{2} = 10 < 22[/tex].

Step-by-step explanation:

Equation for a circle in 2D, with center [tex](a,\, b)[/tex] and radius [tex]r[/tex]:

[tex](x - a)^{2} + (y - b)^{2} = r^{2}[/tex].

Compare this expression with the one from this question:

[tex](x - 5)^{2} + (y - 1)^{2} = 22 = \left(\sqrt{22}\right)^{2}[/tex].

Hence: [tex]a = 5[/tex], [tex]b = 1[/tex], and [tex]r = \sqrt{22}[/tex].

Therefore, [tex]\! (5,\, 1)[/tex] and [tex]\sqrt{22}[/tex] would be the center and the radius of the circle [tex](x - 5)^{2} + (y - 1)^{2} = 22[/tex].

A point is inside a circle if and only the Euclidean distance between that point and the center of that circle is smaller than the radius of the circle. That is the same as requiring that the square of the Euclidean distance between these two points to be smaller than the square of the radius of the circle.

Formula for the Euclidean distance between [tex](x_1,\, y_1)[/tex] and [tex](x_2,\, y_2)[/tex]:

[tex]\displaystyle \sqrt{(x_1 - x_2)^{2} + (y_1 - y_2)^{2}}[/tex].

The square of the Euclidean distance between these two points would be:

[tex]\displaystyle (x_1 - x_2)^{2} + (y_1 - y_2)^{2}[/tex].

Calculate the square of the distance between [tex](6,\, 0)[/tex] and the center of the circle, [tex](5,\, 1)[/tex].

[tex](6 - 5)^{2} + (0 - 1)^{2} = 2[/tex].

The square of this distance is smaller than [tex]22[/tex], the square of the radius of this circle. Hence, the point [tex](6,\, 0)[/tex] is inside this circle.

Similarly, calculate the square of the distance between [tex](8,\, 2)[/tex] and the center of the circle, [tex](5,\, 1)[/tex].

[tex](8 - 5)^{2} + (2 - 1)^{2} = 10[/tex].

The square of this distance is smaller than [tex]22[/tex], the square of the radius of this circle. Hence, the point [tex](8,\, 2)[/tex] is also inside this circle.

Notice that the point [tex](x,\, y)[/tex] is on the 2D circle [tex](x - a)^{2} + (y - b)^{2} = r^{2}[/tex] if and only if [tex]x[/tex] and [tex]y[/tex] satisfy the equation of that circle.

On the other hand, [tex](x,\, y)[/tex] is inside this circle if and only [tex]x[/tex] and [tex]y[/tex] satisfy the inequality [tex](x - a)^{2} + (y - b)^{2} < r^{2}[/tex].

Both [tex](6,\, 0)[/tex] and [tex](8,\, 2)[/tex] satisfy the inequality [tex](x - 5)^{2} + (y - 1)^{2} < 22[/tex]. Hence, both points are inside the circle [tex](x - 5)^{2} + (y - 1)^{2} = 22[/tex].

Answer:

Both were major port cities. (A)

Step-by-step explanation:

Answer:

The correct answer is A. Both were major port cities

Step-by-step explanation:

I am 100% sure

Answer:

1.2 cups of raisins or 1 and 1/5 cups of raisins. (Same thing) :)

Step-by-step explanation:

6/5 is 1.2. So multiply the 1 by 1.2 as well to get 1.2. This was solved by using proportions.

Hope it helps!

Answer: -pi/4 and 3pi/4

Step-by-step explanation:

Whenever you're given an inverse trig function like this, think "tangent of what gives me -1?" There are multiple ways in which you can solve this; knowing how tangent work, guess checking sin/cos to get -1, or using a calculator. The only way tangent can be an integer is if the sine and cosine of the angle are equal.

The only spots on the pi circle where this happens is pi/4, 3pi/4, 5pi/4, and 7pi/4. Answers B and D are correct

Answer:

b

Step-by-step explanation:

just did it on edg 2020

Answer:

y=63

Step-by-step explanation:

Start off by adding 13 to both sides:

1/3y-13=8

     +13 +13

Now you have this:

1/3y=21

Now multiply each side by 3/1 (3) to get your answer:

(3) 1/3y=21 (3)

Y=63

Check your answer:

63/3=21 21-13=8

I hope this helps, and have a great day! <3 :)

Answer: 2.2876792e+13

Step-by-step explanation: calculator

Answer:

The equation does not have any real solutions.

The equation only has two imaginary solutions.

Step-by-step explanation:

Step 1

[tex] \large{D = {b}^{2} - 4ac}[/tex]

Let a = 1, b = 1 and c = 3 from the given equation.

[tex]D = {(1)}^{2} - 4(1)(3) \\ D = 1 - 12 \\ D = - 11[/tex]

Since the value of D is in negative. Therefore, the equation does not have any solutions.

Discriminant

[tex]D > 0 \longrightarrow \sf{two \: \: real \: \: solutions} \\ D = 0 \longrightarrow \sf{one \: \: real \: \: solution} \\ D < 0 \longrightarrow \sf{two \: \: imaginary \: \: solutions} [/tex]

Answer:

peanut butter cost $0.55

Step-by-step explanation:

j=jelly

p=peanut butter

4p+7j=$6.95

8p+6j=$8.45

solve for p:

8p=8.45-6j

p=(8.45-6j)/8

substitute for p

4(8.45-6j)/8+7j=6.95

reduce

(33.8-24j)/8+7j=6.95

4.225-3j+7j=6.95

4j=6.95-4.225

4j=2.725

j=0.68125

8p+6(0.68125)=8.45

8p+4.0875=8.45

8p=4.3625

p=0.5453

Answer:

Algebra (from Arabic: الجبر‎ al-jabr, meaning "reunion of broken parts"[1] and "bonesetting"[2]) is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols;[3] it is a unifying thread of almost all of mathematics.[4] It includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields. The more basic parts of algebra are called elementary algebra; the more abstract parts are called abstract algebra or modern algebra. Elementary algebra is generally considered to be essential for any study of mathematics, science, or engineering, as well as such applications as medicine and economics. Abstract algebra is a major area in advanced mathematics, studied primarily by professional mathematicians.

Elementary algebra differs from arithmetic in the use of abstractions, such as using letters to stand for numbers that are either unknown or allowed to take on many values.[5] For example, in {\displaystyle x+2=5}x+2=5 the letter {\displaystyle x}x is an unknown, but applying additive inverses can reveal its value: {\displaystyle x=3}x=3. In E = mc2, the letters {\displaystyle E}E and {\displaystyle m}m are variables, and the letter {\displaystyle c}c is a constant, the speed of light in a vacuum. Algebra gives methods for writing formulas and solving equations that are much clearer and easier than the older method of writing everything out in words.

The word algebra is also used in certain specialized ways. A special kind of mathematical object in abstract algebra is called an "algebra", and the word is used, for example, in the phrases linear algebra and algebraic topology.

A mathematician who does research in algebra is called an algebraist.

Answer:

D

Step-by-step explanation:

if to substitute values of n=1;2;3;4;5 into

[tex]a_n=n^2-5[/tex]

then a₁=-4; a₂=-1; a₃=4; a₄=11; a₅=20.

It means the answer {-4, -1, 4, 11, 20,...} is correct.

Answer:

25 3/5

Step-by-step explanation:

i think

Answer:

7/2+35/4+89/12+6/5=210+525+445+72/60=1252/60=313/15

Step-by-step explanation:

Answer:

1/9

Step-by-step explanation:

6-5/9

1/9

Answer:

2/3=6/9 (Equilising denominators using lcm)

Now we have equal denominators, so can subtract.

Therefore,

6/9-5/9

=6-5/9

=1/9

Answer:

d = 50h

d = distance traveled

h = hours

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

:))

Answer:

D. cmdjjcmcjdkxjjskxkxmjxjxkxjmxjddkkxxkxjjsikskkkxksk

Answer:

B. Range C. Dependent Variable F. Output

Step-by-step explanation:

Answer:

8-3i

Step-by-step explanation:

additive inverse of a+bi is -(a+bi)

so -(-8+3i) -- distribute negative through ()

8-3i

The given question is incomplete. The complete question is:

A force of 90 Newton's is applied to a [tex]20cm^2[/tex] surface. The force applied is then increased by 5 Newton's and the surface is increased by [tex]5cm^2[/tex]. What percentage does the outcome decrease by

Answer: The outcome decreases by 15.5 %

Step-by-step explanation:

Pressure is defined as the ratio of force per unit area.

[tex]Pressure=\frac{Force}{Area}[/tex]

Case 1: [tex]P_1=\frac{90N}{20cm^2}=4.5Ncm^{-2}[/tex]

Case 2: [tex]P_2=\frac{95N}{25cm^2}=3.8Ncm^{-2}[/tex]

Decrease in pressure = [tex]P_1-P_2[/tex] = [tex](4.5-3.8) Ncm^{-2}=0.7Ncm^{-2}[/tex]

Percentage decrease = [tex]\frac{0.7}{4.5}\times 100\%=15.5\%[/tex]

Thus the outcome decreases by 15.5 %

Answer: 3 consecutive integers

x = 1st integer (country A)

x + 1 = 2nd integer (country B)

x + 2 = 3rd integer (country C)

whose sum is 114

x + (x + 1) + (x + 2) = 114...combine like terms

3x + 3 = 114

3x = 114 - 3

3x = 111

x = 111/3

x = 37 <== country A

x + 1 = 37 + 1 = 38 <==country B

x + 2 = 37 + 2 = 39 <== country C

Step-by-step explanation:

Answer:

29, 30, 31

Step-by-step explanation:

(x) + (x+1) + (x + 2) = 90

3x + 3 = 90

x = 29

(29) + (30) + (31) = 90

Answer:

1:4

Step-by-step explanation:

Convert 8 pints into cups which we can do this by 8x2=16 we can do this because 1 pint=2 cups. So know we have 4:16 which we can simplify to 1:4

Hope this helps :)

How to solve your problem:

2a+13−0+65b

Simplify:

1. Add the numbers -

2a+13+0+65b = 2a+13+65b

2. Rearrange terms

2a+13+65b = 2a+65b+13

Solution: 2a+65b+13

The answer is B.

Answer:

[tex]2x^2-6[/tex]

Step-by-step explanation:

If a quadratic equation has a root at a certain point, the x value must equal. zero.  If we want to have the function reach 6 and -6 as roots:

x = 6

x - 6 = 0

x = -6

x + 6 = 0

Combining the two we get (x+6)(x-6) which will give us a quadratic equation.

Expanding: [tex]x^2-6x+6x-6 = x^2-6[/tex]

The leading coefficient is the number before the variable with the highest power, which is 2: [tex]2x^2-6[/tex]

Answer: 1

Step-by-step explanation:

[tex](0.1)(9.8)+2(0.1)^2\\0.98+0.02=1[/tex]

Answer:

8

Step-by-step explanation:

Jeremiah bought x toy sets for $20 each and then a video game for $60. Jeremiah spent a total of $220. How may toy sets did he buy?

To find our answer, we can solve the equation:

20x + 60 = 220

        -60    -60

20x = 160

/20    /20

x = 8

Jeremiah bought 8 toy sets!

I hope this helps :)

Step-by-step explanation:

first we will take comman then

[tex] \frac{4}{5} - \frac{2 \times 5}{5} [/tex]

then 4 - 10

it will be

[tex] \frac{6}{5} [/tex]

or

[tex]1 \frac{1}{5} [/tex]

i hope it will help

Answer:

Solution is [tex]\frac{-6}{5}[/tex]

Step-by-step explanation:

[tex]\frac{4}{5} - 2[/tex]

Set common denominators

[tex]\frac{4}{5} - \frac{10}{5}[/tex]

Subtract

[tex]\frac{4}{5} - \frac{10}{5} = \frac{-6}{5}[/tex]