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Mars2501 [29]
3 years ago
9

Vector v has a direction of (-4,27) find the direction angle for v

Mathematics
1 answer:
mixas84 [53]3 years ago
8 0
\bf \begin{array}{lclll}
\ \textless \ &-4&,&27\ \textgreater \ \\
&\uparrow &&\uparrow \\
&a&&b
\end{array}\qquad tan(\theta)=\cfrac{b}{a}\implies \measuredangle \theta=tan^{-1}\left( \frac{b}{a} \right)
\\\\\\
\measuredangle \theta=tan^{-1}\left( \frac{27}{-4} \right)
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Find the zeros of y = x + 6x- 4 by completing the square.
dsp73

Answer:

\large\boxed{x=-3\pm\sqrt{13}}

Step-by-step explanation:

(a+b)^2=a^2+2ab+b^2\qquad(*)\\\\\\x^2+6x-4=0\qquad\text{add 4 to both sides}\\\\x^2+2(x)(3)=4\qquad\text{add}\ 3^2=9\ \text{to both sides}\\\\\underbrace{x^2+2(x)(3)+3^2}_{(*)}=4+9\\\\(x+3)^2=13\Rightarrow x+3=\pm\sqrt{13}\qquad\text{subtract 3 from both sides}\\\\x=-3\pm\sqrt{13}

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3 years ago
What is the supplement of 123°
makkiz [27]
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What percentage of the rectangular sheets of cardboard will be wasted because it is not part of the box and will be discarded wh
irina1246 [14]
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8 0
3 years ago
A scientist measures the angle x and the distance y between the Earth and the Sun. Using complete sentences, explain how the sci
Artyom0805 [142]

The scientist can use only the angle x and the distance y to calculate the distance between the Earth and the Sun using the cosine function.

cos x = BC / y

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5 0
3 years ago
If 2 apple and 5 bananas cost 4.20 dollars and 3 apples and 4 bananas coke 4.So dollars what is the price of a apple and banana
e-lub [12.9K]

Answer:

An apple costs $0.45 and a banana costs $0.66.

Step-by-step explanation:

This question is solved by a system of equations.

I am going to say that:

An apple costs x.

A banana costs y.

2 apple and 5 bananas cost 4.20 dollars

This means that:

2x + 5y = 4.2

So

2x = 4.2 - 5y

x = 2.1 - 2.5y

3 apples and 4 bananas cost 4.

This means that:

3x + 4y = 4

Since x = 2.1 - 2.5y

3(2.1 - 2.5y) + 4y = 4

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y = \frac{2.3}{3.5}

y = 0.66

Then:

x = 2.1 - 2.5(0.66) = 0.45

An apple costs $0.45 and a banana costs $0.66.

7 0
2 years ago
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