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3 years ago

Freday

Mathematics

1 answer:

sesenic [268]3 years ago

5 0

Answer:

14 13 12 11 10 9 8 7 6 5 4 3 2 1 .-----

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As 9 hundreds is 9 thousand

s2008m [1.1K]

9 hundreds=900 9 thousands=9,000

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3 years ago

Find the projection of the vector A = î - 2ġ + k on the vector B = 4 i - 4ſ + 7k. 15. Given the vectors A = 2 i +3 ſ +6k and B =

Gwar [14]

Answer:

Part 1)

Projection of vector A on vector B equals 19 units

Part 2)

Projection of vector B' on vector A' equals 35 units

Step-by-step explanation:

For 2 vectors A and B the projection of A on B is given by the vector dot product of vector A and B

Given

$\overrightarrow{v_{a}}=\widehat{i}-2\widehat{j}+\widehat{k}$

Similarly vector B is written as

$\overrightarrow{v_{b}}=4\widehat{i}-4\widehat{j}+7\widehat{k}$

Thus the vector dot product of the 2 vectors is obtained as

$\overrightarrow{v_{a}}\cdot \overrightarrow{v_{b}}=(\widehat{i}-2\widehat{j}+\widehat{k})\cdot (4\widehat{i}-4\widehat{j}+7\widehat{k})\\\\\overrightarrow{v_{a}}\cdot \overrightarrow{v_{b}}=1\cdot 4+2\cdot 4+1\cdot 7=19$

Part 2)

Given vector A' as

$\overrightarrow{v_{a'}}=2\widehat{i}+3\widehat{j}+6\widehat{k}$

Similarly vector B' is written as

$\overrightarrow{v_{b'}}=\widehat{i}+5\widehat{j}+3\widehat{k}$

Thus the vector dot product of the 2 vectors is obtained as

$\overrightarrow{v_{b'}}\cdot \overrightarrow{v_{a'}}=(\widehat{i}+5\widehat{j}+3\widehat{k})\cdot (2\widehat{i}+3\widehat{j}+6\widehat{k})\\\\\overrightarrow{v_{a'}}\cdot \overrightarrow{v_{b'}}=1\cdot 2+5\cdot 3+3\cdot 6=35$

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4 years ago

Help asap

FinnZ [79.3K]

6 students have black hair, 3 students have blonde hair, and 21 students have brown hair. since percentages come out of 100% you can use ten as a smaller size, so 20% of 10 is 1, multiply that by three because our full percentage is out of 30, and you get 3, and so on.

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3 years ago

Kameron ordered a pizza delivered to his house. The bill was $12 and he gave the delivery guy a $3 tip. What percent was the tip

GenaCL600 [577]

Answer:

25%

Step-by-step explanation:

12÷3=4 ............

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3 years ago

Examine the following typical corporate bond listing:

RoseWind [281]

Answer:

d. 1/8% higher; $1018.75

Step-by-step explanation:

edge21'

good luck, i hope this helps :)

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3 years ago

Read 2 more answers