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3 years ago

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If x = 13 units and h = 11 units, then what is the area of the rhombus pictured above?

1 answer:

erik [133]3 years ago

6 0

Answer:

M5|L12 Fractional Sides

Step-by-step explanation: answer is in the link. copy and paste it. Trust me!

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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

What’s the factory of 15y - 21z

Digiron [165]

Answer:

3(5y-7z)

Step-by-step explanation:

3x5=15

7x3=21

7 0

2 years ago

Read 2 more answers

Select the correct answer.

Ronch [10]

It's the answer is C. (t2-p)(t4+pt2+p2)

4 0

2 years ago

Write an algebraic expression for the word phrase.

Tpy6a [65]

The answer is D) 10gh

6 0

3 years ago

Read 2 more answers

A salesman used three types of order forms: A, B, C. He used 40 of Form A. Of Form B he used four times as many as Form A plus 1

mixas84 [53]

Answer:

The correct option is A. 440

Step-by-step explanation:

Let a, b and c represents the number of orders from forms A, B and C,

According to the question,

$a = 40$ ,

$b = 4a + \frac{1}{2}c$

$c = a + \frac{1}{2}c$

From these equations we get,

$b = 160 + \frac{1}{2}c----(1)$

$c = 40 + \frac{1}{2}b---(2)$

Substitute the value of b from (1) to (2),

$c = 40 + \frac{1}{2}(160 + \frac{1}{2}c)$

$c = 40 + 80 + \frac{1}{4}c$

$c-\frac{1}{4}c = 120$

$\frac{4c-c}{4}=120$

$\frac{3c}{4}=120$

$c=\frac{480}{3}=160$

From (1),

$b = 160 + \frac{1}{2}(160)=160 + 80 = 240$

$\because a + b + c = 40 + 240 + 160 = 440$

Hence, he used 440 forms total,

i.e. OPTION A is correct.

5 0

2 years ago