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
lianna [129]
2 years ago
13

3. a) The dimensions of your game cover are 20 cm x 15 cm. However, you need to have a strip of

Mathematics
2 answers:
DaniilM [7]2 years ago
6 0

20cm×15 cm =300

32

/100 = 0.32

yuradex [85]2 years ago
5 0

9514 1404 393

Answer:

  1.5 cm

Step-by-step explanation:

All areas are in cm^2. For a width w, the border will have an area equal to the product of its centerline length and its width:

  border area = 2((20-w) +(15-w))·w = w(70 -4w)

This area is 32% of the total cover area, so is ...

  0.32(20)(15) = 96

Equating these expressions for the area gives ...

  96 = 70w -4w^2

  w^2 -17.5w = -24 . . . . . divide by -4

  w^2 -17.5w +8.75^2 = -24 +8.75^2 . . . . . complete the square

  (w -8.75)^2 = 52.5625 . . . . simplify

  w -8.75 = ±√52.5625 = ±7.25

A border width only makes sense if it is between 0 and 7.5 cm, so the appropriate value for w is ...

  w = 8.75 ± 7.25 . . . . . . . . . add 8.75

  w = 8.75 -7.25 = 1.50 . . . . . the solution w=16 makes no sense

The border width is 1.5 cm.

You might be interested in
Name the perpendicular lines
kotegsom [21]

Answer:

segment UV (put a line above it) and YW(put a line above it)

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Triangle ABC, with coordinates A(2, 3), B(3, 5), C(7, 4), is dilated by a scale factor of 2. What are the coordinates of the dil
VLD [36.1K]

Answer:I think thats a...

Step-by-step explanation:

5 0
3 years ago
During a recent election, 42 of every 100 registered voters in a certain city voted. If there were 158 , 200 registered voters i
Ivanshal [37]
Seeing as there are 1582 sets of 100 people (158200 ÷ 100) multiplying 42 by 1582 should get you the answer. 1582 × 42 = 66444. 66444 people voted in that city.
3 0
3 years ago
Algebraic expression for 6 notebooks at S dollars
swat32
6=S
therefore, to find one you must divide both sides by 6
the answer should be = 1=S/6
6 0
3 years ago
How can help me with (c)
dimulka [17.4K]
X^2-y^3=6
x^2-6=y^3
y= (x^2-6)^1 by 3
6 0
3 years ago
Other questions:
  • (x - 6)^2 - 5 = 0 Enter the solutions from least to greatest.
    6·2 answers
  • What is the solution for the equation 2x - 3 = - 8
    10·2 answers
  • Can you help me please?
    9·1 answer
  • 15 Points! (2 Questions)
    7·1 answer
  • What is -12 as an integer
    11·1 answer
  • What is the answer to -0.5x=-4.3
    9·1 answer
  • PLEASE HELP ME!!!!!!
    14·1 answer
  • Can someone answer this ASAP thanks
    6·2 answers
  • Please answer with explanation​
    12·1 answer
  • Hi guys can you guys pls help me with this question​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!