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kobusy [5.1K]
3 years ago
6

Express the vector v with initial point P and terminal point Q in component form.

Mathematics
1 answer:
svetoff [14.1K]3 years ago
8 0

Answer:

P(−2, 5), Q(−8, −2)

=> v = PQ = ( -8 - -2, -2 - 5) = (-6, -7)

Hope this helps!

:)

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Determine two numbers whose product is -40 and sum is 16
prohojiy [21]
I do not think there are any. If you used -20 and 2, which would be close to 16, the sum would be 18.
4 0
3 years ago
If BC= 48 cm and sin
erastovalidia [21]

Using relations in a right triangle, it is found that the length of AC is of 14 cm.

<h3>What are the relations in a right triangle?</h3>

The relations in a right triangle are given as follows:

  • The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
  • The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
  • The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

Researching this problem on the internet, we have that:

  • The opposite leg to angle A is of 48 cm.
  • sin(A) = 0.96.

Hence the hypotenuse is found as follows:

sin(A) = 48/h

0.96 = 48/h

h = 48/0.96

h = 50 cm.

The length of side AC is the other leg of the triangle, found using the Pythagorean Theorem, hence:

x^2 + 48^2 = 50^2

x^2 = \sqrt{50^2 - 48^2}

x = 14 cm.

More can be learned about relations in a right triangle at brainly.com/question/26396675

#SPJ1

6 0
2 years ago
Please I need help step by step
myrzilka [38]
Perimeter = 18.9

If you observe the triangle, you can see that all of its sides are equal. They are all s, or 6.3 mm. This means that to find the perimeter of the triangle, you can do either of two things:

1. You can multiple s by 3.

2. You can add s three times.

Either way, you will get the same answer. 6.3 • 3 = 18.9, and 6.3 + 6.3 + 6.3 = 18.9

If I am understanding the question correctly, then "type" means the type of triangle this triangle is. To figure this out, look at the measurements of the triangle. All of its sides are equal in length. That means that it is an equilateral triangle.

I know some schools like students to write "equilateral acute" triangles, since all of the angles are less than 90˚. If you want to be sure, I'd contact your teacher and ask.

Hope this helps!
5 0
3 years ago
Read 2 more answers
Your friend borrows $100 from you and promises to pay you back $109 in 8 months. What annual percentage rate (A.P.R.) are you ch
NNADVOKAT [17]

Answer:

12.0\%=0.12

Step-by-step explanation:

We have been given that your friend borrows $100 from you and promises to pay you back $109 in 8 months.

We will use simple interest formula to solve our given problem.

A=P(1+rt), where,

A = Amount after t years,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

Convert 8 months to year:

\frac{8}{12}\text{ year}=\frac{2}{3}\text{ year}

108=100(1+r*\frac{2}{3})

108=100+r*\frac{2}{3}\times 100

108-100+r*\frac{200}{3}

108-100=100-100+r*\frac{200}{3}

8=r*\frac{200}{3}

8\times \frac{3}{200}=r*\frac{200}{3}\times \frac{3}{200}

\frac{24}{200}=r

r=\frac{24}{200}

r=0.12

Convert to percent:

0.12\times 100\%=12\%

Therefore, you are charging 12% APR to you friend.

6 0
3 years ago
3. What method is used to denote the following set? A={2,3,5,7,11}
valina [46]

Answer:

listing method

Step-by-step explanation:

pls make me brainliest pls

8 0
3 years ago
Read 2 more answers
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