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Amiraneli [1.4K]
2 years ago
6

A vector v has an initial (2,-3) point and terminal point (3,-4) Write in component form.

Mathematics
1 answer:
asambeis [7]2 years ago
3 0

The vector in component form is given by:

V = i - j.

<h3>How to find a vector?</h3>

A vector is given by the <u>terminal point subtracted by the initial point</u>, hence:

(3,-4) - (2, -3) = (3 - 2, -4 - (-3)) = (1, -1)

<h3>How a vector is written in component form?</h3>

A vector (a,b) in component form is:

V = a i + bj.

Hence, for vector (1,-1), we have that:

V = i - j.

More can be learned about vectors at brainly.com/question/24606590

#SPJ1

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My friend sets out walking at a speed of $3$ miles per hour. I set out behind her $5$ minutes later at $4$ miles per hour. When
r-ruslan [8.4K]

Answer:  The answer is 0.25 miles.


Step-by-step explanation:  Given that my friend started walking at a speed of 3 miles per hour and I started 5 minutes after him at a speed of 4 miles per hour. We need to find the number of miles my friend travelled when I started walking.

Since I started 5 minutes after than my friend, so we are to find the distance travelled by my friend in 5 minutes.

In 1 hour, i.e., 60 minutes, distance travelled by my friend = 3 miles.

In 1 minute, distance travelled by my friend is

\dfrac{3}{60}=\dfrac{1}{20}~\textup{miles}.

Therefore, distance travelled by my friend in 5 minutes will be

\dfrac{1}{20}\times 5=\dfrac{1}{4}=0.25~\textup{miles}.

Thus, the answer is 0.25 miles.

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K12 math work need help MARK CROWN JUST NEED HELP
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Please help me with this.
zheka24 [161]

The sin A is equal to 12/13 and the tan (A) is equal to 12/5.

<h3>RIGHT TRIANGLE</h3>

A triangle is classified as a right triangle when it presents one of your angles equal to 90º.  The greatest side of a right triangle is called hypotenuse. And, the other two sides are called cathetus or legs.

The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios or the Pythagorean Theorem.

The Pythagorean Theorem says: hypotenuse^2=(leg_1)^2+(leg_2)^2. And the main trigonometric ratios are:

sin(\beta )= \frac{opposite\;leg}{hypotenuse} \\ \\ cos(\beta )= \frac{adjacent\;leg}{hypotenuse} \\ \\ tan(\beta )= \frac{opposite\;leg}{adjacent\;leg} \\ \\

The question gives cos (A)=5/13. If cos (A) is represented by the quotient between the adjacent leg and the hypotenuse, you have:

adjacent leg=5

hypotenuse=13

Therefore, you can find the opposite leg of A from Pythagorean Theorem, see below.

hypotenuse^2=(leg_1)^2+(leg_2)^2\\ \\ 13^2=5^2+(leg_2)^2\\ \\ 169=25+(leg_2)^2\\ \\ 144=(leg_2)^2\\ \\ leg_2=12

Thus, the opposite leg is equal to 12. Now, you can find sin (A) since:

sin(A)= \frac{opposite\;leg}{hypotenuse}=\frac{12}{13}

Finally, you can find the tan (A) since:

tan(a )= \frac{opposite\;leg}{adjacent\;leg}=\frac{12}{5}

Learn more about trigonometric ratios here:

brainly.com/question/11967894

#SPJ1

7 0
2 years ago
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