2 years ago

Please select the best answer from the choices provided

Mathematics

1 answer:

FromTheMoon [43]2 years ago

6 0

Answer:

$\sqrt{122}$

Step-by-step explanation:

Given that,

Vector n = 4i-j

Vector m = 3i+3j

We need to find the value of m+2n.

Put all the values,

m+2n = (3i+3j)+2(4i-j)

= (3i+3j)+8i-2j

=11i+j

Magnitude of vector,

$|m+2n|=\sqrt{11^2+1^2} \\\\=\sqrt{121+1}\\\\=\sqrt{122}$

So the correct option is (c).

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ivanzaharov [21]

The volume of a sphere is 4/3 * pi * r³ so substitute the values in

4/3 * pi * 2³

4/3 * pi * 8

32/3 * pi

The volume is either 32/3pi units³ or 33.49 units³ (they're the same value)

I hope this helps!

6 0

2 years ago

Add the sum and difference identities for sin x to derive 1/2 [sin(x+y)+sin(x-y)]=sin x cos y

Solnce55 [7]

Answer:

true

Step-by-step explanation:

1/2 (sin(x+y)+sin(x-y))

= 1/2 (sin x cos Y + cos x sin y + sin x cos y - cos x sin y)

= 1/2 * 2 sin x cos y

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The expression is true.

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2 years ago

Point G is the midpoint of PQ. <br> PG equals 2X plus 3 and GQ equals 5X -5. what is X?

borishaifa [10]

Answer:

$x=\frac{8}{3}=2\frac{2}{3}\approx{2.667}$

Step-by-step explanation:

$\overline{PG}=2x+3\\\overline{GQ}=5x-5$

Since they're equidistant (equal distances), we can set them equal to one another and solve for x:

$2x+3=5x-5$

Adding 5 to both sides:

$2x+8=5x$

Subtracting 2x from both sides:

$8=3x$

Dividing both sides by 3:

$\frac{8}{3}=x$

Therefore:

$x=\frac{8}{3}=2\frac{2}{3}\approx{2.667}$

6 0

2 years ago

HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Doss [256]

Answer:

Step-by-step explanation:

Start is at 9 gallons

6 days of water use

9/6 is 1.5

1.5 gallon per day :)

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2 years ago

What is the measure of an exterior angle of a regular pentagon? Enter your answer in the box. °

Daniel [21]

72°

the sum of the exterior angles of a polygon = 360°

for a pentagon with 5 sides the

exterior angle = $\frac{360}{5}$ = 72°

3 0

3 years ago

Read 2 more answers