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3 years ago

2) A store is having a Super Bowl sale. Every item in the store is advertised as one fifth off the original price. If

Mathematics

1 answer:

Norma-Jean [14]3 years ago

6 0

$700 because if it was 1/5 of the original, if you multiply by 5, it gives you your answer.

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The perimeter of a rectangle is 50 ft. the length is 1 ft more than the width. what is the length and width

lesya [120]

X+1+X+1+X+X=50
4x+2=50
4x=48
X=12
Width is 12
Length is 13

6 0

3 years ago

The length of a rectangle is three times the width. The perimeter of the rectangle is at most 112cm. Which inequality models the

EleoNora [17]

Answer:

8x⩽112

Step-by-step explanation:

Width of the rectangle (in centimeters) = x

Therefore, the lenght of the rectable is 3x (in centimeters).

The perimeter of the rectangle (in centimeters) is : 2x+2*3x=2x+6x=8x.

The perimeter of the rectangle is at most 112cm, therefore, 8x⩽112.

8 0

3 years ago

Find the value of tan(sin^-1(1/2))

suter [353]

If you know that $\sin\dfrac\pi3=\dfrac12$ , then you know right away

$\tan\left(\sin^{-1}\dfrac12\right)=\tan\dfrac\pi3=\dfrac1{\sqrt}3=\dfrac{\sqrt3}3$

###

Otherwise, you can derive the same result. Let $\theta=\sin^{-1}\dfrac12$ , so that $\sin\theta=\dfrac12$ . $\sin^{-1}$ is bounded, so we know $-\dfrac\pi2\le\theta\le\dfrac\pi2$ . For these values of $\theta$ , we always have $\cos\theta\ge0$ .

So, recalling the Pythagorean theorem, we find

$\cos^2\theta+\sin^2\theta=1\implies\cos\theta=\sqrt{1-\sin^2\theta}=\sqrt{1-\left(\dfrac12\right)^2}=\dfrac{\sqrt3}2$

Then

$\tan\theta=\tan\left(\sin^{-1}\dfrac12\right)=\dfrac{\sin\theta}{\cos\theta}=\dfrac{\frac12}{\frac{\sqrt3}2}=\dfrac1{\sqrt3}=\dfrac{\sqrt3}3$

as expected.

5 0

3 years ago

Read 2 more answers

Write the slope-intercept form of the equation of each line given the slope and y-intercept

amid [387]

The slope-intercept form of the equation for a line is ...
y = (Slope)x + (y-intercept)

Put the given information in the appropriate spot in the equation. Simplify as required.
y = (-1/3)x + 0
can be simplified to

y = (-1/3)x

6 0

3 years ago

If you know how to do this pls help thankyou!

dmitriy555 [2]

Answer : 49

I hope you understand sorry for the ugly writing

4 0

3 years ago