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3 years ago

12

a television with a 5:4 screen shows an image with a ratio of 20:12 which creates a letter boxed image. What percent of the scre

en area is occupied

1 answer:

Grace [21]3 years ago

6 0

Answer: $75\%$

Step-by-step explanation:

You know that the ratio of the television's screen is $5:4$ . This ratio can be also written as the following fraction:

$\frac{5}{4}$

The television shows an image with a ratio of $20:12$ which can be also written as a fraction:

$\frac{20}{12}$

Set up the following proportion and solve for "x":

$\frac{20}{x}=\frac{5}{4}\\\\x=\frac{4*20}{5}\\\\x=16$

Now, in order to find the percent of the screen area occupied make the following division:

$\% occupied=\frac{12}{16}*100=75\%$

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In the circle below, suppose m VUX = 152° and mZUVW = 77º. Find the following.

bezimeni [28]

Given:

In the circle, $m(\overarc{VUX})=152^\circ$ and $m(\angle MUV)=77^\circ$ .

To find:

The following measures:

(a) $m\angle VUX$

(b) $m\angle UXW$

Solution:

According to the central angle theorem, the central angle is always twice of the subtended angle intercepted on the same same arc.

$m(VUX)=2\times m\angle VWX$

$152^\circ=2\times m\angle VWX$

$\dfrac{152^\circ}{2}=m\angle VWX$

$76^\circ=m\angle VWX$

In a cyclic quadrilateral, the opposite angles are supplementary angles.

UVWX is a cyclic quadrilateral. So,

$m\angle VUX+m\angle VWX=180^\circ$ [Opposite angles of a cyclic quadrilateral]

$m\angle VUX+76^\circ=180^\circ$

$m\angle VUX=180^\circ-76^\circ$

$m\angle VUX=104^\circ$

Now,

$m\angle UXW+m\angle UVW=180^\circ$ [Opposite angles of a cyclic quadrilateral]

$m\angle UXW+77^\circ =180^\circ$

$m\angle UXW=180^\circ-77^\circ$

$m\angle UXW=103^\circ$

Therefore, $m\angle VUX=104^\circ$ and $m\angle UXW=103^\circ$ .

7 0

2 years ago

What number is being factored in this factor tree? <br><br>A.72<br> B.180 <br>C.216<br> D.324

Tatiana [17]

Answer:

not sure if it's ryt but I think it's A

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3 years ago

Solve for w, where w is a real number.<br> √w+9=5

irga5000 [103]

If w is real then we need ignore negative sign and consider it as a mod value. So the answer will be 2

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2 years ago

taurus [48]

Answer:

$x^2 - 2x + 10$ , option B

Step-by-step explanation:

Complex numbers:

The most important relation that involves complex numbers is given by:

$i^2 = -1$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

The solutions are:

$x_1 = 1 - 3i, x_2 = 1 + 3i$

We have to find the polynomial. All option have $a = 1$ . So

$(x - (1 - 3i))(x - (1 + 3i)) = x^2 - x(1 + 3i) - x(1 - 3i) + (1 - 3i)(1 + 3i) = x^2 - x -3ix - x + 3ix + 1^2 - (3i^2) = x^2 - 2x + 1 - 9i^2 = x^2 - 2x + 1 - 9(-1) = x^2 - 2x + 10$

The correct answer is given by option b.

6 0

3 years ago

What expression is the simplest form of -(4x+y) +2(x-3y)?

jolli1 [7]

the answer would be d, very much appreciated if you would give me brainliest

7 0

2 years ago

Read 2 more answers