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3 years ago

Name a pair of alternate interior angles in the diagram. -a. -b. -c. -d.

Mathematics

1 answer:

FrozenT [24]3 years ago

8 0

Answer:

Step-by-step explanation:

the answer is c

alernate angles are angles that take the shape of z

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Suppose r(t)=costi+sintj+3tk represents the position of a particle on a helix, where z is the height of the particle above the g

Ilia_Sergeevich [38]

a. The $\vec k$ component tells you the particle's height:

$3t=16\implies t=\dfrac{16}3$

b. The particle's velocity is obtained by differentiating its position function:

$\vec v(t)=\dfrac{\mathrm d\vec r(t)}{\mathrm dt}=-\sin t\,\vec\imath+\cos t\,\vec\jmath+3\,\vec k$

so that its velocity at time $t=\frac{16}3$ is

$\vec v\left(\dfrac{16}3\right)=-\sin\dfrac{16}3\,\vec\imath+\cos\dfrac{16}3\,\vec\jmath+3\,\vec k$

c. The tangent to $\vec r(t)$ at $t=\frac{16}3$ is

$\vec T(t)=\vec r\left(\dfrac{16}3\right)+\vec v\left(\dfrac{16}3\right)t$

4 0

2 years ago

Please help!!!!!WILL MARK BRAINLIEST.<br>what is the lateral area of the cone?

Ratling [72]

Answer:

Therefore Lateral Area of Cone is 189.97 yd².

Step-by-step explanation:

Given:

Slant height = 12.1 yd

Diameter = 10 yd

∴ Radius = half of Diameter = 10 ÷ 2 = 5 yd

To Find:

Lateral Area of Cone = ?

Solution:

We know that,

$\textrm{Lateral Area of Cone} = \pi\times Radius\times \textrm{Slant height}$

Substituting the given values we get

$\textrm{Lateral Area of Cone}=3.14\times 5\times 12.1\\\\\textrm{Lateral Area of Cone}=189.97\ yd^{2}$

Therefore Lateral Area of Cone is 189.97 yd².

4 0

2 years ago

1. Rewrite the expression. Use an exponent, rather than repeated multiplication. (–4)(–4)

ikadub [295]

You can rewrite the multiplication using properties of the exponents.
We have that if the base is the same, the exponents are added.
For this case, we have:
Base = (- 4)
Exponent = 1
Applying properties of exponents:
(-4) (- 4) = ((- 4) ^ 1) ((- 4) ^ 1) = (- 4) ^ (1 + 1) = (- 4) ^ 2
answer:
the expression is the same as (-4) ^ 2

7 0

2 years ago

Is this correct??????

nadezda [96]

Answer:

yes, the Temperature is 5 F

Step-by-step explanation:

-3 + 8 = 5

3 0

2 years ago

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