A store pays $85 for a table. The markup is 90%. What is the selling price?

Divide (6y2 + lly + 3) by (3y + 1).<br> A. 2y2 + 1<br> B. 2y2 + 3<br> C. 2y + 3<br> D. 2y + 1

sveticcg [70]

Answer:

ether:

y= 1/3 = 0.333

OR

y= 3/2 = 1.500

8 0

3 years ago

Sarah had 36 free throw attempts during a game and made at least 75% of the free throws.

user100 [1]

Answer:

9 free-throws

Step-by-step explanation:

75% of 36 = 27

36-27=9

She could have missed up to nine free throws

5 0

3 years ago

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Sean is helping his dad build a tiled walkway in their backyard. The walkway will be 60 feet long and 2 feet wide. The local har

ddd [48]

First draw a rectangle. Label the length and the width. Then multiply 60 and 2. Once finished take a ruler and start drawing the tiles in the rectangle. If there are 12 tiles then you will need two boxes. If there are six tiles, then you will need one box. It's simple, just focus! Good luck.

5 0

3 years ago

Given that sec (x) = 2 and cosec (x) is negative,

weeeeeb [17]

Answer:

i) sin(2x) = $-\frac{\sqrt{3}}{2}$

ii) cot(x+360) = $-\frac{\sqrt{3}}{3}$

iii) sin(x-180) = $\frac{\sqrt{3}}{2}$

Step-by-step explanation:

sec(x) = 2

Since cos(x) is reciprocal of sec(x), this means:

cos(x) = $\frac{1}{2}$

cosec(x) is negative , this means sin(x) is also negative. The only quadrant where cos(x), sec(x) are positive and sin(x), cosec(x) are negative is the 4th quadrant. Hence the terminal arm of the angle x is in 4th quadrant.

Part i)

sin(2x) can be simplified as:

sin(2x) = 2 sin(x) cos(x)

First we need to find the value of sin(x). According to Pythagorean identity:

$sin^{2}(x)=1-cos^{2}(x)\\\\ sin(x)=\pm \sqrt{1-cos^{2}(x)}$

Since, angle is in 4th quadrant, sin(x) will be negative. So considering the negative value of sin(x) and substituting the value of cos(x), we get:

$sin(x)=- \sqrt{1-cos^{2}(x)}\\\\ sin(x)=-\sqrt{1-(\frac{1}{2})^{2}}\\\\ sin(x)=-\frac{\sqrt{3}}{2}$

So,

$sin(2x)=2 \times -\frac{\sqrt{3} }{2} \times \frac{1}{2}\\\\ sin(2x)=-\frac{\sqrt{3}}{2}$

Part ii)

We have to find cot(x + 360)

An addition of 360 degrees to the angle brings it back to the same terminal point. So the trigonometric ratios of the original angle and new angle after adding 360 or any multiple of 360 stay the same. i.e.

cot(x + 360) = cot(x)

$cot(x) = \frac{cos(x)}{sin(x)}\\$

Using the values, we get:

$cot(x)=\frac{\frac{1}{2}}{-\frac{\sqrt{3}}{2} }\\\\ cot(x)=-\frac{\sqrt{3}}{3}$

Part iii)

We need to find the value of sin(x - 180)

sin(x - 180) = - sin(x)

Addition or subtraction of 180 degrees changes the angle by 2 quadrants. The sign of sin(x) becomes opposite if the angle jumps by 2 quadrants. For example, sin(x) is positive in 1st quadrant and negative in 3rd quadrant.

So,

sin(x - 180) = $-(-\frac{\sqrt{3}}{2}) = \frac{\sqrt{3}}{2}$

6 0

3 years ago

HELP! I need answer quick! Emily wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 6 and widt

zalisa [80]

Answer: 350 length 200 width

Step-by-step explanation: i did 6x50 then 4x50

4 0

3 years ago

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