The perimeter of the rectangle below is 94 units. Find the value of x.

Answers

Answer 1

Answer:

The value of x = 9 units

Step-by-step explanation:

The complete question is attached to this solution.

The perimeter of a rectangle is given as

P = 2 (L + B)

L = Length of the rectangle = 3x - 1

B = Breadth of the rectangle = 2x + 3

P = Perimeter of the rectangle = 94 units

94 = 2 [(3x - 1) + (2x + 3)]

3x - 1 + 2x + 3 = (94/2) = 47

5x + 2 = 47

5x = 47 - 2 = 45

5x = 45

x = (45/5) = 9 units

Hope this Helps!!!

The Perimeter Of The Rectangle Below Is 94 Units. Find The Value Of X.

Related Questions

If P = 3x2 – x + 2 and Q = x2 + 5x – 6, then P + Q = Question 3 options: A) 4x2 + 4x + 4 B) 4x2 – 4x – 4 C) 4x2 – 4x + 4 D) 4x2 + 4x – 4

Answers

Answer:

D) 4x2+4x=4

Step-by-step explanation:

3x2+x2=4x2

-x+5x=+4x

2-6=-4

Combine them for 4x2+4x-4

The correct expression will be 4x²+4x-4

What is expression?

Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given are two expression:- P = 3x²-x+2 and Q = x²+5x-6

On adding the given expressions, we get,

P+Q = 3x²-x+2+x²+5x-6

= 3x²+x²-x+5x+2-6

= 4x²+4x-4

Hence, P+Q = 4x²+4x-4

For more references on expression, click;

https://brainly.com/question/14083225

#SPJ2

what is the average rate of change of f over the interval [-3,9]

Answers

Answer:

According to the graph, f(−3)=3 and f(9)=-7

-7-3/9-(-3)= −10/12

Therefore the answer is -5/6

From Khan

The average rate of change over the interval [-3,9] will be 63 units per one unit change in y - value.

What is Polynomial? What are exponents? What is the general equation of a straight line? A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division.An exponent is a number that is placed as a superscript over a number. In other words, it indicates that the base is raised to a certain power. Tis expression means that -

        [tex]b^x = \underbrace{b \times \dots \times b}_{x \text{ times}}[/tex]

The general equation of a straight line is : y = mx + c

        where : [m] → is slope of line and [c] → is the y - intercept

We have the following function -

f(x) = x³ - 9

The average rate of change would be -

r = {720 - (- 36)}/{9 - (- 3)}

r = 756/12

r = 63

Therefore, the average rate of change over the interval [-3,9] will be 63 units per one unit change in y - value.

To solve more questions on exponents, visit the link below-

https://brainly.com/question/28966438

#SPJ2

[ Complete question -

what is the average rate of change of f(x) = x³ - 9 over the interval [-3,9] ]

Question 8 of 10
What is the value of X?
50°
100"
O.
A. 50°
B. 150°
ОО
C. 1000
D. 30°

Answers

Answer:

30 degrees

Step-by-step explanation:

100+50=150

180-150=30

All triangles equal 180 degrees, so if the other angles equal 150 than the third angle equals 30 degrees.

The temperature at noon is -4 degrees Celsius. The temperature at 6:00pm is -12 degrees Celsius. What is the difference between the noon and the 6:00pm temperatures?

Answers

Answer: -8 degrees

Step-by-step explanation: 12-4 is 8 so the difference is -8

please help attachment

Answers

Answer: 12 days

Step-by-step explanation: if the track is 2214.5 miles long and Miguel is doing 21.14 miles an hours for 9 hours a day we’d need to know how much he completes in a single day

He does 9 hours and in each hour he completes 21.14 miles. So in a whole day he will complete 190.26 miles.

He needs to finish 2214.5 miles and he only completes 190.26 miles per day. So we divide to find how many days it will take him. After dividing we get the answer of 12 days

Answer would be 12 :)

Please help me find x!!!!

Answers

Answer:

x = 56

Step-by-step explanation:

Well if both lines are straight that means that 118 is on both sides,

180 - 118 = 62

So angle E and F are both 62.

So we do 62 *2 = 124.

180 - 124 = 56

x = 56

Thus,

angle x is 56.

Hope this helps :)

X= 56
A line is 180 so do 180- 118 to find the angle same for the other side and from there you should be able to figure it out easy

Use the Venn diagram to list the elements of the set in the roster form

Answers

Answer:

Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!

Step-by-step explanation:

Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!

Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!

HELPPPImagine that as a ball is tossed, its motion is tracked on a coordinate plane. Given only a few of the points that the ball passes through, it is actually possible to determine the equation of the parabola that represents the ball’s path through the air. part a-Assume the ball passes through the points , , and . Use this data to set up a system of three equations and three unknowns (a, b, and c) that will allow you to find the equation of the parabola. Write the system in the space provided. part b-Use matrix manipulation to solve for a, b, and c. Set up a matrix equation for AX = B based on the system of equations you derived in part B where X is a matrix of the variables a, b, and c. Then, use Gauss-Jordan elimination to find the inverse of A. Finally, use your results to write the equation of the parabola. Show your work and final equation in the space provided. partc-Now that you have determined the equation of the parabola, assume that x represents the number of seconds that have passed since the ball was thrown and determine approximately how long it will take for the ball to hit the ground.

Answers

Answer:

(a, b, c) = (-1/3, 2, 5)y = (-1/3)x^2 +2x +57.90 seconds

Step-by-step explanation:

From your equations in Part A, we can write the matrix equation as ...

  [tex]\left[\begin{array}{ccc}9&3&1\\25&5&1\\36&6&1\end{array}\right] \cdot\left[\begin{array}{c}a&b&c\end{array}\right] = \left[\begin{array}{c}8&\frac{20}{3}&5\end{array}\right][/tex]

For the purpose of finding the inverse matrix (which we don't really need to do to solve this), it is convenient to use an augmented matrix that will give both the matrix inverse and the solution.

  [tex]\left[\begin{array}{ccc|ccc|c}9&3&1&1&0&0&8\\25&5&1&0&1&0&\frac{20}{3}\\36&6&1&0&0&1&5\end{array}\right][/tex]

For the first step in the solution, we'll divide the first row by 9, then subtract 25 times that from the second row, and 36 times that from the third row. The goal of this step is to make the first column be 1, 0, 0. The result is ...

  [tex]\left[\begin{array}{ccc|ccc|c}1&\frac{1}{3}&\frac{1}{9}&\frac{1}{9}&0&0&\frac{8}{9}\\0&-\frac{10}{3}&-\frac{16}{9}&-\frac{25}{9}&1&0&-\frac{140}{9}\\0&-6&-3&-4&0&1&-27\end{array}\right][/tex]

For the second step in the solution, we'll multiply the second row by -3/10, then subtract 1/3 times that from the first row and add 6 times that to the third row. The goal of this step is to make the second column be 0, 1, 0. The result is ...

  [tex]\left[\begin{array}{ccc|ccc|c}1&0&-\frac{1}{15}&-\frac{1}{6}&\frac{1}{10}&0&-\frac{2}{3}\\0&1&\frac{8}{15}&\frac{5}{6}&-\frac{3}{10}&0&\frac{14}{3}\\0&0&\frac{1}{5}&1&-\frac{9}{5}&1&1\end{array}\right][/tex]

For the third step in the solution, we'll multiply the third row by 5, then add 1/15 of that to the first row and -8/15 of that to the second row. The goal of this step is to make the third column be 0, 0, 1. The result is ...

  [tex]\left[\begin{array}{ccc|ccc|c}1&0&0&\frac{1}{6}&-\frac{1}{2}&\frac{1}{3}&-\frac{1}{3}\\0&1&0&-\frac{11}{6}&\frac{9}{2}&-\frac{8}{3}&2\\0&0&1&5&-9&5&5\end{array}\right][/tex]

The middle section of this augmented matrix is the inverse of the coefficient matrix:

  [tex]A^{-1}=\left[\begin{array}{ccc}\frac{1}{6}&-\frac{1}{2}&\frac{1}{3}\\-\frac{11}{6}&\frac{9}{2}&-\frac{8}{3}\\5&-9&5\end{array}\right][/tex]

The right section of the augmented matrix is the solution set:

  [tex]X=\left[\begin{array}{c}a\\b\\c\end{array}\right]=\left[\begin{array}{c}-\frac{1}{3}\\2\\5\end{array}\right][/tex]

__

The equation of the parabola is ...

  [tex]\boxed{y=-\dfrac{1}{3}x^2+2x+5}[/tex]

__

The ball will hit the ground when y=0. The values(s) of x can be found from the quadratic formula:

  x = (-b±√(b²-4ac))/(2a) = (-2±√(2²-4(-1/3)(5)))/(2(-1/3))

  x = (2 ± √(32/3))/(2/3) = 3±√24 = {-1.899, 7.899}

It will take about 7.90 seconds for the ball to hit the ground.

Create the smallest cone possible with the tool and record the values of the radius height and volume in terms of pi then scale the original cone by the given factors and record the resuling volumes

Answers

Answer:

PLATO sample answer

Step-by-step explanation:

.

Answer:

Step-by-step explanation:

A bag contains 4 red marbles,
6 white marbles, and 5 blue
marbles. IT a blue marble was
removed from the bag and not
replaced, what is the probability
of then selecting a red marble?

Answers

Step-by-step explanation:

4+6+5=15

15-1=14

2/14

1/7

Answer:

[tex]\boxed{\frac{2}{7}}[/tex]

Step-by-step explanation:

Part 1: Finding out total number of marbles

To start, we need to find out how many marbles are in the bag.

[tex]4 + 6 + 5 = 15[/tex] marbles

Part 2: Removing blue marble and finding probability

After removing the blue marble and not replacing it, we can then infer that we have 14 marbles remaining.

If we have 4 red marbles in the bag, simply find the ratio of red marbles to the total marbles.

[tex]\frac{4}{14} = \boxed{\frac{2}{7}}[/tex] or a 28.57% chance of occurrence.

David performed the following mathematical operation:
3x+4
x-1)3x +x-4
He was left with a remainder of zero. Which of the following statements must
be true?

Answers

Answer:

B. 1 must be a root of the polynomial 3x^2+x-4

Step-by-step explanation:

Given polynomial

3x^2+x-4

Divided by factor x-1

Gives a remainder of 0

Remainder 0 represents that divisor (x-1) is a factor polynomial 3x^2+x-4

If x-1 is a factor of the polynomial, we can equate x-1 to 0

x-1=0

Solve for x to get one of the roots

x-1=0

Add 1 to both sides

x-1+1=0+1

x=1

B. 1 must be a root of the polynomial 3x^2+x-4

Algebra 1!!
x=2y and 2x+3y=21
-solve the given system of equations by substitution
answers-
a. x=6, y=-3
b. x=6, y=3
c. x=3, y=3
d. x=3, y=6

Answers

Answer:

[tex]\huge\boxed{b.\ x=6;\ y=3}[/tex]

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}x=2y&(1)\\2x+3y=21&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\2(2y)+3y=21\\4y+3y=21\qquad\text{combine like terms}\\7y=21\qquad\text{divide both sides by 7}\\\dfrac{7y}{7}=\dfrac{21}{7}\\\boxed{y=3}\\\\\text{Substitute it to (1):}\\x=2(3)\\\boxed{x=6}[/tex]

Answer: (6, 3)

Explanation: Our first equation tells us that x means the same thing as 2y so we can replace the x in the second equation with a 2y.

Our second equation then becomes 2(2y) + 3y = 21.

If we simplify on the left side we get

4y + 3y = 21 which simplifies to 7y = 21.

Solving from here, we find that y = 3.

To find x, plug 3 back in for y in the first equation

to get x = 2(3) which simplifies to x = 6.

So our answer is (6, 3).

What is the median of the following numbers? 1,2,10,6,4,4,6,3,1,4

Answers

Answer

Answer= 4

Step-by-step explanation:

The answer is 4 because for the median you have to put the numbers from smallest to largest.

When you have done that you have to find the middle number which in this case is 4.

Hope that helps you

Median

1. Order data from least to greatest

2. Find the center of the data set

If there is no distinct center to your data,

find the mean of the two middle numbers.

1, 1, 2, 3, 4, 4, 4, 6, 6, 10

Since there is the two middle numbers are the same,

the median will be the number that appears two times.

In this case, the median is 4.

please help me. Need answer asap.

Answers

Answer:

x=11.2

Step-by-step explanation:

Add the equations.

-10y=40

y=-4

input y

5x-8=48

5x=56

x=56/5

x=11.2

Answer:

x = 11.2 and y = -4

Step-by-step explanation:

Add the two equations

-5x -12y = -8

5x+2y = 48

-------------------

-10y = 40

Divide by -10

-10y/10 = 40/-10

y = -4

5x+2y = 48

5x +2(-4) = 48

5x -8 = 48

Add 8 to each side

5x = 56

Divide by 5

5x/5 = 56/5

x = 56/5

x =11.2

What additional information must be known to prove the triangles similar by SSS? options: A) ∠F ≅ ∠Q B) No additional information is needed. C) The lengths of and D) ∠F ≅ ∠D

Answers

Answer:

Option A)     [tex]\angle F\\[/tex] congruent with  [tex]\angle Q[/tex]

Step-by-step explanation:

There is only information about two sides in each triangle, so there is still the need of a third piece of info which can come from an angle like [tex]\angle F\\[/tex] congruent with  [tex]\angle Q[/tex], which are angles opposite to one of the given sides on each triangle.

Triangle A"B"C" is formed using the translation (x + 2 y + 0) and the dilation by a scale factor of from the origin. Which equation explains the relationship between AB and A"B"?


Answers

Answer:

segment a double prime b double prime = segment ab over 2

Step-by-step explanation:

Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. which equation explains the relationship between segment ab and segment a double prime b double prime?

coordinate plane with triangle ABC at A (- 3,  3), B (1, - 3), and C (- 3, -3).

segment a double prime b double prime = segment ab over 2

segment ab = segment a double prime b double prime over 2

segment ab over segment a double prime b double prime = one half

segment a double prime b double prime over segment ab = 2

Answer:  If triangle ABC at A (- 3,  3), B (1, - 3), and c (- 3, -3) is translated using   (x + 2, y + 0), then the new coordinates of triangle ABC would be at A'(- 3 + 2,  3), B'(1 + 2, - 3), and C'(- 3 + 2, -3) Which is A'(- 1,  3), B'(3, - 3), and C'(- 1, -3). The dilation by a scale factor of from the origin gives A″ (-1/2, 3/2), B″ (3/2, -3/2) and C″(-1/2, -3/2) = (-0.5, 1.5), B″ (1.5, -1.5) and C″(-0.5, -1.5)

The distance AB and A"B" are given as:

[tex]AB=\sqrt{(1-(-3))^2+(-3-3)^2} =\sqrt{5 2} \\\\A"B"=\sqrt{(1.5-(-0.5))^2+(-1.5-1.5)^2} =\sqrt{13}[/tex]

AB = √52 = √(4×52) = 2√13 = 2A"B"

A"B" = AB/2

Answer:

What The Other Guy Said Was Correct

Step-by-step explanation:

2 + 2 = 4

PLEASE HELPPPP Wilson is thinking about buying a house for $249,000. The table below shows the projected value of two different houses for three years. Number of years 1 2 3 House 1 (value in dollars) 253,980 259,059.60 264,240.79 House 2 (value in dollars) 256,000 263,000 270,000 Part A: What type of function, linear or exponential, can be used to describe the value of each of the houses after a fixed number of years? Explain your answer. (2 points) Part B: Write one function for each house to describe the value of the house f(x), in dollars, after x years. (4 points) Part C: Wilson wants to purchase a house that would have the greatest value in 45 years. Will there be any significant difference in the value of either house after 45 years? Explain your answer, and show the value of each house after 45 years. (4 points) (10 points)

Answers

Part A

House 1: we make exponential can be used to describe the

value of house 1. After 1 year, 253480 = 249000 x 1.02

After 2 years, 259059.6 = 25398×1.02. After 3 years 264240.79 =259059.60x1.02.

House 1: we make linear. 256000=249000 + 1000.263000 = 256000 +7000.270000=263000 + 1000.

Part B.

House 1: f(x)=249000 1.02x [genometic sequence]

House 2: f(X) = 24900 + 1000x [arithmetic progression]

Part C

House 1: f(45)=249000×1.02 45 = 607025.697

House 2: f(45) = 249000 +7000x45 = 564000

"House 1 is an arithmetic sequence that increases in price each year while House 2 is an arithmetic sequence that only increases by 1000 per year.

What are word problems in mathematics?

In computational mathematics, a word problem is a problem of deciding whether two given expressions are equivalent with respect to a set of rewriting identities. A prototypical example is the word problem for groups, but there are many other instances as well.

Learn more about word problems at https://brainly.com/question/13818690

#SPJ2

What is the difference between a Rate and a Ratio? Explain

Answers

Answer:

The difference is that a rate is a comparison of two numbers with different units, whereas a ratio compares two numbers with the same unit. For example, in a room full of students, there are 10 boys and 5 girls.

On a trip, a car traveled 80 miles in an hour and a half, then was stopped in traffic for 30 minutes, then traveled 100 miles during the next 2 hours. What was the car's average speed in miles per hour for the 4-hour trip?

Answers

Answer:

45 mph

Step-by-step explanation:

pls help me if you can

Answers

Answer:

v=lwh

Step-by-step explanation:

which is length×width×height.

Brad wants to open a new savings account. He finds one that returns 3% on his investment each year.
Question 1
Assign a variable to each of the following płeces of information:
• final balance
• initial investment
• return rate
use the variable to write a formula for the final balance after 2 years

Answers

Answer:

1.03x

Step-by-step explanation:

1 year b would be the inital investment added with interest

i believe this is the equation

b = x + r(x)= (1 + r)x

and since it says 3% each year we know its 0.03 (r)

and when you solve it out you get that answer

1.03 I got as my answer i’m not sure tho

Graph the image of this figure after a dilation with a scale factor of 2 centered at the origin.
Use the polygon tool to graph the dilated figure.

Answers

Answer:

(2,4), (6,4), (2,-2), (6,-2)

Step-by-step explanation:

To dilate a figure multiply 2(x,y)

2(1,2)  = (2,4)

2(3,2) = (6,4)

2(1,-1) = (2,-2)

2(3,-1) = (6,-2)

Hope this helps!   Ξ

Evaluate the following: −3 − (−2). (5 points) a. -5 B. -1 c. 1 d. -6

Answers

Answer:

B:-1

Step-by-step explanation:

-3-(-2)=-3+2=-1

Answer:

-1

Step-by-step explanation:

[tex] - 3 - ( - 2)[/tex]

When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression

[tex] - 3 + 2[/tex]

Here, 3 > 2 , So, we have to enter the sign of 3 which is negative.

Calculate:

[tex] - 1[/tex]

Some rules:

[tex]( + ) \times ( + ) = ( + )[/tex]

[tex]( + ) \times ( - ) = ( - )[/tex]

[tex]( - ) \times ( - ) = ( + )[/tex]

[tex]( - ) \times ( + ) = ( - )[/tex]

Hope this helps..

Find the critical numbers for f(x)=cos(x)+sin^2(x) on the interval [0,2pi]

Answers

Answer:

Step-by-step explanation:

Rad [0,2[tex]\pi[/tex]]

f(x)=cos(x)+sin²(x)=cos(x)+1-cos²(x)

--[cos(x)-1/2]²+5/4=f(x)

when cos(x)=1/2,the f(x) has Max=5/4

cos(x)=1/2,x=[tex]\pi[/tex]/3(Rad) or 60°(Deg)

HELP! pleaseeee!!!!!!

Answers

Answer:

1,2, and 4.

Step-by-step explanation:

Hi there! I know that i am kind of late, but the answer on Edge 2020 are options 1,2, and 4. I hope this helps, have a great rest of your day :D

From the figure the correct options are ΔABC ~ ΔDEC, ∠B ≅ ∠E, 3DE = 2AB.

Given that a right triangle ΔABC is being dilated by a scale factor of 2/3 and reflected over the side AC to form the ΔDEF.

Since we know that in reflection transformations the object are similar so we can conclude that ΔABC ~ ΔDEC.

Also, by the definition of similar triangles,

∠B ≅ ∠E, ∠A ≅ ∠D and ∠ACB ≅ ∠DCE.

Now since the scale factor is 2/3,

so,

2AB = 3DE

2BC = 3CE

2AC = 3DC

Hence the correct options are ΔABC ~ ΔDEC, ∠B ≅ ∠E, 3DE = 2AB.

Learn more about similar triangles, click;

https://brainly.com/question/29731302

#SPJ2

Three different divers kept track of the number of treasure boxes they've found this year. Diver Dives Treasure boxes found Scuba Sam 11 33 Wet Suit Willy 18 81 Deep Diving Dan 26 104 Which diver found the most treasures per dive?

Answers

Answer:

Wet Suit Willy found the most treasures per dive.

Step-by-step explanation:

Given:

Diver name         Number of dive    Number of boxes

Sam                                  11                        33

Wet Suit Willy                  18                        81

Deep Diving Dan            26                       104

Find:

Who found the most treasures per dive

Computation:

Sam's per dive collection = 33 / 11 = 3 boxes

Wet Suit Willy's per dive collection = 81 / 18 = 4.5 boxes

Deep Diving Dan's per dive collection = 104 / 26 = 4 boxes

Wet Suit Willy found the most treasures per dive.

Find an equation of the line: through the point (2, −4) with a y-intercept of −2. PLEASE HELP ONLY 20 MINS LEFT

Answers

Answer:

y = 3x -2

Step-by-step explanation:

y intercept means the point x = 0

need not be confused in that

we can get the two coordinates as

( 2, -4) and ( 0, -2)

gradient is difference of y/ difference of x

-2+-4/0-2

-6/-2 indeed its 3

so as y intercept is -2

c = -2

y = 3x - 2

Plz answer quickly!!!! Express the point on the number line as both a fraction and a decimal.

Answers

Answer:

3.22 or 161/50

Answer:

3.22 and 3 11/50/166/50

Step-by-step explanation:

The points in between 3.2 and 3.3 go 3.21, 3.22, 3.23, etc. So first we just write it as a decimal. Easy. Then we write it as a fraction. Writing it as a mixed number would just be 3 22/100 because .01*100 is 1. I simplified it and then converted it into an improper fraction. I hope this helped.

Proportions in similar triangles: Find the value of X.

If someone would be kind enough to explain how to do this :)

Answers

Answer:

Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication, and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Step-by-step explanation:

Name the prism in each case given that all lateral faces are rectangles and the bases are: Squares

Answers

Answer:

Rectangular Cuboid

Step-by-step explanation:

A rectangular cuboid has 4 faces that are rectangles and 2 faces that are squares.  Since a square is a rectangle, this shape is technically built of 6 rectangles and is creates a 3-dimensional shape.  Hence, we have the prism, rectangular cuboid.

It is rectangular Cuboid
Other Questions
Concerns over the Spanish treatment of what nation help lead to the Spanish-American War?A. CubaB. CanadaC. HawaiiD. Portugal On the day after my birthday this year, I can truthfully say: "The day after tomorrow is a Monday". On which day is my birthday? Berner Mining Company estimates that after it completes extraction of valuable metals from a tract of land, $245,000 will be necessary to return the land to its original condition. This cost is considered a(n) use the substitution method to solve the system of equations. Choose the correct ordered pair y=3x 2x+3y=55 Help me please, someone Pause at line 107. Thinkabout the information youhave learned so far. Go backand underline details youhave questions about.Help I need to graduate! -15-3c plz helpppppppppp What is the standard form of the equation for this circle?A (x-1)2-(y + 10) + 4 = 0B. (x - 1)2 - +10)2 = 2c. (x + 1)2 + (y- 1072 = 4D. (x-1)2-(y + 10) = Which is the graph of f(x) = -3x?pls answer quickly Which shapes can be made from a planar cross section of a triangular pyramid? More than one can be correct: trapezoid, pentagon, isosceles triangle, rectangle, hexagon, scalene triangle, square, decagon, or equilateral triangle Asia pacific and Japanese sales team from cloud kicks have requested separate report folders for each region.The VP of sales needs one place to find the reports and still wants to retain visibility of the reports in each folder. What should a consultant recommended to meet this requirement. Two uniform solid balls are rolling without slipping at a constant speed. Ball 1 has twice the diameter, half the mass, and one-third the speed of ball 2. The kinetic energy of ball 2 is 37.0 J. Part A What is the kinetic energy of ball 1? Express your answer with the appropriate units. K7 = Value Units Q3. Sketch the character of Shankar. (Read the Literature lesson 'The Station' andwrite) Why is it Important to identify the purpose of a plece of writing?to generate as many ideas as possible to include in the writingto understand the age and educational background of the audienceto consider what you want to accomplish with the writingto determine a topic that has a lot of Information to include Josephine is going on a run around the lake. She knows the distance around the lake, but she would like to complete her runin a certain amount of time. Josephine knows she can used the formula d = rt.Which equation correctly rearranges the formula to find the time it will take her to run around the lake?A. T= d/rB. T= r/dC. T=d + rD. T=d-r How many gallons each of 15% alcohol and 5% alcohol should be mixed to obtain 10 gal of 14% alcohol? How many gallons of 15% alcohol should be in the mixture? ____ gal Research each insect, then compare and contrast the life cycles. You will need to write your observations and thoughts down. Be sure to include and describe each stage of development. Your observations, descriptions, and thoughts should be at least 150 words in length.Incomplete Metamorphosis Complete Metamorphosisgrasshopper butterflydragonfly ladybugcicada houseflycockroach honeybee Two numbers are in the ratio of 3 to 4. If the minor is 27, find the sum of both. The mean amount spent by a family of four on food per month is $500 with a standard deviation of $75. Assuming that the food costs are normally distributed, what is the probability that a family spends less than $410 per month?