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Lelechka [254]
2 years ago
4

Lisa is traveling down the highway at 60 miles per hour. Which expression shows the distance she will have traveled after h hour

s?
A.
60 + h
B.
60 × h
C.
60 - h
D.
60 ÷ h
Mathematics
2 answers:
Sladkaya [172]2 years ago
8 0
B 60 x h 60 mph x 2 h would be 120 so it shows the distance traveled
Ilya [14]2 years ago
5 0

Answer:

B.

60 x h

Step-by-step explanation:

Because in she can 60 mph so for every hour she can drive 60 miles. And to find out the total miles she can drive in <em>h</em> hours we would have to multiply

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Prove that (sec 12A-1)/(sec 6A-1)=tan 12A/tan 3A
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Let x=3A. Recall the following identities,

\cos^2\theta=\dfrac{1+\cos2\theta}2

\sin^2\theta=\dfrac{1-\cos2\theta}2

\sin2\theta=2\sin\theta\cos\theta

Now,

\dfrac{\sec12A-1}{\sec6A-1}=\dfrac{\sec4x-1}{\sec2x-1}

=\dfrac{\cos2x(1-\cos4x)}{\cos4x(1-\cos2x)}

=\dfrac{2\cos2x\sin^22x}{\cos4x(1-\cos2x)}

=\dfrac{2\cos2x\sin^22x(1+\cos2x)}{\cos4x(1-\cos^22x)}=\dfrac{2\cos2x\sin^22x(1+\cos2x)}{\cos4x\sin^22x}=\dfrac{2\cos2x(1+\cos2x)}{\cos4x}

=\dfrac{4\cos2x\cos^2x}{\cos4x}

=\dfrac{4\cos2x\cos^2x\sin4x}{\cos4x\sin4x}=\dfrac{4\cos2x\cos^2x\tan4x}{\sin4x}

=\dfrac{4\cos2x\cos^2x\tan4x}{2\sin2x\cos2x}=\dfrac{2\cos^2x\tan4x}{\sin2x}

=\dfrac{2\cos^2x\tan4x}{2\sin x\cos x}=\dfrac{\cos x\tan4x}{\sin x}

=\dfrac{\tan4x}{\frac{\sin x}{\cos x}}=\dfrac{\tan4x}{\tan x}=\dfrac{\tan12A}{\tan3A}

QED

5 0
2 years ago
Macy plans to buy a TV during the Black Friday Sale. All TV's are advertised as 25% off of the original price, before tax. Which
snow_lady [41]
A because p+ 0.25p is the right answer
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2 years ago
Dmitri wants to cover the top and sides of the box shown with glass tiles that are 3 5 mm square How many tiles does he need 20
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so in total we have:
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if we express this quantity in mm^2 we have:
<span>1cm² = 100 mm²</span>total = 930*100 = 93000 mm^2
so if the tiles are 5 mm^2 we need:
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Arrivals at a fast-food restaurant follow a Poisson distribution with a mean arrival rate of 16 customers per hour. In the study of statistics and probability, the Poisson distribution is a widely-used discrete probability distribution. Using the formula, it was determined that 0.0661 is the probability that in the next hour there will be exactly 12 arrivals.
8 0
2 years ago
The following diagram shows parallel lines cut be a transversal. What is the measure of Angle 2?
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2(15) + 100 = 130

180-130 = 50

so angle 2 is 50 degrees

3 0
2 years ago
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