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3 years ago

The closest distance between Earth and Mars is approximately 3.39x107 miles. The fastest rocket leaving Earth travels at an

Mathematics

1 answer:

Alenkinab [10]3 years ago

6 0

Answer:

The expression for number of hours is: C. (3.39 × 10^7) ÷ (3.6 × 10^4)

The equations with no solutions are : A,B and C.

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The position vector for a particle moving on a helix is

topjm [15]

Answer:

a) 25.15

x = 1

y = t

z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)

c) (x,y) = (1, -2pi)

Step-by-step explanation:

First lets calculate the velocity, that is, the derivative of c(t) with respect to t:

v(t) = (-sin(t), cos(t), 2t)

The velocity at t0=4pi is:

v(4pi) = (0, 1, 8pi)

And the speed will be:

s(4pi) = √(0^2+1^2+ (8pi)^2) = 25.15

The tangent line to c(t) at t0 = 4pi has the parametric form:

(x,y,z) = c(4pi) + t*v(4pi)

Since

c(4pi) = (1, 0, (4pi)^2)

The tangent curve has the following components:

x = 1

y = t

z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)

The intersection with the xy plane will occurr when z = 0

This happens at:

t1 = -2pi

Therefore, the intersection will occur at:

(x,y) = (1, -2pi)

6 0

3 years ago

What is the approximate length of the diagonal of a square with side length of 20 centimeters

zhuklara [117]

Answer:28.28 cm

Explanation:

a² + b² = c²

20² + 20² = c²

c² = 400 + 400

c² = 800

c = √800

c = 28.28 cm

5 0

3 years ago

Read 2 more answers

Find the volume of the cone.

Alona [7]

answer:

2,558

step-by-step explanation:

the formula for the volume of a cone is v=πr²h/3

with that let us 'fill in' the formula-

v=π*9.6²*26.5/3

v=2,557.51

then since you've asked us to round the answer to the nearest whole number that would be 2,558

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

5 0

3 years ago

Help i'll make you the brainliest

9966 [12]

Answer:

D) b = $\frac{S-2ac}{2a + 2c}$

Step-by-step explanation:

First, move all the terms that do not include b to the left side with S:

S = 2ab + 2bc + 2ac

S - 2ac = 2ab + 2bc

Now, factor out 2b from the right side:

S - 2ac = 2b(a + c)

Divide both sides by 2(a + c):

b = $\frac{S-2ac}{2(a + c)}$

Finally, multiply out the denominator:

b = $\frac{S-2ac}{2a + 2c}$

7 0

3 years ago

Solve for x.

egoroff_w [7]

∑ Hey, KLPJDP615 ⊃

Answer:

x = 6 or x = -10

Step-by-step explanation:

Given:

Solve for x.

1 + |2+x|= 9

O x = 4 or x = -8

O x = 7 or X = -11

O x = 5 or x = -9

x = 6 or X = -10

Solve:

1 + |2+x|= 9

Subtract 1 from both sides:

1 + |2 +x| -1 = 9-1

Simplify

|2 + x | = 8

Applying absolute value rule: If |u| = a, a > 0 then u = a or u = -a

2 + x = -8

2 + x = 8

Solving:

2 + x = -8

2 - 2 + x = -8 - 2

x = -10

Solving:

2 + x = 8

2 - 2 + x = 8 - 2

x = 6

Hence, x = 6 or x = -10

xcookiex12

8/26/2022

3 0

2 years ago