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gizmo_the_mogwai [7]
3 years ago
8

Television sizes are described by the length of their diagonal measure. What would be the listed size of the TV shown? (to the n

earest whole inch)
1,424
32
38
20

Mathematics
1 answer:
prisoha [69]3 years ago
3 0

Answer:

38 inches

Step-by-step explanation:

since we are finding the diagonal we are going to use the equation a^2+b^2=c^2

so if we do substitution we would have 32^2+20^2=C^2

32^2= 1024

20^2= 400

so,

1024 + 400 = C^2

1424 = C^2

to get rid of the C^2 we have to take the square root of it. But whatever we do on one side of the equation we have to do on the other side so,

C = sqrt(1424)

C = 37.73

C = 38 inches

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A quadrilateral is graphed in the coordinate plane below. Which classification best describes the quadrilateral (parallelogram,
Ahat [919]

Answer:

Trapezoid

Step-by-step explanation:

Given quadrilateral has vertices at points A(-2,-1), B(3,13), C(15,5) and D(13,-11).

Find slopes of lines AD and BC:

\text{Slope}_{AD}=\dfrac{y_D-y_A}{x_D-x_A}=\dfrac{-11-(-1)}{13-(-2)}=\dfrac{-11+1}{13+2}=\dfrac{-10}{15}=-\dfrac{2}{3}\\ \\\text{Slope}_{BC}=\dfrac{y_C-y_B}{x_C-x_B}=\dfrac{5-13}{15-3}=\dfrac{-8}{12}=-\dfrac{2}{3}

Since the slopes are the same, lines AD and BC are parallel.

Find slopes of lines ABD and CD:

\text{Slope}_{AB}=\dfrac{y_B-y_A}{x_B-x_A}=\dfrac{13-(-1)}{3-(-2)}=\dfrac{14}{5}\\ \\\text{Slope}_{CD}=\dfrac{y_D-y_C}{x_D-x_C}=\dfrac{-11-5}{13-15}=\dfrac{-16}{-2}=8

Since the slopes are different, lines AB and CD are not parallel.

This means quadrilateral ABCD is trapezoid (two opposite sides - parallel and two another opposite sides - not parallel)

7 0
3 years ago
10(8r+23) =1430 <br> HELP PLS ITS FOR MY HW PLS PLS PLS
Mademuasel [1]

Answer:

r = 15

Step-by-step explanation:

10(8r + 23) = 1430

Divide both sides by 10.

8r + 23 = 143

Subtract 23 from both sides.

8r = 120

Divide both sides by 8.

r = 15

7 0
3 years ago
Tina paid $6.60 for some $0.15 stamps and some $0.20 stamps. She bought 37 stamps in all. How many of each kind did she buy?
sergiy2304 [10]

Answer:

Let n be the number of 25 cent stamps.Then, 28 - n must be the number of 29 cent stamps.Tim paid $7.60 the stamps.

0.25n + 0.29(28 - n) = 7.60

This means that n stamps at 25 cents a piece plus (28 - n) stamps at 29 cents a piece sum to $7.60.Solve for m.

0.25n + 8.12 - 0.29n = 7.60

-0.04n = -0.52

n = 13

So, Tim bought 13 25-cent stamps and 28 - 13 = 15 29-cent stamps

Step-by-step explanation:

hope this helps:)

4 0
3 years ago
A die was rolled eight times. The rolls were 2, 2, 3, 4, 4, 5, 6, and 6. What is the mean absolute deviation for this data? A) 1
adoni [48]

Answer:

The correct option is A:

MAD = 1 + 1/4

Step-by-step explanation:

For a set of N elements {x₁, x₂, ..., xₙ}

The mean is calculated as:

M = \frac{x_1 + x_2 + ... + x_n}{N}

And the mean absolute deviation is calculated as:

MAD = \frac{Ix_1 - MI + Ix_2 - MI + ...+ IX_n - MI}{N}

Here we have the set of 8 elements:

{ 2, 2, 3, 4, 4, 5, 6, 6}

The mean of this set is:

M = (2 + 2 + 3 + 4 + 4 + 5 + 6 + 6)/8 = 4

Then the mean standard deviation is:

MAD = \frac{I2 - 4I + I2 - 4I + I3 - 4I + I4 - 4I + I4 - 4I + I5 - 4I + I6 - 4I + I6 - 4I}{8} = 10/8

If we simplify this, we get:

MAD = 10/8 = 5/4  = (4 + 1)/4 = 4/4 + 1/4 = 1 + 1/4

MAD = 1 + 1/4

The correct option is A.

6 0
3 years ago
Please explain some one help need help on home work
yanalaym [24]
 good luck in first grade kid
4 0
3 years ago
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