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3 years ago

Evaluate the dot product a⃗ ⋅b⃗ of a⃗ =3i^−8j^ and b⃗ =−2i^−6j^.

1 answer:

4 0

The "dot product" of two vectors has several different formulas.

Since you are given the x- and y-coordinates of both vectors a and b, we can apply the formula

a dot b = ax*bx + ay*by, where ax=x-component of vector a, by=y comp of vector b, and so on.

So, for the problem at hand, ax * bx + ay * by becomes

3(-2) + (-8)(-6) = -6 + 48 = 42 (answer). Note that the dot product (or "scalar product" is itself a scalar.

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Working alone and at a constant rate, Machine A takes 3 hours to create a widget. Machine B, working alone and at a constant rat

PilotLPTM [1.2K]

Answer:

Time required by Machine B to create a widget = 4 hours

Step-by-step explanation:

Time taken by Machine A ( $T_{A}$ ) = 3 hours

Time taken by Machine B ( $T_{B}$ )= x hours

Time taken by both machines by working together = 12 hours

The time required to both machines by working together to finish a task is given by the formula = $\frac{T_{A} {T_{B} } }{T_{A} + T_{B} }$

Put the values in above formula we get

⇒ T = $\frac{3 x}{3 + x}$

⇒ 12 = $\frac{3 x}{3 + x}$

⇒ 36 + 12 x = 3 x

⇒ x = - 4 hours

This is the time required by Machine B to create a widget.

8 0

3 years ago

Angle Q = 85° Determine angle O.

kkurt [141]

Answer:

∠O = 95°

Step-by-step explanation:

since ∠Q = 85°, arc NOP = 2(85°) = 170°

arc PQN = 360° - arc NOP

arc PQN = 360° - 170° = 190°

∠O = 1/2(arc PQN) = 1/2(190°) = 95°

4 0

3 years ago

Kameron's unicycle wheel has a spoke length of 16 inches.

Alexeev081 [22]

Answer:

301.44 inches

Step-by-step explanation:

The spoke is from the center of the wheel to the edge, so its length is the radius, or 16 inches.

You want to find the distance that one rotation will take you, so you need the wheel's circumference.

Circumference = 2πr

2 x 3.14 x 16 = 100.48

100.48 inches is the distance of only 1 full rotation, so you just need to multiply 100.48 by 3 to get the distance of 3 rotations.

100.48 x 3 = 301.44

3 0

3 years ago

Every month, Mr. Leroy pays his rent through automatic payments (withdrawals) from his

GarryVolchara [31]

Answer:

-445/month

Step-by-step explanation:

I think that what you would do is divide -5,341 by 12, which gives you -445

6 0

3 years ago

Geometry hw!!! picture is above

AnnZ [28]

X=12 because 73-3x=61-2x so add 3x to both to make 73=61+X then subtract 61 from both to get 12=X

7 0

2 years ago