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valentinak56 [21]
3 years ago
15

Find the missing number 16 6 129.2 10

Mathematics
1 answer:
JulijaS [17]3 years ago
5 0

Answer:

  ? = 10

Step-by-step explanation:

Parallel lines divide transversals proportionally. The proportion can be written several ways. One is ...

  ?/6 = 25/15

  ? = 6(25/15) = 150/15 = 10

The missing length is 10.

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A submarine's position is 600 feet below sea level. It descends 218 feet. What is the submarine's new elevation?
ollegr [7]

Answer with explanation:

If Submarine position is 600 feet below sea level, it can be represented in terms of integers as = - 600

Now , it descends 218 feet ,from where it is presently Located.

Descend in terms of integers can be represented as = - 218 feet

Submarine New position or Elevation = - 600 feet + (-218 feet)

                                            = -818 feet

Option A : -818 feet

6 0
4 years ago
Read 2 more answers
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
Tan x + sqrt(3) = - 2 tan x
Svet_ta [14]

9514 1404 393

Answer:

  nπ -π/6 . . . for any integer n

Step-by-step explanation:

  tan(x) +√3 = -2tan(x) . . . . . given

  3tan(x) = -√3 . . . . . . . . . . . add 2tan(x)-√3

  tan(x) = -√3/3 . . . . . . . . . . divide by 3

  x = arctan(-√3/3) = -π/6 . . . . use the inverse tangent function to find x

This is the value in the range (-π/2, π/2). The tangent function repeats with period π, so the set of values of x that will satisfy this equation is ...

  x = n·π -π/6 . . . . for any integer n

8 0
3 years ago
The carnival committee has purchased 985 small prizes. The prizes are to be divided equally among the 29 game booths
Vladimir [108]

Answer:

1 The first digit of the quotient is 3

2. 34 prizes per booth

3.  19 prizes left over

Step-by-step explanation:

We need to divide 985 by 29


29 goes into 98   3 times

29*3 = 87  with 13 left over

135 divided by 29

29*4 =116  135-116 =19

985÷29 = 34  with 19 left over

7 0
3 years ago
Please help me with this question <br><br> image attached
Mumz [18]

Answer:  (D) 9

<u>Step-by-step explanation:</u>

This is an isosceles triangle.  Since the legs are congruent, then the base angles are congruent.

9x + 3 = 84

<u>     - 3  </u>  <u>  -3 </u>

9x        = 81

<u>÷9       </u>   <u>÷9 </u>

 x         = 9

8 0
3 years ago
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