1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
marissa [1.9K]
3 years ago
5

rectangle with a perimeter of 1110 meters, this rectangular shape is 30 meters longer than 6 times its width. find its dimension

s
Mathematics
1 answer:
Alecsey [184]3 years ago
6 0

Answer:

The width of the rectangle is  75 meters and length is 480 meters.

Step-by-step explanation:

The perimeter of the rectangle = 1110 meters

Let the width of the rectangle = k meters

So,the length of the rectangle = 6k + 30

Now, PERIMETER OF A RECTANGLE = 2(LENGTH + WIDTH)

⇒ 1110 = 2( k + (6k + 30))

or, 1110 = 14 k + 60

or, 14 k = 1110 - 60 = 1050

⇒ k = 1050/14 = 75

Hence, the width of the rectangle is k =  75 meters

and the Length of the rectangle is 6k + 30 = 6(75) +30

= 480 meters

You might be interested in
Find x <br> Help me plz!!!
mariarad [96]

9514 1404 393

Answer:

  x = 8

Step-by-step explanation:

Assuming the figure is a parallelogram, the diagonals bisect each other. That means ...

  3x -11 = x +5

  2x = 16 . . . . . . . add 11-x to both sides

  x = 8 . . . . . . divide by 2

3 0
3 years ago
Read 2 more answers
Christov and Mateus gave out candy to children on Halloween. They each have out candy at a constant rate, and they both gave awa
padilas [110]

Answer: 1) Both gave same number of candies to each child.

2) Christov gave candy to a greater number of children.

Step-by-step explanation:

Since, Christov initially had 300 pieces of candy, and after he was visited by 17 children, he had 249 pieces left.

Let he gave x candy to each student when he visited 17 children.

Then, 17 x + 249 = 300

⇒ 17 x = 51

⇒ x = 3

Since, he distributes candies in a constant speed.

Therefore, his speed of distribution = 3 candies per child

Now,The function that shows the remaining number of candies Mateus has after distributing candies to n children,

C(n)=270 - 3 n

Initially, n = 0

C(0) = 270

⇒ Mateus has initial number of candies = 270

When he gave candies to one child then remaining candies = 270 - 3 × 1 = 267

Thus, the candies, get by a child from Mateus = 270 - 267 = 3

Since, he distributes candies in a constant speed.

⇒ His speed of distribution = 3 candies per child

1) Therefore, Both Christov and Mateus have same speed of distribution.

2) Since, both have same seed.

⇒ The one who has greater number of candies will be distribute more.

⇒ Christov will give more candies.


8 0
3 years ago
Goran makes 8 dollars for each hour of work. Write an equation to represent his total pay p after working h hours.
kvasek [131]

Answer:

P=H(8)

Step-by-step explanation:

P equals Pay.

H equals Hours.

Gorans pay is whatever his hours are times 8.

P=H(8)

I hope this helps!

8 0
3 years ago
7m+9, for m=2.<br> What's the value of this equation
Vinil7 [7]

Answer:

replace m with 2 and do 7(2)+9

5 0
3 years ago
Solve using demoivres theorem
pashok25 [27]
It's difficult to make out, but I think the task is to expand

(\sqrt3-i)^4

Write the number in polar form first:

\sqrt3-i=2e^{-i\pi/6}

By DeMoivre's theorem, you have

(\sqrt3-i)^4=\left(2e^{-i\pi/6}\right)^4=2^4e^{-i4\pi/6}=16e^{-i2\pi/3}

and converting back to Cartesian form, this number is equivalent to

16\left(\cos\dfrac{2\pi}3-i\sin\dfrac{2\pi}3\right)=16\left(-\dfrac12+-\dfrac{\sqrt3}2\right)=-8(1+i\sqrt3)
3 0
2 years ago
Other questions:
  • Find the equation for intercept x 4 and y -7​
    13·1 answer
  • Assume you have collected data pairs (x, y) on a certain variety of tree xis
    9·1 answer
  • 10 subtract 5 equals what
    10·2 answers
  • What is the average rate of change of the function on the interval from x = 0 to x = 5?
    13·2 answers
  • A thermos in the shape of a cylinder is filled with coffee. The height of the cylinder is 12 inches and its radius is 2 inches.
    13·2 answers
  • Of 60 randomly chosen students from a school surveyed,16 chose aquarium as their favorite fiel trip.There are 720 students in th
    14·1 answer
  • Please help me with 11 and 12. The first best answer gets brainlist.
    7·1 answer
  • For the function F defined by F(x)=x2−2x+4, find F(−2).
    12·2 answers
  • A local hamburger shop sold a combined total of 575 hamburgers and cheeseburgers on Sunday. There were 75 fewer cheeseburgers so
    12·1 answer
  • What are the x-intercepts of this function?<br> g(x) = -0.25x²-0.25x + 5
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!