answer quickly only if you know ​

Answer:

see explanation

Step-by-step explanation:

note that (sinx)² = sin²x

4sin²x - 2 = 0 ( add 2 to both sides )

4sin²x = 2 ( divide both sides by 4 )

sin²x = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex] ( take square root of both sides )

sinx = ± [tex]\sqrt{\frac{1}{2} }[/tex] = ± [tex]\frac{1}{\sqrt{2} }[/tex]

sinx = [tex]\frac{1}{\sqrt{2} }[/tex] ( sinx > 0 , then x is in 1st/2nd quadrants )

x = [tex]\frac{\pi }{4}[/tex] , π - [tex]\frac{\pi }{4}[/tex] = [tex]\frac{3\pi }{4}[/tex]

sinx = - [tex]\frac{1}{\sqrt{2} }[/tex] ( sinx < 0 , then x is in 3rd/4th quadrants )

x = π + [tex]\frac{\pi }{4}[/tex] = [tex]\frac{5\pi }{4}[/tex] , 2π - [tex]\frac{\pi }{4}[/tex] = [tex]\frac{7\pi }{4}[/tex]

solutions are

[tex]\frac{\pi }{4}[/tex] , [tex]\frac{3\pi }{4}[/tex] , [tex]\frac{5\pi }{4}[/tex] , [tex]\frac{7\pi }{4}[/tex] in the interval [ 0, 2π )

Step-by-step explanation:

0.32=1/f

1/0.32=f

f=3.125

Step-by-step explanation:

Given:

Theater has 15 seats

Last Row has 72 seats.

Theater has a total of 870 seats.

Unknown: Number of rows

Number of seats in each row.

Equations: Since we know the total number of seats the Theater has we can use the sum of arithmetic series

[tex]s = \frac{a _{1} + a _{n} }{2} n[/tex]

Where a1 is the first row of seats

s is total number of seats

an is last row of seats

n is number of rows.

[tex]870 = \frac{15 + 72}{2} (n)[/tex]

[tex]870 = \frac{87}{2} n[/tex]

[tex]2(870) = 87n[/tex]

[tex]20 = n[/tex]

So we have 20 rows.

To find how many seats does each row increase, we use this formula,

[tex]a _{n} = a + (n - 1)d[/tex]

Let use the 20th row as an example,

[tex]a _{20} = 15 + (19)d[/tex]

[tex]72 = 15 + (19)d[/tex]

[tex]57 = 19d[/tex]

[tex]3 = d[/tex]

So the common difference is 3.

So the seats of each row increase by 3.

Answer:

x = 14

Step-by-step explanation:

x + 96 + 5x = 180

6x + 96 = 180

6x = 84

x = 14

Answer:

[tex]\huge\boxed{\sf x = 14}[/tex]

Step-by-step explanation:

x + 96 + 5x = 180 (Angles on a straight line)

Combine like terms

x + 5x + 96 = 180

6x + 96 = 180

Subtract 96 to both sides

6x = 180 - 96

6x = 84

Divide both sides by 6

x = 84 / 6

x = 14

[tex]\rule[225]{225}{2}[/tex]

Answer:

18 units by 18 units

makes sure the square add up to 18 going across and 18 going down.

Step-by-step explanation:

Answer: 10.5

Step-by-step explanation:

Answer:

y= -2x+4

Step-by-step explanation:

Answer:

[tex]\tt x=32.8[/tex]

Step-by-step explanation:

Given: Figare

Find: x

~

Answer:

the answer is 45%.

Step-by-step explanation:

if you add 5% divided by 3 = 15%.

So if you add all of those plus the 30% you will be getting 45%.

Answer:

2nd option

Step-by-step explanation:

the scale factor is the ratio of corresponding sides, image to original, so

scale factor = [tex]\frac{A'C'}{AC}[/tex] = [tex]\frac{9}{6}[/tex] = [tex]\frac{3}{2}[/tex] = 1 [tex]\frac{1}{2}[/tex]

Answer:

$22,320

Step-by-step explanation:

1. Understanding

Mean is the average of a given set

2. Solving

We have to find the average of all of these numbers.

How do I find the average?

I add all of the numbers and divide by the number of numbers I added. Example:

(x + x + x + x)/4 or,

(x+x)/2 and examples in numbers:

(3+4)/2 or,

(9+4+8+5+7)/5

See what I mean? Dividing by the number of numbers I have.

Ok, now we know that, we can solve!

Here is the equation for this problem:

(24,600+19,000+33,000+15,000+20,000)/5 (We have 5 numbers)

We have to do Parentheses First

(24,600+19,000+33,000+15,000+20,000)/5 --> 111,600/5

111,600/5 = 22,320

22,320 is the average number of all of the numbers, which is the mean

Hope this helps :)

-jp524

Answer: Angles RLN and MLK would be vertical angles.

Step-by-step explanation:

A horizontal line has points K, L, N. A line extends from point L up and to the right to point M: Angles RLN and MLN would be vertical angles.

Based on the given information, if a horizontal line contains points K, L, and N, and a line extends from point L up and to the right to point M, then angle KLM and angle MLN are a linear pair.

Now, if Ray LR is added to the diagram opposite to Ray LM, the resulting angle RLN would be formed.

Vertical angles are formed when two lines intersect. They are opposite angles and have equal measures. Looking at the diagram, angles RLN and KLN do not share a common vertex, so they cannot be vertical angles.

Similarly, angles RLN and KLM do not share a common side or form a straight line, so they cannot be a linear pair.

Therefore, the correct statement is: Angles RLN and MLN would be vertical angles.

To know more about Angles

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The monthly payment for a 5-year car loan of $23,570 at 10.43% interest, compounded monthly will be $660

It is given that the monthly payment for a 5-year car loan of $23,570 at 10.43% interest, is compounded monthly.

It is required to find the monthly payment.

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A=P(1+ \frac{r}{n})^n^t[/tex]

Where A = Final amount

           P = Principal amount

           r  = annual rate of interest

           n = how many times interest is compounded per year

           t = How long the money is deposited or borrowed (in years)

We have P = $23,570

               r  =  10.43% = 10.43/100 = 0.1043

               n = 12

               t = 5 years

Putting all the values in the formula, we get:

[tex]\rm A=23,570(1+\frac{0.1043}{12})^1^2^\times^5[/tex]

[tex]\rm A = 23,570\times1.680\\\rm A = 39597.6[/tex]

The monthly payment will be:

=[tex]\rm \frac{A}{t(in \ months)}[/tex]

[tex]\rm = \frac{39597.6}{60} \\\rm = 659.96\\\rm \approx 660[/tex]

Thus,  the monthly payment for a 5-year car loan of $23,570 at 10.43% interest, compounded monthly will be $660.

Learn more about the compound interest:

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Answer:

D. 505.79

Step-by-step explanation:

edge 2022

Answer:

Step-by-step explanation:

∠R=90-61=29°

using sin formula

[tex]\frac{x}{\sin~29} =\frac{59}{\sin~61} \\x=\frac{\sin~29}{\sin~61} \times ~59 \approx~32.7[/tex]

Answer:

5 adult and 3 student tickets were purchased

Step-by-step explanation:

Let x be the number of adult tickets

Then 8−x is the number of student tickets

7.25x+5.5(8−x)=52.75

7.25x+44−5.5x=52.75

1.75x=8.75

x=5

Therefore, 5 adult and 3 student tickets were purchased

Answer:

A and C (integers are whole numbers, so NOT fractions or decimals.)

Step-by-step explanation:

Answer:

A, C and E

Step-by-step explanation:

Integers are whole positive or negative numbers.

Answer:

side AB = [tex]9\sqrt{2}[/tex]

hypotenuse CB = 18

Step-by-step explanation:

with a 45-45-90 triangle, we know that the two legs (AC and AB in this picture) are the same length, so if AC is [tex]9\sqrt{2}[/tex] , then AB would have to be the same so therefore it would also be [tex]9\sqrt{2}[/tex]. We also know that the length of the hypotenuse (CB) is the length of the leg times [tex]\sqrt{2}[/tex]. So, it would be [tex](9\sqrt{2} ) *\sqrt{2}[/tex], which is the same as saying [tex]9*(\sqrt{2}) * (\sqrt{2} )[/tex]. Doing [tex](\sqrt{2}) * (\sqrt{2} )[/tex] would cancel out the square roots, leaving you with just 2, so you get 9*2, which is 18.

Foreign Policy: Imperialism  For82622

Answer:

Sam would make about 13,440 per year.

His pay check would be deducted over 93% which is 12,406 spent on bills, and about $90 left to spend on whatever he wants.

The solution the equation [tex]\rm log(2t+4)=log(14-3t)[/tex] is t = 2.

Considering that the logarithm function is injective then the log is removing from the both sides and solving the equation for the value of t.

Given

The equation is;

[tex]\rm log(2t+4)=log(14-3t)[/tex]

The solution of the equation is;

[tex]\rm log(2t+4)=log(14-3t)\\\\2t+4=14-3t\\\\2t+3t=14-4\\\\5t=10\\\\t=\dfrac{10}{5}\\\\t=2[/tex]

Hence, the solution the equation [tex]\rm log(2t+4)=log(14-3t)[/tex] [tex]\rm log(2t+4)=log(14-3t)[/tex] is t = 2.

To know more about logarithmic properties click the link given below.

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Step-by-step explanation:

Area=1/2(πr^2)

= 1/2 × 22/7 × 1^2

=11/7=1 4/7cm^2

Note: I will be writing these in slope-intercept form.

[6] y = 2x + 4

Since the line is going from bottom left to top right, we know the slope of the line is positive.

-> The b, or y-intercept, is 4 because the line hits the y-axis at 4.

-> The slope can be found with change in y over change in x,

[tex]\frac{14-4}{5-0} =\frac{10}{5} =2[/tex]

-> The final equation is y = 2x + 4

[7] y = -3x - 5

Because the line is going from top left to bottom right, we know the slope of the line will be negative.

-> The b, or y-intercept, is -5 because the line hits the y-axis at -5.

-> The slope can be found with change in y over change in x,

[tex]\frac{4--5}{-3-0}=\frac{4+5}{-3-0}=\frac{9}{-3}=-3[/tex]

-> The final equation is y = -3x - 5

There are no options.

[tex]\frac{1}{b^{4} }[/tex]   <------------- only expression created by this rule.

Answer:

Step-by-step explanation:

The given expression should be typed as b^(-4), which indicates that variable b has the exponent -4.

Recall that:            

     1

------------- = a^(-n)

   a^n

                                        1

Therefore, b^(-4) =   --------------

                                     b^4

Answer:

The probability of picking a 7 as the first card is 4 out of 52 or 1/13. The probability of picking a 5 as the second card is 4 out of 51. For both to happen, we multiply and get about .00603318

Thanks!

person above me is correct

Step-by-step explanation:

Answer:

??????????

Step-by-step explanation:

Answer:

Vol = 75.36 in^3

Step-by-step explanation:

A can is a cylinder. The volume of a cylinder is:

V = pi•r^2•h

Your radius is 2 inches. And height given is 6 inches.

V = pi•2^2 •6

V = (3.14)4(6)

V ~= 75.36 cubic inches

If you need a different unit like ml or oz. please comment, will edit.

Hope this helps!

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