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Stella [2.4K]
3 years ago
5

Abigail made a quilt that has the area of 4,800 sq. inches. The length of the quilt is 1 1/3 times the width of the quilt. What

are the dimensions of the quilt
Mathematics
1 answer:
Aliun [14]3 years ago
8 0
For this case we model the problem as a rectangle.
 The area of the rectangle is given by:
 A = (w) * (l)
 Where,
 w: width
 l: long
 Substituting values we have:
 4800 = (w) * ((1 1/3) * w)
 We rewrite:
 w ^ 2 = 4800 / (1 1/3)
 w ^ 2 = 3600
 w = root (3600)
 w = 60 in
 The long will be then:
 l = (1 1/3) * w
 l = (1 1/3) * (60)
 l = 80 in
 Answer:
 
the dimensions of the quilt are:
 
w = 60 in
 l = 80 in
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Area of a circle of radius is 6.5?​
worty [1.4K]

Answer:

see below

Step-by-step explanation:

The area of a circle is given by

A = pi r^2 where r is the radius

A = pi (6.5)^2

A =42.25 pi

If we approximate pi by 3.14

A = 42.25 * 3.14 =132.665

If we use the pi button

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5 0
3 years ago
Read 2 more answers
Which symbol can be used to correctly compare the two fractions 2/5 and 35/100
Kaylis [27]

Reduce 35/100 to 7/20 by dividing both sides by 5.

2/5 is bigger than 7/20.

2/5 > 7/20  or 2/5 > 35/100 if you leave it unsimplified

Hope this helps :)

5 0
3 years ago
Read 2 more answers
In the DBE 122 class, there are 350 possible points. These points come from 5 homework sets that are worth 10 points each and 3
Sliva [168]

Answer:

i) it is not possible for the student to receive an A in the class

ii) 119 points

iii) 84points

Step-by-step explanation:

Total exam scores = 350points

homework scores of 7, 8, 7, 5, and 8

Let the third exam score =y

Exam scores = 81, 80, x

i) To know if the student would get an A in class, we would find the third exam score

(Scores received by a student)/ (total scores) = least of the grade percentage to get an A

(7 + 8 + 7 +5 + 8 + 81 + 80 + x)/350 = 0.9

(196+x)/350 = 0.9

196+x = 350 × 0.9

196+x = 315

x = 315-196

x = 119

119 > 100

Since the maximum grade for each of the exam score is 100points, it is not possible for the student to receive an A in the class.

ii) Since the least of the grade percentage that would guarantee an A is 0.9, the minimum score on the third exam that will give an A = 119points

iii) (Scores received by a student)/ (total scores) = least of the grade percentage to get a B

(7 + 8 + 7 +5 + 8 + 81 + 80 + x)/350 = 0.8

(196+x)/350 = 0.8

196+x = 350 × 0.8 = 280

x = 280-196

x = 84

The minimum score on the third exam that will give a B = 84points

3 0
3 years ago
Consider the following problem: a box with an open top is to be constructed from a square piece of cardboard, 3 feet wide, by cu
Alecsey [184]

Answer:

) See annex

b) See annex

x  =  0,5 ft

y =  2 ft   and

V = 2 ft³

Step-by-step explanation:  See annex

c) V = y*y*x

d-1) y = 3 - 2x

d-2) V = (3-2x)* ( 3-2x)* x   ⇒ V = (3-2x)²*x    

V(x) =( 9 + 4x² - 12x )*x    ⇒   V(x) = 9x + 4x³ - 12x²

Taking derivatives

V¨(x) = 9 + 12x² - 24x

V¨(x) = 0              ⇒   12x² -24x +9 = 0     ⇒  4x² - 8x + 3 = 0

Solving for x (second degree equation)

x =[ -b ± √b²- 4ac ] / 2a

we get    x₁  =  1,5       and    x₂ =  0,5

We look at y = 3 - 2x    and see that the value x₂ is the only valid root

then

x  =  0,5 ft

y =    2 ft   and

V = 0,5*2*2

V = 2 ft³

7 0
3 years ago
Plz help sovle these one-step equations
USPshnik [31]
The answer to the question

7 0
3 years ago
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