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3 years ago

Box 2:

Mathematics

1 answer:

Semenov [28]3 years ago

5 0

Answer:

degree of length: 1

degree of width: 1

degree of height: 3

degree of volume: 5

Step-by-step explanation:

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Convert the rectangular equation to polar form.

N76 [4]

To convert from rectangular coordinate (x, y) to polar coordinate (r, θ).
r is given by the square root of the sum of the squares of the rectangular coordinate.
$r= \sqrt{x^2+y^2}$
and θ is given by the arctan of the ratio of y to x.
$\theta=\tan^{-1} \frac{y}{x}$
Example:
To convert rectangular coordinate (3, 4) to polar coordinate
$r= \sqrt{3^2+4^2} = \sqrt{9+16} = \sqrt{25} =5 \\ \theta=\tan^{-1}( \frac{4}{3}) =53.13^o$
Therefore, rectangular coordinate (3, 4) = polar coordinate (5, 53.13°)

3 0

3 years ago

I neee help plss i have so lil time to hand it in

SashulF [63]

The Solution.

The given equation is

$\begin{gathered} y=|x|+7 \\ \text{Where x=11} \end{gathered}$

Substituting 11 for x, we can get the value of y.

$\begin{gathered} y=|11|+7 \\ y=11+7 \\ y=18 \end{gathered}$

Hence, the value of y is 18.

5 0

1 year ago

Kamran wins the big game lottery. He invests part of his winnings in treasury bonds promising a 5% annual return and he deposits

Ostrovityanka [42]

Answer:

Amount won by Kamran = $21,450

Step-by-step explanation:

This can be calculated using the following 3 steps:

Step 1: Calculation of the amount invested in treasury bonds

Since the limit to the duration of investment is not stated, the amount invested can be calculated using the formula for calculating the present value of a perpetuity as follows:

PV = P / r …………………………………. (1)

Where;

PV = Present value or the amount invested treasury bonds = ?

P = Annual return on his investments = $661.25

r = Annual rate of return = 5%, or 0.05

Substitute the values into equation (1), we have:

PV = $661.25 / 0.05 = $13,225

Step 2: Calculation of the amount deposited in the money market account

From Step 1 above, we have:

Amount invested treasury bonds = $13,225

Since he invests $5000 more in treasury bonds than he deposits in the money market account, the amount deposited in the money market account can be calculated as follows:

Amount deposited in the money market account = Amount invested treasury bonds - $5,000 = $13,225 - $5,000 = $8,225

Step 3: Calculation of the amount won by Kamran

Amount won by Kamran = Amount invested treasury bonds + Amount deposited in the money market account = $13,225 + $8,225 = $21,450

7 0

2 years ago

F.<br> x4 + 2x3 +6x² + 4x+8 by x2 +2.

Anna71 [15]

Answer:

explain correctly please

5 0

3 years ago

I need help with this homework can anyone help me. I need work too, help is appreciated:)

quester [9]

Let x = # of tickets sold in advance
Let y = # of tickets sold the day of

Cost of the tickets & total sales: 6x & 10y = 6828

You also know y = x + 206

Take the equation mentioned above y = x + 206 and sub it in anywhere the variable y is in the other equations so you'll have this:
6x + 10(x+206) = 6828

Now solve for x to get x = 298

To finish the problem, you must now find the number of y tickets sold.
Sub your x value that you found back into the equation y = x + 206 and you'll get y = 504.

So, 298 tickets were sold in advance and 504 tickets were sold the day of

3 0

3 years ago

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