3 years ago

I Tangent Ratio. Find the missing side. Round to the nearest Tenth.

1 answer:

6 0

Know that:

sin(β)=Opposite/Hypotenuse

Therefore:

sin(54)=x/10

Therefore:

x=10*sin(54)

x=8.1 (To the nearest tenth)

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Consider the tangent line to the curve y = 6 sin(x) at the point (π/6, 3). (a) Find a unit vector that is parallel to the tangen

mojhsa [17]

Answer:

$y=\frac{\pi }{6}+5.196(x-3)$

Step-by-step explanation:

We have given the equation y = 6 sin (x)

On differentiating both side $\frac{dy}{dx}=m=6cosx$

As it passes through the point $(\frac{\pi }{6},3)$

So $\frac{dy}{dx}=6cos\frac{\pi }{6}=5.196$

Now the unit vector is parallel to the tangent so m will be 5.196

This passes through the point $(\frac{\pi }{6},3)$

So unit vector will be $y-\frac{\pi }{6}=5.196(x-3)$

$y=\frac{\pi }{6}+5.196(x-3)$

5 0

3 years ago

How do I write 16,107,320 in expanded form?

Pani-rosa [81]

In expanded form that would be 10,000,000 + 6,000,000 + 100,000 + 7,000 + 300 + 20

3 0

3 years ago

Alex has collected apples. It has 40 boxes of 8.5 kg each and 6 sacks of 90kg each. Pack the apples in bags of 2.5 kg each. how

zimovet [89]

Answer:

40*8.5=340

6*90=540

total=880/2.5=352bags

3 0

3 years ago

Write your answer in simplest radical form

Varvara68 [4.7K]

Answer:

n = 8√2

Step-by-step explanation:

It's a 30-60-90 triangle, so n = 2×4√6/√3 = 8√2

6 0

2 years ago

Can you guy's help me quick!

nadya68 [22]

Answer:

480,700 sets (first choice)

Step-by-step explanation:

If all 25 questions are different,

When order of selection counts:

P(25,7)

= 25!/(25-7)!

= 15511210043330985984000000/6402373705728000

= 2422728000

When order of selection does not count count:

C(25,7)

=25!/(7!*(25-7)!)

=15511210043330985984000000/(6402373705728000*5040)

= 480,700

Hope this helps, have a nice day.

6 0

3 years ago