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3 years ago

What is the volume of this sphere?

Mathematics

2 answers:

Orlov [11]3 years ago

5 0

nswer:

Step-by-step explanation:

yaroslaw [1]3 years ago

3 0

44 you times it by the radius

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A new car is purchased for 17000 dollars. The value of the car depreciates at 13.5% per year. What will the value of the car be,

brilliants [131]

The value of car after 12 years is $ 2982.92

Solution:

Given that,

A new car is purchased for 17000 dollars

The value of the car depreciates at 13.5% per year

To find: Value of car after 12 years

The decreasing function is given as:

$y = a(1-r)^t$

Where,

y is the future value

a is the initial value

r is the decreasing rate in decimal

t is the number of years

From given,

$a = 17000\\\\t = 12\\\\r = 13.5 \% = \frac{13.5}{100} = 0.135$

Substituting the values we get,

$y = 17000(1-0.135)^{12}\\\\y = 17000(0.865)^{12}\\\\y = 17000 \times 0.1754661\\\\y = 2982.9241 \approx 2982.92$

Thus value of car after 12 years is $ 2982.92

3 0

4 years ago

Roger makes 70 gallons of pink paint by mixing red and white paint. He uses 21 gallons of red and 49 white. What percent of pink

klemol [59]

Answer:

30%

Step-by-step explanation:

In this case, we do not need to regard the amount of white paint. That information is just to confuse you.

The amount of red paint in the pink paint mixture can be represented by the fraction 21/70. All you have to do is simplify that to get 0.3, which is also represented as 30%. hope this helps :)

3 0

3 years ago

Write the standard form of an equation with p=3 sqrt2, theta= 135°

Arlecino [84]

Answer:

x - y + 6 = 0

Step-by-step explanation:

In normal form of a straight line, the equation is given by

$x\cos \theta + y\sin \theta = p$

where p is the perpendicular distance of the line from the origin and $\theta$ is the angle between the perpendicular line and the positive direction of the x-axis.

Here, in our case $p = 3\sqrt{2}$ and $\theta = 135$ Degree,

Therefore, the normal form of the straight line equation is

$x \cos 135 + y \sin 135 = 3\sqrt{2}$

⇒ $x \cos (180 - 45) + y \sin (180 - 45) = 3\sqrt{2}$

⇒ $- x \cos 45 + y \sin 45 = 3\sqrt{2}$ {Since, Cos (180 - Ф) = - Cos Ф and Sin (180 - Ф) = Sin Ф}

⇒ $- \frac{x}{\sqrt{2}} + \frac{y}{\sqrt{2}} = 3\sqrt{2}$

⇒ - x + y = 3√2 × √2 = 6

⇒ x - y + 6 = 0

So, the standard form of the equation is x - y + 6 = 0. (Answer)

7 0

4 years ago

-7/9 = -10.8 help asap plz

katrin2010 [14]

The left side -0.77777777 does not equal to the right side -10.8, which means that the given statement is false so it is false

Best of luck
hope i helped :)

7 0

4 years ago

The system of equations has

Nonamiya [84]

Answer: no solution

Step-by-step explanation: after simplifying they are parallel which means they have no solutions

8 0

3 years ago