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3 years ago

If Amber pays $55 for a pair of shoes, what would the discount be if the original price for Amber's shoes is $72.00?

Mathematics

1 answer:

baherus [9]3 years ago

8 0

Answer: 76%
Explanation: 55/72.00 x __/100= 5,500
5,500 divided by 72.00= 76.3888889

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Which quadrilaterals have parallel opposite sides? Select all that apply.

Brrunno [24]

Parallelogram square rectangle

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3 years ago

Solve <br>|-4b-8|+|-1-b^2|+2b^3. b= -2<br>show steps please .

evablogger [386]

Ok, first put in the -2 for each b. That gives:
|-4(-2)-8|+|-1(-(-2))^2|+2(-2)^3
Let's do each section.
The first section is |-4(-2)-8)|
-4 times -2 is 8, minus 8 is 0. The absolute value of 0 is still 0.
Now we move on to |-1(-(-2))^2)|
First we do exponents
-(-2) is 2, and 2^2 is 4. 4 times -1 is -4. The absolute value of -4 is 4
Now the last section, 2(-2)^3
Exponents first: (-2)^3 is -2 * -2 * -2, which is -8.
-8*2=-16.
0+4+(-16)=-12

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3 years ago

Find the area of a regular octagon with apothem of 8.45 cm and a side length of 7 cm

levacccp [35]

Step-by-step explanation:

<h3>Area of octagon = 2(1+√2)a²</h3><h3> = 2(1+√2)7²</h3><h3> = 236.59cm²</h3>

<h2>MARK ME AS BRAINLIST</h2>

4 0

3 years ago

The graphs of the polar curves r = 4 and r = 3 + 2cosθ are shown in the figure above. The curves intersect at θ = π/3 and θ = 5π

Gennadij [26K]

(a)

$\displaystyle \frac{1}{2} \cdot \int_{\frac{\pi}{3}}^{\frac{5\pi}{3}} \left(4^2 - (3 + 2\cos\theta)^2 \right) \, d\theta$

or, via symmetry

$\displaystyle\frac{1}{2} \cdot 2 \int_{\frac{\pi}{3}}^{\pi} \left(4^2 - (3 + 2\cos\theta)^2 \right) \, d\theta$

____________

(b)

By the chain rule:

$\displaystyle \frac{dy}{dx} = \frac{ dy/ d\theta}{ dx/ d\theta}$

For polar coordinates, x = rcosθ and y = rsinθ. Since
<span>r = 3 + 2cosθ, it follows that

$x = (3 + 2\cos\theta) \cos \theta \\ 
y = (3 + 2\cos\theta) \sin \theta$

Differentiating with respect to theta

$\begin{aligned}
\displaystyle \frac{dy}{dx} &= \frac{ dy/ d\theta}{ dx/ d\theta} \\
&= \frac{(3 + 2\cos\theta)(\cos\theta) + (-2\sin\theta)(\sin\theta)}{(3 + 2\cos\theta)(-\sin\theta) + (-2\sin\theta)(\cos\theta)} \\ \\
\left.\frac{dy}{dx}\right_{\theta = \frac{\pi}{2}}
&= 2/3
\end{aligned}$

2/3 is the slope

____________

(c)

"</span><span>distance between the particle and the origin increases at a constant rate of 3 units per second" implies dr/dt = 3

A</span>ngle θ and r are related via <span>r = 3 + 2cosθ, so implicitly differentiating with respect to time

</span><span /> $\displaystyle\frac{dr}{dt} = -2\sin\theta \frac{d\theta}{dt} \quad \stackrel{\theta = \pi/3}{\implies} \quad 3 = -2\left( \frac{\sqrt{3}}{2}}\right) \frac{d\theta}{dt} \implies \\ \\ \frac{d\theta}{dt} = -\sqrt{3} \text{ radians per second}$

5 0

3 years ago

Sati [7]

Answer:

Step-by-step explanation:

The translation of the question is as shown;

First note that the original number is 35

The sum of 35 and one-fifth part of itself .

= 35 + 1/5(35)

= 35+7

= 42 ... A

sum of one-seventh part of itself and 3 will be;

= 1/7(35) + 3

= 5+3

= 8... B

Adding A and B together wiill give us the final result

A+B = 42+8

A+B = 50

The sum of 35 and one-fifth part of itself added to the sum of one-seventh

part of itself and 3 is therefore equivalent to 50

5 0

3 years ago