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soldi70 [24.7K]
3 years ago
14

$34 plus 7.375% sales tax =

Mathematics
1 answer:
Norma-Jean [14]3 years ago
4 0
34 x 0.07375= 2.5075

2.5075 + 34 =36.51

or

34×1.07375=36.51
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Help this is due tomorrow
Helen [10]
-4.4(s - 2) + 6.9s = 14.8

Distribute -4.4 into the parenthesis:

-4.4s + 8.8 + 6.9s = 14.8

Combine like terms:
2.5s + 8.8 = 14.8

Subtract 8.8 from both sides of the equation:

2.5s + 8.8 - 8.8 = 14.8 - 8.8

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Divide both sides by 2.5:

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\frac{1}{2} \ x \  \frac{1}{2} \ x \  \frac{1}{2}= \frac{1}{8}
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50. If angles are complementary, what’s value of x?
maks197457 [2]

Answer:

x = 14

Step-by-step explanation:

For complementary angles, the sum of two angles is equal to 90 degrees.

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m\angle ABC = 4x-10\\\\m\angle DBC = x+30

ATQ,

4x-10+x+30=90

Taking like terms together,

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5x = 70

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*Be sure to simplify fractions and rationalize denominators if necessary.
m_a_m_a [10]

As given by the question

There are given that the vector:

\vec{v}=\vec{2i}+\vec{3j}

Now,

From the formula to find the unit vector in same direction is:

\vec{u}=\frac{\vec{v}}{\lvert\vec{v}\rvert}

Then,

\begin{gathered} \vec{u}=\frac{\vec{v}}{\lvert\vec{v}\rvert} \\ \vec{u}=\frac{\vec{2i}+\vec{3j}}{\lvert\vec{2i}+\vec{3j}\rvert} \\ \vec{u}=\frac{\vec{2i}+\vec{3j}}{\lvert\sqrt[]{2^2+3^2}\rvert} \end{gathered}

Then,

\begin{gathered} \vec{u}=\frac{\vec{2i}+\vec{3j}}{\sqrt[]{2^2+3^2}} \\ \vec{u}=\frac{\vec{2i}+\vec{3j}}{\sqrt[]{4+9}} \\ \vec{u}=\frac{\vec{2i}+\vec{3j}}{\sqrt[]{13}} \end{gathered}

Then,

Rationalize the denominator:

So,

\begin{gathered} \vec{u}=\frac{\vec{2i}+\vec{3j}}{\sqrt[]{13}} \\ \vec{u}=\frac{\vec{2i}+\vec{3j}}{\sqrt[]{13}}\times\frac{\sqrt[]{13}}{\sqrt[]{13}} \\ \vec{u}=\frac{\vec{\sqrt[]{13}(2i}+\vec{3j})}{13} \\ \vec{u}=\frac{2\sqrt[]{13}}{13}i+\frac{3\sqrt[]{13}}{13}j \end{gathered}

Hence, the unit vector is shown below:

\vec{u}=\frac{2\sqrt[]{13}}{13}i+\frac{3\sqrt[]{13}}{13}j

6 0
1 year ago
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