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boyakko [2]
3 years ago
5

Perpendicular Vectors:

Mathematics
1 answer:
klemol [59]3 years ago
3 0
1.
v x w = 8 i - 24 j + 15 k + 10 j - 12 i - 24 k =
= - 4 i - 14 j - 9 k
Answer: D )
2.
v x w = -16 i - 16 j - 18 k + 12 j + 48 i - 8 k =
= 32 i - 4 j - 10 k
Answer: C )
3.
The cross product:
< - 6, 7, 2 > x < 8, 5, -3 > =
= - 21 i + 16 j - 30 k - 18 j - 10 i - 56 k =
= - 31 j - 2 j - 86 k = < - 31, - 2, - 86 >
Vectors are perpendicular if: cos ( u, v ) = 0
< - 6 , 7. 2 > * < -31, - 2, - 86 > = 186 - 14 - 172 = 0
< 8, 5 , - 3 > * < - 31, - 2, - 86 > = -248 - 10 + 258 = 0
Answer: A ) < - 31, - 2 , - 86 >,  yes.
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A=10x(15x)-p(4x)^2

A=150x^2-16px^2

A=(150-16p)x^2
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Which expression is equivalent to the given expression?
Studentka2010 [4]
Which expression is equivalent to the given expression?

15(12-x)

A. 15*12-x


hope this help
4 0
3 years ago
Titus drew a circle with his compass. The circle has five central angles. Four of the angles measure 55°, 37°, 96°, and 88°. Wha
Fiesta28 [93]

Answer:

84°

Step-by-step explanation:

The circle has five central angles that together equal to 360°.

55° + 37° + 96° + 88° = 276°

Hence, to find the fifth central angle, we have to subtract 276° from 360°.

360° - 276° = 84°

The degree measure of the last central angle is 84°.

Hope this helps! :)

3 0
1 year ago
Read 2 more answers
A library has five copies of a certain textbook on reserve of which two copies (1 and 2) are hardcover books and the other three
Gre4nikov [31]

Answer and Step-by-step explanation:

(a) Since the student have to stop when he gets to w softcover book, then the sample space should always stop at either 3 or 4 or 5. If the students examines the books randomly and stops at a softcover book, here are the possible ways he could carry this out,

S = {3, 4, 5, 13, 14, 15, 23, 24, 25, 123, 124, 125, 213, 214, 215}

2. Since only one book is to be examined then the student must check only one softcover book and end the examining. To do this, either he examines just 3 or 4 or 5. Therefore,

A = {3, 4, 5}

3. We need to pick the possibilities from the sample space that shows that the examining ended at book 5. Therefore,

B = {5, 15, 25, 125, 215}

4. We need to pick possibilities from the sample space that shows that book 1 was not examined. Therefore,

C = {3, 4, 5, 23, 24, 25}

5 0
2 years ago
There are 12 inches in 1 foot and 5,280 feet in 1 mile. Jada ran 34 miles.
zvonat [6]

For this case we must convert 34 miles to feet and inches.

34 miles to feet:

34 miles * \frac {5280} {1} * \frac {feet} {miles} = 179,520 feet

Jada runs 179,520 feet

34 miles to inches:

34 miles * \frac {5280} {1} * \frac {feet} {miles} * \frac {12} {1} * \frac {inches} {foot} = 2,154,240 inches

Jada runs 2,154,240 inches

Answer:

Jada ran 179,520 feet

Jada ran 2,154,240 inches

3 0
3 years ago
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