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3 years ago

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Car rental company A charges $45 a day to rent a certain car. Car rental B charges $30 a day plus $0.20 per mile to rent a simil

ar car. For how many miles is the cost at car rental Company B more than the cost at car rental company A?

1 answer:

Oliga [24]3 years ago

6 0

Answer is given below

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A shopper bought shoes marked 40$ the sales tax is 8% how much did the shopper pay in all

BlackZzzverrR [31]

Answer:

43.20

Step-by-step explanation:

First we need to find the sales tax

tax = price * tax rate

tax = 40 * 8%

= 40*.08

=3.2

We final cost is the price plus the sales tax

final cost = price + tax

= 40+3.2

= 43.20

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3 years ago

A sphere-shaped water balloon can extend to a diameter of 3.5 inches before it explodes.

ollegr [7]

Volume of a spehere=(4/3)πr³

Data:
diameter=3.5 in
π=3.14

1)we calculate the radius:
r=diameter/2=3.5 in / 2=1.75 in

2) we calculate the volume of this sphere:
volume=(4/3)*3.14*(1.75 in)³=22.4379...in³≈22.44 in³.

Answer: 22.44 in³

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3 years ago

Read 2 more answers

Solve for angle B in right triangle ABC. <br><br> I got 53, is it right?

lara31 [8.8K]

Yup its 53 Degrees you got it right :)

8 0

3 years ago

find the values of the six trigonometric functions for angle theta in standard position if a point with the coordinates (1, -8)

frutty [35]

Answer:

cosФ = $\frac{1}{\sqrt{65}}$ , sinФ = $-\frac{8}{\sqrt{65}}$ , tanФ = -8, secФ = $\sqrt{65}$ , cscФ = $-\frac{\sqrt{65}}{8}$ , cotФ = $-\frac{1}{8}$

Step-by-step explanation:

If a point (x, y) lies on the terminal side of angle Ф in standard position, then the six trigonometry functions are:

cosФ = $\frac{x}{r}$
sinФ = $\frac{y}{r}$
tanФ = $\frac{y}{x}$
secФ = $\frac{r}{x}$
cscФ = $\frac{r}{y}$
cotФ = $\frac{x}{y}$

Where r = $\sqrt{x^{2}+y^{2} }$ (the length of the terminal side from the origin to point (x, y)

You should find the quadrant of (x, y) to adjust the sign of each function

∵ Point (1, -8) lies on the terminal side of angle Ф in standard position

∵ x is positive and y is negative

→ That means the point lies on the 4th quadrant

∴ Angle Ф is on the 4th quadrant

∵ In the 4th quadrant cosФ and secФ only have positive values

∴ sinФ, secФ, tanФ, and cotФ have negative values

→ let us find r

∵ r = $\sqrt{x^{2}+y^{2} }$

∵ x = 1 and y = -8

∴ r = $\sqrt{x} \sqrt{(1)^{2}+(-8)^{2}}=\sqrt{1+64}=\sqrt{65}$

→ Use the rules above to find the six trigonometric functions of Ф

∵ cosФ = $\frac{x}{r}$

∴ cosФ = $\frac{1}{\sqrt{65}}$

∵ sinФ = $\frac{y}{r}$

∴ sinФ = $-\frac{8}{\sqrt{65}}$

∵ tanФ = $\frac{y}{x}$

∴ tanФ = $-\frac{8}{1}$ = -8

∵ secФ = $\frac{r}{x}$

∴ secФ = $\frac{\sqrt{65}}{1}$ = $\sqrt{65}$

∵ cscФ = $\frac{r}{y}$

∴ cscФ = $-\frac{\sqrt{65}}{8}$

∵ cotФ = $\frac{x}{y}$

∴ cotФ = $-\frac{1}{8}$

8 0

3 years ago

A person who weighs 100 pounds on earth weighs 16.6 lb on the moon. What is the independent variable? Explain why

Leviafan [203]

Independent variable (IV): something the scientist can change.

Thus, in this case, the IV can be the weight of the person.

5 0

3 years ago