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3 years ago

Another easy one

1 answer:

4 0

The limit is equivalent to the value of the derivative of $\cos x$ at $x=\dfrac\pi2$ . (See definition of derivative)

$(\cos x)'=-\sin x\implies (\cos x)'\bigg|_{x=\pi/2}=-\sin\dfrac\pi2=-1$

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.The price of a MP3 Player decreases from $382 to $261.50.find the percentage decrease in its price

FinnZ [79.3K]

The percent of change = ((new value - old value) / old value) × 100%

Our new value = $261.50

Our old value = $382

Plug our values into the equation above.

(($261.50 - $382) / $382) × 100% = -31.54%

8 0

4 years ago

Read 2 more answers

At a track meet, Tim ran at a constant speed of 300 meters per minute. After 8 minutes, he still had 600 meters left to run. The

gregori [183]

Okay so 300 meters per minute and he ran 8 minutes..

300x8=2400

He still had 600 left to go...

2400+600=3,000

He had to run three times longer than Eric...

3000/3=1000

Does that make sense?

8 0

3 years ago

A department store sells a pair of shoes with an 87% markup. If the store bought the pair of shoes for $55.25, what is the selli

kolbaska11 [484]

Markup means they sell it for that percentage more than they bought it for. First let's calculate how much they will mark it up for:

$\sf 55.25\cdot 87\%$

Convert 87% into a decimal(87/100):

$\sf 55.25\cdot 0.87$

Multiply:

$\sf\approx 48$

This is how much they'll mark it up, now let's add it to how much they bought it for to find out the selling price:

$\sf 48+55.25\approx\boxed{\sf \$ 103}$

5 0

3 years ago

Solve for x.<br> y=x-12<br> y= 14

masya89 [10]

Answer:

Step-by-step explanation:

Check answer:

14+12= 26

26-12=14

8 0

3 years ago

Read 2 more answers

In ΔUVW, w = 3 inches, ∠W=23° and ∠U=73°. Find the length of u, to the nearest 10th of an inch.

kirza4 [7]

Answer:

<h2>7.4inches</h2>

Step-by-step explanation:

Check the attachment for the diagram. Sine rule will be used to get the unknown side of the triangle.

According to the rule;

$\frac{u}{sinU} = \frac{v}{sinV} = \frac{w}{sinW}\\\frac{u}{sinU} = \frac{w}{sinW}$

Given w = 3 in, ∠W=23° and ∠U=73°, on substituting into the equation above to get u we have;

$\frac{u}{sin73^{0} } = \frac{3}{sin23^{0} }\\usin23^{0} = 3sin73^{0}\\u = \frac{3sin73^{0} }{sin23^{0} }\\u = \frac{2.87}{0.39} \\u = 7.358\\u = 7.4in$

The length of u is 7.4inches to nearest 10th of an inch

6 0

3 years ago