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3 years ago

Pls due tmr pls pls fast I need it like rn

Mathematics

1 answer:

zheka24 [161]3 years ago

5 0

Answer:

Step-by-step explanation:

50 of 100

= 50%

120 of 1

= 1.2%

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Calculate the surface area of the cylinder.

Rainbow [258]

Method for SA of cylinder=
2 x pi x r x h + 2 x pi x r^2

SA = 2 x pi x 4 x 10 + 2 x pi x 4^2

= 351.9 cm^2

Hope this helps!!

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3 years ago

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Mazyrski [523]

Answer:

${ \bf{ \sec( \theta) = \frac{10}{6} }}$

Step-by-step explanation:

${ \boxed{ \bf{ \cos( \theta) = \frac{adjacent}{hypotenuse} }}}$

Adjacent = 6

Hypotenuse = 10

${ \sf{\sec( \theta) = \frac{1}{ \cos( \theta) } }}$

therefore:

${ \sf{ \sec( \theta) = \frac{hypotenuse}{adjacent} }} \\ \\ { \sf{ \sec( \theta) = \frac{10}{6} }}$

3 0

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

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