Step-by-step explanation: first 30+36=66 then subtract 66 from 180 to find the measurement of angle M. You get 114. since a straight line is 180 degrees you subtract the total of angle M from 180 and you get 66.

5 0

3 years ago

Pls help. I offer 50. A. 3.6 B. 3.8 C. 3.9 D. 4.0

lianna [129]

Answer:

B. 3.8

Step-by-step explanation:

Expected egg production is:

3*0.25+4*0.7+5*0.05 = 3.8

Correct choice is B

3 0

3 years ago

Read 2 more answers

Find the unit tangent vector T(t) to the curve r(t) = [sin(t), 1 + t, cos(t)] when t = 0.

ss7ja [257]

Compute the derivative of $\mathbf r(t)$ at $t=0$ - this will be the tangent vector - then normalize it by dividing it by its magnitude to get the unit tangent vector $\mathbf T(t)$ .

$\mathbf r(t) = \langle \sin(t), 1+t, \cos(t) \rangle \implies \dfrac{d\mathbf r}{dt} = \langle \cos(t), 1, -\sin(t) \rangle \implies \dfrac{d\mathbf r}{dt}(0) = \langle 1, 1, 0 \rangle$

$\|\langle1,1,0\rangle\| = \sqrt{1^2+1^2+0^2} = \sqrt2$

$\implies\mathbf T(0) = \dfrac{\langle1,1,0\rangle}{\sqrt2} = \boxed{\left\langle \dfrac1{\sqrt2}, \dfrac1{\sqrt2}, 0\right\rangle}$

7 0

2 years ago

What is 3.26*10^7 written in standard form?

ddd [48]

Answer:

32600000

Step-by-step explanation:

= 3.26 × 107

(scientific notation)

= 3.26e7

(scientific e notation)

= 32.6 × 106

(engineering notation)

(million; prefix mega- (M))

= 32600000

(real number)

5 0

3 years ago