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liraira [26]
3 years ago
10

Which represents z = 3 (cos 7pi/6) + i sin (7pi/6)

Mathematics
2 answers:
4vir4ik [10]3 years ago
8 0

Answer:

A

Step-by-step explanation:

Ed2021

amm18123 years ago
4 0

Answer: A

Step-by-step explanation: :D

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Nutrients are compounds in food essentials.
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Find the volume of the composite figure to the nearest tenth. Use 3.14 for pi.
Vilka [71]

Given:

In the given fig,

The radius of the cylinder = 15 ft

The height of the cylinder = 26 ft

The height of the cone = 21 ft

The radius of the cone = 15 ft

To find the volume of the cone, the volume of the cylinder and the composite figure.

Formula

The volume of the given composite fig is

V = V_{1} +V_{2}

where, V_{1} be the volume of the cone.

V_{2} be the volume of the cylinder.

V_{1} = \frac{1}{3} \pi r^{2} h, r be the radius and h be the height.

V_{2} = \pi r^{2} h, r be the radius and h be the height.

Now,

Putting, r = 15, h = 21 and π = 3.14 we get,

V_{1} = \frac{1}{3} (3.14)(15^{2} )(21) cube ft

V_{1} = 4945.5 cube ft

Again,

Putting,

V_{2} = (3.14)(15^{2} )(26) cube ft

V_{2} = 18369 cube ft

Therefore, the volume of the composite fig = (4945.5+18369) cube ft = 23314.5 cube ft

Hence,

a) The volume of the cone is 4945.5 cube ft.

b) The volume of the cylinder is 18369 cube ft.

c) The volume of the composite figure is 23314.5 cube ft.

3 0
3 years ago
Vectorial mechanics
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Answer:

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Step-by-step explanation:

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3 years ago
Jada had some dimes and quarters that had a total value of $12.50
zubka84 [21]

Answer:

1.She has 115 dimes because 0.10*115=11.5 0.25*4=1.00 11.5+1.00=12.5

2.She has 100 dimes because 0.10*100=10.00 and 0.25*10= 2.5 10+2.5=12.5

3.I think they don’t function because quarters are worth more than a dime.

4.he has 40 quarters because 0.25*40=10.00 0.10*25=2.5 10.00+2.5=12.5.

5.She has 38quarters because 0.25*38=9.5 0.10*30=3 9.5+3=12.5

6.Yes they can function because q=dx-12.5

The Questions:

Question 1 - 1 pts

If Jada has 4 quarters, how many dimes does she have?

Question 2 - 1 pts

If Jada has 10 quarters, how many dimes does she have?

Question 3 - 1 pts

Is the number of dimes a function of the number of quarters? If yes, write a rule (that starts with d =...) that you can use to determine the output, d, from a given input, q. If no, explain why not.

Question 4 - 1 pts

If Jada has 25 dimes, how many quarters does she have?

Question 5 - 1 pts

If Jada has 30 dimes, how many quarters does she have?

Question 6 - 1 pts

Is the number of quarters a function of the number of dimes? If yes, write a rule (that starts with q =...) that you can use to determine the output, q, from a given input, d. If no, explain why not.

7 0
3 years ago
Area and perimeter of geometric functions
SCORPION-xisa [38]

Answer:

C. 60

Step-by-step explanation:

From triangle ADB,

|AD|^2+|BD|^2=|AB|^2

|AD|^2+16^2=20^2

|AD|^2=20^2-16^2

|AD|^2=400-256

|AD|^2=144

|AD|=\sqrt{144}

|AD|=12

From triangle ADC,

|CD|^2+12^2=15^2

|CD|^2+144=225

|CD|^2=225-144

|CD|^2=81

|CD|=9

The perimeter is the distance around the figure.

The perimeter

=15+20+16+9

=60

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4 years ago
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