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sp2606 [1]
3 years ago
13

The figure is a parallelogram.

Mathematics
2 answers:
spin [16.1K]3 years ago
7 0
The answer will be C, 40 degrees
Nonamiya [84]3 years ago
4 0
I hope this helps you



m (ACD)=m (ABD)



4x+4=6x-14



2x=18


x=9



m (ACD)=4x+4 =4.9+4=40
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Dana drives her car 12 miles in 30 minutes...<br> Find the number of miles she drives in 1 hour
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24

Step-by-step explanation:

12 miles is done in 30 minutes, so if you multiply 12 x 2 (because 30+30=60 and 60 minutes = an hour) you would get the answer of 24.

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2 years ago
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
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blsea [12.9K]

Answer:

He can pay for the membership for 9 months.

Step-by-step explanation:

Divide 315 by 35, and then you get your answer.

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3 years ago
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An item on sale costs 85% of the original price. The original price was $55.
son4ous [18]

Answer:

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The amount the sale item costs now is 0.85($55) = $46.75.

That 85% is equivalent to 0.85.

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7 is 28% of what number
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25 hope it helps have a great day :)
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