Find the total surface area of this triangular prism.
17 cm
8 cm
2 cm
15 cm

Answer:

495

Step-by-step explanation:

165/3=495/9

So 495 miles

Answer:

495

Step-by-step explanation:

 3        =     9

165             x

9 x 165 = 1485

1485 / 3 = 495

How to Find the Mean. The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

Median

Arrange your numbers in numerical order.

Count how many numbers you have. If you have an odd number, divide by 2 and round up to get the position of the median number.

If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.

To find the mode, or modal value, it is best to put the numbers in order. Then count how many of each number. A number that appears most often is the mode.

Answer: I think its $18.00

Step-by-step explanation:

0.9*25-4.5= 18

Answer:

Equation of a line that passes through the point ( 6,-3 ) and is parallel to the graph of y = 3x + 1 is [tex]\mathbf{y=3x-21}[/tex]

Step-by-step explanation:

We need to write equation of a line that passes through the point ( 6,-3 ) and is parallel to the graph of y = 3x + 1

The equation will be in slope-intercept form i.e [tex]y=mx+b[/tex] where m is slope and b is y-intercept.

Finding Slope

Since the lines are parallel to each other, their slopes will be equal.

Slope of given line: y = 3x + 1 is 3 (Compare it with general equation [tex]y=mx+b[/tex] we get m = 3)

So, slope of required line is: m=3

Finding y-intercept

Using the point (6,-3) and slope m = 3 we can find y-intercept by using the formula:

[tex]y=mx+b\\-3=3(6)+b\\-3=18+b\\b=-3-18\\b=-21[/tex]

So, we get y-intercept: b= -21

Equation of required line

The equation of required line having slope m=3 and y-intercept b = -21 is:[tex]y=mx+b\\y=3x-21[/tex]

So, equation of a line that passes through the point ( 6,-3 ) and is parallel to the graph of y = 3x + 1 is [tex]\mathbf{y=3x-21}[/tex]

Answer:

domain:(-3,0,3),range:(0,3)

The domain and range of the coordinate points (- 3, 3), (0, 0), and (3, 3)

are b. domain: {-3, 0, 3}, range: {0, 3}

Suppose we have an ordered pair (x, y) then the domain of the function is the set of values of x and the range is the set of values of y for which x  is defined.

Given, A set of domains and ranges in roaster form the points(x, y) are

are at (- 3, 3), (0, 0), and (3, 3).

Now we know the domain is the set of all x values.

∴ domain {- 3, 0, 3}.

The range of the set are the set of all y values they are,

{0, 3} and co-domain is {3, 0, 3}.

learn more about the domain and range a function here :

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Answer:

(-12)²=(-12×-12)=144

Answer: 144

Step-by-step explanation:

(-12)^2

= -12(-12)

= 12(12)

= 144

Answer:

Step-by-step explanation:

185416

Answer:

185,416 this is the answerr

9514 1404 393

Answer:

Step-by-step explanation:

The price difference is found by subtracting Emma's price from DeShawn's price. Each price is the product of the number of square feet and the price per square foot.

The number of square feet is already given in the answer form, so you only need to fill in the per square foot prices. Those are found in the table. Both the window name and the window area give clues as to which is the right price to choose.

The expression is (4² × 33) - (3² × 27).

__

For the second fill-in, you need to actually do this arithmetic. For many calculators, you can enter this expression directly.

DeShawn paid $285 more for his window than Emma.

Answer:

3/2

Step-by-step explanation:

slope is rise over run

or y change divided by x change

to find the slope you need to find points on the graph that meet exact points on the graph

i see (0,0) and (4,6)

to find slope without graph it would be (y2-y1)/(x2-x1)

in this case (6-0)/(4-0)

=6/4

=3/2

=1  1/2

with graph you can count that it goes up 3 squares while moving two squares to the right

3/2

hope this helps

Answer:

Erm

Step-by-step explanation:

Answer:

i think its B

Step-by-step explanation:

hope this helps

Answer:

D. x=4 and x=6 (A P E X)

Answer:

14.9

if you need it

side a is 24.04867

9514 1404 393

Answer:

  c ≈ 14.9 cm

Step-by-step explanation:

I personally like to use a proportion that has the unknown in the numerator. The angle opposite c is ...

  C = 180° -150° -12° = 18°

Then the law of sines tells us ...

  c/sin(C) = b/sin(B)

  c = sin(C)·b/sin(B) = sin(18°)/sin(12°)(10 cm)

  c ≈ 14.9 cm

Answer:

2400

Step-by-step explanation:

half of 4800 is 2400

Answer:

Step-by-step explanation:

First we need to cross multiply ok?

[tex]100 times x=4800times50[/tex]

[tex]100x=240000[/tex]

Divide 100 both sides

[tex]x=2400[/tex]

Hence your answer is 2400, hope this helps :)

Answer:

d = 780

Step-by-step explanation:

Remark

You can do this with a proportion which will save you figuring out the rate. I'll do it both ways

Proportion

480/8 = x / 13            Cross Multiply

8*x = 13*480

8x = 6240

x = 780 miles

======================

Remark

Often times we like questions to follow a formula. Here's the formula method.

Formula

d = r * t

Givens

t = 8 hours

d = 480miles

r = ?

480 = r * 8            

480 / 8 = r

r = 60

Second part

r = 60 miles per hour

t = 13 hours

d = ?

d = 60*13

d = 780 miles

Answer:

$115.2

Step-by-step explanation:

Step one:

Given data

A store used to sell an MP3 for $72 and we are told that this 50% of the wholesale price.

Therefore the wholesale price is

72*2= $144

Required:

The special sales cost at 20% discount

Step two:

We are told that the special sale is at a 20% discount on the wholesale

= 20/100*144

=0.2*144

=$28.8

Therefore the special sales price is

= 144-28.8

=$115.2

Answer:

X= 10, 20, 30, 40, 50, 60

Step-by-step explanation:thats

thats all i know

Answer:

Bryan and Yuan will meet after 5 hours, having traveled 20 miles each.

Step-by-step explanation:

Given that Bryan and Yuan left their homes at different periods of time and at different speeds, to determine how long they will meet and how much distance they will have traveled, the following calculation must be performed:

B = 5 + (3X)

Y = 4X

B = 5 + 3x2 = 11

Y = 4x2 = 8

B = 5 + 3x3 = 14

Y = 4x3 = 12

B = 5 + 3x4 = 17

Y = 4x4 = 16

B = 5 + 3x5 = 20

Y = 4x5 = 20

Therefore, Bryan and Yuan will meet after 5 hours, having traveled 20 miles each.

Answer:

B

Step-by-step explanation:

Step-by-step explanation:

Factor Theorem:

"If a is a root of a polynomial, (x - a) is a zero of the polynomial."

Therefore by Factor Theorem,

we have (x - 1)(x + 3) = x² + 2x - 3.

Answer: The mass of the sun is 3.51 x 10^3 times greater.

Step-by-step explanation:

X= Mass of Sun/ Mass of Saturn

X= 1.998 x 10^30 / 5.69 x 10^26

1.998/ 5.69 = .351

10^30 / 10^26 = 10^4

You want to move the decimal a value so you would subtract 1 from 4

3.51 x 10^3

The mass of the Sun is 3.511 × 10³ (in scientific notation) times more than the mass of Saturn.

The division means the separation of something into different parts, sharing of something among different people, places, etc.

The sun’s mass is [tex]1.998 * 10^{30}[/tex] kg.

Saturn's mass is [tex]5.69 * 10^{26}[/tex] kg.

Let the mass of the Sun be X times more than the mass of the Saturn mass.

The equation that can be written as

1.998 × 10³⁰ = X × 5.69 × 10²⁶

On simplifying, the value f X will be

[tex]\rm X = \dfrac{1.998 * 10^{30}}{5.69*10^{26}}\\\\X = 3511.42 \\\\X = 3.511 * 10^3[/tex]

The mass of the Sun is 3.511 × 10³ (in scientific notation) times more than the mass of Saturn.

More about the division link is given below.

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Answer:

option 1

Step-by-step explanation:

Combine like terms

[tex]1 + 4.25n + \frac{3}{2}p - 3 + (-2p) + \frac{5}{4}n=1 - 3 + 4.25n +\frac{5}{4}n+\frac{3}{2}p+(-2p)\\[/tex]

                                                   [tex]= -2 + 4.25n + 1.25n + \frac{3}{2}p-\frac{2*2}{1*2}p\\\\= - 2 + 5.5n +\frac{3}{2}p+\frac{4}{2}p\\\\= -2 + 5.5n +\frac{3-4}{2}p\\\\= - 2 + 5.5n -\frac{1}{2}p\\\\= 5.5n - \frac{1}{2}p - 2[/tex]

Answer:

Step-by-step explanation:

First line is filling at 4 barrels a minute and has already filled 12

Second line is filling at 10 barrels a minute.

Assume the time taken to be equal is x:

12 + 4x = 10x

12 = 10x - 4x

6x = 12

x = 12/6

x = 2 minutes

Each barrel would have filled:

= 10x

= 10 * 2

= 20 barrels

Answer:

99

Step-by-step explanation:

The mean = 90 days

standard deviation = 20 days

P(Z < z) = 68 %

getting the value of z-score from the standard normal table of 0.68

z = 0.47

P(Z < 0.47) = 0.47 * 20 + 90 = 99

Answer:

4

Step-by-step explanation:

(?*11)-10=34

(?*11)=34+10

(?*11)=44

44/11= 4

Answer:

Terms = 4b , 7b , 5

coefficient = 4 , 7

constant = 5

Step-by-step explanation:

Please look at this picture because inside there have explain about your questions,,,and hope you understand ☺️

Answer:

$333

Step-by-step explanation:

As, the total hours Eleanor works = 37

And per hour he gets = $9

So the total wage her gets = $9 x 37

= $333

Answer:

Step-by-step explanation:

The value of sinx=c/b, cosx=a/b and tanx=c/a.

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

Given that, a right triangle has side lengths a, b, and c.

We know that, sinθ=Perpendicular/Hypotenuse, cosθ=Base/Hypotenuse and tanθ=Perpendicular/Bse

From the figure,

sinx=c/b, cosx=a/b and tanx=c/a

Therefore, the value of sinx=c/b, cosx=a/b and tanx=c/a.

Learn more about the trigonometric ratios here:

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Answer:

360 for first place and 240 for second

Step-by-step explanation:

Let's say f is the first place prize, and s is the second prize.

Amaal: 4f + 2s = 1920

Brian: f + 3s = 1080

Now we can isolate and substitute.

f = 1080 - 3s

4(1080 - 3s) + 2s = 1920

4320 - 12s + 2s = 1920

10s = 4320 - 1920

10s = 2400

s = 240

f = 1080 - 3*240

 = 1080 - 720

 = 360