Answer: C.) If the sum of the squares of the two shorter sides equals the square of the longest side, then the triangle is a right triangle.
Step-by-step explanation: i hope this helps! :)
The correct statement is (C)
What is Pythagoras theorem?The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides.
The Pythagoras theorem equation is expressed as, c2 = a2 + b2, where 'c' = hypotenuse of the right triangle and 'a' and 'b' are the other two legs. Hence, any triangle with one angle equal to 90 degrees produces a Pythagoras triangle and the Pythagoras equation can be applied in the triangle.
example:
The hypotenuse of a right-angled triangle is 16 units and one of the sides of the triangle is 8 units. Find the measure of the third side using the Pythagoras theorem formula.
Given : Hypotenuse = 16 units
Let us consider the given side of a triangle as the perpendicular height = 8 units
On substituting the given dimensions to the Pythagoras theorem formula
Hypotenuse2 = Base2 + Height2
162 = B2 + 82
B2 = 256 - 64
B = √192 = 13.856 units
So, Using the definition of Pythagoras theorem
the statement would be
If the sum of the squares of the two shorter sides equals the square of the longest side, then the triangle is a right triangle.
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The ABC manufacturing firm, the average withdrawal rate for product A is 20
cartons per day, safety stock is 5 days, order lead time is 10 days, and the
order quantity is 45 days.
Requirement: What are the maximum and average quantities of unit loads to be
stored? (Please help me solve this exercise in detail about the requirements of the question)
???????????????????????
Step-by-step explanation:
???????
Answer:
Answer:J is between H and K. If HJ=6x-5, JK=4x-6 and KH= 129, find the value of HJ
Explanation:J is between H and K. If HJ=6x-5, JK=4x-6 and KH= 129, find the value of HJ
Step-by-step explanation:
mark me as the brainliest
A letter use to represent a number value is called
Answer:
A variable
Step-by-step explanation:
Watch help video
Christian is driving on a long road trip. He currently has 12 gallons of gas in his car.
Each hour that he drives, his car uses up 1.25 gallons of gas. How much gas would be
in the tank after driving for 6 hours? How much gas would be left after t hours?
Gas left after 6 hours:
Gas left after t hours:
Submit Answer
attempt 1 out of 2 / problem 1 out of max 1
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Answer:
Gas left after 6 hours: 4.5 gallons
Step-by-step explanation:
multiply 1.25 by 6 which will be 7.50
then subtract 7.50 from 12 which will be 4.50
i think :)
1.25(−3.6)
??????????????????????????
Answer:
-4.5
Step-by-step explanation:
Answer:
-4.5
Step-by-step explanation:
1. Multiply 1.25 by -3.6:
[tex]1.25 * (-3.6)[/tex] [tex]-4.5[/tex]Sorry forgot the to put the question in.
Answer:
-2/3 rational i/2 irrational 0.7 rational √5 irrational √ 16 irrational 0 whole number 3.89 rational -4 integer
Step--by-step explanation:√ 5 rational or irrational
Natural Number: -2/3, 0.7,√16, 0, -4
Whole Number: 0.7,√16 0
Integers: -2/3, 0.7,√16,0, -4
Rational Number: -2/3, 0.7, √16,0, -4
Irrational Number: π/2, √5,
A bakery must pay the state 8% sales tax on this week's total sales of $2,050. How much sales tax will the bakery pay to the state for this week?
A. $164.00
B. $164.00
C. $256.25
D. $256.25
An election is over and a new student body president has been elected. The new president received 3 votes for every vote received by his opponent. The new president received 2193 votes. How many votes did his opponent receive?
A student's height is measured as 66 in. to the nearest inch. What are the
student's minimum and maximum possible heights?
How much more money do the employees from Hideaway Pizza make at
the end of the month than the employees at Red & Blue's? Round your
answer to the nearest hundredth.
Supposing linear functions for both cases, it is found that employees at Hideaway pizza make $250 more at the end of the month.
--------------------
The salary, in dollars, for x days of work at Hideaway pizza is of:
[tex]S_h(x) = 300 + 40x[/tex]
At Red & Blue's, it is of:
[tex]S_r(x) = 500 + 25x[/tex]
A month is 30 days, so, the salaries are:
[tex]S_h(30) = 300 + 40(30) = 300 + 1200 = 1500[/tex]
[tex]S_r = 500 + 25(30) = 500 + 750 = 1250[/tex]
1500 - 1250 = 250, thus:
Employees at Hideaway Pizza make $250 more at the end of the month.
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Use function notation to write the equation of the line
please asap
Answer:
b
Step-by-step explanation:
b
Solve the following expression when
v = 10 and e= 5
2v ÷ e + 3
Answer: 7
Step-by-step explanation:
[tex]2(10) \div 5 +3\\\\20 \div 5 + 3\\\\4+3\\\\\boxed{7}[/tex]
f(x)=10-9/2x
if f(x)=-53x find x
Answer:
x = -20/97
Step-by-step explanation:
f(x) = -53x is your output
so -53x = 10-9/2x
-53x - 10 = -9/2x
lets clear the fraction by multiplying each side by 2
-106x - 20 = -9x
-97x = 20
x = -20/97
When f(x) is equal to -53x, the value of x is approximately -0.2062. To find the value of x when f(x) is equal to -53x, we can set the two expressions equal to each other and solve for x:
Given: f(x) = 10 - (9/2)x , And: f(x) = -53x
Setting them equal to each other: 10 - (9/2)x = -53x
To solve for x, let's first get rid of the fraction. We can do this by multiplying the entire equation by 2: 2 * (10 - (9/2)x) = 2 * (-53x)
20 - 9x = -106x
Now, let's isolate the variable x on one side of the equation. Let's move the -9x term to the other side by adding 9x to both sides:
20 - 9x + 9x = -106x + 9x
20 = -97x
Finally, to find x, divide both sides by -97: x = 20 / -97
x ≈ -0.2062 (rounded to 4 decimal places)
So, when f(x) is equal to -53x, the value of x is approximately -0.2062.
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Find (f^-1)'(7) without finding the inverse function where f(x) = 5 – 2x^3.
Step-by-step explanation:
the derivative of an inverse function is
1/f'(f^-1(x))
f'(x) = -6x²
f^-1(7) is solving the original function equation for x under the knowledge that y = 7
7 = 5 - 2x³
2 = -2x³
-1 = x³
=>
x = -1
f'(-1) = -6×(-1)² = -6×1 = -6
so,
(f^-1)'(7) = -1/6
If f(n) = -3n + 10 what is the 5th term???
Frankie charges 30$ per week for tutoring plus a 10$ sign up fee. Complete the table to show the relationship, then graph the table of values. WILL GIVE BRAINLIEST pls no bs answers
Answer:Answer:
8
Step-by-step explanation:
10(8) + 20 = 120
15 (8) = 120
Graph the linear function:
r(x)=2
i dont know
[tex] = 3 \sqrt[5]{3} [/tex]
PLEASE HELP HELP
Referring to the Fig. in Question #31, the spinner is divided
into equal parts. What is the probability of
stopping on a multiple of 3?
Answer:75 ithink
Step-by-step explanation:
Whats 4+4+(6x168) and the answer in Spanish
Select all that are equivalent to
Assume a not equal to 0
***please answer fast***
Answer:
1 and 3
Step-by-step explanation:
This simplifies by cancelling out the lesser, so it is 1/a^7
can also be simplified to a^-7
Answer:
Options 1 & 3
Step-by-step explanation:
Hope it helps!
Please show step by step. I will chose Brainlyest once it lets me. 5 s and thanks too. Please answer ASAP.
Which of the following represents, "The difference between a number and elght Is twenty-two"?
A. N-8=22
B. 8 - N= 22
C. 8 - 22 N
Answer:
A.
Step-by-step explanation:
The difference means subtraction. The number mean a variable which is N. Then it is 8 (is means equal sign). Then 22 is the answer. The answer is N-8=22.
Have a great day!
a service company charges a 5% service fee
Answeis is that
is that the whole qeustion
Step-by-step explanation:
where is the image
When Sharon graduates from college, she accepts a job that pays $30,000 for the
first year with a promise of a 10% raise at the beginning of each of the next 9 years.
Samantha graduates the same year and accepts a job which pays $40,000 the first
year with a raise of $1,000 at the beginning of the next 9 years.
а
In which year will Sharon's annual salary first exceed Samantha
Answer:
year 6
Step-by-step explanation:
she will be at 48,000
the other girl will be at 46,000
The year in which the salary Sharon's first exceeds Samantha's salary if, is the 5th year Sharon graduates from college, she accepts a job that pays $30,000 for the is 5 years.
What is percentage?A percentage, often known as percent, is a division by 100. Percentage, which means "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is. Both manual calculation and the use of internet calculators are options.
Given:
Sharon's pay = $30000,
Raise percentage = 10%,
Samantha pays = $40000,
Raise by = $1000,
Calculate Sharon's pay as shown below,
Sharon's pay = 30000(1 + 0.10)⁴
Sharon's pay = 30000 × 1.77
Sharon's pay = $43923
Calculate pay of Samantha after 4 years,
The pay of Samantha = 40000 + 4 × 1000
The pay of Samantha = $44000
Thus, Sharon's annual salary first exceeds Samantha's after 4 years.
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A side of a square is 10 cm longer than the side of an equilateral triangle. The perimeter of the square is 3 times the perimeter of the triangle. Select the equation that represents the scenario when x represents the side of the triangle.
Here's the solution :
Side of the equilateral triangle = x Side of square = x + 10perimeter of equilateral triangle = 3 × x = 3x
perimeter of square = 4 × (x + 10)
now, according to above statement :
permission (square) = 3 × perimeter (triangle)
that is :
[tex]4(x + 10) = 3 \times 3x[/tex][tex]4x + 40 = 9x[/tex][tex]9x - 4x = 40[/tex][tex]5x = 40[/tex][tex]x = 8[/tex]therefore, side of triangle = 8 cm
perimeter (triangle) = 8 × 3 = 24 cmside of square = 8 + 10 = 18 cmperimeter of square= 18 × 4 = 72 xmAnswer:
Let the side of the equilateral triangle = x
so the side of the square = x+10
The perimeter of the triangle = 3x
and the perimeter of the square = 4(x+10)
condition : the perimeter of the square is 3 times the perimeter of the triangle.
so, 4(x+10) = 3*(3x)
Step-by-step explanation:
Write an equation for the description.
The length of a rectangle is twice its width. The perimeter of the rectangle is 130 feet.
Answer:
2x + 4x = 130
x = 21.7 feet
Step-by-step explanation:
Width: x
Length: 2x
2x + 2(2x) = 130
6x = 130
x = 130/6
x = 21.7 feet
How to simplify the following expressions?
1. 6x-3y+8x-(-4y-3y)
2. 1+8a/4-3+2a
Answer with Step-by-step explanation:
1. 6x-3y+8x-(-4y-3y)
14x-3y+4y+3y
14x+4y
1+8a/4-3+2a
-2+2a-2a
-2a
Write that down the equation for the lines that is the graphs are depicted below
PLZ HELP 20 points
Find slope of line (m)
[tex]\\ \sf\longmapsto m=\dfrac{2-0}{1-0}[/tex]
[tex]\\ \sf\longmapsto m=2[/tex]
Putting in y=mx+b
[tex]\\ \sf\longmapsto y=mx+b[/tex]
[tex]\\ \sf\longmapsto 2=2(1)+b[/tex]
[tex]\\ \sf\longmapsto 2=2+b[/tex]
[tex]\\ \sf\longmapsto b=2-2=0[/tex]
Equation of the line
[tex]\\ \sf\longmapsto y=2x[/tex]
Answer:
y = 2xStep-by-step explanation:
The line passes through the origin and holds the point A(1, 2).
This is a proportional relationship:
y = kxConsidering the coordinates of the point A:
2 = 1*k ⇒ k = 2The line is:
y = 2xHELP LAST ATTEMPT !?!!!!!
Answer:
x=31
Step-by-step explanation:
2x+1=63 [Vertically opposite angles]
2x=63-1
x=62/2
x=31
(WORTH 100 POINTS)On Monday, Latrena sent an email to 5 friends. On Tuesday, each of those friends sent an email to 5 different friends. On Wednesday, each person who received an email on Tuesday sent an email to 5 different friends. How many friends received an email on Wednesday? Enter your answer as a power by filling in the boxes.
Answer:
5 to the power of 3
Step-by-step explanation:
I took the K12 test :)
The number of friends who received an email on Wednesday can be obtained using the exponential relation between the initial number of mails and the number of days elapsed, which is 125 .
The initial number of friends who received an email = 5 friends. Number of days elapsed from Monday to Wednesday = 3 daysThe Number of people who received a mail on Wednesday can be expressed thus :
5³ = 5 × 5 × 5 = 125 friends.Therefore, 125 friends received an email on Wednesday.
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When converted to a household measurement, 9 kilograms is approximately equal to a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.
Answer:
a) 9000 gam
Step-by-step explanation:
Answer:
a) 9000 grams
Step-by-step explanation:
1 kg=1000 g
9*1000=9000