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nikdorinn [45]
3 years ago
11

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:

C

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

so

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
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