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4 years ago

May someone please help me with these questions. It’s urgent!

Mathematics

1 answer:

vaieri [72.5K]4 years ago

8 0

Answer:1:

a= 1/2

b= 1

c= 1

d= 1/2

2: 1/3

3: they did not beat the record, their time was 3 minutes

Step-by-step explanation:

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The aspect ratio of a TV screen is the ratio of the horizontal length to the vertical height. If the TV has a diagonal of 100 cm

Sati [7]

Answer:

The horizontal length is 80 cm, and the vertical height is 60 cm.

Step-by-step explanation:

The aspect ratio is the ratio of the horizontal length to the vertical height.

We have a rectangle with sides 4 and 3. We can find the length of the diagonal.

We can use the Pythagorean theorem to find the length of the diagonal.

a^2 + b^2 = c^2

3^2 + 4^2 = c^2

9 + 16 = c^2

c^2 = 25

c = 5

The diagonal is 5 in the ratio.

The ratio of the horizontal length to the vertical height to the diagonal is

4:3:5

We multiply all the numbers in the ratio by the same unknown, x.

A ratio of 4:3:5 is the same as a ratio of 4x:3x:5x.

We are told that the diagonal is 100 cm, so we have

4x : 3x : 100,

but we already had a ratio of

4x : 3x : 5x, so

5x = 100, and we can find x.

5x = 100

Divide both sides by 5.

x = 20

Since x = 20, then the horizontal length 4x = 4(20) = 80,

and the vertical height 3x = 3(20) = 60

Answer: The horizontal length is 80 cm, and the vertical height is 60 cm.

3 0

3 years ago

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Can anybody help me on this

Rom4ik [11]

$\boxed{f(n)=3n}$

7 0

4 years ago

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A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 7 ft/s along

jasenka [17]

Answer:

Dy/dt = 11.67 ft/s

Step-by-step explanation: See Annex

In Annex, Triangles ACE and BCD are similar then, we can write

( y- x ) / y = 6 / 15

15*y -15*x = 6*y

15*y - 6*y = 15*x

9*y = 15*x

y = (15/9)*x

Differentiating with respect time on both sides of the equation we get

Dy/dt = (15/9) Dx/dt (1)

Where we know Dx/dt = 7 ft/s, and according to (1) Dy/dt does not depend on x (distance between man and the pole, only depend on the speed f the man

Dy/dt = (15/9) * 7

Dy/dt = 11.67 ft/s

6 0

3 years ago

Use the function f(x) to answer the questions.

fiasKO [112]

Answer:

Below in bold.

Step-by-step explanation:

A. −16x2 + 24x + 16 = 0

-8(2x2 - 3x - 2) = 0

-8(2x + 1 )(x - 2) = 0

x = -0.5, 2.

So the x-intercepts are (-0/5, 0) and (2, 0).

B. As the leading coefficients is negative (-16) the vertex of the graph will be a Maximum.

To find its coordinates we convert the function to vertex form:

f(x) = −16x2 + 24x + 16

= -16(x^2 - 1.5x) + 16

Completing the square on contents of the parentheses:

= -16 [(x - 0.75)^2 - 0.75^2] + 16

= -16(x - 0.75)^2 - 16 * -0.75^2 + 16

= -16(x - 0.75)^2 + 9 + 16

= -16(x - 0.75)^2 + 25.

So the coordinates of the vertex are (0.75, 25)

3 0

3 years ago

What is Bernoulli theore?????

Ostrovityanka [42]

Answer:

Fluids speed must be matched by change in pressure ( force)

8 0

4 years ago

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