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Kamila [148]
3 years ago
12

I need help tyx so much

Mathematics
2 answers:
nexus9112 [7]3 years ago
8 0

To solve this problem, we need to figure out how much tax Peter will be paying, given that the tax rate is 10% and his purchase costs $66.30.

To do this, we must first convert 10% into a decimal.  To do this, we must divide it by 100 (because it is a fraction out of a total of 100 percent), or simply move the decimal point two places to the left.  Therefore, 10% = 0.10.

To find the tax amount, we must multiply the sales tax rate (10% or 0.10) by the purchase cost ($66.30).  This gives us:

$66.30 * 0.10 = $6.63

Therefore, your answer is $6.63.

(A little tip: the method I used above can be used for any tax rates, but a trick for finding 10 percent of something is to move the decimal point of the cost one place to the left).

Hope this helps!

Zielflug [23.3K]3 years ago
6 0

Answer:

tax = $6.63

Step-by-step explanation:

We can find the tax by multiplying the original amount by the tax rate.

tax rate = 10 % = .1

tax = 66.30 * .10

     = 6.63

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Tanya [424]

Answer:

The triangle is both an Isosceles triangle and a right triangle.

Step-by-step explanation:

Given the vertices of a triangle.

$ P_{1} = (- 1, 4) $

$ P_{2} = (6, 2) $    and

$ P_{3} = (4, - 5) $

We find the distance between all the points to determine the length of each side of the triangle.

Distance between any two points, say, $ (x_1, y_1) $ and $ (x_2, y_2) $ is:

                                 $ \sqrt{\bigg ( \textbf{x}_{\textbf{2}} \hspace{1mm} \textbf{- x}_{\textbf{1}} \bigg )^{\textbf{2}} \textbf{+}   \bigg( \textbf{y}_{\textbf{2}} \hspace{1mm} \textbf{- y}_{\textbf{1}} \bigg)^ {\textbf{2}} $

Length between $ P_1 $ and $ P_{2} $ , (Side 1) :

$ (x_1, y_1) = (- 1, 4) $     and

$ (x_2, y_2) = (6, 2) $

Distance = $ \sqrt{\bigg(6 - (-1) \bigg)^{2} \hspace{1mm} + \hspace{1mm} \bigg( 2 - 4 \bigg )^2 $

$ = \sqrt{7^2 + 2^2} $

$ = \sqrt{49 + 4} $

$ = \sqrt{\textbf{53}} $

Length of Side 1 = $  \sqrt{\textbf{53}} $ units.

Distance between $ P_1 $ and P_2 , (Side 2):

$ (x_1, y_1) = (-1, 4) $

$ (x_2, y_2) = (4, - 5) $

Distance = $ \sqrt{ \bigg( 4 + 1 \bigg)^2 \hspace{1mm} + \bigg( - 5 - 4 \bigg ) ^2 $

$ = \sqrt{ 25 + 81 } $

$ = \sqrt{\textbf{106}} $

Length of Side 2 = $ \sqrt{\textbf{106}} $ units.

Distance between $ P_2 $ and $ P_3 $ , Side 3 :

$ (x_1, y_1) = (4, 5) $

$ (x_2, y_2) = (6, 2) $

Distance = $ \sqrt{ 2^2 \hspace{1mm} + \hspace{1mm} 7^2} $

$ = \sqrt{49 + 4} $

$ = \sqrt{\textbf{53} $

Length of Side 3  = $ \sqrt{\textbf{53}} $ units.

Note that the length of Side 1 = Length of Side 3.

That means the triangle is Isosceles.

Also, For a triangle to be right angle triangle, using Pythagoras theorem we have:

(Side 1)² + (Side 3)² = (Side 2)²

$ \bigg( \sqrt{53} \bigg )^2 \hspace{1mm} + \hspace{1mm} \bigg( \sqrt{53} \bigg)^2 \hspace{1mm} = \hspace{1mm} \bigg ( \sqrt{106} \bigg ) ^2 $

i.e, 53 + 53  = 106

Hence, the triangle is a right - angled triangle as well.

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3 years ago
Pls help me with this
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i think we have to find the answer for terms of a

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The quotient rule for exponents states that bm bn=​_______, b≠0 . When dividing exponential expressions with the same nonzero​ b
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Answer:

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When dividing exponential expressions with the same nonzero​ base, <u>subtract</u> the exponents.

Step-by-step explanation:

Some rules to solve exponents are:

  • x^{0}=1
  • (x^{m})^{n}=x^{mn}
  • x^{-n}=\frac{1}{x^{n}}
  • x^{m}\cdot x^{n}=x^{m+n}
  • \frac{x^{m}}{x^{n}}=x^{m-n}

The quotient rule for exponents states that:

b^{m}\div b^{n}=b^{m-n}.

When dividing exponential expressions with the same nonzero​ base, <u>subtract</u> the exponents.

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5. Find the coordinates of the midpoint of the segment whose endpoints are 1l(6, 4) and K(2. 8).
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Answer:

5. D (4,6)

6. B (7.8)

Step-by-step explanation:

5. Add the two X coordinates (6+2) and divide that by 2 (8/2=4), do the same for the two Y coordinates (4+8=12, 12/2=6)

6. Use the distance formula \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}\\

Input the coordinates \sqrt{(3-8)^{2}+(8-2)^{2}

3 0
3 years ago
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