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Mumz [18]
3 years ago
11

Highest place value for 54

Mathematics
1 answer:
zvonat [6]3 years ago
4 0

Answer:

tens=5

Step-by-step explanation:

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Save me the headache
maxonik [38]

(9\sin2x+9\cos2x)^2=81

Taking the square root of both sides gives two possible cases,

9\sin2x+9\cos2x=9\implies\sin2x+\cos2x=1

or

9\sin2x+9\cos2x=-9\implies\sin2x+\cos2x=-1

Recall that

\sin(\alpha\pm\beta)=\sin\alpha\cos\beta\pm\cos\alpha\sin\beta

If \alpha=2x and \beta=\dfrac\pi4, we have

\sin\left(2x+\dfrac\pi4\right)=\dfrac{\sin2x+\cos2x}{\sqrt2}

so in the equations above, we can write

\sin2x+\cos2x=\sqrt2\sin\left(2x+\dfrac\pi4\right)=\pm1

Then in the first case,

\sqrt2\sin\left(2x+\dfrac\pi4\right)=1\implies\sin\left(2x+\dfrac\pi4\right)=\dfrac1{\sqrt2}

\implies2x+\dfrac\pi4=\dfrac\pi4+2n\pi\text{ or }\dfrac{3\pi}4+2n\pi

(where n is any integer)

\implies2x=2n\pi\text{ or }\dfrac\pi2+2n\pi

\implies x=n\pi\text{ or }\dfrac\pi4+n\pi

and in the second,

\sqrt2\sin\left(2x+\dfrac\pi4\right)=-1\implies\sin\left(2x+\dfrac\pi4\right)=-\dfrac1{\sqrt2}

\implies2x+\dfrac\pi4=-\dfrac\pi4+2n\pi\text{ or }-\dfrac{3\pi}4+2n\pi

\implies2x=-\dfrac\pi2+2n\pi\text{ or }-\pi+2n\pi

\implies x=-\dfrac\pi4+n\pi\text{ or }-\dfrac\pi2+n\pi

Then the solutions that fall in the interval [0,2\pi) are

x=0,\dfrac\pi4,\dfrac\pi2,\dfrac{3\pi}4,\pi,\dfrac{5\pi}4,\dfrac{3\pi}2,\dfrac{7\pi}4

5 0
3 years ago
Read 2 more answers
Will give medal to best answer!
mart [117]
We have two sides and one angle opposite to one of the known sides.

Begin with applying the Law of Sines to find angle A:
\frac{sin A }{a} = <span>\frac{sin C }{c}

Then, solve for sin A:
</span>sin A = \frac{a sinC}{c}

Now, plug in numbers:
sin A = 19 × sin(38) / 10 = 1.17

We know that it does not exist an angle whose sin is bigger than 1, therefore
no triangle is formed.

6 0
3 years ago
A tablet computer costs 189.69. it is marked up 30%. What is the final price of the tablet computer after its marked up.
saveliy_v [14]
The initial cost is 189.69. It is marked up 30%.

By simple calculations, 

Final cost of the tablet computer = Initial price + 30% of marked price

= 189.69 + (30/100 x 189.69)

This gives us the net value of 245.7. Hence the price of the computer after it's been marked up will be 245.7
6 0
3 years ago
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The table shows a gym class's average results for boys and
Rufina [12.5K]

Susan can jump at most 104 in during the long jump

<h3>Inequality</h3>

Inequality is an expression that show the non equal comparison of two or more variables and numbers.

From the table, the average result for females = 8ft 4in  = (8 * 12)in + 4in = 100 in

Since Susan could jump no farther than 4 inches more than the average distance for females, hence:

j ≤ 4 + 100

j ≤ 104 in

Susan can jump at most 104 in during the long jump

Find out more o Inequality at: brainly.com/question/24372553

5 0
2 years ago
How many packages of hamburger buns and meat patties should you buy to sell at a baseball tournament?
Mandarinka [93]
13 packs of meat patties and 16 packs of buns
4 0
3 years ago
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