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mafiozo [28]
3 years ago
11

Find the value of X.

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
6 0

Answer:

3.96ft

Step-by-step explanation:3.3/5 is .66 so that is the scale factor and multiply 6 by .66 gets you 3.96 hope this helps god bless

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Evaluate the surface integral ∫sf⋅ ds where f=⟨2x,−3z,3y⟩ and s is the part of the sphere x2 y2 z2=16 in the first octant, with
skad [1K]

Parameterize S by the vector function

\vec s(u,v) = \left\langle 4 \cos(u) \sin(v), 4 \sin(u) \sin(v), 4 \cos(v) \right\rangle

with 0 ≤ u ≤ π/2 and 0 ≤ v ≤ π/2.

Compute the outward-pointing normal vector to S :

\vec n = \dfrac{\partial\vec s}{\partial v} \times \dfrac{\partial \vec s}{\partial u} = \left\langle 16 \cos(u) \sin^2(v), 16 \sin(u) \sin^2(v), 16 \cos(v) \sin(v) \right\rangle

The integral of the field over S is then

\displaystyle \iint_S \vec f \cdot d\vec s = \int_0^{\frac\pi2} \int_0^{\frac\pi2} \vec f(\vec s) \cdot \vec n \, du \, dv

\displaystyle = \int_0^{\frac\pi2} \int_0^{\frac\pi2} \left\langle 8 \cos(u) \sin(v), -12 \cos(v), 12 \sin(u) \sin(v) \right\rangle \cdot \vec n \, du \, dv

\displaystyle = 128 \int_0^{\frac\pi2} \int_0^{\frac\pi2} \cos^2(u) \sin^3(v) \, du \, dv = \boxed{\frac{64\pi}3}

8 0
2 years ago
Could somebody please help me find the answers for 'x' for these pictures?
djyliett [7]

Answer:

(in order) #1

for the first one you have a vertical angle. Vertical angle is basically any 2 lines who intersect each other. The opposite sides will be congruent.

So in this case

2x+8 and 110 are oppostie sides.

2x+8=110

Which is x= 51

#2

For the second one you have supplementray angles

Now for supplementary angles its basically 2 angles added up that form a straight line And 180 degress is always the measure of a straight line. SO in this case we do

9x+12x+75=180

Which is x=5

#3

This is also a vertical angle pair and their congruent just like #1

So 5x+5=65

x=12

4 0
3 years ago
Read 2 more answers
Katrina deposited $500 into a savings account that pays 4% simple interest. How much interest will she earn in 3 years if she ma
Dovator [93]

Answer: the amount of interest after 3 years is $60

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the amount of money deposited.

P represents the principal or amount of money deposited.

R represents interest rate on the deposit.

T represents the duration of the deposit in years.

From the information given,

P = $500

R = 4%

T = 3 years

Therefore,

I = (500 × 4 × 3)/100

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4 0
3 years ago
Read 2 more answers
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Dominik [7]

Answer:

Step-by-step explanation:

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3 0
3 years ago
Only number 8 and show the work please?
bogdanovich [222]
Uh thats weird no make sense
6 0
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