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Mamont248 [21]
3 years ago
15

The size of a television is given by the length ofthe diagonal of the screen. the ratio of the height to the width of wide flat-

screen tv is 8:15. find expressions for the width and height of a wide-screen tv in terms of the length of its diagonal.\
Mathematics
1 answer:
lbvjy [14]3 years ago
5 0
The diagonal of the tv screen is given by:
 d = root ((w) ^ 2 + (h) ^ 2)
 Where,
 w: width
 h: height
 In addition we have the following relationship:
 h / w = 8/15
 Thus,
 For the width:
 d = root ((w) ^ 2 + ((8/15) w) ^ 2)
 For the high:
 d = root (((15/8) h) ^ 2 + (h) ^ 2)
 Answer:
 
The expressions for the width and height of a wide-screen tv in terms of the length of its diagonal are:
 
d = root ((w) ^ 2 + ((8/15) w) ^ 2)
 
d = root (((15/8) h) ^ 2 + (h) ^ 2)
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How many different pairs of faces are congruent in a rectangular prism that is not a cube
Kaylis [27]

Answer:

2

Step-by-step explanation:

every rectangular prism has 6 faces, 2 will be congruent together and thw other 4 will be congruent to each other

3 0
2 years ago
Find all the values of x in the set of complex numbers that satisfy the following equation:
Fynjy0 [20]
Compute all the component integrals first:

I_1=\displaystyle\int_0^{\pi/4}2\sec x\,\mathrm dx=2\ln(\sqrt2+1)
I_2=\displaystyle\int_0^2\ln x\,\mathrm dx=2(\ln2-1)
I_3=\displaystyle\lim_{a\to\infty}\int_{-a}^a\frac{\mathrm dx}{x^2+1}=\pi

Now,

\sqrt2\approx1.4\implies \sqrt2+1\approx2.4
\implies \left\lceil I_1\right\rceil=2

e
\implies\left\lfloor I_2\right\rfloor=-1

\pi\approx3.14\implies\left\lceil I_3\right\rceil=4

So the given equation reduces to

\displaystyle\sum_{k=-1}^2\frac{\mathrm d}{\mathrm dx}x^{k+2}=1-4!
\dfrac{\mathrm dx}{\mathrm dx}+\dfrac{\mathrm dx^2}{\mathrm dx}+\dfrac{\mathrm dx^3}{\mathrm dx}+\dfrac{\mathrm dx^4}{\mathrm dx}=-23
4x^3+3x^2+2x+24=0

a fairly standard cubic. Incidentally, when x=-2, the LHS reduces to 0, so x+2 is a factor of the cubic. You can find the remaining two solutions easily with the quadratic formula.
5 0
2 years ago
The average distance from Venus to the Sun is 108,200,000 ​kilometers. ​ ​Which of the following is the number expressed in scie
NISA [10]

Option C

<u>ANSWER: </u>

The scientific notation of 108200000 is $1.082 \times 10^{8}$ So the correct option is c.

<u>SOLUTION: </u>

Given,the average distance from Venus to the Sun is 108,200,000 kilometers.

We need to find the above given distance in the scientific notation.

Scientific notation is nothing but writing the large numbers as product of ten power something so that we can reduce space required to write that number.

Now,  108200000  can be written in scientific notation as:

= 10820000 x 10

$=1082000 \times 10^{2}$

$=108200 \times 10^{3}$

$=10820 \times 10^{4}$

$=1082 \times 10^{5}$

$=108.2 \times 10^{6}$

$=10.82 \times 10^{7}$

$=1.082 \times 10^{8}$

Hence the scientific notation of 108200000 is $1.082 \times 10^{8}$ So the correct option is c.

4 0
3 years ago
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Dovator [93]
Add 9+9 and it eat either equals 18 or 81
5 0
2 years ago
Read 2 more answers
Please help! Answer as many as possible! ​
Mariulka [41]

Answer: 1. 10^3

One thousand

2. 10^5

One Hundred Thousand.

3.10000  4.2000  5. 60000

6. 7

70

700

7000

70000

7.12

120

1200

12000

120000

8.  9 × 1

9 × 10

9 × 100

9 × 1000

9 × 10000

9. value= 20

Step-by-step explanation:

4 0
2 years ago
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