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
Dmitrij [34]
3 years ago
9

Here is rectangle A. Block A. Rectangle B is ¹/₅ longer than A Block B. Rectangle C is ¹/₃ longer than B Block C. The total leng

th of all three rectangles is 133 cm. How much longer is rectangle C than B?
Mathematics
1 answer:
Hoochie [10]3 years ago
7 0

Answer:

Rectangle C is 14 cm longer than B

Step-by-step explanation:

Let  x be the length of Rectangle A. Rectangle B is ¹/₅ longer than A Block B,

Therefore the length of rectangle B is:

x+\frac{1}{5}x

Rectangle C is ¹/₃ longer than B, therefore the length of rectangle c is:

x+\frac{1}{5}x+\frac{1}{3}(x+\frac{1}{5}x) =x+ \frac{1}{5}x+\frac{1}{3}x+\frac{1}{15}x=x+\frac{9}{15}x

The total length of all three rectangles is 133 cm.

Length of rectangle A + Length of rectangle B + Length of rectangle C = 133 cm

x+x+\frac{1}{5}x +x+\frac{9}{15}x=133\\x+x+x+\frac{1}{5}x +\frac{9}{15}x=133\\3x+\frac{12}{15}x=133\\ 45x+12x=1995\\57x=1995\\x=35cm

Therefore the length of rectangle A is 35 cm, the length of rectangle B is 35+\frac{1}{5}*35=42\ cm and the length of rectangle C is 35+\frac{9}{15}*35=56\ cm

Rectangle C is ¹/₃ longer than B, which is 14 cm (42\3) longer than B

You might be interested in
1
Annette [7]

Answer:

x = 12√1.5

Step-by-step explanation:

Law of sines.

12/sin45 = x/sin60

x = 12(½√3) / (½√2)

x = 12√3/√2

x = 12√1.5

7 0
2 years ago
What is the graph for {3x+5y<10 {x-y<=1
Nostrana [21]
Sounds to me as tho you are to graph 3x+5y<10, and that after doing so you are to restrict the shaded answer area created by the "constraint" inequality x≤y+1.    OR x-1 ≤ y   OR  y≥x-1.  If this is the correct assumption, then please finish the last part of y our problem statement by typing   {x-y<=1}.

First graph 3x+5y = 10, using a dashed line instead of a solid line.

x-intercept will be 10/3 and y-intercept will be 2.  Now, because of the < symbol, shade the coordinate plane BELOW this dashed line.

Next, graph y=x-1.  y-intercept is -1 and x intercept is 1.  Shade the graph area ABOVE this solid line.

The 2 lines intersect at (1.875, 0.875).  To the LEFT of this point is a wedge-shaped area bounded by the 2 lines mentioned.  That wedge-shaped area is the solution set for this problem.
6 0
3 years ago
2,8 -4,-4 what is the slope
emmasim [6.3K]

Answer:

For (2, 8) the slope is 2

For (-4, -4) the slope is -4

Step-by-step explanation:

The slope is the x axis which goes first

and the y intercept would be the y axis which goes second

Slope goes before the y intercept

for example: (8, 4) the slope is 8 the y intercept is 4

7 0
2 years ago
Solve for x. <br>Bx (4x + 30) F bisects &lt;CDE.​
EleoNora [17]

Answer:

8x = 4x+30

x=7.5

Hope this helps!! Have a good day and remember to be tiger fierce!! :)

5 0
2 years ago
A ball is dropped from a height of 100 cm. The rebound heights to the nearest centimeter are 60, 36, 22, .... What is the total
Nataly_w [17]

Answer:

a

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • What slope of 4x+8y=13 <br>please help !?
    8·1 answer
  • Simplify the following expression 6X2 plus 8X -3 minus 3X2-6
    14·1 answer
  • What is the Pythagorean Theorem used for? *
    9·2 answers
  • What is the explicit rule for the arithmetic sequence shown in the graph ?
    7·2 answers
  • What expression is equivalent to the expression (4x+12) + 7x?
    12·2 answers
  • BRIANILEST!!!Hassan lined up the interior angles of the triangle along the line below.
    11·2 answers
  • If (2,3) is reflected over the y axis what is the new coordinates
    13·1 answer
  • Can someone please tell me what 35% of 80 is.
    7·2 answers
  • Find the area of a circle with a radius of 6 feet. Use 3.14 for pi
    12·1 answer
  • For which of the following is the shape of the sampling distribution of the sample mean approximately normal? a random sample of
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!