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3 years ago

Find the missing die length

Mathematics

1 answer:

Wewaii [24]3 years ago

6 0

$\cos(60) = \frac{ \sqrt{3} }{u} \\ \frac{1}{2} = \frac{ \sqrt{3} }{u} \\ u = 2 \sqrt{3}$
${v}^{2} + 3 = {u}^{2} \\ {v}^{2} + 3 = 12 \\ v = 3$

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Arithmetic sequence find the next next term in the sequence 44, 51, 58, 65

brilliants [131]

The general term of the number sequence is +7 therefore the next teem would be 65+7=72

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4 years ago

If the statement "If I am hungry, then I am not happy" is assumed to be true, is its inverse, "If I am not hungry, then I must b

elena55 [62]

No -- other factors will influence whether your happy or not. Saying that is true is inductive reasoning, which is prone to error

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4 years ago

Read 2 more answers

C(3) = 4/3x + -4<br><br> solve plsss, i appreciate it

pogonyaev

The equation given is:

c(x) = 4/3x + (-4)

Plug in 3 and solve:

c(3) = 4/3(3) + (-4)

c(3) = 12/3 + (-4)

c(3) = 4 + (-4)

Answer: c(3) = 0

Hope I helped!

-Char

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3 years ago

A car was bought for 5500 and sold at 6500 find the percentage

-Dominant- [34]

Answer:

18.18%

Step-by-step explanation:

Percent change formula:

(new amount - old amount)/(old amount) * 100%

new amount: 6500

old amount: 5500

percent change:

(6500 - 5500)/5500 * 100% = 18.18%

7 0

3 years ago

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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

$tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{\frac{5}{5} -\frac{4}{5} }$ and a bit more to

$tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{\frac{1}{5} }$

Bring up the lower fraction and flip it to divide to get

$tan(\frac{\theta}{2})=-\frac{3}{5}*\frac{5}{1}$ which of course simplifies to

-3. Choice A.

6 0

4 years ago