Therefore after using the Pythagorean Theorem and the properties of chords in a circle we got 626 when m+n is divided by 1000.
What is Pythagorean Theorem?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
Define hypotenuse.The longest side of a right-angled triangle, or the side across from the right angle, is called the hypotenuse.
Let M and N be the midpoints of chords AB and CD, respectively.
Let X and Y be the foot of the perpendicular from P to chord AB and CD respectively.
Since X,Y are on the circle and P is the midpoint of XY,
OP = PX = PY = radius = 25
Now, using the Distance Formula:
(XM)^2 + (YN)^2 = (12)^2
By the Pythagorean Theorem, on triangle PXN and PYM,
(25)^2 + (YN)^2 = (PN)^2 = (14/2)^2 and
(25)^2 + (XM)^2 = (PX)^2 = (30/2)^2
OP^2 = 625 = 25^2
thus m+n = 625 + 1 = 626
and remainder when m+n is divided by 1000 is 626 % 1000 = 626
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Find the values of x and y.
The values of x and y, given the angles, can be found to be :
x = 13y = 20How to find the values of x and y ?The parallel line is drawn such that ( 7 y - 12 ) degrees and ( 6 y + 8 ) degrees are equal to each other.
In the same vein, 4x degrees and 6x - 26 degrees are the same as well. This is because they are vertical angles.
The value of x is:
4x = 6x - 26
6x - 4 x = 26
2x = 26
x = 26 / 2
x = 13
The value of y is :
7 y - 12 = 6 y + 8
7y - 6 y = 8 + 12
y = 20
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Is gram equal to mole?
No, 1 gram is not equal to 1 mole. The numerical values of mole and gram are different for an object.
What is 1 gram?
Avogadro number of atoms makes up one mole. It is possible to convert a mole into grams if you know the mole quantity.
Mole: The International System of Units uses the mole (symbol: mol) as the unit of material quantity. How many elementary entities of a particular substance are present in an object or sample is determined by the quantity of that material. It is specified that the mole contains exactly 6.02214076×10²³ elementary entities.
The relation between gram and mole is
1 gram = Mole × atomic weight.
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Which of the statements best describe the origin on the coordinate system?
1. The X and y-axes intersect at the origin.
Il. The origin is the distance from right to left.
III. The point, (0.0). is the ordered pair at the origin.
IV. The origin is the distance from top to bottom
Answer:
The point, (0.0). is the ordered pair at the origin.
Step-by-step explanation:
What is the coefficient of XY in 7xy?
The coefficient of XY in 7xy is 7
Any integer or symbol that multiplies the variable of a single term or the terms of a polynomial to represent a constant value is known as a coefficient in mathematics. In some phrases, a letter might be substituted for the usual number. For example, x is the variable and a and b are the coefficients in the formula: ax2 + bx + c.
What is a coefficient?
A coefficient is a quantity or number that is coupled with a variable. Frequently, an integer is multiplied by the variable and written next to it. The variables that don't have a corresponding number are presumed to have a coefficient of 1.
Seven is the coefficient of XY in 7xy.
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Find the y-intercept and x-intercept y=(2x+144)(x-133)
Answer:
x-intercepts: -72 and 133
y-intercept: -19152
Step-by-step explanation:
You can solve for x-intercepts by...
[tex]y = (2x + 144)(x - 133)[/tex]
2x+144=0
-144 -144
2x=-144
2 2
x=-72
x-133=0
+133 +133
x=133
to find y intercept you plug in 0 for x...
y=(2(0)+144)(0-133)
y=(0+144)(-133)
y=(144)(-133)
y=-19152
Choose the correct trig ratio you would use to solve for the missing piece of the right triangle.
Answer:
take 19 degree as reference angle
using sine rule
sin 19 degree=x/74
0.32=x/74
0.32*74=x
23.68=x
Step-by-step explanation:
Hope this helps u !!
solve for g here
[tex]55g + 25 = 625 \div 25[/tex]
Answer:
0
Step-by-step explanation:
625 / 25 = 25
55g + 25 = 25
55g = 25 - 25
55g = 0
g = 0/55
g = 0
Answer:
[tex] \sf \: g = 0[/tex]
Step-by-step explanation:
Given equation,
→ 55g + 25 = 625 ÷ 25
Now the value of g will be,
→ 55g + 25 = 625 ÷ 25
→ 55g + 25 = 25
→ 55g = 25 - 25
→ g = 0 ÷ 55
→ [ g = 0 ]
Hence, the value of g is 0.
Giving brainlist to whoever answers
Answer:
19 ( i think)
Step-by-step explanation:
1/8*(5/5)= 5/40
2/5*(8/8)= 16/40
16/40 + 5/40 =21/40
40-21= 19
Answer:
19 houses
Step-by-step explanation:
Solve: 51 ÷ [(-15) + (-2)
Find the Area of the parallelogram.
12 in.
15 in.
18 in
Is x 3 a factor of the polynomial x^3 3x^2 4x 12?
(x - 3) is a factor of the polynomial f(x) = x³ - 3x² + 4x - 12 since f(3) = 0.
To solve the problem, recall the factor theorem.
Factor Theorem states that if we have a polynomial f(x) and if (x - a) is a factor of f(x), then f(a) = 0
The given function is:
f(x) = x³ - 3x² + 4x - 12
To see whether x - 3 is a factor of f(x) = x³ - 3x² + 4x - 12, we need to find f(3).
Substitute x = 3 into f(x):
f(3) =3³ - 3(3)² + 4(3) - 12
f(3) = 27 - 27 + 12 - 12
f(3) = 0
Since f(3) = 0, then x -3 is a factor of x³ - 3x² + 4x - 12
Your question is incomplete, but most probably your question was:
Is x - 3 a factor of the polynomial x³ - 3x² + 4x - 12?
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please help mee!!Will mark brainlyist if right:)
Answer:
[tex]opposite \approx 147[/tex]
Step-by-step explanation:
To solve this problem one can use the trigonometric ratios, these ratios are the following,
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]
In this problem, one is given the adjacent side, and is asked to find the opposite side, thus use the function ([tex]tan[/tex]). Substitute in the given value and solve,
[tex]tan(52)=\frac{opposite}{115}[/tex]
Inverse operations,
[tex]115(tan(52))=opposite[/tex]
Solve,
[tex]147 \approx opposite[/tex]
PLZ ANSWER THIS I BEG UU
Answer:
14.7 ft²
Step-by-step explanation:
the volume of the triangular prism =
(½×3.5×2) x 4.2
= 3.5 × 4.2
= 14.7 ft²
Answer:
Solution given:
For triangle
base=3.5
height =2ft
and length=4.2ft
Now
Volume of triangular prism=area of traingle x length
=½(3.5*2)×4.2
=14.7ft³
Required volume is 14.7ft³.
NEED HELP THX ASAP !! LOOK AT PICTURE
Answer:
(0, 4)
Step-by-step explanation:
If x = 0, 4(3^x) = 4(3^0) = 4(1) = 4. So the y-intercept is (0, 4)
You have $9 to spend on lip balm and hand sanitizer. The equation $1.5x+2.5y=9$ represents this situation, where x is tubes of lip balm and y is bottles of hand sanitizer. How many tubes of lip balm can you buy when you do not buy any bottles of hand sanitizer?
Answer:
6 tubes of lip balm
Step-by-step explanation:
We can start solving this problem by isolating the variable x.
Given the equation 1.5x + 2.5y = 9, and we know that y = 0 (because we're not buying any bottles of hand sanitizer), we can substitute this into the equation:
1.5x + 2.5(0) = 9
Simplifying this, we get:
1.5x = 9
To solve for x, we can divide both sides of the equation by 1.5:
x = 9/1.5
x = 6
So we can buy 6 tubes of lip balm if we do not buy any bottles of hand sanitizer
Your neighbor pays you $17 for every two hours of work how many hours do you work if you earn $42.50
Answer:
To find the number of hours you work, you need to set up an equation using the information given. Let's say that the number of hours you work is x. The equation would be:
17(x/2) = 42.50
The parentheses around x/2 indicate that the division should be done before the multiplication. So, x/2 = 2.5. Multiplying both sides of the equation by 2 gives us:
x = 5
So, you work 5 hours.
Step-by-step explanation:
So, we know that you earn $17 per 2 hours. We also know that we earned $42.50. Now, we just need to find the hours! We can do this by using a cross multiply.
$17 is directly correlated to 2 hours of work. Therefore, to find the hourly wage we should divide it by 2:
$8.5 = 1 hour
$42.50 = x hours?
Now cross multiply:
$8.5x = $42.50
x = 5 hours
Therefore, your answer is 5 hours!
Hope this helps!
1.
The table below shows the number of animals at a local petting zoo.
Animal
Ponies
Goats
Number
3
3
Rabbits
8
Type a response
Sheep
6
Write the ratio of ponies to sheep.
You may write the ratio in ANY of the three forms. Remember to REDUCE the ratio, it
possible.
1/2
If there are 3 ponies, and 6 sheep,
the original ratio is 3/6.
However, it must be simplified down to 1/2.
Is 2x³ a polynomial?
[tex]2xA^{3}[/tex] is a polynomial as a result. Constants, variables, and exponents can all be included in a polynomial, but variable division is never permitted.
what is a polynomial ?In mathematics, a polynomial is an expression made up of variables (also known as indeterminates) and coefficients that exclusively uses the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. A polynomial is an equation made up of variables, constants, and exponents that are mixed using mathematical operations including addition, subtraction, multiplication, and division (No division operation by a variable).
given
[tex]2xA^{3}[/tex] is a polynomial as a result. Constants, variables, and exponents can all be included in a polynomial, but variable division is never permitted.
It is impossible to classify an expression as a polynomial if it contains a variable with exponents that are negative or fractional, divides by a variable, or is included inside a radical.
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Find the value of x in the Diagram Below.
Help Please i beg you
Answer:
y = 7x - 2
Step-by-step explanation:
m = slope
b = y int
Have a good day!!!
Answer and Step-by-step explanation:
The equation formula is written as:
y = mx + b
Where:
m = the slope
b = y-intercept
So, all we have to do is plug in the values given to us into the equation.
7 = m
b = -2
y = 7x - 2 is your answer.
#teamtrees #PAW (Plant And Water)
Can someone confirm if I am correct or not?
Answer:
You are in fact correct
Step-by-step explanation:
mark brainliest plss
Answer:
yes
Step-by-step explanation:
Please help if you want brianleist!! :) uhm don't mind update- NO LINkS child..
Ty!
Answer:
d
Step-by-step explanation:
Sarah competes in a long jump competition.
Her first jump is 4.25m
Her best jump is 12% more than this
However her best jump is 15% lower than the winning jump
Work out the length of the winning jump
Answer: 5.474 m
Step-by-step explanation:
first jump = 4.25
best jump = first jump * 1.12
winning jump = best jump *1.15
A single-engine plane can travel up to 140 miles per hour. The total number of miles m is represented by the function m = 140h, where h is the number of hours traveled. Determine appropriate input values for this situation.
Answer: The input values for this function are the number of hours traveled, represented by the variable h. Therefore, appropriate input values for this function would be any positive number representing a number of hours traveled.
For example, some appropriate input values could be:
h = 1: This represents 1 hour of travel, or a total distance of 140 miles.
h = 2: This represents 2 hours of travel, or a total distance of 280 miles.
h = 3.5: This represents 3.5 hours of travel, or a total distance of 490 miles.
Note that the input values do not have to be whole numbers, they can be any positive number representing a number of hours traveled.
Step-by-step explanation:
I need help.
The truth is, I don't know why the Brainly appears in English, if I needed it in Spanish. So, homework is in Spanish. I really need the help because I'm very behind in math. Thanks. And sorry for the horrible traduction. I'm so bad at english.
Answer:
Hey you can login in Spain Server if you find difficulty here
Simplify the below expression.
Step-by-step explanation:
3^0=1
3^2=9
[tex] \frac{1}{9} [/tex]
plz mark as brainliest
Answer:
1/9
Step-by-step explanation:
When dividing terms with exponents, you subtract the exponents.
3⁰/3² = 3⁰⁻² = 3⁻² = 1/9
Therefore, the simplified expression is 1/9.
What is the equation of a parabola that intersects the x-axis at points (-1, 0) and (3, 0)?
The equation of a parabola that intersects the x-axis at points (-1, 0) and
(3, 0) is y = x² - 2x - 3.
What is a parabola?
An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola.
Since the parabola intersects x-axis at points (-1,0) and (3,0), the parabola has its axis parallel to y-axis.
The general equation for such parabola is,
y = ax² + bx + c
The roots of the quadratic equation is found when y = 0
We know that when y = 0, x = -1 , 3
So (x+1) (x - 3) = 0
Solving the above equation we can find the equation of parabola
x² - 3x + x -3 = y
Therefore y = x² - 2x- 3 is the equation of a parabola that intersects the x-axis at points (-1, 0) and (3, 0).
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For questions 8 and 9, determine if S could lie on the perpendicular bisector of QR with the
given coordinates.
8. Q(-5, -1), R(3, 7), S(4,-2)
9. Q(-5, 4), R(8. -3), S(-2. -5)
Yes S lies as the perpendicular bisector as asked in the question .
The distance is calculated with the use of distance formula,
d = √( x2 - x1 )² + ( y2 - y1 )²
Now , we are suppose to calculate the distance between the points S and R, given their values are ,
S=(4,-2) and
R=(3,7)
Using distance formula ,
d = √( 3 - 4 )² + ( 7 - (-2))²
d = √ 1 + 81
= √82
Now, the distance between Q and S can be found as ,
Q=(-5,-1)
S=(4,-2)
d = d = √(4 + 5)² + ( -2 + 1)²
d = √ 81 + 1
= √82
As the distance between the two ends of the segment and the point S is the same, the point S must lie on the perpendicular bisector of QR, according to the perpendicular bisector theorem.
For question number 9 the distance between Q and S are,
Q=(-5,4)
S=(-2,-5)
d = √( -2 -5)² + ( 5 - 4)²
d = √ 9 + 1
= √10
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HELP ASAP PLS 50!!!!
Identify or mark the missing side or angle that would make triangle ABC a congruent to triangle PDF by SAS
Answer:
AC = PF
Step-by-step explanation:
evaluate the expression 27 2/3
Answer: 9
Step-by-step explanation: Simplify the expression = 3 *3 ( 2 /3 )
Cancel the common factor of 3 = 3*3
Raise 3 to the power of 2 = 9
The mixed fraction number 27 ²/₃ in the form of the decimal number will be 27.667.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The mixed fraction number is given below.
⇒ 27 ²/₃
Convert the mixed fraction number into a decimal number. Then we have
⇒ 27 ²/₃
⇒ 27 + ²/₃
⇒ 27 + 0.667
⇒ 27.667
The mixed fraction number 27 ²/₃ in the form of the decimal number will be 27.667.
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