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3 years ago

6

Your television has a height of 20 inches and a length of 21 inches. What is the length of the diagonal?

1 answer:

Liula [17]3 years ago

7 0

Answer:

29

Step-by-step explanation:

You take the two sides and make them to the second power so 20 would be 400 and 21 would be 441. You add those numbers to get 841. Than the square root of 841 is the answer which is 29

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A square on a coordinate plane has the points A(0, 0), B(0, 5), C(5, 5) and D(5, 0). If Square ABCD is rotated about the origin

Georgia [21]

Answer:

B. 5 units

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, dilation, rotation or translation.

If a point X(x,y) is rotated about the origin 180 degrees clockwise the new point is at X'(-x, -y).

If the square with vertices at A(0, 0), B(0, 5), C(5, 5) and D(5, 0) is rotated about the origin 180 degrees clockwise the new points are at A'(0, 0), B'(0, -5), C'(-5, -5), D'(-5, 0)

A square has four equal sides. The distance between two points $X(x_1,y_1)\ and\ Y(x_2,y_2)$ is:

$|XY|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Hence:

$|A'B'|=\sqrt{(0-0)^2+(-5-0)^2} =5$

3 0

3 years ago

What is the constant of proportionality in the table below?

kenny6666 [7]

Answer: $\dfrac{2}{5}$

Step-by-step explanation:

The constant of proportionality 'k' between two variables ( one independent and one dependent ) is given by :-

$k=\dfrac{\text{Value of dependent variable}}{\text{Value of independent variable}}$

In the given table, independent variable = Days

Dependent variable = Total Miles

From first row, Days = 3

Total Miles = $1\dfrac{1}{5}=\dfrac{6}{5}$

Then, the constant of proportionality in the table

$k=\dfrac{\dfrac{6}{5}}{3}=\dfrac{6}{5\times3}=\dfrac{2}{5}$

Hence, the constant of proportionality in the table is $\dfrac{2}{5}$ .

3 0

3 years ago

Of 150 goldfish in the fish pound, 27 are red. What percentage of goldfish are red?

katovenus [111]

To get the percent, divide 27 by 150 then multiply the quotient by 100.

(27 / 150) * 100 = 18%

4 0

4 years ago

(a) The area of a rectangular parking lot is 3657 m².

aev [14]

Answer l=69m

Step-by-step explanation:

l= A/w= 3657/53=69m

use the formula A=wl

4 0

2 years ago

Read 2 more answers

If arc VY = 132° and ∠YUV = 41°, what is the measure of arc XV?

Tom [10]

Answer:

50

Step-by-step explanation:

Use this equation

$\frac{b - a}{2} = angle \: yuv$

where b is arc VY, A is arc XV.

Substitute the equation in

$\frac{132 - a}{2} = 41$

$132 - a = 82$

$- a = - 50$

$a = 50$

so our arc measure is 50

5 0

3 years ago