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insens350 [35]
2 years ago
6

The area of a rectangle is 63m^2 and the length of the rectangle is 11m more than twice the width. Find the length and width.

Mathematics
1 answer:
AleksandrR [38]2 years ago
7 0

Answer:

width = 3.5 m

length = 18 m

Step-by-step explanation:

area = length x width

x is the width then length = 2x + 11

x(2x + 11) = 63

2x^2 + 11x - 63 = 0

The formula to solve a quadratic equation of the form ax^2 + bx + c = 0 is equal to x = [-b +/-√(b^2 - 4ac)]/2a

with a = 2

       b = 11

       c = -63

substitute in the formula

x = [-11 +/- √(11^2 - 4(2)(-63))]2(2)

x = [-11 +/- √(121 + 504)]/4

x = [-11 +/- √625]/4

x = (-11 +/- 25)/4

x1 = (-11 + 25)/4 = 14/4 = 3.5

x2 = (-11 - 25)/4 = -36/4 = -9

since width can't be a negative number, x is 3.5

length = 2x + 11 = 2(3.5) + 11 = 18

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Sliva [168]

Answer:Given that 3 persons can weave 168 shawls in 14 days. Then, Shawls are woven in 1 day by the 3 men = 168/14 = 12. Shawls are woven in 1 day ...

Step-by-step explanation:

4 0
2 years ago
What is the complete factorization of the polynomial below?<br>x^3 - 4x^2 + x-4​
postnew [5]

Answer:

<h2>B. (x-4)(x+i)(x-i) </h2>

Step-by-step explanation:

x³-4x²+x-4=

=x²(x-4)+(x-4)

=(x-4)(x²+1)

=(x+4)(x-i²)

<h3>=(x-4)(x+i)(x-i) </h3>

5 0
3 years ago
Arthur walked around a circular trail twice in a total of 4.5 hrs. He walked the circle at 4 mph the first time and at 5 mph the
Alex

Answer:

It’s 5 mph I would be tired if I had to walk 4 miles

5

Step-by-step explanation:

3 0
2 years ago
Miranda and cyndi start hiking from the same point. miranda hikes at a heading of , or due west, and cyndi hikes at a heading of
igomit [66]

They are both 6.9 miles apart after one hour if they both hike 4 miles/hour

The correct option is (B)

<h3>What is the triangle?</h3>

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

<h3>According to the given information:</h3>

Miranda and Cyndi start hiking from the same point. Miranda hikes at a heading of 270° or due west, and Cyndi hikes at a heading of 30°

<h3>From the isosceles triangle:</h3>

h = 4sin30

h = 4(1/2)

h = 2 miles

<h3>From Pythagoras theorem:</h3>

x² = 4² - h² = 4² - 2²

x = √12

x = 3.46 miles

Total distance = 2×3.46  = 6.9 miles

Thus, they are both 6.9 miles apart after one hour if they both hike 4 miles/hour option (B) 6.9 miles is correct.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ4

I understand that the question you are looking for :

Miranda and Cyndi start hiking from the same point. Miranda hikes at a heading of , or due west, and Cyndi hikes at a heading of , or n e. if they both hike 4 miles/hour, approximately how far apart are they after one hour?

A) 4.3 miles. .

B) 6.9 miles

C) 8.0 miles

D) 5.7 miles

4 0
1 year ago
At the same store, Peter bought 2 pairs of pants and 5 shirts for $61, and Jessica bought 3 pairs of pants and 4 shirts for $67.
svetlana [45]

Hey there!!

Given :

The total cost for 2 pairs of pants and 5 shirts is $61.

The total cost for 3 pairs of paints and 4 shirts is $67.

<em>Let's take the cost for each pair of paints as 'p' and the cost for each shirt as 's'. </em>

Now, let's get these into an equation.

<em>Peter's equation</em> :

... 2p + 5s = 61

<em>Jessica's equation : </em>

...3p + 4s = 67

......................................................................................................

2p + 5s = 61 --- (1)

3p + 4s = 67 --- (2)

Multiply the first equation with 3 and the second equation with 2.

6p + 15s = 183

6p + 8s = 134

S<em>ubtract both the equations - </em>

... 7s = 49

Divide both sides with 7.

... s = 7

<u><em>Hence, the cost of each shirt is $7. </em></u>

Hope my answer helps!!


6 0
3 years ago
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