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faltersainse [42]
3 years ago
8

A rectangle's length is twice its width. if the perimeter is 120 cm, find the width of the rectangle.

Mathematics
1 answer:
dangina [55]3 years ago
4 0
Let's use the formula to find the perimeter of a rectangle.
2l+2w=120
We know that the length is twice its width; the equation would be:L=2w
We can plug that in to the formula.
2(2w)+2w=120
4w+2w=120
6w=120
120÷6=20=w
Since the length is twice its width, 20×2=40. The length is 40 cm.
The width is 20 cm.
Tell me if this helps!!
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Find the equation of the parable in general form by completing the square. Then, state its vertex
lora16 [44]
The parabola will show the vertex in the format: y-k = (x-h)^2, where the vertex point
lies at (h, k).
so \: for \:  {x}^{2}  + 2x - y + 3 = 0
let's first put it in "y =" standard format:
y =  {x}^{2}  + 2x + 3
Since we cannot get a perfect square out of this, we complete the square: a=1, b=2, c=3
(b/2)^2 = (2/2)^2 = 1, so
y =  {(x +1)}^{2} ...\: is \: y =  {x}^{2}  + 2x + 1
So there's +2 leftover, since 3-1=2; so:
y =  {(x + 1)}^{2}  + 2
Now we'll subtract the 2 from both sides to show our vertex:
y - 2 =  {(x + 1)}^{2}
where our vertex (h, k) is at (-1, 2)
6 0
3 years ago
If the divisor is 4 and the quotient is 8, what is the dividend ?
kolbaska11 [484]
<h3>If the divisor is 4 and the quotient is 8, Then, dividend is 32</h3>

<em><u>Solution:</u></em>

Given that,

Divisor = 4

Quotient = 8

To find: dividend

We know that,

Dividend \div divisor = quotient

Therefore,

Dividend \div 4 = 8\\\\Dividend \times \frac{1}{4} = 8\\\\Dividend = 8 \times 4\\\\Dividend = 32

Thus, dividend is 32

3 0
3 years ago
Solve.... 4n- 9= 2 (5+ 2n)
timama [110]

Answer:

Step-by-step explanation:

Here you go mate

Use PEMDAS

Parenthesis,Exponent,Multiplication,Division,Addition,Subtraction

Step 1

4n-9=2(5+2n)  Equation/Question

Step 2

4n-9=2(5+2n)  Remove parenthesis

4n-9=4n+10

Step 3

4n-9=4n+10  Subtract 4n to sides

-9=10

Step 4

-9=10  Add 9

0=19

Answer

No solutions

Hope this helps

3 0
3 years ago
Greg and Erin start at the same point and begin running in different directions. Greg is running east at a speed of 7 miles per
AveGali [126]

Answer: The time at which the distance between the two is 150 miles is 1.3 hr.

Step-by-step explanation:

Step 1: Sketch the problem as shown in the attached image.

The problem can be solved using Pythagoras theorem since the sketch is a right angled triangle.

It follows the equation x² + y² = 15².

The distance covered by Greg is given by <em>x mi</em>, and that of Erin is given by <em>y mi</em>.

Step 2: To derive the distance covered by Erin and Greg, we use the formula <em>Speed = distance ÷ time.</em>

Which by cross-multiplying gives <em>distance = speed × time</em>.

Let time taken to cover the distance be <em>t h</em>.

Given that Speed of Erin is 9 mph and that of Greg is 7 mph.

Hence, distance covered by Greg, x = 7 × t = 7t.

Distance covered by Erin, y = 9 × t = 9t.

Step 3: Insert the terms x and y into the Pythagoras equation x² + y² = 15² and solve for <em>time t.</em>

(7t)² + (9t)² = 15²

49t² + 81t² = 225

(49 + 81)t² = 225

      t² = 225/(49 + 81)

      t² = 225/130

      t² = 1.730769231

       t = √1.730769231

       t = 1.315587029

t = 1.3hr

Hence the time at which the distance between the two is 150 miles is 1.3 hr.

4 0
3 years ago
Sam's parents gave him a map to reach to
irina1246 [14]
2.5 km because 1.5 is half of 3 and half of 5 is 2.5
5 0
3 years ago
Read 2 more answers
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