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1 year ago

Find x in this 45°-45°-90° triangle. x =

Mathematics

2 answers:

beks73 [17]1 year ago

6 0

X=27
Because the rule of a triangle is
1/2 x base x hiegt
1/2 x 1.2 x45 =21

Leokris [45]1 year ago

4 0

Answer:

x = 1.2√2

Step-by-step explanation:

Taking the cosine value of the angle :

cos 45° = 1.2/x
1/√2 = 1.2/x
x = 1.2√2

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This robotic arm is made up of two cylinders with equal volume and two triangular prism hands. The volume of each hand is

BaLLatris [955]

Answer:

$\frac{r}{3\pi h+r}$

Step-by-step explanation:

Since the height isn't given, we assume it to be "h" (of cylinders). And the answer will be in terms of "r" and "h".

The area of 1 arm is given, so the area of 2 arms would be:

$A_{arm}=2*(\frac{1}{2}r*\frac{1}{3}r*2r)=\frac{2r^3}{3}$

Now, area of 2 cylinders would be the formula:

$A_{cyl}=2*(\pi r^2 h)=2\pi r^2 h$

So, total area is A_arm PLUS A_cyl. The fractional area the arms are would be gotten by taking expression A_arm divided by A_total.

Shown below:

$\frac{A_{arm}}{A_{total}}=\frac{\frac{2r^3}{3}}{2\pi r^2 h + \frac{2r^3}{3}}$

We simplify further:

$\frac{\frac{2r^3}{3}}{2\pi r^2 h + \frac{2r^3}{3}}\\=\frac{\frac{2r^3}{3}}{2r^2(\pi h + \frac{r}{3})}\\=\frac{r}{3(\pi h + \frac{r}{3})}\\=\frac{r}{3\pi h+r}$

THis is the answer.

6 0

2 years ago

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Step-by-step explanation:

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snow_tiger [21]

Answer:

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3 years ago

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Answer:

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