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algol13
3 years ago
12

Eric bought a canoe for $329.99. The sales tax was 5%. What is the total cost including tax?

Mathematics
2 answers:
Lunna [17]3 years ago
8 0
346.49 or 346.48

You have to find the tax by moving the decimal 2 to the right then multiplying it by the total which gives the tax so you just have to add it to the original cost
Olin [163]3 years ago
3 0

Answer:

c

Step-by-step explanation:

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Solve the equation on the interval [0,2π]
WARRIOR [948]
\bf 16sin^5(x)+2sin(x)=12sin^3(x)
\\\\\\
16sin^5(x)+2sin(x)-12sin^3(x)=0
\\\\\\
\stackrel{common~factor}{2sin(x)}[8sin^4(x)+1-6sin^2(x)]=0\\\\
-------------------------------\\\\
2sin(x)=0\implies sin(x)=0\implies \measuredangle x=sin^{-1}(0)\implies \measuredangle x=
\begin{cases}
0\\
\pi \\
2\pi 
\end{cases}\\\\
-------------------------------

\bf 8sin^4(x)+1-6sin^2(x)=0\implies 8sin^4(x)-6sin^2(x)+1=0

now, this is a quadratic equation, but the roots do not come out as integers, however it does have them, the discriminant, b² - 4ac, is positive, so it has 2 roots, so we'll plug it in the quadratic formula,

\bf 8sin^4(x)-6sin^2(x)+1=0\implies 8[~[sin(x)]^2~]^2-6[sin(x)]^2+1=0
\\\\\\
~~~~~~~~~~~~\textit{quadratic formula}
\\\\
\begin{array}{lcccl}
& 8 sin^4& -6 sin^2(x)& +1\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array} 
\qquad \qquad 
sin(x)= \cfrac{ -  b \pm \sqrt {  b^2 -4 a c}}{2 a}
\\\\\\
sin(x)=\cfrac{-(-6)\pm\sqrt{(-6)^2-4(8)(1)}}{2(8)}\implies sin(x)=\cfrac{6\pm\sqrt{4}}{16}
\\\\\\
sin(x)=\cfrac{6\pm 2}{16}\implies sin(x)=
\begin{cases}
\frac{1}{2}\\\\
\frac{1}{4}
\end{cases}

\bf \measuredangle x=
\begin{cases}
sin^{-1}\left( \frac{1}{2} \right)
sin^{-1}\left( \frac{1}{4} \right)
\end{cases}\implies \measuredangle x=
\begin{cases}
\frac{\pi }{6}~,~\frac{5\pi }{6}\\
----------\\
\approx~0.252680~radians\\
\qquad or\\
\approx~14.47751~de grees\\
----------\\
\pi -0.252680\\
\approx 2.88891~radians\\
\qquad or\\
180-14.47751\\
\approx 165.52249~de grees
\end{cases}
3 0
3 years ago
The length of a rectangle is 5 inches shorter than double its width. The perimeter of the rectangle is 192 inches. Write a two-s
alukav5142 [94]

Answer:

Step-by-step explanation:

Givens

Let the width = x

Let the length = x + 5

Equation

2w + 2W = P

Solution

2x + 2(x + 5) = 192                  Remove the brackets    <=== Answer

2x + 2x + 10 = 192                  Combine like terms

4x + 10 = 192                          Subtract 10 from both sides

4x = 192 - 10                        

4x = 182                                 Divide by 4

4x/4 = 182/4

x = 45.5

8 0
2 years ago
Please helppppp !!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
LuckyWell [14K]

Answer:

BH = 16

Step-by-step explanation:

The centroid theorem states that the centroid of a triangle is 2/3 of the distance from a vertex to the midpoint of the opposite side.

That means that BH is 2/3 of the length BF.

BH = (2/3)(BF)

BH = (2/3)(24)

BH = 16

7 0
3 years ago
Drag statements and reasons to each row to show why the slope of the line between P and Q is the same as the slope between Q and
Delvig [45]

hi i know i’m late but to help out any future people, the answer is

Row One: Statement: 3/2=slope Reason: Definition of Slope

Row 2: Statement: 3/2=6/4 Reason: Triangle A is similar to Triangle B

5 0
3 years ago
Read 2 more answers
El patrimonio de la empresa El Cedro es de Q187,000.00 y el pasivo es de Q69,852.00. ¿A cuanto asciende el activo?
mart [117]

Answer:

neecto por que los originales ves averlos

es duhStep-by-step explanation:

6 0
2 years ago
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