a. find the surface area of the rectangular prism

b. find the volume.


a. find the volume of the prism

b. find the surface area of the prism.

Answer:

1.31 miles of the race course are uphill

Step-by-step explanation:

Divide 5 × 26.2 miles by 100 and you'll get 1.31 miles.

Hope this helped :)

Answer:

x/y.

Step-by-step explanation:

Deal with each number or letter at a time:

3 / 3 = 1

x^3/x^2 = x

y^4 / y^5 =  y^-1 = 1/y

z / z = 1

So the answer is  1*x * 1/y * 1

= x/y.

Answer:

He ran .7 miles without a cramp

Step-by-step explanation:

Answer:

ant sorry you no entendía

The ratio X/Y for the fictitious company, Teslala, that produces a single type of electronic vehicle, Model Z is 10/pY.

A mathematical model is the model which is used to explain the any system, the effect of the components by study and estimate the functions of systems.

Consider a fictitious company, Teslala, that produces a single type of electronic vehicle, Model Z.

The demand for Model Z depends on the gasoline price (q) because customers tend to purchase an electronic vehicle as a substitute for vehicles that run on gasoline when the gasoline price increases.

The demand for Model Z is estimated as

[tex]D(p) = 180 + 10q - 4p[/tex]

Here, p is the price of Model Z.

Consider the following two statements:

[tex]D(p) = 180 + 10q - 4p\\D(p) = 180 + 10(q+1) - 4(p+X)[/tex]

[tex]D(p)+Y = 180 + 10q - 4p\\(D(p)+Y) = 180 + 10(q+1) - 4(p+X)\\Y= 180 + 10(q+1) - 4(p+X)-D(p)\\[/tex]

Put the value of demand at the revenue-maximizing price as,

[tex]Y= 180 + 10(q+1) - 4(p+X)-(180 + 10q - 4p)\\Y= 180 + 10q+10 - 4p-pX-180 - 10q + 4p\\Y= 10 -pX\\1=\dfrac{10}{Y}-\dfrac{pX}{Y}\\\dfrac{10}{Y}=\dfrac{pX}{Y}\\\dfrac{10}{pY}=\dfrac{X}{Y}[/tex]

Thus, the ratio X/Y for the fictitious company, Teslala, that produces a single type of electronic vehicle, Model Z is 10/pY.

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Answer:

[tex] \boxed{\rm \: Slope = 3/7 \: x}[/tex]

Step-by-step explanation:

Given :

To Find:

Solution:

Well,to find out the slope of the line here, we'll need to re-write the fully solved equation into slope - intercept form.

[tex] \boxed{ \rm \: y = mx = b}[/tex]

Here,

[Add 3x to both sides to the original equation:]

Divide each term in this equation by 7:

Now rewrite this equation into slope-intercept form.

Plug values.

Hence,we can conclude:

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

The width of the path when the length of the outer rectangle is 26+2x and width of it is 18+2x is 4 meters.

Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,

A=a×b

Here, (a)is the length of the rectangle and (b) is the width of the rectangle

The length of the outer rectangle is 26+2x and width of it is 18+2x. The area of this rectangle is 884² m. Thus,

A=a×b

884=(26+2x)×(18+2x)

884=468+52x+36x+4x²

4x²+88x-416=0

Divide both side with 4,

x²+22x-104=0

x²+26x-4x-104=0

x(x+26)-4(x+26)=0

(x+26)(x-4)=0

x=-26,4

Take the positive value 4. The width of the path is equal to x which is 4 meters.

Hence, the width of the path when the length of the outer rectangle is 26+2x and width of it is 18+2x is 4 meters.

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Answer:

Your answer is A.

Step-by-step explanation:

Absolute values of any number are positive.

|4| = 2

|-2| = 2

2 = 2 and 4 > -2

C and D can be true, but they are not since less than or greater than doesn't apply if they were less than/greater than or equal, then yes.

Answer:

  5.27×10^5 gallons

Step-by-step explanation:

Adding numbers in scientific notation requires that their powers of ten match. Here, we can rewrite the smaller number so its power of ten matches that of the larger number.

__

  4.6×10^5 +6.7×10^4

  = 4.6×10^5 + 0.67×10^5

  = 5.27×10^5

The park will use 5.27×10^5 gallons of water after the new ride is installed.

__

This kind of calculation can be done easily by your scientific calculator or a spreadsheet. You may have to set the display mode to scientific notation.

Answer:

hope this will help you sorry if the answer is wrong

Answer:

It would be a 3/10 or 30% chance.

Answer:

Step-by-step explanation:

3/10 or .30 or30%

Answer:

  a = 60, b = 19, c = 101, d = 79, e = 50

Step-by-step explanation:

Relations that are helpful here are ...

__

Using these relations, we can find the unknown measures.

 a° = 60° . . . . . these are vertical angles

  51° +b° +110° = 180°   ⇒   b° = 180° -161° = 19° . . . . straight angle

  a° +b° +c° = 180°

  c° = 180° -60° -19° = 101° . . . . sum of angles in a triangle

  d° = 180° -101° = 79° . . . . . straight angle

 e° = c° -51° = 50° . . . . . c° is exterior to the triangle

The solutions to the equation -2x² + y = -5 and y=-3x² +5 are  (√2,-1) and (-√2-1) option third is correct.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

We have given expressions:

-2x² + y = -5 ..(1)

y=-3x² +5 ...(2)

From the equation (2) take the value of y and plug it in the equation (1)

-2x²-3x²+5 = -5

-5x² = -10

x = ±√2

Plug this value in the equation (2), we get value of y:

y = -1

Thus, the solutions to the equation -2x² + y = -5 and y=-3x² +5 are  (√2,-1) and (-√2-1) option third is correct.

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For reference you can look at the attachment

Then converted them accordingly

#1(Graph 2)

#2(Blue dots on graph 1)

They are similar but not equal

#3(Purple dots)

Similar but not equal

#4(Green dots)

#5(Black dots)

There is no variable unfortunately

We have to change question little bit

#1

#2

Rest are also meaningless as there is no variable

#3

Answer:

3x- 2y

Step-by-step explanation:

its defintly not = to four because you cant subtract two diffrent varibles so it should be less then

Answer:

False.

Explanation:

To rationalize a denominator that has more than one term, you multiply the fraction by [tex]\frac{b}{b}[/tex], where "b" is the conjugate of the denominator not the numerator.

false

you multiply both the denominator and the numerator not just the fraction.

Answer:

A model of a shopping centre is drawn to scale where 1 cm on the model represent 4 m on the ground. Music shop Thabo's Sports Ware Fati's Clothing shop Grocery store PARKING Coffee shop Toilets Restaurant Shoe store Physiotherapy Health and Fitness center 1.1 Which shop is on the right of the physiotherapy? (2) 1.2 Describe the position of the Coffee Shop in relation to the Toilets. (2)

Answer:

  x = 6

Step-by-step explanation:

A 45-45-90 isosceles right triangle has side lengths in the ratios ...

  1 : 1 : √2

__

That is, the longest side (marked x in this figure) is √2 times the length of the other two equal-length sides.

  x = (√2)×3√2 = 3×2

  x = 6

Answer:

300(1 + 0.04/2)3(2) = $337.85

Step-by-step explanation:

Step-by-step explanation:

try this option, note: 1) task 'd' is solved only; 2) the answer is marked with green colour.

A king gives 1 inch per day to the knight as there are three pieces of length 1, 2, and 3 inches.

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

A king decided to pay a knight one inch of gold for each day's protection on a 6-day trip. The king took a gold bar 6 inches long and paid the knight at the end of each day.

The gold is divided into 2 parts.

First at the 1-inch mark, then the second mark will be

For the second mark, there are two conditions.

Condition 1 = mark can be made at 4 inches, then the next piece will be of 2 inches.

There will be a total of three pieces of 3 inches, 1 inch, and 2 inches.

Condition 2 = Mark can be made at 5 inches, then the next piece will be of 1 inch.

There will be a total of three pieces of 3 inches, 1 inch, and 2 inches.

The division is shown below.

The king will take 1 inch back from the knight and give him 2 inches.

According to the condition = A king gives 1 inch per day to the knight as there are three pieces of length 1, 2, and 3 inches.

So on the first day, 1 inch will be given. On the second day, he will give 2 inches and take 1 inch. On the third day, he will give 3 inches and take back 2 inches. On the fourth day, he will give 1 inch. On the fifth day, he will give 2 inches and take back 1 inch. On the sixth day, he will give 1 inch.

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We need to calculate the value of cos(43) to determine the value of p

The equation is given as:

cos43 = p

Rewrite properly as:

cos(43) = p

Rewrite the equation as:

p = cos(43)

The above means that we simply calculate the value of cos(43) to determine the value of p

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Answer:

Two equal sides: 15 centimeters, Third side: 21 centimeters

Step-by-step explanation:

Sorry If I'm late, so how I solved this was by using variables and algebra. The perimeter of a triangle is the sum of all three sides. Let's now break down the problem and use the useful information, we know that the perimeter is 51 centimeters, and that there are two equal sides and the third side is 6 inches longer than the two equal sides. So it is pretty much an isosceles triangle since it has two sides of equal length and the third side is not equal to the others. So we can make an equation with variables. 51(Perimeter)=x(first equal side)+x(second equal side)+x(third side)+6(The third side is 6 centimeters longer than the two other sides), now we simplify the equation just like we do with most algebraic equations. x+x+x can be turned into 3x. This now makes the equation 51=3x+6, we can subtract 6 from both sides to just have the variable on one side, 3x+6-6, both sixes cross out making it 3x, 51-6 is equal to 45. Now we divide by three on both sides to give just x and find out what x is. 3x/3=x and 45/3=15. x=15, x is the equal side length, so the two equal sides are 15 centimeters and the third one is 21 centimeters. The reason for this is because 15+6=21. I hope this helped with your learning, if I am wrong please tell me :)

Answer: Heyaa! :)

Slope:  −1

y-intercept: (0,−3)

Slope: 4

y-intercept: (0,−5)

Slope: 2

y-intercept: (0,2)

Slope: −1

y-intercept: (0,4)

Slope: −3/4

y-intercept:

(0,−3)

Hopefully this helps you!

- Matthew