Please help. Any uncessary answers will be reported.
In the Pythagorean Planet, it is a tradition that you can only marry someone when the sum of the square of the bride and the groom combined is the square of the age of the brides father. The pythagorean Juniper got married when she was 33 years old, at that time her father was over 500 years old. How old was the groom?
Answers
We can assume the age of the groom is represents by the variable "x."
According to the given tradition in the Pythagorean Planet, the sum of the square of the bride's age (33^2) and the square of the groom's age (x^2) must be equal to the square of the age of the bride's father (500^2).
Therefore, we can set up the equation:
\( 33^2 + 500^2 = x^2 \\ 1089 + x^2 = 250000 \\ x^2 = 250000-1089 = 248911 \\ x = \sqrt{248911} \approx 498.91 \)
Therefore, the groom was approximately 498.91 years old when Juniper got married.
Related Questions
( 25 points because nobody is answering it!!!!!!! ive posted this question like 4 other timesssss)
During an experiment, the temperature of a liquid increased 6 degrees in 30 minutes. The temperature increased at a steady rate.
By how much did the temperature increase every minute?
Answers
Answer:
0.2
Step-by-step explanation:
\(\frac{6}{30} =\frac{x}{1} \\\\30x=6\\\\x=\frac{6}{30} \\\\x=\frac{1}{5}\)
1/5 = 0.2
Answer:
the temperature increase is 0.2 degrees per minute
Step-by-step explanation:
2/5 divided by 8/15 in its simplest form
Answers
Step-by-step explanation:
2/5 ÷ 8/15
2/5 × 15/8
=3/4
Hope it helps ya
The solution of 2/5 divided by 8/15 in its simplest form is,
⇒ 3/4
We have to given that,
Find 2/5 divided by 8/15 in its simplest form.
To divide fractions, multiply the first fraction by the reciprocal of the second fraction
Let a, b, c and d be real numbers. Divide a fraction (a/b) by another fraction (c/d), we can multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of a fraction is obtained by swapping the numerator and denominator. So, the reciprocal of (c/d) is (d/c).
To divide (a/b) by (c/d), multiply the first fraction by the reciprocal of the second fraction:
(a/b) ÷ (c/d) = (a/b) x (d/c)
Multiplying the numerators and denominators:
(ad) / (bc)
Therefore, the result of (a/b) divided by (c/d) is (ad) / (bc).
Here, 2/5 divided by 8/15
⇒ 2/5 ÷ 8/15
⇒ 2/5 × 15/8
⇒ 30/40
⇒ 3 /4
Therefore, The solution of 2/5 divided by 8/15 in its simplest form is,
⇒ 3/4
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what’s number 10??? plz help
Answers
Answer:
Q10: answer
3.74165
Step-by-step explanation:
please mark me brainliest
Answer:
3.7416574
Step-by-step explanation:
\(\sqrt{14}\)
3 * 3 = 9
4 * 4 = 16
So we know that we are dealing with decimals because 14 is in-between 9 and 16.
We try all decimals.
3.7 * 3.7 = 13.69
3.8 * 3.8 = 14.44
Now we know it is in-between 3.7 and 3.8.
We try all decimals.
3.74 * 3.74 = 13.9876
3.75 * 3.75 = 14.0625
Now we know it is in-between 3.74 and 3.75
We try all decimals and keep going till we get 14.
When we get 14 we will be doing
3.74165738677 * 3.74165738677 = 14
Then we go to the nearest integer.
3.74165738677 => 3.7416573868 => 3.741657387 => 3.74165739 => 3.7416574 => 3.7416574
Now we can't go anymore. This is our answer.
Please give brainliest. I've been working hard to get it.
Ashley’s math average decreased 12 points to 78. Then she completed an extra credit assignment and raised her final average by 5 points. Write an equation to show how Ashley’s average changed.
What was her starting average?
points
How much did her average increase or decrease, overall?
points
What was her final average?
points
Answers
Answer:
1. 90
2. -12 +5
3. 83
Step-by-step explanation:
90 -12 + 5 = 83
3x + 8 < 4(x - 3)Solve the inequality and graph the solution set.
Answers
Step-by-step explanation:
3x+8<4x−12
Move all terms containing x
to the left side of the inequality.
Tap for more steps...
−x+8<−12
Move all terms not containing x
−x<−20
x>20
Interval Notation:(20,∞)
What information is necessary to prove two triangles are
similar by the SAS similarity theorem?
you need to show that two sides of one triangle are proportional to
Answers
Answer:
You must prove that 2 sides and an included angle of 2 triangles are congruent, hence the name of the theorem: SAS (side angle side)
I need help identifying if it's a cube or square root function
Answers
answer 2is the answer I thought
Morganton Company makes one product and it provided the following information to help prepare the master budget:
The budgeted selling price per unit is $60. Budgeted unit sales for June, July, August, and September are 8,600, 17,000, 19,000, and 20,000 units, respectively. All sales are on credit.
Thirty percent of credit sales are collected in the month of the sale and 70% in the following month.
The ending finished goods inventory equals 25% of the following month’s unit sales.
The ending raw materials inventory equals 10% of the following month’s raw materials production needs. Each unit of finished goods requires 5 pounds of raw materials. The raw materials cost $2.40 per pound.
Thirty five percent of raw materials purchases are paid for in the month of purchase and 65% in the following month.
The direct labor wage rate is $14 per hour. Each unit of finished goods requires two direct labor-hours.
The variable selling and administrative expense per unit sold is $1.80. The fixed selling and administrative expense per month is $67,000.
5. If 96,250 pounds of raw materials are needed to meet production in August, how many pounds of raw materials should be purchased in July?
Answers
Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July
X pounds - 0.35 * X pounds = 9,500 pounds
Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.
To determine the number of pounds of raw materials that should be purchased in July, we need to calculate the raw materials production needs for August and then consider the inventory policies given in the information provided.
Each unit of finished goods requires 5 pounds of raw materials. The budgeted unit sales for August are 19,000 units. Therefore, the raw materials production needs for August would be 19,000 units multiplied by 5 pounds per unit, which equals 95,000 pounds.
The ending raw materials inventory equals 10% of the following month’s raw materials production needs. Therefore, the desired ending raw materials inventory for July would be 10% of 95,000 pounds, which is 9,500 pounds.
To calculate the raw materials purchases for July, we need to consider the payment terms provided. Thirty-five percent of raw materials purchases are paid for in the month of purchase and 65% in the following month.
Let's assume the raw materials purchases for July are X pounds. Then the payment for 35% of X pounds will be made in July, and the payment for 65% of X pounds will be made in August.
The payment for raw materials purchases in July (35% of X pounds) will be:
0.35 * X pounds
The payment for raw materials purchases in August (65% of X pounds) will be:
0.65 * X pounds
Since the raw materials purchases for July should cover the desired ending raw materials inventory for July (9,500 pounds), we can set up the following equation:
Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July
X pounds - 0.35 * X pounds = 9,500 pounds
Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.
for such more question on equation
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There are 10 girls and 20 boys in a class.
The class has a test.
The mean mark for all the class is 70
The mean mark for all the boys is 62
Work out the mean mark for the girls.
Answers
Answer:
the mean mark for girls is 86
Step-by-step explanation:
62x20+10xX=70*(10+20)
The 'number' has seven digits.
The number is more than 4 million but less than 5 million.
The ten thousands digit is the number of sides of a triangle.
The ones digit is half the hundreds digit.
The hundred thousands is 99 + 11.
The hundreds digit is 25% the thousands digit.
The thousands digit is double the millions digit.
The tens digit is the millions digit less double the ones digit.
Can you say the number?
Answers
Answer:
The number has seven digits._ _ _ _ _ _ _
The number is more than 4 million but less than 5 million.4 _ _ _ _ _ _
The ten thousands digit is the number of sides of a triangle.4 _ 3 _ _ _ _
The ones digit is half the hundreds digit.The hundred thousands is 99 + 11.4 2 3 _ _ _ _
The hundreds digit is 25% the thousands digit.The thousands digit is double the millions digit.4 2 3 8 _ _ _
The tens digit is the millions digit less double the ones digit.Now , according to the 6th step ,
4 2 3 8 6 _ _
According to the 4th step ,
4 2 3 8 6 _ 3
and finally , according to the last step ,
4 2 3 8 6 5 3
hope helpful! :)
Convert the polar equation of a conic section to a rectangular equation: r(1+3 sinθ) =4
Answers
The rectangular equation will be (y-1)(y-2) = x²/8
To convert from polar coordinates (r, θ) to rectangular coordinates (x, y), we use the following equations,
x = r Cos θ
y = r Sin θ
x² + y² = r²
So,
r(1 + 3 Sin θ) = 4
r + 3r Sin θ = 4
r = 4 - 3r Sin θ
√x²+y² = 4 - 3y
Squaring both sides,
x² + y² = 16 + 9y² - 24y
x² = 8y²-24y+16
(y-1)(y-2) = x²/8
Hence the rectangular equation will be (y-1)(y-2) = x²/8
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Help me please (10 points )
Answers
Answer:
use mathnway on google browser
The plumber charged Mrs. Evans $225.00 for materials and $35.00 an hour for labor to fix her leaky sink. The total bill came to $347.50. How many hours did it take the plumber to fix the sink?
Answers
Answer:
3.5 or 3\(\frac{1}{2}\)
Step-by-step explanation:
First, subtract. 347.50 - 225.00 = 122.50
Then, divide. 122.50 ÷ 35 = 3.5
Next, you can turn the decimal into a fraction 3\(\frac{1}{2}\)
Lastly, have a wonderful day! :)
Which of the numbers 21, 24, 45, 30, 42, 60, and 84 are multiples of:
a) 3? b) 12? c) 7? d) 15?
Answers
Answer:
A 3
Step-by-step explanation:
3 is a multiple of all of the numbers
Answer:
3
Step-by-step explanation:
3×7=21
3×8=24
3×15=45
3×10=30
3×14=42
3×20=60
3×28=84
According to the scale on the map, 1 inch on the map= 12 miles how many miles are represented by 2 1/2 inches on the map?
Answers
Answer:
The miles are represented by 4 inches on the map, if the scale on a map, is 1 inch on the map = 12 miles is 48 miles.
Step-by-step explanation:
One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical sizes.
Given data:
According to the scale on a map, 1 inch on the map = 12 miles
Calculate the miles as shown below,
Miles in 4 inches on the map = 4 × miles in 1 inch on the map
Miles in 4 inches on the map = 4 × 12 = 48 miles,
Therefore, the miles are represented by 4 inches on the map, if the scale on a map, is 1 inch on the map = 12 miles is 48 miles.
Answer: 30 miles
Step-by-step explanation: So we know that 1 in=12 miles. So we can figure out the 2 inches part, 24 miles. 12 + 12 =24. And we know that 1/2 of 12 is 6. So that means that 24 + 6 = 30. 2 1/2 inches = 30 miles.
find the coordinate of a triangle a(1,3) , b(2,5) and c(3,3) after being rotated about fixed point p(2,4) by 45 in clockwise direction and then translate (3,4) .
Answers
After the transformation point A will be at (5, 6.586), point B will be at (5.121, 7.121) and point C will be at (6.121, 5.121).
STEPS FOR FIND THE COORDINATEThe coordinates of a triangle after rotation and translation can be found using the following steps:
Rotation: To rotate a point (x, y) about a fixed point (a, b) by an angle θ (in this case, 45 degrees in the clockwise direction), you can use the following formulas to find the new coordinates:x' = (x - a) * cos(θ) - (y - b) * sin(θ) + a
y' = (x - a) * sin(θ) + (y - b) * cos(θ) + b
Translation: To translate a point (x, y) by a distance (dx, dy) in the x and y direction, you can use the following formulas to find the new coordinates:x' = x + dx
y' = y + dy
So for the first vertex of the triangle(1,3) after being rotated about fixed point p(2,4) by 45 in clockwise directionx' = (1 - 2) * cos(45) - (3 - 4) * sin(45) + 2 = -1.121 + 1.121 + 2 = 2.000
y' = (1 - 2) * sin(45) + (3 - 4) * cos(45) + 4 = -0.707 - 0.707 + 4 = 2.586
And after the translation (3,4) for point Ax' = 2 + 3 = 5
y' = 2.586 + 4 = 6.586
similarly for point B(2,5) will be (5.121,7.121)
and for point C(3,3) will be (6.121,5.121)
So after the transformation point A will be at (5, 6.586), point B will be at (5.121, 7.121) and point C will be at (6.121, 5.121)Learn more about coordinate of a triangle here:
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please help me answer this question thank you
Answers
Answer:
A
Step-by-step explanation:
give
given the slope of the line and one point that it passes through represent the equation of the line in point slope form then rewrite the equation in slope intercept form.
part A: (-4,7);m=-3/4
Answers
Slope intercept form needs two things. The slope and y-intercept.
y = mx + b
m = the slope
b = y-intercept.
In this problem, we are given the slope and a point the line passes through.
m = -3/4
So far we have y = -3/4x + b
To find b, we need to plug the point into the line.
-4 is the x-coordinate, so we plug -4 into x
7 is the y-coordinate, so we plug 7 into y
7 = -3/4(-4) + b
Simplify.
7 = 3 + b
Subtract 3 from both sides.
4 = b
Our equation is: y = -3/4x + 4
The point-slope intercept of the given line with slope -3/4 and passes through (-4,7) is y = (-3/4) x + 4.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
As per the given,
(-4,7);m=-3/4
The equation of a linear line in point-slope point is given as,
y = mx + c
Put (-4,7);m=-3/4
7 = -3/4 (-4) + c
c = 7 - 3 = 4
Thus equation will be as, y = (-3/4) x + 4
Hence "The point-slope intercept of the given line with slope -3/4 and passes through (-4,7) is y = (-3/4) x + 4".
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Simplify
4(1 + 9x) thank you
Answers
Answer:
4+36x
Step-by-step explanation:
you multiply the number on the outside of the parentheses with the numbers in the inside of the parentheses.
4 times 1 = 4
4 times 9x = 36x
36x+4
Find the missing angle in the triangle.
Answers
Answer:
the missing angle is 90 degrees (its a right angle triangle)
Step-by-step explanation:
29+61=90
90-180=90
1.7 PS-6
Quesu
Challenge You buy 3.17 pounds of pears, 1.45 pounds of oranges, and 1.77 pounds of grapes. What
is your total bill?
Grocery Store Prices
Item
Cost
Pears
$0.99 per
pound
Oranges $1.19 per
pound
Grapes
$1.29 per
pound
Your total bill is $
(Round to the nearest cent as needed.)
Ento
Answers
Step-by-step explanation:
the price of:
3.17 pounds of pears = 3.17 × 0.99
= $3.14
1.45 pounds of oranges = 1.45 × $1.19 = $1.73
1.77 pounds of grapes = 1.77 × $1.29 =$2.28
so , the total bill = 3.14+ 1.73+ 2.28 = $7.15
Find prices of all
pears
3.17(0.99)$3.14Oranges
1.19(1.45)$1.73Grapes
1.77(1.29)$2.28Total
2.28+1.73+3.14$7.15⭐ Question 2
What is...
three times the sum of seven plus two divided by the square root of four
Hint: Try doing seven plus two first.
Answers
using podmas rule:
P - parenthesisO - OrderD - DivisionM - MultiplicationA - AdditionS - subtraction==============
\(\dashrightarrow \sf 3 * (7+2) \ \div \ \sqrt{4}\)
\(\dashrightarrow \sf 3 \ * \ 9\ \div \ \sqrt{4}\)
\(\dashrightarrow \sf 3 \ * \ 9\ \div \ 2\)
\(\dashrightarrow \sf 3 \ * \ 4.5\)
\(\dashrightarrow \sf \ 13.5\)
Answer:
13.5
Step-by-step explanation:
\(3*(7+2)/\sqrt{4}\)
You use PEDMAS - priority of calculation
1) Paranthesis
2) Exponents
3) Divide or Multiple (whichever comes first, reading left to right)
4) Add or Subtract (whichever comes first, reading left to right)
so,
Parenthesis first:
\(7+2=9\)
becomes
\(3*9/\sqrt{4}\)
No exponents, so we skip this step
Left to right for multiply or divide: first comes multiply.
\(3*9 = 27\)
becomes
\(27/\sqrt{4}\)
Now, last one is divide:
\(27/\sqrt{4} = 27/2 = 13.5\)
Evaluate the expression: −(8 − 12) + 60 + (−4)2.
Answers
Answer: 80
Step-by-step explanation:
⇒ −(8 − 12) + 60 + (−4)²
⇒ -(-4) + 60 + 16
⇒ 4 + 60 + 16
⇒ 80
What
is an arithmetic sequence with a common difference of −2?
Answers
Answer:
An arithmetic sequence with a common difference of −2 is 20,18,16,14,12..
Step-by-step explanation:
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is same. Here, the common difference is -2, which means that each term in the sequence is obtained by subtracting 2 from the previous term.
To find the arithmetic sequence with a common difference of -2, you can start with an first term and then subtract 2 successively to find the subsequent terms.
Let the initial term is 20. Subtracting 2 from 20, we get 18. Subtracting 2 from 18, we get 16. Continuing this pattern, we subtract 2 from each subsequent term to generate the sequence. The arithmetic sequence with a common difference of -2 starting from 20 is
20,18,16,14,12
In this sequence, each term is obtained by subtracting 2 from the previous term, resulting in a common difference of -2.
Help bab out with mafs? Show work and answers please!
Answers
rectangle bounded by the x-axis and the semicircle x" (see figure). What length and width should the rectangle have so that its area maximum? smaller value : ___larger value: ___
Answers
The area of the rectangle will be 4.5 square units and the length and width are x=3 and y=1.5.
The equation for the line is y = -.5x + 3 (slope/intercept form).
Draw a random rectangle with the y-axis, x-axis, and the point (x,y) on the line y = -.5x + 3 as its corners.
This point's height from the x-axis (the length of the rec) will be equal to -.5x + 3 and its length from the y-axis will be x (the width of the rec).
Knowing that A = L*W equals the area of a rectangle
A(x) = (-.5x + 3) * x = -.5x^2 + 3x
In search of A'(x) = -x + 3. And we desire that A'(x) be 0.
As a result, y = -.5(3) + 3 = 1.5 and -x + 3 = 0 imply that x = 3.
So the maximum area of this rectangle is L*W = 1.5 * 3 = 4.5 square units. (We know this is a max and not a min since A’’(x) = -1 which makes the graph concave down)
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Find the middle term of the expansion of (2x/y^3)^12
Answers
To find the middle term of the expansion of (2x/y^3)^12, we need to first determine the number of terms in the expansion.
Using the formula for the binomial theorem, we know that the number of terms in the expansion of (2x/y^3)^12 is 13.
Now, to find the middle term, we need to find the term that is in the middle of the expansion. Since there are 13 terms in the expansion, the middle term is the 7th term.
The general term of the expansion is given by:
T(r+1) = (12 C r) (2x)^r (y^-3)^(12-r)
So, the 7th term is:
T(8) = (12 C 7) (2x)^7 (y^-3)^(5)
Simplifying this expression, we get:
T(8) = (792) (128x^7 / y^15)
Therefore, the middle term of the expansion is 792(128x^7/y^15)
An art supplies store sells boxes that contain colored pencils and markers. Each box has a colored pencil to marker ratio of 5 to 2. Complete the table for the missing number of colored pencils, markers, or total number of colored pencils and markers in each box for sale.
Answers
Based on the information, we can infer that the tables are completed as follows: 5, 10, 15, 4, 8.
How to complete the table of ratios?To complete the table of the ratios we must take into account the information provided in the fragment. According to the above, in box A for every two markers there are 5 pencils and in box B for every three markers there are 4 pencils. Then the ratios would be the following:
Box A
2 markers, 5 pencils.4 markers, 10 pencils.6 markers, 15 pencils.box B
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Which graph shows u + v for the given vectors u and v?
Answers
Answer:
The answer is A
Step-by-step explanation:
When you move v's tail to u's head, you see that the vectors align up.
The graph shows (u + v) for the given vectors u and v will be Graph A.
What is vector ?A vector is an object that has both a magnitude and a direction. Magnitude defines the size of the vector. It is represented by a line with an arrow, where the length of the line is the magnitude of the vector and the arrow shows the direction.
We have,
Four graphs and we have to tell which is the correct graph for (u + v).
So,
To add two vectors, add the corresponding components.
i.e. The sum of u and v vector = ( u₁ + v₁, u₂ + v₂)
i.e.
Let u = (u₁, u₂) and
v = (v₁, v₂)
Now,
(u + v) = ( u₁ + v₁, u₂ + v₂)
So,
From Graph A,
We have,
u = (1, 4) and v = (2, -2)
i.e.
u₁ = 1,
u₂ = 4,
v₁ = 2,
v₂ = -2
So,
Using the addition method of vector,
i.e.
(u + v) = ( u₁ + v₁, u₂ + v₂)
Substituting values,
(u + v) = [( 1 + 2), (4 + (-2))]
We get,
(u + v) = (3, 2)
So,
The graph A represents the correct points of (u +v).
Hence, we can say that the graph shows (u + v) for the given vectors u and v will be Graph A.
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Which statement is true about the angle bisectors of a triangle?
Answers
Answer:
Follows are the solution to the given question:
Step-by-step explanation:
There are missing details, which is why its solution is as follows:
When an angle bisector points so, its two sides of the corner are equidistant. Its corner bisector of a triangle angle is a straight line splitting its angle into two congruent directions. In such a single point, calling its incentives, follow three-angle engineers are required of its three triangle angles.