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Mariulka [41]
3 years ago
15

The size of a tv is identified by the length of its diagonal. a new tv is being advertised as a 70 in. tv. the tv screen is in t

he shape of a rectangle with a 59.5 in. width.
what is the height of the tv screen, rounded to the nearest tenth of an inch?

Mathematics
1 answer:
Basile [38]3 years ago
7 0

Using the Pythagorean theorem:

a^2 + b^2 = c^2  ( a and b are the sides and c is the diagonal)

59.5^2 + b^2 = 70^2

Simplify:

3540.25 + b^2 = 4900

Subtract 3540.25 from both sides:

b^2 = 1359.75

Take the square root of both sides:

b = 36.874

Rounded to the nearest tenth = 36.9 inches.

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In the figure below, what is the value of x
kykrilka [37]

Answer:

<em>x = 49°</em>

Step-by-step explanation:

<u>Angles in a Triangle</u>

The sum of the internal angles in any triangle adds up to 180°.

The figure shows a triangle that includes two angles with the same tick mark. This means they are congruent, i.e. they measure the same.

The larger triangle has three defined angles: 43°, 39°, and 2x. Since the sum of them is 180°:

43° + 39° + 2x = 180°

Operating:

82° + 2x = 180°

Subtracting 82°:

2x = 180° - 82° = 98°

x = 98°/2 = 49°

x = 49°

3 0
3 years ago
What is 520 divided by 8
erastova [34]
First see how many times can 8 go into 52. So 8 goes 6 times, and it equals to; 48
Now subtract 48 from 52; 52-48= 4

Finally bring down the 0 next to the 4; 40

Now to get you final answer find out how many times can 8 go into 40; 5
Since it goes exactly 5 times then your final answer would be; 65
Hope this helps! :)
 
7 0
3 years ago
It took the race car 22 minutes to travel 114.4 kilometers. At what rate did the car travel? Use the formula r=d/t where r is th
Svet_ta [14]

Answer:

5.2 Km/Min

Step-by-step explanation:

Speed/Rate= Distance/Time

Speed/Rate = 114.4/22

Speed/Rate = 5.2 KM/min

4 0
3 years ago
Read 2 more answers
Evaluate 3/5r +5/8swhen r =14 and s =8
Illusion [34]

Step-by-step explanation:

14×5=70

8×8=64

(3/70) + (5/64)

= (3×64)+(5×70)

----‐------------------

70×64

= (192+350)/448

=542/448

= 271/224

5 0
3 years ago
A circular garden has a diameter of 8 yards. What is the area of the garden? Use 3.14 for π.
MissTica

Answer:

50.24 yards²

Step-by-step explanation:

The equation for area of circle is πr². So the calculation is 4² × 3.14.

16 × 3.14 = 50.24

4 0
3 years ago
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