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2 years ago

13

An item is regularly priced at $40 It is on sale for 30% off the regular price. How much (in dollars) is discounted from the reg

ular price?

1 answer:

Ipatiy [6.2K]2 years ago

5 0

12 dollars is discounted off, making the price 28 dollars.

Step-by-step explanation:

10 percent is 4$, 4×3=12

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Find all solutions in the region [0,2pi) for the equation cos^2(2x)-sin^2(2x)=0

Lynna [10]

$\cos^{2}(2x)-\sin^{2}(2x)=0$
$\rightarrow \sin^{2}(2x)=\cos^{2}(2x)$
$\rightarrow \frac{\sin^{2}(2x)}{\cos^{2}(2x)}=1$
$\rightarrow \tan^{2}(2x)=1$
$\rightarrow \tan(2x)=\pm 1$

$2x$ can range anywhere in $[0, 4\pi)$
So:
$\rightarrow 2x=\frac{\pi}{4}, \frac{3\pi}{4}, \frac{5\pi}{4}, \frac{7\pi}{4}, \frac{9\pi}{4}, \frac{11\pi}{4}, \frac{13\pi}{4}, \frac{15\pi}{4}$
$\rightarrow x=\frac{\pi}{8}, \frac{3\pi}{8}, \frac{5\pi}{8}, \frac{7\pi}{8}, \frac{9\pi}{8}, \frac{11\pi}{8}, \frac{13\pi}{8}, \frac{15\pi}{8}$

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3 years ago

Machine A prints 16 pages more than Machine B in every minute. Machine A and Machine B print a total of 608 pages in 4 minutes.

sweet [91]

1) So the ratio of Machine A to B is x + 16 : x (x being the paper printed in machine b).

2) This is in 4 minutes so every minute it will be 152.

2) So x + 16 + x = 152, or 2x + 16 = 152.

3) So to find x, we can subtract 16 from both sides. 2x = 136

4) Now we just divide both sides by 2 to get x = 68.

5) So machine A will be 68 + 16 = 84.

= 84

⭐ Answered by Foxzy0⭐

⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐

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2 years ago

Read 2 more answers

Help please!! Thank you :)

Softa [21]

My answer that i have gotten is 280

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3 years ago

A scale drawing of a building needs to be made using the scale 1 inequals=270270 ft. How tall will the building in the scale dra

nadezda [96]

Answer:

and i oop

Step-by-step explanation:

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3 years ago

Find a unit vector in the direction of the vector left bracket Start 3 By 1 Matrix 1st Row 1st Column negative 8 2nd Row 1st Col

MrRissso [65]

Answer:

$\left[\begin{array}{c}-\frac{8}{\sqrt{117} } \\\frac{7}{\sqrt{117} }\\\frac{2}{\sqrt{117} }\end{array}\right]$

Step-by-step explanation:

We are required to find a unit vector in the direction of:

$\left[\begin{array}{c}-8\\7\\2\end{array}\right]$

Unit Vector, $\hat{a}=\dfrac{\overrightarrow{a}}{|\overrightarrow{a}|}$

The Modulus of $\overrightarrow{a}$ = $\sqrt{(-8)^2+7^2+(-2)^2}=\sqrt{117}$

Therefore, the unit vector of the matrix is given as:

$\left[\begin{array}{c}-\frac{8}{\sqrt{117} } \\\frac{7}{\sqrt{117} }\\\frac{2}{\sqrt{117} }\end{array}\right]$

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3 years ago