I hate rounding.
Let's call the diagonal x. It's the hypotenuse of the right triangle whose legs are the rectangle sides.
According to the problem we have a length x-4 and a width x-5 and an area
82 = (x-4)(x-5)
82 = x^2 - 9x + 20
0 = x^2 - 9x - 62
That one doesn't seem to factor so we go to the quadratic formula
Only the positive value makes any sense for this problem, so we conclude
That's the exact answer. Did I mention I hate rounding? That's about
x = 13.6 meters
Answer: 13.6
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It's not clear to me this problem is consistent. By the Pythagorean Theorem the diagonal satisfies
which works out to
That's not consistent with the first answer; this problem really has no solution. Tell your teacher to get better material.
Ok so pete lays 10 more than jim per hour
pete and jim laid same amount of tiles
j=jim's rate
p=pete's rate
6j=5p
but pete lays 10 tile per hour faster so
p=10+j
sub
6j=5(10+j)
6j=50+5j
minus 5j both sides
j=50
jim can lay at 50 tiles per hour
In the figure, the triangle ABC is a right triangle, a is the adjacent leg to the angle B, and b is the opposite side to the same angle.
So, you can use the tangent ratio which relates the angle, the opposite leg and the adjacent leg:
tangent (angle B) = b / a => b = a * tan(B)
=> b = 12 * tan(48°) = 13.33≈ 13
Answer: 13
Answer:
Because 4 is a perfect square
Step-by-step explanation:
When simplifying a radical, you have to look for perfect squares. 4 is a perfect square but x is not. Variables are only perfect squares if they have even numbered exponents so the x has to stay in the radical.
