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Anni [7]
3 years ago
5

Kyle is renting a jet ski for the day. Below are his two options.

Mathematics
1 answer:
Brums [2.3K]3 years ago
7 0

Lets x = # of hours

Powersports Plus: $30 an hour plus a non-refundable deposit of $50.

Write an expression to show how to calculate the cost of Powersports Plus.

30x + 50

Sun & Surf: $20 an hour plus a non-refundable deposit of $80.

Write an expression to show how to calculate the cost of Sun & Surf.

20x + 80

Next, set the 2 expressions equal to each other.

30x + 50 = 20x + 80

Solve:

30x + 50 = 20x + 80

        10x = 30

          x = 3

Two companies cost Kyle the same amount of money at 3 hours

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Find the Surface area of the attached image and round answer to the nearest tenth, if necessary.
Ilia_Sergeevich [38]

Answer:

150 m²

Step-by-step explanation:

area of triangle is 1/2(6)(9.5) = 28.5

there are 4 triangles

28.5 x 4 = 114

bottom is 6 x 6 = 36

114 + 36 = 150 m²

7 0
3 years ago
A triangular prism is 4 millimeters long. It has a triangular face with a base of 13 millimeters. The volume of the prism is 416
muminat

Answer:

16 millimeters

Step-by-step explanation:

  • Length of the Triangular Prism=4 millimeters
  • Base Length of One Triangular Face=13 millimeters.
  • Volume of the Prism =416 cubic millimeters.

Now:

Volume of a Prism=Base Area X Prism Length

Since we have a triangular base:

Volume of the Prism=(0.5 X Base X Height) X Prism Length

Substituting the given values, we obtain:

416=(0.5 X 13 X Height) X 4

416=26 X Height

Divide both sides by 26

Height of its triangular face=16 millimeters

4 0
3 years ago
Read 2 more answers
What is the average of 4 1/2, 3 1/3, 2 , 2 1/6
Zinaida [17]

Answer:

3

Step-by-step explanation:

To find the average add all these numbers together, then divide by how many numbers you have.

4\frac{1}{2} +3\frac{1}{3} +2+2\frac{1}{6} =12

\frac{12}{4} =3

Answer: 3

4 0
3 years ago
PLEASE HELP ME.<br> THANKS!!!
Veronika [31]

Cos(x) = sin(x + 20o) Use the double cos angle formula

Cos(x) = sin(x)*cos(20) + cos(x)*sin(20) Divide through by cos(x). Tanx = sin(x)/cos(x)

1 = tan(x)*cos(20) + sin(20) Subtract sin(20) from both sides.

1 - sin(20) = tan(x)*cos(20) Calculate the value of 1 - sin(20)

0.65798 = tan(x) * 0.939692 Divide by cos(20)

tan(x) = 0.65795/0.939692

tan(x) = 0.70021 Take the inverse of 0.7) = tan(x)

x = tan-1(0.70021)

x = 35 degrees as expected.

Problem Two

The easiest way to do this is to pick random values and try it. The two acute angles are complementary. So 25 and 65 are random enough.

Let A = 25

Let C = 65

A

Tan(25) = sin(25)/sin(65) ; tan(25) = 0.4663.

sin(25)/sin(65) = 0.4663 Answer

B

Sin(90 - C) = Sin(A)

Tan(90 - A) = Tan(C)

So the question becomes Cos(A) = Tan(C) / sin(A)

Cos(25) = Tan(65)/Sin(25)

0.906 = ? 5.07 This statement isn't true.

C

Sin(65) = Cos(25)/Tan(65)

.906 = 0.4226 C is not the correct answer.

D

D isn't true. The tan does not relate that away. You can find it for yourself.

Cos(A) = Tan(C) You should get 0.906 = 2.14

E

Sin(C) = Cos(A) / Tan(A) I'll leave you to show this is wrong.

Problem 3

The diagram below is for this problem. Cos(x) = 50/100 = 0.5

x = cos-1(0.5)

x = 60 degrees.

Part 2

Sin(60) = opposite / hypotenuse

opposite = sin(60) * hypotenuse

opposite = 86.61 Be sure and round this to whatever the question says to round it to.



4 0
3 years ago
Which function below represents the arithmetic sequence 3, 7, 11, 15...?
mr Goodwill [35]
D) f(n) = 3 + 4(n-1)

3 = 1st term
4 = common difference among the terms
n = term number you are looking for.

To check: 3, 7, 11, 15, ...

f(1) = 3 + 4(1-1) = 3 + 4(0) = 3 + 0 = 3
f(2) = 3 + 4(2-1) = 3 + 4(1) = 3 + 4 = 7
f(3) = 3 + 4(3-1) = 3 + 4(2) = 3 + 8 = 11
f(4) = 3 + 4(4-1) = 3 + 4(3) = 3 + 12 = 15
4 0
3 years ago
Read 2 more answers
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