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poizon [28]
3 years ago
14

Find u*v if u=14j and v=i+4j

Mathematics
1 answer:
8090 [49]3 years ago
6 0
\vec{u} and \vec{v} are vectors and:

 \vec{u}=14j=0i+14j=[0,14]\\\\
\vec{v}=i+4j=1i+4j=[1,4]

\vec{u}\cdot\vec{v} is the dot product or scalar product, so:

\vec{u}\cdot\vec{v}=[0,14]\cdot[1,4]=0\cdot1+14\cdot4=56

Correct answer is A.
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Find the total area for the pyramid with the equilateral base.<br><br> T. A. =
Lena [83]

Answer:

T.A. = 144 + 36√3 units²

Step-by-step explanation:

∵ The total surface area of the pyramid = the sum of the area of

   the four  faces (one base and 3 side faces)

∵ The 3 side faces have the same dimensions 12 , 10 , 10

∴ the area of the 3 faces = 3 × 1/2 × 12 × h

∵ The height of each triangle is ⊥ to its base

∵ The triangle are isosceles

∴ The height bisects the base

∴ h² = 10² - 6² = 64

∴ h = √64 = 8

∴ The area of the 3 triangles = 3 × 1/2 × 12 × 8 = 144 units²

∵ The base is equilateral Δ with side length 12

∵ Area equilateral triangle = 1/4 × s² × √3

∴ The area of the base = 1/4 × (12)² × √3 = 36√3 units²

∴ T.A. = 144 + 36√3 units²

7 0
3 years ago
Many charities sponsor foot races to raise money a popular race 5000 meters what is this distance in mile? 1000 meters 0.6 mile
Gre4nikov [31]

Step-by-step explanation:

1000 meters are 0.6 miles.

how many miles are then 5000 meters ?

5000 meters is 5 times 1000 meters.

so, 5000 meters = 5×0.6 miles = 3 miles.

5 0
3 years ago
Help pls help me with this question please
elena-s [515]

The answer to this is A. I hope this helps

5 0
3 years ago
The sum of the first 6 terms of a geometric series is 15,624 and the common ratio is 5. What is the first term of series?
Shalnov [3]

Answer:

<h2>4</h2>

Step-by-step explanation:

Suppose

  • S = sum of the six terms
  • a1 = the first term

\left. { S = a _ { 1 } \frac { 1 - 5 ^ { 6 } } { 1 - 5 } } \\\\ { \Leftrightarrow S = \frac { a _ { 1 } } { 4 } ( 5 ^ { 6 } - 1 ) } \\\\ { \Leftrightarrow a _ { 1 } = \frac { 4 S } { 5 ^ { 6 } - 1 } } \right.

then a1 = (4×15 624)÷(5^(6)-1)

            = 4

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4 years ago
Craig purchase a bowl of circumference 43.96 cm.What is the area Bowl ​
Naddik [55]
153.782 cm^2
Go to Omni circumference calculator
7 0
3 years ago
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