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vitfil [10]
3 years ago
5

HELPPP !!!!! Write the trigonometric ratio for 0

Mathematics
1 answer:
ANTONII [103]3 years ago
4 0

Answer:

Sin θ = 24/25

Cos θ = 7/25

Tan θ = 24/7

Step-by-step explanation:

In a right triangle, the hypotenuse is the longest side, an "opposite" side is the one across from a given angle, and an "adjacent" side is next to a given angle.

From this we can conclude that the hypotenuse is 25, the opposite side is 24 and the adjacent side is 7. Then we use the formulas and substitute the values.

Sin θ = opposite / hypotenuse

Sin θ = 24/25

Cos θ = adjacent / hypotenuse

Cos θ = 7/25

Tan θ = opposite / adjacent

Tan θ = 24/7

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A new computer can complete a complex biochemistry calculation in 11 hours less than an older-model computer. Working together,
AlekseyPX

Answer:

New computer will take 33.28 hours to complete the calculation by itself.

Step-by-step explanation:

Let the time taken by the new computer to complete the calculation = x hours

Per hours work done by the new computer = \frac{1}{x}

Time taken by the older computer to complete the calculation = (x + 11) hour

Per hour work done by old computer = \frac{1}{(x+11)}

When both the computers work together they complete the work in 19 hours.

Therefore, per hour work done by both together = \frac{1}{19}

We per hour work done by both individually = per hour work done by both together

\frac{1}{x}+\frac{1}{x+11}=\frac{1}{19}

\frac{x+x+11}{x(x+11)}=\frac{1}{19}

\frac{2x+11}{x(x+11)}=\frac{1}{19}

38x + 209 = x² + 11x

x² - 27x - 209 = 0

By quadratic formula,

x = \frac{27\pm \sqrt{(-27)^{2}-4\times 1\times (-209)}}{2}

x = \frac{27\pm \sqrt{729+836}}{2}

x = \frac{27\pm \sqrt{1565}}{2}

x = \frac{27\pm 39.56}{2}

x = 33.28 hours

Therefore, new computer will take 33.28 hours to complete the calculation by itself.

3 0
3 years ago
Solve these equations. Show solutions on a number line. |x - 14| = 14
leonid [27]

Answer:

how are we supposed to get a number line if you didn't provide it i would answer it/

Step-by-step explanation:

6 0
3 years ago
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Write an expression that shows how you can multiply 9 x 475 using expanded form and distributed property
Leviafan [203]
475 = 400 + 70 + 5

therefore

9 × 475 = 9 × (400 +70 + 5) = 9 × 400 + 9 × 70 + 9 × 5
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I think... It's better to use Distributive Property:
(a - b) × c = a × c - b × c

9 = 10 - 1

therefore:
<span>(10 - 1) ×475 = 10 × 475 - 1 × 475 = 4750 - 475 = 4275</span>
6 0
3 years ago
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