Before 2017, smartphones by major manufacturers all had screens with a aspect ratio. In 2017, two major brands released phones with screens in an aspect ratio. However they still reported their screen size using the same diagonal length of the earlier phones, 5.8 inches. How did the change in aspect ratio affect the screen size, if at all?

Answers

Answer 1

Answer:

Answer:

the question is missing the numbers, so I looked for a similar one and found that screens back in 2017 had a 16:9 ratio and since then it changed to 18.5:9 ratio

the area of the screen is b x a x 0.5

we can form triangles:

old aspect ratio (16:9):

a = 1.778b

h = √(a² + b²)

5.8 = √[(1.778b)² + b²]

5.8 = √(3.16b² + b²)

5.8² = 4.16b²

33.64 = 4.16b²

b² = 33.64 / 4.16 = 8.0865

b = √8.0865 = 2.8437

a = 2.8437 x 1.778 = 5.056

area = 2.8437 x 5.056 x 0.5 = 7.19 in²

new aspect ratio (18.5:9):

a = 2.0556b

h = √(a² + b²)

5.8 = √[(2.0556b)² + b²]

5.8 = √(4.2253b² + b²)

5.8² = 5.2253b²

33.64 = 5.2253b²

b² = 33.64 / 5.2253 = 6.4379

b = √6.4379 = 2.5373

a = 2.5373 x 2.0556 = 5.2157

area = 2.5373 x 5.2157 x 0.5 = 6.62 in²

the actual screen area decreased by 0.57 in² or 7.93%

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There are 5/6 as many black pants as blue pants in george's closet. There are 5/9 as many black pants as brown pants in his closet. What is the ratio of the number black pants to the total number of pants in his closet?

Answers

Answer is the ratio 1 : 4

Work Shown

x = number of black pants

y = number of blue pants

z = number of brown pants

x = (5/6)y

x = (5/9)z

z = (9/5)x

x+y+z = total number of pants

x+y+z = (5/6)y + y + (9/5)x

x+y+z = (5/6)y+y+(9/5)*(5/6)y

x+y+z = (5/6)y+y+(3/2)y

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x+y+z = (10/3)y

numberOfBlackPants : Total

(5/6)y : (10/3)y

6*(5/6)y : 6*(10/3)y

5y : 20y

5 : 20

1 : 4

The ratio of the number of black pants to the total number is 1 : 4

It means the total is 4 times that of the number of black pants.

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Answers

Answer:

The coefficient of x represents the number of miles driven each day.

Step-by-step explanation:

The coefficient of x is being multiplied by x, or the number of days. If the expression models the total distance travelled, then Jeremy drove 450 miles each day.

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Answers

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Answers

Answer:

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Step-by-step explanation:

The standard form is ...

(x -h)^2/a^2 +(y -k)^2/b^2 = 1

for an ellipse centered at (h, k) with semi-axis measures "a" and "b". The largest of "a" or "b" is the semi-major axis; the smaller, the semi-minor axis.

Here, the major axis is vertical, so b > a.

Since the center is not given, we assume it is the origin: h = k = 0. The semi-axes are a=2, b=3, so the equation is ...

x^2/4 +y^2/9 = 1

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Answers

Speed = distance / time ⇒ distance = speed × time

distance = 65 mi / h * 2.5 h = 162.5 miles

Answer:

Distance traveled = 162.5 miles

Step-by-step explanation:

a bus travel in 2.5 hours at 65 mph

The time taken to travel is 2.5 hours

Speed of the bus is 65mph

To find the distance we use formula

Distance = speed * time

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time = 2.5

Distance = 65* 2.5 = 162.5 miles

Distance traveled = 162.5 miles

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Answers

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Answer:

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