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s344n2d4d5 [400]
3 years ago
5

A missile is fired at an angle of 75 from the horizontal. At one point, its speed was 900 mph. Find its horizontal velocity in m

iles per minute. (Round to the nearest hundredth.)
Mathematics
1 answer:
mezya [45]3 years ago
5 0

Hello  Chrisd117991999.

If the missile was going 900mph and we are trying to find the horizontal velocity

This could be 3.88, and rounding it to the nearest hundredth would be <u><em>3.90 miles per minute</em></u>

:)

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Evaluate the surface integral. s x ds, s is the triangular region with vertices (1, 0, 0), (0, −2, 0), and (0, 0, 12).
aniked [119]
Parameterize the surface by

\mathbf r(s,t)=(1-s)(0,0,12)+s\bigg((1-t)(1,0,0)+t(0,-2,0)\bigg)
\implies\mathbf r(s,t)=(x(s,t),y(s,t),z(s,t))=(s-st,-2st,12-12s)

where (s,t)\in(0,1)\times(0,1). We have

\|\mathbf r_s\times\mathbf r_t\|=\|(1-t,-2t,-12)\times(-s,-2s,0)\|=2\sqrt{181}s

The surface integral is then

\displaystyle\iint_Sx\,\mathrm dS=2\sqrt{181}\int_{s=0}^{s=1}\int_{t=0}^{t=1}s(s-st)\,\mathrm dt\,\mathrm ds
=\displaystyle2\sqrt{181}\left(\int_{s=0}^{s=1}s^2\,\mathrm ds\right)\left(\int_{t=0}^{t=1}(1-t)\,\mathrm dt\right)
=\dfrac{\sqrt{181}}3
7 0
3 years ago
What is the volume of a cylinder with base radius 2 and height 6
jenyasd209 [6]

Answer:

Volume of the cylinder is 75.43

Step-by-step explanation:

Volume of Cylinder is \pi r^{2} h

where r is base radius = 2 and h is the height = 6

(22/7) × 2² × 6

= (22/7) × 4 × 6

= (22/7) × 24

= 528/7

= 75.43

4 0
3 years ago
Read 2 more answers
Can someone please help i dont understand
Sloan [31]

Answer:

x = 12

Step-by-step explanation:

Angle 1 = 8x - 17

Angle 2 = 5x + 19

These are congruent which means they are the same so the equation is:

8x - 17 = 5x + 19

3x - 17 = 19

3x = 36

x = 12

7 0
3 years ago
Read 2 more answers
How would you express 325.4 miles on 17.3 gallons as a unit rate
Nikitich [7]
I think the answer is 18.8 Miles/gallons. 325.4 miles / 17.3 gallons = 18.78 miles/gallons, round it to 18.8 miles/gallons. 
6 0
3 years ago
Two sides of a triangle are equal in length and double the length of the shortest side . The perimeter of the triangle is 36 inc
Firdavs [7]

Answer:

The length of the sides of the triangle are as follow: Two sides are 14.4 inches long and the shortest is 7.2 inches.

Step-by-step explanation:

P = 36in // perimeter of triangle

P = A + B + C //equation for perimeter of a triangle

A = B or B = A //Showing that two sides are equal in length

A = 2C and B = 2C //Showing that the two equal sides are each doubled of the shortest side

C = A/2 and C = B/2 //Showing the same thing as the top, but in terms of the shortest side

Solve for C //First we solve for the shortest side as it's easiest

36 = A + B + C

36 = 2C + 2C + C //Use substitution for A and B

36 = 5C

C = 7.2in

Solve for A

A = 2C

A = 2(7.2) //Use what we solved for C

A = 14.4in

Solve for B

B = A

B = 14.4in //Same as A

Check Work

P = A + B + C

P = 14.4 + 14.4 + 7.2

P = 36

4 0
3 years ago
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