Find the area of the trapezoid below.

Mathematics

2 answers:

lyudmila [28]2 years ago

7 0

Answer:

108

Step-by-step explanation:

(9 * 8) + 1/2(9 * 8)

Multiply 9 by 8 to get 72.

72 + 1/2(72)

Multiply 1/2 by 72.

72 + 36

Add 72 to 36 to get 108.

108

The area of the trapezoid is 108.

spin [16.1K]2 years ago

6 0

Answer: 72 9 times 8 is 72

Step-by-step explanation:

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balandron [24]

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3 years ago

Given: cosθ= -4/5 , sin x = -12/13 , θ is in the third quadrant, and x is in the fourth quadrant; evaluate tan 1/2 θ

mrs_skeptik [129]

Answer:

Step-by-step explanation:

If you're looking for what the half angle of the tangent of theta is, I'm a bit confused as to why you think the angle in the 4th quadrant, x, is relevant. But maybe you don't know it isn't and it's a "trick" to throw you off. Hmm...

Anyways, the half angle identity for tangent is

$tan(\frac{\theta}{2})=\frac{sin\theta}{1+cos\theta}$

There are actually 3 identities for the tangent of a half angle, but this one works just as well as either of the others do, so I'm going with this one.

If theta is in QIII, the value of -4 goes along the x axis and the hypotenuse is 5. That makes the missing side, by Pythagorean's Theorem, -3. Filling in our formula:

$tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{1+(-\frac{4}{5}) }$ which simplifies a bit to