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2 years ago

What is the measure of the missing angle?

1 answer:

3 0

The three angles of a triangle should equal 180 so add 52+34 which equals 86.Then subtract 86 from 180 to get the third angles measure which is 94 so the answer is 94.

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Find T, N, and kappa for the plane curve Bold r left parenthesis t right parenthesis equalsleft parenthesis 7 Bold cos t plus

pickupchik [31]

Answer:

Step-by-step explanation:

r(t) = (7 cost + 7t sin t)i + (7 sin t - 7t cos t)j

$\frac{d \bar r t}{dt} =(7\frac{d}{dt}\cos t + 7\frac{d}{dt} (t \sin t)i+(7\frac{d}{dt} \sin t-7\frac{d}{dt} t \cos t)j$

$=(7(-\sin t)+7(1* \sin t+t \cos t))i+(7 \cost -7(1*\cos t - t \sin t))j\\\\=7((-\sin t+\sin t+t \cos t)i+(\cos t-\cos t+t \sin t)j)\\\\=7((t\cos t)i+(t\sin t)j)$

$\bar r'(t)=\frac{d \bar r t}{dt} =(7t\cos t)i+(7t\sin t)j---(1)\\\\11\bar r(t)=\sqrt{(7t\cos t)^2+(7t\sin t)^2}\\\\=\sqrt{49t^2(\cos^2t+\sin^2 t)} \\\\=7t$

$\bar T (t)=\frac{\bar r'(t)}{11\bar r(t)11} =\frac{(7t\cos t)i+(7t\sin t)j}{7t} \\\\\barT(t)=(\cos t)i+(\sin t)j$

$\bar T'(t)=\frac{d}{dt} (\cos t)i+\frac{d}{dt} (\sin t) j\\\\\bar T'(t)=(-\sin t)i+(\cos t)j---(2)\\\\11\bar T'(t)=\sqrt{(-\sin t)^2+(\cos t)^2} \\\\=\sqrt{\sin^2t+\cos^2t} \\\\=1$

$\bar N(t)=\bar T'(t)=\frac{(-\sin t)i+(\cos t)j}{(1)} \\\\ \large \boxed {\bar N(t)=(-\sin t)i+(\cos t)j}$

$K(t)=\frac{|\b\r T'(t)|}{\bar r (t)|} \\\\=\frac{|-\sin t i+\cos t j|}{|7t\cos t +7t \sin t j|}$

Using eq (1) and (2)

$K(t)=\frac{\sqrt{(-\sin t)^2+(\cos t)^2} }{\sqrt{(7t\cos t)^2+(7t\sin t)^2} }\\\\=\frac{\sqrt{\sin^2 t+\cos^2t} }{\sqrt{49t^2(\cos^2 t+\sin^2t)} }\\\\=\frac{\sqrt{1} }{\sqrt{49t^2\times 1} } \\\\ \large \boxed {K(t)=\frac{1}{7t} }$

7 0

2 years ago

Simplify: (x - 8) (x + 8) *

padilas [110]

Step-by-step explanation:

(x - 8) (x + 8) = x² - 64

because

x² + 8x - 8x - 64

(a⁵)^-1 = 1/(a⁵)

that is the definition of a negative exponent. it means 1/...

3 0

2 years ago

Can you help me get the answer and explain to me how to do this please?

storchak [24]

Answer:

(8x+6)units

Step-by-step explanation:

its a matter of adding like terms

6 0

2 years ago

76 div 4 a)15 b) 8 c) 19 d) 0 Explain

Sunny_sXe [5.5K]

Answer:

C. 19.

Step-by-step explanation:

Let's find the answer.

Step 1: divide the first number of 76, which is 7, by 4 and find the integer part.

7/4=1.75, so the integer part is 1.

Step 2: subtract from 7 the (integer part times 4)

7-(1*4)=3

Step 3: put toether the result (3) and the second number of 76, which is 6, so the result is 36.

Step 4: find how many times we need to add 4s to reach 36, so:

4+4+4+4+4+4+4+4+4=36 which means that:

36/4=9

Step 5: put together the two resulted numbers calculated in step 1, which is 1, and step 4, which is 9:

1 and 9 giving 19, so the answer is:

76/4=19.

In conclusion the answer is C. 19.

6 0

2 years ago

A digit in the hundredths place has ten times the value of the same digit in the thousands place

bagirrra123 [75]

That is true very good

5 0

3 years ago