Answer:
3^2 + 11^2 = 130
7^2 + 9^2 = 130
---
1^2 + 18^2 = 325
6^2 + 17^2 = 325
Step-by-step explanation:
We want to express 130 and 325 as the sum of two squares in two different ways.
Then, we want to find two integers a and b such that:
a^2 + b^2 = 130
There is not an analytical way to do this, we just need to try with different integers.
Let's start with 130.
So we start by defining a as a really small integer, for example 1, and try to find b.
1^2 + b^2 = 130
b^2 = 130 - 1
b^2 = √129 = 11.3
This is not an integer, so let's try with another value of a.
a = 2
2^2 + b^2 = 130
4 + b^2 = 130
b^2 = 130 - 4
b = √126 = 11.2
This can be discarded again.
Now let's try with a = 3
3^2 + b^2 = 130
9 + b^2 = 130
b^2 = 130 - 9
b = √121 = 11
Nice.
So we can express 130 as:
3^2 + 11^2 = 130
Now let's find another pair.
In the same way, we can see that for a = 7 we get:
7^2 + b^2 = 130
42 + b^2 = 130
b^2 = 130 - 49
b = √81 = 9
Then we can write:
7^2 + 9^2 = 130
Now for 325:
With the same reasoning than before, we want to find two integers such that:
a^2 + b^2 = 325
Then we start evaluating a by the smallest values:
a = 1
1^2 + b^2 = 325
b^2 = 325 - 1 = 324
b = √324 = 18
Then we can write 325 as:
1^2 + 18^2 = 325
Now to find the next pair we need to keep testing values for a, we will get for a = 6:
6^2 + b^2 = 325
36 + b^2 = 325
b^2 = 325 - 36 = 289
b = √289 = 17
Then we can write:
6^2 + 17^2 = 325.
solve for x and show your work
2x + a= b
Answer:
x = b-a/2
Step-by-step explanation:
2x + a = b
2x = b-a
x = b-a/2
Can anyone help me with this geometry question?
I just don't know what is the last step, we are trying to prove that BD bisects angle ADC
6.∠ADB = ∠BDC reason :(CPCTC)
7.BD bisects ∠ADC reason :(From statement 6)
Hope it helps you......
75 is 25% more than 60, but 60 is 20% less than 75, explain why?
Answer:
because 75 is a larger number
Step-by-step explanation:
eg. 1% of 100 is 1, but 1% of 50 is 0.5
Please answer this
15-10%
Answer:
What?
Step-by-step explanation:
What are you asking lol
Answer:
13.5
Step-by-step explanation:
10% of 15 is 1.5
15-1.5=13.5
Kelvin makes a map of his apartment using a coordinate system with yards as the units. The point (-9,8) represents the main entrance of the apartment and the point (-5,6) represents the location of the kitchen. Approximately how far apart are the main entrance and the kitchen?
a. 3.5 yards
b. 4.5 yards
c. 12 yards
d. 20 yards
Answer:
4.5
Step-by-step explanation:
We add the scale factor to each length of an image to get the scaled copy.
-True or False?
Answer:
false
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
original dimensions / scale of the drawing = dimensions of the scale drawing
To scale an image, divide the original length by the scale
for example the length of the image is 100 and the scale factor is 4
the length of the scale copy = 100/4 = 25
Rita is starting a running program. The table shows the total number of miles she runs in different weeks. What is the equation of the line of best fit for the data? State each number to the thousandths place.
Step-by-step explanation:
Y = 1.671 X + 4.699
The equation of best fit data is Y = 1.671 X + 4.699
What are fit equations?
Fitting an equation to data is finding a linear, quadratic, exponential, or any other sort of function whose graph includes, or comes as close as possible to, a given set of data in the form of ordered pairs. The relative predictive power of a model shows how accurately the model is related to the data.
The theoretical pattern best accounts for the relationships among variables in a data set. For example, a regression equation having the best fit to sample data is the one that minimizes differences between observed and predicted values.
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a cube has a surface area of 486cm^2. what is its side length?
Answer:
9 cm
Step-by-step explanation:
Total surface area of a cube =486 cm²
We know that the surface area of the cube
=6l²
Therefore,
6l ² =486
l² =81
l =9 cm
HELP PLEASE KHAN ACADAMY
Answer:
-45
Step-by-step explanation:
HELP HELP HELP A triangle has two sides of length 14 and 18. What is the largest possible whole-number length for the third side?
Answer:
22
Step-by-step explanation:
I added the numbers yw
The answer to this would be really greattt
Answer:
270 cm2
Step-by-step explanation:
multiply the two triangles is 60
the rectangle on the left 35
rectangle on the bottom 84
rectangle on the top 91
I need help please quickly please
Answer:
Step-by-step explanation:
plug the equations into Desmos
as attached
y = -3x-6
x + 3y = 6
3y = -x +6
y = -1/3x +2
-3x-6 = -1/3x +2
-8/3x = 8
x = - 3
y=-3(-3)-6
y = 9-6
y = 3
 Jackie so $9500 worth of vacuum cleaners in December if she earns a commission rate of 15% of all sales what commission Did she earn
Answer:
1425
Step-by-step explanation:
I'm pretty sure 1425 is 15% of 9500.
A.Vertical
B.Adjacent
C.complementary
D.Supplementary
E.none
Answer:
vertical
Step-by-step explanation:
Answer:
vertical
Step-by-step explanation:
np have a nice day
12 divided by x = 50
the answer to 12 divided by 50 calculated using Long Division is:
0
12 Remainder
Answer:
x = [tex]\frac{6}{25}[/tex]
Step-by-step explanation:
Given
[tex]\frac{12}{x}[/tex] = 50 ( multiply both sides by x )
12 = 50x ( divide both sides by 50 )
[tex]\frac{12}{50}[/tex] = x , that is
x = [tex]\frac{6}{25}[/tex]
i need help with this asap
dexide whether pait of angles
1 and 2
4 and 3
5 and 6
arw alternate interior angles
alternate exterior angles
corresponding anglws
same side intetior angles
Answer:
1 and 2 is corresponding angles
4 and 3 is alternate interior angles
5 and 6 corresponding angles
You want to wrap the box with a square piece of wrapping paper with a side length of 24 inches. Do you have enough paper to wrap the entire box? Explain.
Answer:
It depends on the size of the box
Step-by-step explanation:
Since the dimensions of the box are not included you can't answer the question
The function f is defined by f(x)=7x - 5. Use this formula to find the following
values of f.
f(-14)
***WILL GIVE BRAINLIEST***
What is the volume of the cargo area of the moving truck?
A. 696 cubic feet
B. 756 cubic feet
C. 824 cubic feet
D. 888 cubic feet
Answer:
888sq. ft
Step-by-step explanation:
Volume of a rectangular prism = length * width * height
For the given diagram
area of the truck = area of the bigger + area of smaller prism
area of the bigger prism = 6 * 9 * 16
area of the bigger prism = 864sq. ft
Area of smaller prism = 2 * 2 * 6
Area of smaller prism = 24 sq. ft
Area of the figure = 864 + 24
Area of the figure = 888sq. ft
I NEED HELP ON THIS ASAP
Answer:
A.
1 muffin equals $2.08 for the first package.1 muffin equals $1.91 for the second package.1 muffin equals $1.88 for the third package.B.
Option B gives the lowest unit price.
Marty's class collected $10.00 in a school-wide penny collection contest. If Tommy's class subtracted $4.00 from the amount they collected, x, and then multiplied the difference by 2, they would have the same amount of money as Marty's class.
How much money did Tommy's class collect?
A.
$9.00
B.
$13.00
C.
$4.00
D.
$17.00
$14,000 is deposited into a savings account with an annual interest rate of 4% compounded continuously. How much will be in the account after 3 years? Round to the nearest cent. $15,784.96 $15,820.00 $43,714.05 $46,481.64 if you could could you please explain thank you.
$14,000 is deposited into a savings account with an annual interest rate of 4% compounded continuously then $15,784 is the amount after 3 years.
What is Probability?
It is a branch of mathematics that deals with the occurrence of a random event.
Given that $14,000 is deposited into a savings account with an annual interest rate of 4% compounded continuously.
We need to find the amount in the account after 3 years.
[tex]A=Pe^r^t[/tex]
where A is the amount of money after t years,
P is the principal amount
r is the annual interest rate
P = $14,000, r = 0.04 and t=3
[tex]A = 14000e^(^0^.^0^4^3)[/tex]
A = 15,784
Hence, $14,000 is deposited into a savings account with an annual interest rate of 4% compounded continuously then $15,784 is the amount after 3 years.
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help what’s the answer
PLEASE HELP I WILL MARK BRANLIEST FOR FIRST AND CORRECT ANSWER AND NO LINKS
Answer:
I think the Las t answer
Step-by-step explanation:
prime minister and members of the legislature
Answer:
Prime ministierer only :P
help plz i will give all my point's
Answer:
B the answer is B I believe so
Which trig function would you use to solve for x?
A.) No answer text provided.
B.) tan40= x/19
C.) sin40= x/19
D.) cos40= x/19
Given:
The figure of a right angle triangle with hypotenuse=19, leg=x and opposite angle is 40°.
To find:
The trigonometric function that is used to solve for x.
Solution:
In a right angle triangle,
[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
In can be written as:
[tex]\sin \theta=\dfrac{Opposite}{Hypotenuse}[/tex]
Using this ratio for the given triangle, we get
[tex]\sin 40^\circ =\dfrac{x}{19}[/tex]
Therefore, the correct option is C.
Answer please ASAP thank you
Answer:
1. quadrilateral, four,four
2.triangle, three, three
3. triangle, three, three
4. quadrilateral, four, four
5. triangle, three, three
Find the area of the trapezoid by decomposing into two triangles.
Answer:
32
Step-by-step explanation:
I am pretty sure the answer is 32
9/2= 3/4 (z+2/3) what is z
Answer:
z=32/6
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In AKLM, K = 81 cm, l = 41 cm and M=93º. Find the length of m, to the nearest
centimeter.
Answer:
90 is the correct answer