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igomit [66]
3 years ago
9

= 0" alt="2 \sin(x) - \sqrt{3} = 0" align="absmiddle" class="latex-formula">
when\frac{\pi}{2} \leqslant x \leqslant  \pi
​
Mathematics
1 answer:
atroni [7]3 years ago
6 0

Given:

The equation is

2\sin x-\sqrt{3}=0

When \dfrac{\pi}{2}\leq x\leq \pi.

To find:

The value of x.

Solution:

We have,

2\sin x-\sqrt{3}=0

It can be written as

2\sin x=\sqrt{3}

\sin x=\dfrac{\sqrt{3}}{2}

It is given that \dfrac{\pi}{2}\leq x\leq \pi.

\sin x=\sin \left(\pi-\dfrac{\pi}{3}\right)

x=\dfrac{3\pi-\pi}{3}

x=\dfrac{2\pi}{3}

Therefore, the value of x is \dfrac{2\pi}{3}.

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Is 95.045 greater than 19.545
nadezda [96]
No because in 19.545, the 9 is bigger than the 5 in 95.045 (the first 5)
3 0
4 years ago
What is the sign of f on the interval -2
TEA [102]

Answer:

f is sometimes positive and sometimes negative.

Step-by-step explanation:

f(x)=(x-3)(x+2)(x+4)(x+4)(x-1)(2x-9)

Take x=-1\in(-2,\frac{9}{2})\ as-2

f(-1)=(-1-3)(-1+2)(-1+4)(-1-1)(-2-9)\\\\=(-4)(1)(3)(-2)(-11)\\\\=-264\\\\f(-1)

Take x=2\in(-2,\frac{9}{2})\ as\ -2

f(2)=(2,-3)(2+2)(2+4)(2-1)(2\times2-9)\\\\=(-1)(4)(6)(1)(-5)\\\\=120\\\\f(2)>0

Hence f(x) for x=-1 and f(x)>0 for x=2

So f is sometimes positive and sometimes negative in the interval.

3 0
4 years ago
9. Triangle Construction pays Square Insurance $5,980
xxTIMURxx [149]

The triangle pay $32 more for that day than it paid per day during the first period of time.

Step-by-step explanation:

The given is,

              Triangle Construction pays Square Insurance $5,980

               To insure a construction site for 92 days

               To extend the  insurance beyond the 92 days costs $97 per day

               Triangle extends the insurance by 1 day

Step:1

              Insurance per day from the 92 days period,

                                                                           = \frac{Total insuratio for 92 days}{Period}

               Where, Total insurance for 92 days = $ 5,980

                                                               Period = 92 days

               From the values, equation becomes,

                                                                            =\frac{5980}{92}

                                                                           = $ 65 per day

Step:2

              Insurance per day after the 92 days,

                                                                           = $ 97

               Amount Pay for that day than it paid per day during the first period of time,

                                                                            =(97-65)

                                                                           = $32

Result:

             The triangle pay $32 more for that day than it paid per day during the first period of time, if  the Triangle Construction pays Square Insurance $5,980 to insure a construction site for 92 days and to extend the  insurance beyond the 92 days costs $97 per day.

                                                                         

8 0
3 years ago
10
Ray Of Light [21]
C
A square can be defined as a rhombus which is also a rectangle – in other words, a parallelogram with four congruent sides and four right angles. A trapezoid is a quadrilateral with exactly one pair of parallel sides.
3 0
3 years ago
Two data sets have the same mean,
nirvana33 [79]

For Data Set B, we see that the data is more varied. The absolute deviations are 4, 3, 2, 5. The average of these absolute deviations is 3.5. MAD_B = (4+3+2+5)/4 =3.5 M ADB

Hence, The average of these absolute deviations is 3.5.

5 0
2 years ago
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