Laura and Andy are trying out for a part in a school play. There is a total of 9 students trying out for the same part. If the students are chosen at random to audition, what is the probability that Laura will go first and Andy second?

Answer:

28°

Step-by-step explanation:

every Triangle equals to 180°

85+67=152

180-152=28

Answer:

There are 341 inches from  the perimeter of a pentagon train made from 85 pentagons

Step-by-step explanation:

A pentagon is a polygon with five sides. A regular pentagon have all the five sides equal in length and also all the five interior angles equal.

The perimeter of a pentagon = 5l

Nof for a pentagon train attached to 1 pentagon by its sides;

The perimeter = (5 × 1 - (1-1))

Perimeter = 5

For pentagon train attached to two pentagon

Perimeter = ( 5×2 - (2-1))

Perimeter = (10 1)

Perimeter = 9

For pentagon train with n pentagon

Perimeter = ( 5× n -(n-1))

Perimeter = 5n - n+1

Perimeter = 4n + 1

∴ For pentagon train attached to 85 pentagon; where n=85

Perimeter = 4 n + 1

Perimeter = (4 × 85)+1

Perimeter = 340+1

Perimeter = 341 inches

There are 341 inches from  the perimeter of a pentagon train made from 85 pentagons

Answer: 20 over 7 units

Step-by-step explanation:

Answer:

[tex]n<\frac{29}{9}\\n<3.222222.....\\[/tex]

n ≈ 3

Step-by-step explanation:

9n-2<7+20

[tex]9n-2<27 \leftarrow \text {Combine Like Terms}\\9n-2+2<27+2 \leftarrow \text {Addition Property of Equality}\\9n<29\\\frac{9n<29}{9} \leftarrow \text {Divsion Property of Equality}\\\boxed{n<\frac{29}{9}}[/tex]

Answer:

Step 3  they took the square root incorrectly

Step-by-step explanation:

5 ( x-2)^2 +6 = 86

Subtract 6 from each side

5 ( x-2)^2 +6 -6= 86-6

5 ( x-2)^2  = 80

Divide each side by 5

5 ( x-2)^2  /5 = 80/5

(x-2)^2 = 16

Take the square root of each side

sqrt((x-2)^2)  = ±sqrt(16)

x-2 = ±4

Answer:

C and D

Step-by-step explanation:

since sqrt(4) = 2, we can replace all of the sqrt(4) in D to 2

Once we do that, it becomes

2 1

1 2

2 1

or C

Answer:

$60

Step-by-step explanation:

Firstly, you would divide $1,200 by 15, which is 80.

This gives you the cost for each television including the additional $20.

Then, you would do 80-20 = 60 to find the cost of the individual television without the warranty.

Answer:

1) 28m West 2)70km below sea level

Answer:

[tex]0.2y+0.2x-8[/tex]

Step-by-step explanation:

[tex]\frac{2}{5}y+\frac{1}{5}x-0.2y-6+\left(-2\right)[/tex]

[tex]=\frac{2}{5}y+\frac{1}{5}x-0.2y-6-2[/tex]

[tex]=\frac{2}{5}y-0.2y+\frac{1}{5}x-6-2[/tex]

[tex]\frac{2}{5}y-0.2y[/tex]

[tex]=y\left(\frac{2}{5}-0.2\right)[/tex]

[tex]\frac{2}{5}-0.2=0.2[/tex]

[tex]=0.2y[/tex]

[tex]=0.2y+\frac{1}{5}x-6-2[/tex]

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

[tex]=\frac{1\cdot \:x}{5}[/tex]

[tex]=\frac{x}{5}[/tex]

[tex]=0.2y+\frac{x}{5}-6-2[/tex]

[tex]=0.2y+0.2x-8[/tex]

Answer:

41 degrees

Step-by-step explanation:

Here in this question , we are interested in calculating the value of angle x.

Firstly, we shall be needing a diagrammatic representation, please check attachment for this.

We are interested in calculating angle x, which represents the angle facing the opposite. The other third side that we have is referred to as the adjacent.

The trigonometric ratio to use here is thus called the tangent.

Mathematically the tangent of an angle = length of the opposite/length of the adjacent

The value 5.6 is our opposite since it faces the angle while the length 6.5 is the adjacent.

Thus;

tan x = 5.6/6.5

tan x = 0.8615

x = arc tan 0.8615

x = 40.75 degrees which is 41 degrees to the nearest degree

Answer:

41

Step-by-step explanation:

tan  −1  (  6.5 /  5.6  )  =  40.746 = 41

Answer:

6

Step-by-step explanation:

Okay so the shape has an area of 60 square inches. The formula for the area of a triangle is A = b*h where A = area, b = base, and h = height

So we are given the value for A (60)

We are given the value for height (10)

So we just need to find the value of the base

So let's set this up as an equation. Input the given values into the area for triangle formula

A = B*h

60 = B * 10

So we need to solve for B. To do that we need to get B alone on one side of the = sign. B is being multiplied by 10 so do the opposite and divide both sides by 10

60 divided by 10 = 6

10 divided by 10 = 1 (don't actually put a 1 down, just drop it)

So we are left with

6 = B

So the base is 6 square inches. To test, put it in the equation:

A = B*h

60 = 6*10

60 = 60

Answer: A.

Step-by-step explanation:

yeet

Answer:

A.

Step-by-step explanation:

Because if you multiply out the top of the fraction to simplify it, it will equal zero. And zero divided by any number is equal to zero because no number fits into zero. So A. would be the best answer since you are multiplying an expression by zero on the top, and you can't get any number other then zero for the answer of the fraction. And 0 + 9.4 = 9.4.

Answer:

The sine of cx in the triangle is the opposite side/the hypotenuse

sin(cx) = 7/25

sin(cx) = 0.28

cx = sin^-1 (0.28)

cx = 16.26 degrees

Answer:

The correct answer is a) 0 and 1.

Step-by-step explanation:

By converting the fractions into decimals, we can see that -1/4 is equivalent to -0.25 and 3/2 equals 1.5. Therefore, anything with a value outside of -0.25 < x < 1 should be marked out. So, anything containing anything less than -0.25 cannot be considered (i.e., -1) and anything above one cannot be considered (i.e., 2). Therefore, the only option left is a) 0 and 1.

Answer:

a) 0 and 1

Step-by-step explanation:

the easiest way to think about this problem is using a number line to picture where the numbers are. I cant really do that easily on here but i will try my best to explain it with words.

If you think about where the numbers are on a number line you should see that -1/4 is slightly less than zero, which would put it to the left of zero.

Likewise, if you think about 3/2, which is equal to [tex]1\frac{1}{2}[/tex] it is slightly bigger than 1, which would put it to the right of 1 on a number line.

So if you think about the integers (which are numbers that can be positive or negative but do not involve decimals or fractions ex. -2, -1, 0, 1, 2 etc.) which are between those two numbers on the number line, the only integers are 0 and 1, which gives you your answer.

Answer:

Option C on E2020

Step-by-step explanation:

just finished the test

Answer:

C

Step-by-step explanation:

solution

or, 2 x + y = 5 y - 8 being opposite side of

parallelogram

or , 2x =5 y - y - 8

or, 2x = 4 y - 8

or, x = 4y - 8/2

or,. x = 2y- 4

therefore, 2x + y is equal to 5 y - 8 Being the opposite side of a parallelogram

now,

3y + 2 x is equal to 4x - 3 being opposite side of a parallelogram

or, 3y + 2 x-4x = -3

or,. 3y -2x = -3

Answer:

Step-by-step explanation:

what kind of graph

Answer:

A) this function has vertical asymptotes at an interval of π.

1/2 cosecx is the answer

Step-by-step explanation:

EDGE2020

Answer:

R=T

Step-by-step explanation:

We could say that the same symbol = makes it look like a true statement.

We could say that the same symbol makes us see a true statement.

In this case we are showing that R corresponds to T therefore it is true or confirmed, regardless of the value that R has.

Answer:

The Answer is D. because -4 passes trough the x intercept and -2 passes through the y

Step-by-step explanation:

Answer:

The answers are:

x-intercept = -4

y-intercept = -2

Step-by-step explanation:

According to the following to graph, you need to find the x-intercept and the y-intercept. The x-intercept, is when a line crosses the x-axis of the graph, and the y-intercept, is when a line crosses the y-axis of the graph.

Finding the x-intercept and the y-intercept:

x-intercept = -4

y-intercept = -2

Answer:

78 dollars

Step-by-step explanation:

Take the prices and multiply by the percent commission

778 * 10 %

Change to decimal form

778 * .10

77.80

Round to the nearest dollar

78

Answer:77.80

Step-by-step explanation:

Answer: 87

Step-by-step explanation:

If it is the 165th person each day

7303/165 =  44.26 ( so 44 free admissions on Saturday)

7126/165 = 43.19 (so 43 free admissions on Sunday)

87 free admissions over the two days

If 165th person where it can carry over from day to day

(7303 + 7126)/165 = 87.49

87 free admissions over the two days

Same answer this time, but could be different in a diferent problem.

Answer:

x = 38.7

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opposite/ adjacent

tan x = 8/10

Take the inverse tan of each side

tan ^-1 ( tan x) = tan ^-1 (8/10)

x = tan ^-1 (8/10)

x =38.65980825

To the nearest tenth

x = 38.7

Answer:

38.7

Step-by-step explanation:

Answer:

On the circle

Step-by-step explanation:

Graph it

Answer:

On the circle.

Step-by-step explanation:

I recommend using a visual.

Solution,

5n^3+4n^2-9+(-2n^3+7n-5)

= 5n^3+4n^2-9-2n^3+7n-5.

Combine the like terms,

=5n^3-2n^3+4n^2+7n-9-5

=3n^3+4n^2+7n-14

hope it helps

Good luck on your assignment

Answer:

[tex] = 3 {n}^{3} + 4 {n}^{2} + 7n - 14 \\ [/tex]

Step-by-step explanation:

[tex]5 {n}^{3} + 4{n}^{2} - 9 + ( - 2 {n}^{3} + 7n - 5) \\ 5 {n}^{3} + 4 {n}^{2} - 9 - 2 {n}^{3} + 7n - 5 \\ = 3 {n}^{3} + 4 {n}^{2} + 7n - 14[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

The volume of the box would be 6x³+33x²+54x+27.

Step-by-step explanation:

The new dimensions of the box would be (x+3), (2x+3), and (3x+3). Since the volume of a rectangular prism are calculated by multiplying the length, width, and depth, we can just multiply all three of these dimensions together to come up with the answer.

Using foil on the first two terms originally you get (x+3)×(2x+3)= 2x²+3x+6x+9 which can be simplified to 2x²+9x+9.

Then you multiply this equation by (3x+3). (2x²+9x+9)×(3x+3)= 6x³+6x²+27x²+27x+27x+27 which can be simplified to 6x³+33x²+54x+27.

Answer:

6x³+33x²+54x+27

Step-by-step explanation:

dimensions are now:

x+3, 2x+3, 3x+3

Volume

Answer:

x=11/31

Step-by-step explanation:

HMU if u need the work shown

Answer:

The value of [tex]j[/tex]:

[tex]j = -56[/tex]

Step-by-step explanation:

Solve for [tex]j[/tex]:

[tex]\frac{j + 42}{-7} = 2[/tex]

-Multiply both sides by -7:

[tex]j + 42 = 2 ( -7)[/tex]

[tex]j + 42 = -14[/tex]

-Subtract both sides by 42:

[tex]j + 42 - 42 = -14 - 42[/tex]

[tex]j = -56[/tex]

So, therefore, [tex]x = -56[/tex] would be the final answer.

Answer:

j = -47

Step-by-step explanation:

I think you meant  j + 42 - 2 = -7

So what I would do is first find the two number we know which would be

42 - 2 = 40

So, then the equation comes down to j + 40 = -7

So,

j = -47

Because = -47 + 40 = -7

Have a good day. :)

Hope this helps!

(brainliest would be appreciated)

Answer:

Area = l x w

Area = (x + 1)(x + 7)

Area = x² + 7x + x + 7

Area = x² + 8x + 7

Step-by-step explanation:

Answer:

10.5 cm

Step-by-step explanation:

Multiply the ratios by x

3x : 8x: 7x

Add the sides together

3x+8x+7x to get the perimeter

18x = 63

Divide each side by 18

18x/18 = 63/18

x =3.5

The shorter side is 3x

3*3.5=10.5 cm

Answer:

C. j + 6

Step-by-step explanation:

2(2j + 3) - 3j

multiply each term in the parentheses by 2

2 x 2j + 2 x 3

calculate the product

4j + 6 -3j

collect like terms by subtracting their coefficients

(4 - 3)j

then subtract the numbers

1j

when the term has a coefficient of 1, it doesn't have to be written

j

then plug in the other number and that's your answer

j + 6

Answer:

Step-by-step explanation:

C. j + 6

Hope this helps!! :)