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koban [17]
3 years ago
15

A pair of designer sunglasses was marked up 10% and is now selling for $165.00. What was the original price of the sunglasses?

Mathematics
2 answers:
notsponge [240]3 years ago
7 0

i think the answer was $150

ICE Princess25 [194]3 years ago
5 0
X+(x*0.1)=165
Solve for x
X=150
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Solve the equation on the interval [0,2π). cos^4x=cos^4xcscx
Alisiya [41]
\bf cos^4(x)=cos^4(x)csc(x)\\\\
-----------------------------\\\\
cos^4(x)=cos^4(x)\cfrac{1}{sin(x)}\implies cos^4(x)=\cfrac{cos^4(x)}{sin(x)}
\\\\\\
cos^4(x)sin(x)=cos^4(x)\implies cos^4(x)sin(x)-cos^4(x)=0
\\\\\\
cos^4(x)[sin(x)-1]=0\to 
\begin{cases}
cos^4(x)=0\to x=cos^{-1}(0)\\
----------\\
sin(x)-1=0\\
sin(x)=1\to x=sin^{-1}(1)
\end{cases}

\bf \measuredangle x = cos^{-1}(0)\implies \measuredangle x = 
\begin{cases}
\frac{\pi }{2}\\\\
\frac{3\pi }{2}
\end{cases}
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\measuredangle x=sin^{-1}(1)\implies \measuredangle x=\frac{\pi }{2}

3 0
3 years ago
Given the function g(x)= -x^2 + x + 5, determine the average rate of change of the function over the interval -4 ≤ x ≤ 3.​
OleMash [197]

Answer:

The average rate of change is 2.

Step-by-step explanation:

We are given the function:

g(x)=-x^2+x+5

And we want to find the average rate of change over the interval:

-4\leq x\leq 3

The average rate of change is synonymous with the slope. So, we will evaluate the function at its endpoints and find the slope between them.

Our first endpoint is given by:

g(-4)=-(-4)^2+(-4)+5=-15

And our second endpoint is given by:

g(3)=-(3)^2+(3)+5=-1

This gives us two points (-4, -15) and (3, -1). The average rate of change will be the slope between them. Thus:

\displaystyle ARC=\frac{-1-(-15)}{3-(-4)}=\frac{14}{7}=2

The average rate of change is 2.

8 0
3 years ago
AP:2,x,26.<br> Find the value of x
Virty [35]

2,x, 26 are in A. P.

a2-a1 = a3-a2

x-2 = 26-x

2x = 26+2

2x = 28

<em>So  x = 14.</em>

3 0
3 years ago
A right triangular prism is constructed so that its height is equal to the leg length of the base.
Effectus [21]

Answer:

V = \frac{1}{2} x^{3}  cubic units

Step-by-step explanation:

Given the information

  • A right triangular prism has the height is equal to the leg length of the base.
  • The right triangles have 2 sides with a length of x

=> the height  = x  

As we know, the formula used to determine the volume of a right triangular prism is:

V = The base area * the height

In this situation, we have

V = (\frac{1}{2} *x*x)*x

<=> V = \frac{1}{2} x^{3} cubic units  

Hope it will find you well

6 0
4 years ago
What is the reason for statement 3 in this proof?
const2013 [10]

Answer:

A. Definition of angle bisector

Step-by-step explanation:

Given that ΔABC is an isosceles triangle where AB = BC, and that BD bisects ∠ABC, then by the definition of angle bisection of ∠ABC, we have;

m∠ABD = m∠CBD

The correct option is option A. Definition of angle bisector

<em>Also, given that ΔABC is an isosceles triangle and BD is the angle bisector of ∠ABC, we get;</em>

<em>AD = CD and BD = BD</em>

<em>We can therefore, also find that ΔABD ≅ ΔCBD by Side Side Side (SSS) rule of congruency</em>

3 0
3 years ago
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