All categories

3 years ago

Anyone know this ? picture shown please help

Mathematics

1 answer:

valina [46]3 years ago

5 0

They're just after some straightforward algebra starting from the Law of Cosine. We don't have to evaluate any trig functions or anything like that.

$c^2 = a^2 + b^2 - 2ab \cos C$

We move the c² and the cosine term to their other sides,

$2ab \cos C = a^2 + b^2- c^2$

That's it for the algebra.

a,b and c are the side lengths opposite A,B and C respectively. So a=4, b=5, c=2.

We substitute:

$2ab \cos C = 4^2 + 5^2- 2^2 = 16 + 25 - 4 = 37$

Answer: A. 37

You might be interested in

Which of the following is a true proportion of the figure based on the triangle proportionality theorem?

prisoha [69]

Answer:

The correct option is A.

Step-by-step explanation:

When we have two congruent figures, the correspondent sides of the figures are related by the same constant C.

In the case of the image.

h is the left side of the smaller triangle.

h + j is the left side of the larger triangle.

Then we have the relation:

(h + j) = C*h

If we isolate C, we get:

C = (h + j)/h

We can also write this for the other side (the bottom one)

k*C = (k + i)

C = (k + i)/k

Then we have:

(h + j)/h = (k + i)/k

We can rewrite this as:

h/h + j/h = k/k + i/k

1 + j/h = 1 + i/k

We can subtract 1 in each side to get:

j/h = i/k

This is almost the same we can see in option A (its inversed)

If we apply the inverse to both sides, we get:

(j/h)^-1 = (i/k)^-1

h/j = k/i

Which is the same equation that we can see in option A.

Then the correct option is A.

6 0

2 years ago

Quadrilateral ABCD is dilated by a scale factor of 2 centered around (2, 2). Which statement is true about the dilation?

arsen [322]

Answer:

Option (B) is true i.e segment B'D' will run through (2,2) and will be longer than the segment BD.

Step-by-step explanation:

As the assumption quadrilateral ABCD is shown in figure a.

First located the center of the dilation which is located at (2,2) as shown in figure b.

The next thing we want to do is to determine the distance of the center of dilation to each of the points of quadrilateral ABCD as shown in figure b.

Let’s just start with the distance from the center to the point A, but notice we don’t have to move up and down in y direction. So, what we have to do is to increase this by the factor 2. Because this horizontal distance is 1 i.e. the distance from dilation center (2,2) to point A, we just have to multiply by 2 which would be a distance of 2 and this point right here will be the new location of point A’ (0,2).

And the distance from the center to the point C is the horizontal distance of 2 i.e. the distance from dilation center (2,2) to point C, we just have to multiply by 2 which would be a distance of 4 and this point right here will be the new location of point C’ (6,2).

And the distance from the center to the point B is the upward vertical distance of 1 i.e. the distance from dilation center (2,2) to point B, we just have to multiply by 2 which would be a vertical distance of 2 and this point right here will be the location of point B’ (2,4).

And similarly the distance from the center to the point D is the downward vertical distance of 1 i.e. the distance from dilation center (2,2) to point D, we just have to multiply by 2 which would be a vertical distance of 2 and this point right here will be the location of point D’ (2,0).

So, Quadrilateral A'B'C'D' is dilated by a scale factor of 2 centered around (2, 2).

Just notice in figure b that the segment B'D' will run through (2,2) and will be longer than the segment BD.

So,option (B) is true i.e segment B'D' will run through (2,2) and will be longer than the segment BD.

Learn more about dilation from brainly.com/question/12528454

#learnwithBrainly

3 0

3 years ago

Read 2 more answers

A news station in oregon recorded that the low temperature for 5 days were -3,-2,2,2, and 6.what was the average temperature for

emmainna [20.7K]

[ (- 3) + (-2) + 2 + 2 + 6 ] / 5 = 5 / 5 = 1.

6 0

3 years ago

Read 2 more answers

Add 10 to z, then double the result Do not simplify any part of the expression.

dybincka [34]

2(z+10)

2z+20

Answer:

2z+20

4 0

2 years ago

What are the coordinates of E??

Paraphin [41]

Answer:

(10, 1)

Step-by-step explanation:

It tells you that when you translate it you add 2 to the x-coordinate and subtract 7 from the y-coordinate. This means that the point E, (8, 8), would become (8 + 2, 8 - 7) or (10, 1).

7 0

2 years ago

Read 2 more answers