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2 years ago

HDTV screens usually have a width-to-heigh ratio of 16:9. Which screen dimensions are in the same proportion?

Mathematics

1 answer:

Lana71 [14]2 years ago

5 0

Answer:

4: 3

Step-by-step explanation:

In this case, we have that there is a relationship between width and height, which is 16: 9, which means that any screen that has the same ratio would be an identical screen.

How would we do this? it must either be raised to a power or rationalized on both sides of the ratio.

If we raise to a power, it would give very large dimensions for an HDTV, therefore, it is best to remove the square root on both sides, since it has more common values for a TV.

$\sqrt{16} :\sqrt{9}$

4: 3

Therefore, a 4: 3 screen is a good choice for an HDTV with the same ratio.

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Harman [31]

Answer:

Step-by-step explanation: < 180

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3 years ago

Three pounds of fertilizer covers 900 feet.How many pound of fertilizer will cover 2,100 feet?

sveticcg [70]

To solve this problem, you can make a proportion:

3/900 = x/2100

In this case, the x represents the pounds that will be needed to cover 2,100 feet.

The first step is to cross multiply like this:

3 * 2100 = 900 * x

Now you can simply the equation.

6300 = 900x

Now you divide both sides by 900 to cancel it out.

7 = x

So, your answer is 7 pounds.

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2 years ago

A ball is thrown into the air with an upward velocity of 48 ft/s. Its height h in feet after t seconds is given by the function

Masja [62]

The equation modeling the height of the ball at time,t is given by h=-16t²+48t+6
<span>a. In how many seconds does the ball reach its maximum height?
Time taken for the ball to reach the maximum height will be given by:
h'(t)=-32t+48=0
finding the value of t we get:
32t=48
t=48/32
t=1.5 seconds
Thus the time taken for the ball to reach the maximum time is 1.5 seconds

b]</span><span> What is the ball’s maximum height?
The maximum height will be:
h(1.5)=-16(1.5)</span>²+48(1.5)+6
h(1.5)=42 fee

3 0

3 years ago

P (x) is a polynomial. Here are a few values of P (x): P(-5)=-2 and P (5)=-1 What is the remainder when P(x) is divided by (x+5)

vladimir2022 [97]

Answer:

– 2

Step-by-step explanation:

From the question given above, the following data were obtained:

P(x) = polynomial

P(–5) = – 2

P(5) = –1

Remainder when P(x) is divided by

(x + 5) =?

To obtain the remainder when P(x) is divided by (x + 5), we shall apply the reminder theorem as follow:

Let (x + 5) be equal to 0

(x + 5) = 0

x + 5 = 0

Subtract 5 from both side

x + 5 – 5 = 0 – 5

x = –5

Replace x in P(x) with –5 as shown below:

P(x) = polynomial

x = – 5

P(–5)

From the question given above,

P(–5) = – 2

Therefore, when P(x) is divided by

(x + 5), the remainder is – 2.

5 0

3 years ago

How do i Simplify 252 ÷ 3-3(4)(1)?

vivado [14]

9514 1404 393

Answer:

Step-by-step explanation:

Enter the expression into your calculator.

If you're doing this by hand, follow the Order of Operations. The expression is the difference of a quotient and a product. The quotient is on the left, so it is figured first.

252÷3 = 84

The product is figured next.

3(4)(1) = 12(1) = 12

Then the difference is figured:

84 -12 = 72

The simplified result is 72.

7 0

2 years ago