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Phantasy [73]
3 years ago
13

Find a+b, 2a+3b,|a|, and |a-b|. a=3i-5j+3k, b=2j-k

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
3 0
A+b=(2i−4j+3k)+(2j− k)=2i−2j+2k 2a+3b =2(2i−4j+3k)+3(2j− k)
= 4 i−8 j + 6 k + 6 j − 3 k = 4 i − 2j + 3k
|a| = 22 +(−4)2 +32 = √29
|a−b| =|(2i−4j+3k)−(2j− k)|=|2i−6j+4k|
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What is the surface area of the cylinder with height 4 mi and radius 3 mi? Round your answer to the nearest thousandth.
Norma-Jean [14]

Answer:

The surface area of the cylinder will be "131.88".

Step-by-step explanation:

The given values are:

Height of cylinder,

h = 4 m

Radius of cylinder,

r = 3 m

As we know,

The surface are of cylinder is:

⇒  A_s=2 \pi r(h+r)

On substituting the values, we get

⇒       =2\times 3.14\times 3(4+3)

⇒       =18.84\times 7

⇒       =131.88

5 0
3 years ago
7/9 - 2/8 × 4/9 A.5/9 B.48/72 C.20.9 D.2/3
zysi [14]

Answer:

2/3

Step-by-step explanation:

7/9 - 2/8 x 4/9

Reduce the fraction.

7/9 - 1/4 x 4/9

Reduce the numbers:

7/9 - 1/9

Subtract the fractions.:

6/9  >  2/3

8 0
3 years ago
Find f(–3) for f(x) = 4(2)x.
miskamm [114]
Plug in -3 in the x.
4(2)(-3)= -24.

7 0
4 years ago
Read 2 more answers
How do you solve cos(pi/24) using Half-Angle formulas, and leaving in simplified form?
adoni [48]
\cos \frac{\theta}{2}=\sqrt{\frac{1+\cos \theta}{2}}
\\
\\ \cos{\frac{\pi}{24}}=\cos{\frac{\frac{\pi}{12}}{2}}=\sqrt{\frac{1+\cos \frac{\pi}{12}}{2}}= \sqrt{ \frac{1}{2}+ \frac{\cos \frac{\pi}{12}}{2}  } 
\\
\\ \cos{\frac{\pi}{12}}=\cos{\frac{\frac{\pi}{6}}{2}}=\sqrt{\frac{1+\cos \frac{\pi}{6}}{2}}= \sqrt{ \frac{1}{2}+ \frac{ \frac{ \sqrt{3} }{2} }{2}  } =\sqrt{ \frac{2}{4}+  \frac{ \sqrt{3} }{4}   } = \sqrt{\frac{ 2+\sqrt{3} }{4} } = 
\\
\\ =\frac{ \sqrt{2+\sqrt{3}} }{2} 


\cos{\frac{\pi}{24}}= \sqrt{ \frac{1}{2}+ \frac{\cos \frac{\pi}{12}}{2}  } = \sqrt{ \frac{1}{2}+ \frac{\frac{ \sqrt{2+\sqrt{3}} }{2}}{2}  } = \sqrt{ \frac{2}{4}+ \frac{ \sqrt{2+\sqrt{3}} }{4}}  } =\sqrt{ \frac{ 2+\sqrt{2+\sqrt{3}} }{4}}  } 
\\
\\\cos{\frac{\pi}{24}}=\frac{\sqrt{2+\sqrt{2+\sqrt{3}}}} {2}


6 0
3 years ago
Your parents took your family out to breakfast. Your parents wanted to give the waiter a 15% tip. If the total amount of the bre
zepelin [54]

Answer:

$6.30 for a tip

Step-by-step explanation:

%48.30 as a total

4 0
3 years ago
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