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Veseljchak [2.6K]
3 years ago
12

What is the area of the triangle in the diagram?

Mathematics
2 answers:
Kryger [21]3 years ago
8 0

Answer:

B

Step-by-step explanation:

To calculate the area of this triangle we must use vectors :

  • vector1 (x1-0,y1-0)⇒ vector1(x1,y1)
  • vector2 (x2-0,y1-0)⇒vector(x2,y1)

Now to calculte the area of this triangle we must apply this relation :

A= (1/2)*║x1y1-x2y2║

  • x2≥x1 so ⇒ A=(1/2)*(x2y1-x1y1)
  • A= (1/2)*y1*(x2-x1)

amm18123 years ago
7 0

Answer:

I think the answer is B. Let me know if im right

Step-by-step explanation:

l*w*1/2 is the same as 1/2*y*(x2-x1)

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3 years ago
Select the correct answer.
masya89 [10]

Answer:

D

Step-by-step explanation:

Either try all the numbers and see which ones work or do the following.

Times both sides by 2x-5.

3=x(2x-5)=2x^2-5x

Rearrange and solve the quadratic. I will factorise.

2x^2-5x-3=0

(2x+1)(x-3)=0

so x = -1/2 or 3

6 0
3 years ago
Find the interest due on &1,400 at 9% for 270 days
Dimas [21]
Answer:
Interest = $93.205

Explanation:
Interest can be calculated as follows:
I = Prt
where:
I is the interest we want to canlculate
P is the principle amount = $1400
r is the interest rate in decimal = 9% = 0.09
t is the time in years = 270/365

Substitute with the givens in the above equation to get the value of the interest as follows:
I = 1400 * 0.09 * (270/365)
I = $93.205

Hope this helps :)
6 0
3 years ago
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fredd [130]
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6 0
3 years ago
Myra is a scientist and needs 45 gallons of a 16% acid solution. The lab is currently stocked only with a 20% acid solution and
asambeis [7]

Answer:

The volume of the solution with 20% acid is 27 gallons and the one with 10% acid is 18 gallons

Step-by-step explanation:

Myra needs to mix "x" gallons of the solution with 20% and "y" gallons of the solution with 10%. The volume of the final solution must be 45 gallons, therefore:

x + y = 45

The concentration of acid of the final solution is:

0.2*x + 0.1*y = 45*0.16

0.2*x + 0.1*y = 7.2

Therefore we have a system of equation:

x + y = 45

0.2*x + 0.1*y = 7.2

We need to multiply the first equation by -0.1:

-0.1*x -0.1*y = -4.5

0.2*x + 0.1*y = 7.2

We now sum both equation:

0.1*x = 2.7

x = 2.7/0.1 = 27 gallons

y = 45 - 27  = 18 gallons

6 0
3 years ago
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