All categories

2 years ago

High-definition (HD) televisions today have a 16 : 9 aspect ratio (width to height). The advertised screen size is equal

Mathematics

2 answers:

madam [21]2 years ago

7 0

Answer:

B)68 by 40

Step-by-step explanation:

First we multiply this ratio by any whole number 16 : 9 . At least to get close to the option.

So I multiplied by 4

Giving me 64:36

So we remember that there is a padding of on both sides of the length and width.

This padding is 2 inch each

It's going to be

= 64+(2+2):36+(2+2)

= 68:40

sp2606 [1]2 years ago

3 0

Answer:

The most correct option is;

B) 68 by 40

Step-by-step explanation:

Here we have that the advertised screen size = Screen diagonal

Size of the HD TV = 75-inch

Therefore, diagonal of HD TV = 75-inch

Where the width of the HD TV = w

The height of the HD TV = h

h² + w² = 75²

w/h = 16/9

w = 16/9×h

∴ h² + (16/9×h)² = 75²

337/81×h² = 75²

h = 36.8 in.

Therefore, w = 16/9×36.8 = 65.4 in.

Hence when the thickness of the Styrofoam cup is added, we have;

2 inches on both sides gives 4 inches to be added to both height and width

Which gives,height = 36.8 + 4 = 40.8 in.

Width = 65.4 + 4 = 69.4 in.

The smallest possible dimensions is approximately

69.4 in. by 40.8 in.

Hence, the most correct option is B) 68 by 40.

You might be interested in

The Fun Committee is hosting the Annual City Festival. Jennifer is in charge of the committee and is planning a race to raise mo

Sidana [21]

We need to find the distance between (7, 5) and (10, 11) and double it, since they run it twice. We can do this as follows: 2√(11-5)² + (10-7)² = 2√36 + 9 = 2√45 = 6√5.
---
Hope this helps!

6 0

2 years ago

A new car is purchased for 20000 dollars. The value of the car depreciates at 12.5% per year. What will the value of the car be,

exis [7]

<h3>♫ - - - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - - - ♫</h3>

➷ final = original x multiplier^n

n is the number of years

Substitute in the values:

final = 20,000 x 0.875^11

final = 4603.8225

The answer would be $4603.82

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

5 0

2 years ago

Calculate the side lengths a and b to two decimal places

Talja [164]

Answer:

The answer is (D) ⇒ a = 11.71 , b = 15.56

Step-by-step explanation:

* In ΔABC

∵ m∠A = 45°

∵ m∠B = 110°

∴ m∠C = 180 - 45 - 110 = 25°

By using the sin Rule

∵ a/sin(A) = b/sin(B) = c/sin(C)

∵ c = 7

∴ a/sin(45) = b/sin(110) = 7/sin(25)

∴ a = (7 × sin(45)) ÷ sin(25) = 11.71

∴ b = (7 × sin(110)) ÷ sin(25) = 15.56

∴ The answer is (D)

5 0

2 years ago

A. Show one pair of corresponding points and two pairs of corresponding sides in the original polygon and its copy. B. what scal

Lera25 [3.4K]

Answer:

Step-by-step explanation:

(A).Two corresponding sides of the given figures will be,

AB and DE

BC and EF

Similarly one pair of corresponding points will be,

A and D.

(B). Since large figure has been scaled to the smaller image,

Scale factor = $\frac{\text{Side of the image}}{\text{Side of the actual figure}}$

= $\frac{\text{AB}}{\text{DE}}$

= $\frac{0.5}{2}$

= 0.25

Therefore, scale factor will be 0.25.

6 0

1 year ago

The Rockville Recruitment Agency just placed Howard Jacobson in a job as an assistant pharmacist. The job pays $51.2K. The agenc

Vitek1552 [10]

Answer:

Step-by-step explanation:

51,200 divided by 52. (52 weeks in a year.) 984.615385 is answer. So each week he gets paid $984.62. So then we multiply that by 3 since we are finding 40% of 3 weeks of pay. $984.62x3= $2953.86. Then we multiply that by 40%.. $2953.86x40%= Answer is $11181.54

4 0

2 years ago