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kenny6666 [7]
2 years ago
13

'pjgopgpofmg[fmpgmfpmgpfm

Mathematics
1 answer:
fgiga [73]2 years ago
7 0

Answer:

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A kite 100 ft above the ground moves horizontally at a speed of 6 ft/s. At what rate is the angle (in radians) between the strin
arlik [135]

Answer:

0.015 radians per second.

Step-by-step explanation:

They tell us that at the moment the speed would be 6 ft / s, that is, dx / dt = 6 and those who ask us is dθ / dt.

Which we can calculate in the following way:

θ = arc sin 100/200 = pi / 6

Then we have the following equation of the attached image:

x / 100 = cot θ

we derive and we are left:

(1/100) * dx / dt = - (csc ^ 2) * θ * dθ / dt

dθ / dt = 0.01 * dx / dt / (- csc ^ 2 θ)

dθ / dt = 0.01 * 6 / (- csc ^ 2 pi / 6)

dθ / dt = 0.06 / (-2) ^ 2

dθ / dt = -0.015

So there is a decreasing at 0.015 radians per second.

3 0
2 years ago
The right rectangular prism is made up of 48 cubes. Each cube has an edge length of inch. What is the volume of this prism?
Gnesinka [82]

Given:

  • The right rectangular prism is made up of 48 cubes.
  • Each cube has an edge length of 1/4 inch.

~

To Find:

  • What is the volume of this prism?

~

Solution:

~

<u>Using formula: </u>

~

  • \sf \pmb {Volume  \: of \:  cube =  {(side)}^{3} }

~

Substituting values in the formula:

~

\sf \longrightarrow  \dfrac{1}{4}  \times  \dfrac{1}{4}  \times  \dfrac{1}{4}

\sf \longrightarrow \dfrac{1}{64}  \:  {inch}^{3}

~

Now,

Volume of 48 such cubes = Volume of 1 cube × 48 cubes

~

\sf \longrightarrow \dfrac{1}{64}  \times 48

\sf \longrightarrow \dfrac{48}{64}

\sf \longrightarrow \dfrac{3}{4}  \:  {inch}^{3}

~

Hence,

  • Volume of prism is <u>3/4 inch^3</u>
7 0
2 years ago
Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!
lisabon 2012 [21]

Answer:

x = 4

Step-by-step explanation:

The parallel segment divides the 2 sides of the triangle proportionally, that is

\frac{x}{8} = \frac{6}{12} ( cross- multiply )

12x = 48 ( divide both sides by 12 )

x = 4

5 0
2 years ago
Read 2 more answers
Find the distance from each vertex on the preimage triangle ABC to the center of rotation, P Enter the values in the table. Do t
zmey [24]

Answer:

Vertex Distance to P  Vertex Distance to P

A 2.24  G 2.24

B 5.00  H 5.00

C 4.47  I 4.47

D 2.24  J 2.24

E 5.00  K 5.00

F 4.47  L 4.47

Step-by-step explanation:

5 0
3 years ago
Smith rides his cycle at the speed of 10 mile per hour. How many miles smith travels in 4 hours ?
Natali [406]

Answer:

40 miles

Step-by-step explanation:

10X4

5 0
2 years ago
Read 2 more answers
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