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3 years ago

I'm Stuck, please help.

Mathematics

1 answer:

GarryVolchara [31]3 years ago

5 0

Hi there!

Let me help you out a bit here. What we need to do is subtract the area of the smaller square from the area of the larger square. To do this, we first need to find the length of one of the larger sides. Since the outer polygon is a square, we can use the 45-45-90 relationship to determine that each side of the larger square is equal to $9 \sqrt{2}$ . Next, we can do the same thing for the smaller square, determining that one outer side of the smaller square is equal to $4 \sqrt{2}$ . To figure out the area of both squares, we need to square each of the outer lengths. This gives us 162 for the bigger square and 32 for the smaller square. Now, all we need to do is subtract 32 from 162. This gives us a value of 130cm^2 for the shaded area.

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

You might be interested in

Express -32/243 into power notation

lesya692 [45]

This problem can take a while if you cannot observer the answer quickly.

First of all we can see that 32=2*2*2*2*2=2^5

243, if you don't know its actually is 3^5

Now we can see that this turns into...

- 2^5/3^5

since the 5th power doesn't change the sign of the original number, we can put the negative in the ( ), if you don't know what I mean look below

(-3)^2=9 Positive

(-3)^3=-27 Negative since its to the odd power it keeps the sign.

This problem can be simplified to.

(-2/3)^5

And this is the answer :D

If you have any questions just put them in the comments.

4 0

3 years ago

A gym membership is offered in January for 14.99 per month. If you pay upfront for the year, you are given a 15% discount on the

hoa [83]

Answer:

$27 approx

Step-by-step explanation:

Given data

Membership fee= 14.99 per month

for a year the fee is 14.99*12= 179.88

discount = 15%

=15/100*179.88

=0.15*179.88

=26.982

Hence for a year, you will save $27 approx

6 0

3 years ago

A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n indepe

asambeis [7]

Answer:

The binomial mean, or the expected number of successes in n trials, is E(X) = np. The standard deviation is Sqrt(npq), where q = 1-p. The standard deviation is a measure of spread and it increases with n and decreases as p approaches 0 or 1.

Step-by-step explanation:

4 0

3 years ago

3. Use the polynomial 12x^4 y^2 + 30x^3 y to answer the following questions?

barxatty [35]

Answer:

$\huge\boxed{GCF:6x^3y}$

$\huge\boxed{Factored: 6x^3y(2x+5)}$

Step-by-step explanation:

Look at both terms separately, and isolate each "part."

i.e. 12x^4y^2 becomes 12, x^4, y^2

So the problem becomes:

12, x^4, y^2 and

30, x^3, y^1

Then, find the GCF of each term,

30 and 12 - 6

x^4 and x^3 - x^3

y^2 and y^1 - y^1

Hope it helps :) and let me know if you want me to elaborate.

7 0

2 years ago

I don’t understand! Help me Please!

Valentin [98]

Answer:

1.) Slope = -1.5

2.) y-Intercept = 11.5

3.) y = -1.5x+ 11.5

Step-by-step explanation:

1.) Slope

Every time x decreases by two units, y increases by three units.

Slope = m = Δy/Δx = 3/(-2) = -1.5

2.) y-intercept

The y-intercept (b) is the value of y when x = 0.

When x = -1, y = 13.

If we increase x by 1 unit, x will equal 0.

The slope tells us that when x increases by 1 unit, y decreases by 1.5 units.

y = 13 - 1.5 = 11.5

The y-intercept is at y = 11.5.

3.) Equation

The equation for a straight line is

y = mx + b

m = -1.5 and b = 11.5, so

y= -1.5 x + 11.5

The figure below shows your points and the graph of y = -1.5x + 11.5, with a y-intercept at x = 0, y = 11.5.

8 0

2 years ago