What is the length of arc S shown below?
The angle in the figure is a central angle in radians.

Answer:

9 units from point A to B.

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

because if you count the graph you will count nine

Answer:

Mr. Flores has mismatched socks in his drawer. He has 5 white, 12 black and 1 gray sock. Destiny selected two socks from the drawer. What is the probability that both socks are black?

Step-by-step explanation:

i need help dont judge me

if there are 4 numbers that average to 60, when mutiplied they must come up to: 60*4= 240

100+30+45= 175

240-175= 65

PROOF:

100+30+45+65= 240

240÷ 4

= 60

Answer:

x=65

Step-by-step explanation:

Mean= sum of terms

number of terms

60=30+45+x+100

4

240=175+x

x=240-175

=65

Answer:

I believe the answer is 28. Hope this helps :)

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56

The factors of 84 are: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Answer:

Style A sold 15 pairs while Style B sold 13 pairs

Step-by-step explanation:

Let the number of Style A pairs be A.

Let the number of Style B pairs be B.

The store sold 28 pairs of cross-trainer shoes for a total of $2,220 and Style A sold for $70 per pair while Style B sold for $90 per pair.

This implies 2 things:

A + B = 28 ________________ (1)

and

(70*A) + (90*B) = 2220

=> 70A + 90B = 2220 ________(2)

We now have two simultaneous equations:

A + B = 28 ________________ (1)

70A + 90B = 2220 __________(2)

From (1):

A = 28 - B ________________ (3)

Put (3) in (2):

70(28 - B) + 90B = 2220

1960 - 70B + 90B = 2220

1960 + 20B = 2220

Collecting like terms:

20B = 2220 - 1960

20B = 260

B = 260 / 20

B = 13

Therefore:

A = 28 - 13 = 15

Style A sold 15 pairs while Style B sold 13 pairs.

Final answer:

By setting up and solving a system of equations, it was determined that the store sold 15 pairs of Style A shoes and 13 pairs of Style B shoes.

Explanation:

To determine how many pairs of Style A and Style B cross-trainer shoes were sold, we can set up a system of linear equations using the information provided: 28 pairs of shoes were sold for a total of $2,220, with Style A shoes selling for $70 per pair and Style B selling for $90 per pair.

Let x represent the number of Style A shoes sold and y represent the number of Style B shoes sold. We can then set up the following equations based on the information provided:

System of Equations

Total cost equation: 70x + 90y = 2220 (since Style A costs $70 and Style B costs $90)

-70(x + y) = -70(28), which simplifies to -70x - 70y = -1960

70x + 90y = 2220

Adding the two equations results in:

20y = 260

Dividing both sides by 20 gives us y = 13.

Now we substitute y back into the first equation to find x:

x + 13 = 28

x = 28 - 13

x = 15.

Therefore, the store sold 15 pairs of Style A shoes and 13 pairs of Style B shoes.

Answer: $10240

Step-by-step explanation: 10 x 2^10 = 10240

_______________________________________________

Answer:

[tex]-b\leq a\leq b[/tex]

Step-by-step explanation:

When we have absolute value inequalities, there are specific way to find the solution sets.

If [tex]|a| < b[/tex] then [tex]-b<a<b[/tex]

If [tex]|a| >b[/tex] then [tex]a>b[/tex] or [tex]a<-b[/tex]

These definitions apply for the inequlity signs that involve equivalence.

If [tex]|a| \leq b[/tex] then [tex]-b\leq a\leq b[/tex]

If [tex]|a| \geq b[/tex] then [tex]a\geq b[/tex] or [tex]a\leq -b[/tex]

Therefore, the expression that completes the statement is

[tex]-b\leq a\leq b[/tex]

-5t + 70

70 is the y-intercept, which is where we start.

-5t means that it will move at a rate of -5/1 or 5 down and 1 across.

Answer:

Total expenses: $245.00

Total revenue: $479.00

Total profit $234.00

Step-by-step explanation:

Just did it and got it correct

Answer:

Volume of a cone: V = (1/3)πr2h.Step-by-step explanation:

Answer:

28.26

Step-by-step explanation:

volume = 1/3 * pi * r^2 * h

Answer:

The answer is B .

Step-by-step explanation:

You have to use Indices Law,

[tex] {a}^{m} \times {a}^{n} = {a}^{(m + n)} [/tex]

So for this question :

[tex] {6}^{9} \times {6}^{x} = {6}^{2} [/tex]

[tex] {6}^{9 + x} = {6}^{2} [/tex]

[tex]9 + x = 2[/tex]

[tex]x = 2 - 9[/tex]

[tex]x = - 7[/tex]

Answer:

the answer is B

Step-by-step explanation:

Answer:

It is greater than -24

Step-by-step explanation:

-170 divided by 7 is -24.2857...(repeating)

-170 is from doing -169 - 1

The answer to the question is that 7n - 1 is greater than -24.

To determine the relationship between 7n - 1 and -24, we need to solve the inequality 7n - 1 > -169 and then compare the solution to -24.

First, let's solve the inequality 7n - 1 > -169:

7n - 1 + 1 > -169 + 1

7n > -168

n > -168 / 7

Now, we have the solution to the inequality, which tells us that n must be greater than -24 to satisfy the inequality 7n - 1 > -169.

Since n > -24, it follows that 7n - 1 will also be greater than 7(-24) - 1. Let's calculate 7(-24) - 1:

7(-24) - 1 = -168 - 1 = -169

But we know from the inequality that 7n - 1 is strictly greater than -169. Therefore, 7n - 1 must be greater than -24 as well, because -169 is less than -24.

Hence, 7n - 1 is greater than -24.

Answer:

10

Step-by-step explanation:

- x - =+

Answer:

+10

Step-by-step explanation:

because when u multiply by 2 negatives u get a positive

Answer:

-25%

Step-by-step explanation:

I hope that helps

Answer:

k=10°

Step-by-step explanation:

<ZYX

<ZYM + <ZYX = 180° ( angle on straight line)

115° + <ZYX = 180°

<ZYX = 180° - 115°

<ZYX = 65°

k

<YZX + <ZXY + <ZYX = 180° ( sum of interior angles of a triangle)

(4k + 5)° + (6k + 10)° + 65° = 180°

10k + 80° = 180°

10k = 180° - 80°

10k = 100°

Multiplying both sides by 10

k = 100°

10

k = 10°

Answer:

a

Step-by-step explanation:

yes

Answer:

Answer: 23.7

Step-by-step explanation: Its correct on Brainly.

Answer:

Step-by-step explanation:

Given the complex numbers in polar cordinates

[2cis 33˚][3cis 22˚]

Generally, if z = rcis[tex]\theta\\[/tex], then z = r(cos[tex]\theta+isin\theta[/tex])

2cis33° = 2(cos33°+isin33°)

3cis22° =  3(cos22°+isin22°)

Taking tthe product of both complex numbers;

[2cis 33˚][3cis 22˚] = [2(cos33°+isin33°)][3(cos22°+isin22°)]

= 6{cos33cos22+icos33sin22+isin33cos22+i²sin33sin22}

since i² = 1

= 6{cos33cos22+icos33sin22+isin33cos22-sin33sin22}

= 6{(cos33cos22-sin33sin22)+i(cos33sin22+sin33cos22)}

Applying the trigonometric identity as shown;

cos(A+B)= cosAcosB-sinAsinB and;

sin(A+B)= sinAcosB + cosAsinB

[2cis 33˚][3cis 22˚] = 6{(cos(33+22)+ i(sin(33+22)}

[2cis 33˚][3cis 22˚] = 6(cos55°+isin55°)

[2cis 33˚][3cis 22˚] = 6cis55°

The product of the complex numbers is 6cis55°

Answer:

Option a is correct

Step-by-step explanation:

Given: [tex]3x^4+x^2-1[/tex]

To find: roots of the equation

Solution:

A number x is a root of an equation if it satisfies the equation. It is a real root if it is also a real number.

[tex]3x^4+x^2-1[/tex]

Take [tex]y=x^2[/tex]

[tex]3x^4+x^2-1=3y^2+y-1[/tex]

For an equation of the form [tex]ay^2+by+c=0[/tex], roots are given by [tex]y=\frac{-1\pm \sqrt{1+12}}{6}[/tex]

So,

[tex]x^2=\frac{-1\pm \sqrt{1+12}}{6}=\frac{-1\pm \sqrt{13}}{6}\\x=\pm \sqrt{\left ( \frac{-1\pm \sqrt{13}}{6} \right )}[/tex]

Real zeroes:

[tex]x=\pm \sqrt{\left ( \frac{-1+\sqrt{13}}{6} \right )}\\=\pm \sqrt{\left ( \frac{-1+ 3.61}{6} \right )}\\=\pm \sqrt{\left ( \frac{2.61}{6} \right )} \\=\pm \sqrt{0.44}\\=\pm 0.7[/tex]

Answer:a. -0.7, 0.7

Step-by-step explanation:

To determine who came closer to their grade's state record for the triple jump, calculate the difference between each jumper's distance and their grade's record. Alex jumped 39.85 feet, which is 2.4 feet away from the eighth-grade record. Eric jumped 37 feet and 1 1/4 inches, which is 1 foot 1 3/4 inches away from the seventh-grade record. Alex was closer to their grade's state record for the triple jump.

To determine who came closer to their grade's state record for the triple jump, we need to calculate the difference between each jumper's distance and their grade's record.

Alex jumped 39.85 feet, which is 2.4 feet (42.25 - 39.85) away from the eighth-grade record.

Eric jumped 37 feet and 1 1/4 inches, which is 1 foot 1 3/4 inches (39 - 37 - 1 1/4) away from the seventh-grade record.

Therefore, Alex was closer to their grade's state record for the triple jump.

Final answer:

Alex, an eighth grader, was closer to his grade's state record for the triple jump than Eric, a seventh grader.

Explanation:

To determine who came closer to their grade's state record for the triple jump, we need to compare the distances jumped by Alex and Eric to their grade's respective records. Alex jumped 39.85 feet, which is 2.4 feet less than the eighth-grade record of 42.25 feet. Eric jumped 37 feet and 1 1/4 inches, which is 1.75 feet less than the seventh-grade record of 39 feet 3 inches.

By comparing the differences, we can see that Alex was closer to his grade's record by 2.4 feet, while Eric was closer to his grade's record by 1.75 feet. Therefore, Alex was closer to his grade's state record for the triple jump than Eric.

Answer:

12.56

Step-by-step explanation:

Radius = 8/2 = 4

Arc length = pi × r

= 3.14 × 4

= 12.56

Answer: n+22 less than 120 (B)

Step-by-step explanation:

I got it right on edg

The inequality equation is n ≤ 98

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

The total number of people the room can hold = 120 people

The number of coaches and players = 22

Let the number of people to be invited be n

So , n + 22 should not be more than 120

On simplifying the equation , we get

n + 22 ≤ 120

Subtracting 22 on both sides of the equation , we get

n ≤ 98

Hence , the inequality is n ≤ 98

To learn more about inequality equations click :

https://brainly.com/question/11897796

#SPJ6

Answer:

B. 0.72

Step-by-step explanation:

8/11 = 0.72

Answer:

[tex]x1 = 2 \\ x2 = - \frac{3}{2} [/tex]

Step-by-step explanation:

[tex]x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac } }{2a} \\ x = \frac{1 + - \sqrt{ {( - 1)}^{2} - 4(2)( - 6) } }{2(2)} \\ x = \frac{1 + - \sqrt{1 + 48} }{4} \\ x = \frac{1 + - \sqrt{49} }{4} \\ x = \frac{1 + - 7}{4} \\ \\ x1 = \frac{1 + 7}{4} = \frac{8}{4} = 2 \\ x2 = \frac{1 - 7}{4} = - \frac{6 }{4} = - \frac{3}{2} [/tex]

Answer:

x = -1 ± √7

The picture explains the rest...

Answer:

She made an error in step 1.

To change a division of fractions to a multiplication problem, you multiply by the reciprocal of one of the numbers (use the KFC rule of Keep, Flip, Change). Keep 7/9, flip the sign (division to multiplication), and change 3/8.

Johnetta should have done  7/9 times 8/3, which would be 56/27.

(Hope this helps) Sky :)

To change a division of fractions to a multiplication problem, you multiply by the reciprocal of one of the numbers (use the KFC rule of Keep, Flip, Change). Keep 7/9, flip the sign (division to multiplication), and change 3/8.

Johnetta should have done  7/9 times 8/3, which would be 56/27.

step 1 is wrong

Answer:

32 minutes.

Step-by-step explanation:

Hello there!

Add the time of the movie to the time they arrived:

10:15+48=11:03

Then subtract this number from 11:35

11:35-11:03=32 minutes

:)

Answer:

y = 2x-1

Step-by-step explanation:

The y intercept is -1

The slope is rise over run

Up 2 / right1

The slope is 2/1 = 2

The slope intercept form of the equation is

y = mx +b where m is the slope and b is the y intercept

y = 2x-1

Answer: 30%

Step-by-step explanation:

Ive had this before the answer is 30%

Answer: The length of rectangle is 15 cm and width is 20 cm

Step-by-step explanation:

As according to question

Let the width of rectangle = x cm

Length of rectangle =(x- 5) cm

Area of rectangle is 300 cm²

As we know Area of rectangle is given by

[tex]Area = length \times breadth \\\\\Rightarrow 300 = (x-5)x\\\\\Rightarrow 300 = x^2-5x\\\\\Rightarrow x^2-5x-300 = 0 \\\\\Rightarrow x^2-20x+15x-300 = 0 \\\\\Rightarrow x(x-20) +15(x-20) =0\\\\\Rightarrow (x-20)(x+15)=0[/tex]

Therefore either (x-20)= 0 or (x+15)=0

i.e. either x= 20 or x = -15

Now width can not be negative

Therefore it cant be -15

Hence the width is 20 cm

Length = x- 5 = 20-5 = 15 cm

Hence the length of rectangle is 15 cm and width is 20 cm

Final answer:

To find the dimensions of a rectangle when given the area, set up an equation using the information and solve for the unknowns.

Explanation:

To find the dimensions of the rectangle, we can set up an equation using the given information. Let's use 'L' to represent the length and 'W' to represent the width. The problem states that the length is 5 centimeters less than the width, so we can write the equation as: L = W - 5.

We also know that the area of a rectangle is found by multiplying the length and width together. In this case, the area is given as 300 square centimeters. So, we can write another equation: L * W = 300.

Now, we can substitute L = W - 5 into the second equation to solve for the width. (W - 5) * W = 300. Simplifying this equation will give us a quadratic equation, which we can solve to find the width. Once we know the width, we can subtract 5 to find the length.

Answer:

x=7

Step-by-step explanation:

Inscribed Angle =1/2 Intercepted Arc

<T = 1/2 (WRS)

11x+5 = 1/2(10x-6 + 100)

Multiply each side by 2

2(11x+5 )= (10x-6 + 100)

Distribute

22x +10 = 10x+94

Subtract 10x from each side

22x-10x +10 = 10x-10x+94

12x +10 = 94

Subtract 10 from each side

12x = 94-10

12x = 84

Divide each side by 12

12x/12 = 84/12

x = 7

Answer:

they use 212 gallons

Step-by-step explanation:

(68.9/32.5)*100

the division by 32.5 is to determine the amount of water one percent would be, so multiplying it by 100 will give you the total amount

Final answer:

To find the total daily water usage of a family using 68.9 gallons per day for drinking, which is 32.5% of their total usage, you divide the amount of water for drinking by 0.325. The calculation shows the family uses about 212 gallons of water per day.

Explanation:

The question asks us to calculate the total daily water usage of a family if they use 68.9 gallons per day for drinking, which represents 32.5% of their total daily use. To find the total water use, we divide the amount of water used for drinking by the percentage that represents drinking water.

Step-by-step Calculation:

Convert the percentage to a decimal by dividing 32.5 by 100, giving us 0.325.

Divide the gallons used for drinking by this decimal: 68.9 gallons / 0.325 = 212 gallons (rounded to the nearest whole gallon).

Therefore, the family uses approximately 212 gallons of water every day for all purposes.