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Mice21 [21]
3 years ago
15

in a election about 500,000 people voted in all. what could be the exact number of people who voted in the election?

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
5 0
450000 or 549000/550000
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In ΔLMN, l = 8.7 cm, m = 2.3 cm and n=6.6 cm. Find the measure of ∠M to the nearest degree.
DIA [1.3K]

Answer:

7

Step-by-step explanation:

\underline{\text{Solution Method 2:}}

Solution Method 2:

​

Use original formula

a^2=b^2+c^2-2bc\cos A

a

2

=b

2

+c

2

−2bccosA

From reference sheet.

\text{Since we are finding }\angle M\text{,}

Since we are finding ∠M,

\text{plug in }2.3\text{ for side }a:

plug in 2.3 for side a:

Opposit the angle we want

2.3^2 = 6.6^2+8.7^2-2(6.6)(8.7)\cos M

2.3

2

=6.6

2

+8.7

2

−2(6.6)(8.7)cosM

Plug in values. Side "a" is opposite the wanted angle.

5.29 = 43.56+75.69-114.84\cos M

5.29=43.56+75.69−114.84cosM

Square sides.

5.29 =

5.29=

\,\,\color{white}{-} 119.25-114.84\cos M

−119.25−114.84cosM

Add.

-119.25=

−119.25=

\,\,-119.25

−119.25

-113.96=

−113.96=

\,\,-114.84\cos M

−114.84cosM

\frac{-113.96}{-114.84}=\cos M

−114.84

−113.96

​

=cosM

Divide to solve for cos(A).

M= \cos^{-1}(\frac{-113.96}{-114.84})\approx7.098\approx 7^{\circ}

M=cos

−1

(

−114.84

−113.96

​

)≈7.098≈7

∘

8 0
3 years ago
Read 2 more answers
Express the function y(t)= 4 sin 2πt + 15 cos 2πt in terms of (a) a sine term only. (b) Determine the amplitude, the period, the
Bond [772]

Answer:

See the step by step solution

Step-by-step explanation:

Consider a more general case of the form a\sin(x)+b\cos(x). We want to express it as a sine term only by using the following formula \sin(\alpha+\beta) = \sin(\alpha)\cos(\beta)+\sin(\beta)\cos(\alpha)

The trick  consists on find a number \beta \in [0,2\pi] such that \cos(\beta) = a, \sin(\beta)=b . But, note that since \cos^2(\beta)+\sen^2(\beta)=1 it is most likely that a^2+b^2neq 1. Then, we will use the following equations:

\cos(\beta) =\frac{a}{\sqrt[]{a^2+b^2}=A,\sin(\beta) =\frac{b}{\sqrt[]{a^2+b^2}=B

Then, problem turns out to be

a\sin(x)+b\cos(x)= \sqrt[]{a^2+b^2}(A\sin(x)+B\cos(x)) =\sqrt[]{a^2+b^2}(\sin(x)\cos(\beta)+\sin(\beta)\cos(x))=\sqrt[]{a^2+b^2}\sin(x+\beta),

where \beta = \tan^{-1}(\frac{B}{A})= \tan^{-1}(\frac{b}{a}). So, note that the frequency is the same. Then, a) Taking a=4 and b= 15 we have that 4 sin 2πt + 15 cos 2πt= [tex]\sqrt[]{15^2+4^2}\sin(2\pi t + \tan^{-1}\frac{15}{4})

b) The amplitude is \sqrt[]{15^2+4^2} = \sqrt[]{241}. Since 2\pi rad/s = 1 Hz the frequency is 1 Hz. The period is given by \frac{2\pi}{2\pi} = 1.

c) The function's graph is attached

7 0
3 years ago
Read 2 more answers
Please help!!!!!!!!!!!!!
aivan3 [116]

Answers:

  • A
  • C
  • D

Step-by-step explanation:

<em>We must simplify each option to see if they are equivalent to -\frac{3}{8}.</em>

<em>Lets try A.</em>

-\frac{6}{16} can be simplified to -\frac{3}{8} by dividing both the numerator and denominator by 3.

-\frac{6}{16} ÷ \frac{3}{3} = -\frac{3}{8}

A is correct!

<em>Lets try B</em>

\frac{12}{32} simplifies to \frac{3}{8}. However, because this answer is not negative, it is not equivalent.

<em>Lets try C</em>

There is a negative in the numerator, making this fraction negative. So yes, \frac{-3}{8} = -\frac{3}{8}.

  • Bonus Info: If there was a negative in both the numerator and denominator, the two negatives would cancel eachother out, making the fraction positive

C is correct!

<em>Lastly, Lets try D</em>

There is a negative in the denominator, so this fraction is negative. \frac{9}{-24} can be simplified by dividing by 3 to -\frac{3}{8}.

\frac{9}{-24} ÷3 = -\frac{3}{8}

D is correct!

  • Hope this helped you!~

<em />

6 0
3 years ago
Allie hits the ball 45% of the time
solong [7]

Answer:36 times hope it helps

Step-by-step explanation:

7 0
3 years ago
A pencil cup is a cylinder made of plastic with one base missing. The cup is 5 inches tall and has a radius of 1.75 inches. Appr
wariber [46]

Answer:

74.22

Step-by-step explanation:

a pencil cup is like a cylinder

A=2πrh+2πr2=2·π·1.75·5+2·π·1.752≈74.22013

hope this helps

correct me if this is wrong

3 0
3 years ago
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