4 + -1 1/3

Turn 4 into an improper fraction.

4/4 is equal to 12/3. We want both 4 and 1 1/3 to have the same denominator so that they could be subtracted from each other.

New question :

12/3 + - 1 1/3

Turn {-1 1/3} into an improper fraction.

(3 × 1) + 1 = 4/3

So, -1 1/3 = -4/3

Our new question :

12/3 + - 4/3

Simplify.

12/3 - 4/3 = 8/3

Turn into a mixed number.

2 2/3

~Hope I helped!~

7 0

2 years ago

Name 12 different rays

Digiron [165]

Los 12 rayos hijo el
azul, rosa, dorado, blanco, verde, oro rubí, violeta, oro naranja, lila esmeralda, dorado solar (blanca), melocoton solar (dorado sol), cristal celeste (diamante),

7 0

2 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

1 year ago

If sin theta = 1/4 and tan > 0 what is the value of cos theta

ale4655 [162]

Answer is letter C. See photo for solution

8 0

3 years ago

Read 2 more answers