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
faust18 [17]
2 years ago
14

Charlene is a video game designer and wants to make sure that her games can be played on all types of screens. In order for the

games to work on both devices with a standard aspect ratio and those with widescreen aspect ratios, the playable area of the games should have an aspect ratio of 3:2. This means that the width is equal to times the height. On one type of tablet, the playable area of the game on the screen is 54 square inches. Write and solve a system of equations to determine the dimensions of the playable area. A. The playable area has a width of 13.5 inches and a height of 9 inches. B. The playable area has a width of 6 inches and a height of 9 inches. C. The playable area has a width of 6 inches and a height of 4 inches. D. The playable area has a width of 9 inches and a height of 6 inches.
Mathematics
2 answers:
Nikitich [7]2 years ago
4 0

Answer:

The playable area has a width of 9 inches and a height of 6 inches.

Step-by-step explanation:

There are a number of ways you can get there.

1. Check the answers to see which have the right area and aspect ratio.

A: area = 24 in² — does not match 54 in²

B: area = 54 in², aspect ratio 6:9 = 2:3 — does not match 3:2 aspect ratio

C: area = 54 in², aspect ratio 9:6 = 3:2 — matches problem statement

D: area = 121.5 in² — does not match 54 in²

2. If the screen were 3:2 (inches), its area would be 6 in². The area of 54 in² is 9 times that value, so the actual screen dimensions are √9 = 3 times 3:2. That is, they are width:height = 9:6 inches — matches selection C.

3. You can write equations for width and height and solve.

w/h = 3/2

wh = 54

Substituting w=3/2·h into the second equation gives

... (3/2)h·h = 54

... h² = 36 . . . . . multiply by 2/3

... h = √36 = 6 . . . . square root, result in inches

Zielflug [23.3K]2 years ago
3 0

Answer:

D. The playable area has a width of 9 inches and a height of 6 inches.

Step-by-step explanation:

if the playable area is 54 and that such ratio of dimensions is 3:2

Then we are basically being asked to find the factor of ratios below that also multiply to get 54

54 = 9 x 6 and this is also a ratio of 3:2

As 3(3 + 2) = 54

and as width was asked first when ratio was given 3:2

The width therefore is 9 and the height is 6

So answer is D

You might be interested in
Write 11 17/100 as a decimal number
Stella [2.4K]

Answer:

17/100 0.17

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Which statements are true about the rules of division? Check all that apply.
a_sh-v [17]

Answer:

1.The quotient of two negative integers is positive.

3.The quotient of two integers with the same sign is positive.

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
What is f(x) = –4x2 + 24x + 13 written in vertex form? f(x) = –4(x – 6)2 + 23 f(x) = –4(x – 6)2 + 7 f(x) = –4(x – 3)2 + 4 f(x) =
nika2105 [10]
We have that
f(x) = –4x²<span> + 24x + 13
</span>
we know that

The vertex form for a parabola that opens up or down is:

f(x) = a(x - h)^2 + k

in the given equation, <span>a=-4</span><span>, therefore we add zero to the original equation in the form of </span><span>4h</span>²<span>−4h</span>²
f(x) = –4x² + 24x + 4h²−4h² +13
<span>Factor 4 out of the first 3 terms and group them 
</span>f(x) = –4*(x² -6x +h²) +4h² +13
<span>We can find the value of h by setting the middle term equal to -2hx
</span>−2hx=−6x
<span>h=3</span><span> and  </span><span>4h</span>²<span>=<span>36
</span></span>f(x) = –4*(x² -6x +9) +36 +13

we know that the term (x² -6x +9) is equals to------> (x-3)²
so
f(x) = –4*(x-3)² +49

the answer is
f(x) = –4*(x-3)² +49

 

4 0
3 years ago
10 points need help asap
alexandr402 [8]

Answer:

Cross section is the term name given to the front of any prism. SO, they are only found in a prism. They are recognized as the side/face that appears twice in a prism, and the shape have a visible length between these 2, known as the height

Step-by-step explanation:

Hope this helps

4 0
3 years ago
Which number line shows 1.5 graphed?
Mamont248 [21]

Answer:

The third one down

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • Hey can you please help me posted picture of question
    10·2 answers
  • What is inequality to compare
    11·1 answer
  • Determine whether the pair of figures are similar and explain why.
    14·2 answers
  • The following are the ages (years) of 5 people in a room: 23, 13, 17, 12, 15 A person enters the room. The mean age of the 6 peo
    10·1 answer
  • Graded Assignment
    9·1 answer
  • The measures of angles A and B are equal and complementary. What is the measure Of each angle?
    9·1 answer
  • Each of the sentences below needs revision to make the sentence clearer, less wordy, or more focused. Match each sentence to its
    12·2 answers
  • −13.9+ 12.8b =−13.3<br> Please need help.
    14·2 answers
  • Three pipes can be used to fill up a
    10·1 answer
  • Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!