All categories

3 years ago

The area of triangle ABC is 4 root 2. Work out the value of x

Mathematics

1 answer:

Korolek [52]3 years ago

7 0

Answer:

x ≈ 2.4

Step-by-step explanation:

Area of the triangle = 1/2 absin theta

Find the diagram of the triangle attached

a = 2x-3

b =x+2

theta = 45°

Substitute and find x

4√2 = 1/2(2x-3)(x+2)sin45

8/√2 = (2x-3)(x+2)(1/√2)

8 = (2x-3)(x+2)

Expand

8 = 2x²+4x-3x-6

2x²+x-6-8=0

2x²+x-14 = 0

x = -1±√1²-4(14)(2)/2(2)

x = -1±√1+112/4

x = -1±√113/4

x = -1+10.63/4

x = 9.63/4

x = 2.4

You might be interested in

How do I solve 2t<-4 or 7t>49

laiz [17]

2t<-4
t< (-4/2)
t<-2

just treat the greater and less than signs as equal signs

5 0

3 years ago

Short Response 16. Parallel lines p and q are cut by transversal t to form angles 1-8. If 22 and 27 are alter- nate exterior ang

olga55 [171]

Answer:

see below (I hope this helps!)

Step-by-step explanation:

Alternate exterior angles are congruent so we know that ∠2 ≅ ∠ 7. Vertical angles are also congruent so ∠7 ≅ ∠6. Consecutive interior angles are supplementary so we know that ∠6 and ∠4 are supplementary. Now, we can use the Transitive Property (this states that if a = b and b = c then a = c) to compare ∠2 and ∠4. In this case, a = ∠2, b = ∠7 and c = ∠6 so we know that ∠2 ≅ ∠6 and since ∠6 is supplementary to ∠4, we can use the Transitive Property again to conclude that ∠2 and ∠4 are supplementary.

4 0

4 years ago

In 2009, it was estimated that $3.6 billion was spent in advertising on Internet search engines. This was a 25% increase over th

den301095 [7]

Answer:

2.7 billion

Step-by-step explanation:

4 0

3 years ago

Simply <br> (4x + 8) + (7x + 3)

gtnhenbr [62]

Answer:

=11x+11

Step-by-step explanation:

Combine Like Terms:

=4x+8+7x+3

=(4x+7x)+(8+3)

=11x+11

6 0

3 years ago

It always tells me i have to put 20 characters but i really need help

Serjik [45]

Answer:

Step-by-step explanation:

25/100 is 25%.

6 0

3 years ago