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Ivan
3 years ago
13

Which property is shown in the sentence below? 15(x - 2) = (x - 2)15

Mathematics
1 answer:
Vladimir [108]3 years ago
4 0
Associative Property
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A grocery store stocks shelves with 100 cartons of strawberries before the store opens. For the first 3 hours the store is open,
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80 - 30(first hour )=50

50-0(2nd hour)=50

50-20=30

30-20=10

10 Is THE ANSWER

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What is sqrt23 approximated to the nearest tenth <br><br> 3.6<br> 4.6<br> 4.8<br> 11.5
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5^2 = 25  so i would say its 4.8 Answer
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|-17|+1 simplify this
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18 is the correct answer

I-17 I+1= 17+1=18

4 0
3 years ago
Solve: 2 + = 2. Give solutions in interval [0, 2)
Dovator [93]
\because\cos 2x+\sin x=\sin 2x\because\sin 2x=2\sin xcosx\because\cos 2x=\cos ^2x-\sin ^2x

→ Substitute cos 2x and sin 2x by their expressions

\therefore\cos ^2x-\sin ^2+\sin x=2\sin x\cos x

→ Subtract both sides by sin x

\cos ^2x-\sin ^2x=2\sin xcosx-\sin x

→ Take sin x as a common factor in the right side

\therefore\cos ^2x-\sin ^2x=\sin x(2\cos x-1)

From the graph, the equation has 4 solutions, the intersection points between the 2 graphs

7 0
1 year ago
A television screen's width is 1.778 times its height. If its
Nana76 [90]

Answer:

Let a, b, and c be the height, width, and the diagonal of the screen respectively

Since they form a triangle and the angle between a and b is 90 degrees, according to the Pythagorean Theorem a^2 + b^2 = c^2

Let's assume that the aspect ratio is 16:9. Therefore b/a = 16/9

Now we have a system of two equations with two unknowns. We need to express everything in terms of a single unknown, so let's express a in terms of b.

Since, b/a = 16/9, by cross multiplying 16a = 9b. Therefore a=9b/16.

Now we can subsitute 9b/16 for a in the first equation

a^2+b^2=c^2 becomes (9b/16)^2 + b^2 = c^2

Squaring the nominator and the denominator of the fraction yields

81b^2/256 + b^2 = c^2

To perform the addition, we need to express b^2 as a fraction with denominator 256 which is 256b^2/256, Now we have

81b^2/256 + 256b^2/256 = c^2

Adding fractions with the same denominators is now easy and produces

337b^2/256 = c^2

Cross multiply to get

337b^2 = 256c^2

Divide both sides by 337 to get b^2

b^2=256c^2/337

Take the square root of both sides to get b

b = sqrt(256c^2/337)

Lots of complicated Pythagorean responses. This is much simpler to answer with Trigonometry.

TLDR; just multiply the diagonal by the following two coefficients, and add the bezel width, to get the width and height:

w = diag x 0.872 + 2 x bw

h = diag x 0.49 + 2 x bw

(Where diag is the diagonal size of the screen and bw is the bezel width)

Thats all you need to know to do this.

Now here’s the Teig behind it:

First, calculate the angle of the diagonal relative to the base, using tangent, which yields ::

a = tan(9/16)

This will give you an angle of 0.512 radians (or roughly 30 degrees).

Next, calculate the ratio of the height relative to the hypotenuse (the diagonal length) using arc-sine, which yields the relative proportion of opposite length over the hypotenuse for a given angle:

h = asin(0.512)

The result will be roughly h = 0.49, or 49% of the diagonal.

Finally, get the ratio of eidth to hypotenuse using arc-cosine:

w = acos(0.512)

The result is roughly w = 0.872, or 87.2% of the diagonal.

that’s all the math! Enjoy!

6 0
3 years ago
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