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3 years ago

Help me! I'm not good at maths!!!

Mathematics

1 answer:

meriva3 years ago

4 0

Answer: -1

Raising one exponential expression to another exponent means you multiply the exponents together. We have 5*5 = 25 as the new exponent.

So we end up with (-1)^25 = -1

The rule I'm using is that -1 to any odd whole number power is going to result in -1. If the exponent was even, then -1 to that power would be 1.

So in short, the rule says

(-1)^n = -1 if n is an odd whole number

(-1)^n = 1 if n is an even whole number

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Write the equation for the perpendicular bisector of the given line segment.

spayn [35]

Answer:

Step-by-step explanation:

find the equation of the segment two point (-5,5) and (-2,-4)

m=y2-y1/x2-x1 =5-(-4)/-5-(-2) =9/-3 = -3

find b : y= -3x+b

5 =-3(-5) +b

b=-10

the equation is : y=-3x-10

the perpendicular line is y=1/3 x -2/3

4 0

3 years ago

A community pool that is shaped like a regular pentagon needs a new cover for the winter months. The radius of the pool is 20.10

boyakko [2]

Answer:

$960.42\text{ ft}^2$

Step-by-step explanation:

Please find the attachment.

We have been given that a community pool that is shaped like a regular pentagon needs a new cover for the winter months.

To find the area of community pool we will use area of pentagon formula.

$\text{Area of pentagon}=\frac{1}{2}a*p$ , where, a represents the apothem or perpendicular distance from the center of the pentagon and p represents perimeter of pentagon.

Let us find the perimeter of our given pentagon by multiplying each side length by 5.

$\text{Perimeter of community pool}=5\times 23.62$

$\text{Perimeter of community pool}=118.1$

Now let us find apothem of our pentagon by using Pythagoras theorem.

$a^2=20.10^2-11.81^2$

$a^2=404.01-139.4761$

$a^2=264.5339$

$a=\sqrt{264.5339}$

$a=16.2645$

Upon substituting our given values in above formula we will get,

$\text{Area of community pool}=\frac{1}{2}\times 16.2645\times 118.1$

$\text{Area of community pool}=8.13224907\times 118.1$

$\text{Area of community pool}=960.418615627971\approx 960.42$

Therefore, the area of the pool that needs to be covered is 960.42 square feet.

3 0

3 years ago

Read 2 more answers

If you make monthly payments of $1,000 for 10 years, determine the total payment over the lifetime of the loan.

marshall27 [118]

Hi there
Payment per year
1,000×12months=12,000

total payment over the lifetime of the loan.
12,000×10years=120,000

Hope it helps

5 0

3 years ago

Write an equation in standard form for the line, where the points (-2, -1) and (0, 4) are on the line

DedPeter [7]

Answer:

An equation in standard form for the line is:

$\frac{5}{2}x-y=-4$

Step-by-step explanation:

Given the points

(-2, -1) and (0, 4)

The slope between two points

$\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-2,\:-1\right),\:\left(x_2,\:y_2\right)=\left(0,\:4\right)$

$m=\frac{4-\left(-1\right)}{0-\left(-2\right)}$

$m=\frac{5}{2}$

Writing the equation in point-slope form

As the point-slope form of the line equation is defined by

$y-y_1=m\left(x-x_1\right)$

Putting the point (-2, -1) and the slope m=1 in the line equation

$y-\left(-1\right)=\frac{5}{2}\left(x-\left(-2\right)\right)$

$y+1=\frac{5}{2}\left(x+2\right)$

$y=\frac{5}{2}x+4$

Writing the equation in the standard form form

As we know that the equation in the standard form is

$Ax+By=C$

where x and y are variables and A, B and C are constants

$y=\frac{5}{2}x+4$

$\frac{5}{2}x-y=-4$

Therefore, an equation in standard form for the line is:

$\frac{5}{2}x-y=-4$

7 0

3 years ago

Acute angle DOG with a measure of 45 degrees

Vlad1618 [11]

So make and angle with the measure of 45 degrees. And then label it DOG. It doesn't matter where you start labeling as long as O is your midpoint. :)

6 0

3 years ago