Fyodor and his three sons, Ivan, Dmitri and Alyosha, are standing exactly on the corners of a rectangular room. Fyodor is $3$ meters from Dmitri and $5$ meters from Ivan. What is the minimum possible distance that Fyodor could be from Alyosha, in meters
Answers
The minimum possible distance that Fyodor could be from Alyosha is 4 meters.
Given Information and Deduction
It is given that Fyodor is 3 meters in distance away from Dmitri and 5 meters from Ivan.
Now, since we know that the longest side of a right angle triangle formed by the dividing the rectangular room into two parts using a diagonal is the hypotenuse. Thus, if we want to find the minimum possible distance between Fyodor and Alyosha, we will have to assume that Ivan is standing diagonally opposite to Fyodor, as shown in the figure below.
Calculating the Minimum Distance
According to Pythagoras Theorem,
(hypotenuse)² = (base)² + (perpendicular)²
Here, the hypotenuse is the distance between Fyodor and Ivan.
Perpendicular and the base are the distances between Fyodor and Dmitri, and Fyodor and Alyosha respectively.
⇒ base = √(hypotenuse)² -(perpendicular)²
⇒ base = √(5)²-(3)²
⇒ base = √(25-9)
⇒ base = √16
⇒ base = 4 meters
Therefore, the minimum possible distance between Fyodor and Alyosha is 4 meters.
Learn more about distance here:
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Related Questions
Plz help me with this question
Answers
Answer:
C
Step-by-step explanation:
Remark
There are probably a couple of ways that you could do this. I'm going to pick the most obvious way.
Givens.
KN = 2.5
NO = 10
LM = 3
MP = x
Equation
NO/KN = PM / LM
Solution
10 / 2.5 = x / 3 Cross multiply
2.5x = 10 * 3 Combine
2.5x = 30 Divide by 2.5
x = 30/2.5
x = 12
That looks like it should be the answer, and it almost is, but you are asked for LP.
LP = LM + MP
LP = 3 + 12
LP = 15
The answer is 15
Can someone help me with this math question plz i will appreciate it. So this is the question: some of the methods you can use to add or subtract are?.
Answers
Answer:
add: jump strategy, adding up to ten, do the tens last, compensation method, double when the numbers are the same, count from a number upwards
Subtract: take away, minus decrease, leave, how many are left over, difference between, half/halve
Step-by-step explanation:
please help solve :D
Answers
Answer:
101
Step-by-step explanation:
4x+11 + 6x -1 = 180 (because they are supplementary)
10x =170
x = 17
angle L = 6(17) - 1 = 101
Angle L and Angle N are congruent. so N = 101
Please help me! 20 points!
Enter your answer and show all the steps that you use to solve this problem in the space provided.
Multiply and simplify if possible.
√7x(√x−7√7)
Thank you lovely
Answers
Step-by-step explanation:
[tex] \sqrt{7x {}^{2} } - 7 \sqrt{49x} \\ \sqrt{7} x - 7 \times 7 \sqrt{x} \\ \sqrt{7} x - 49 \sqrt{x} [/tex]
I need with geometry, I need the blank spaces, anything is appreciated!
Answers
Answer:
2: 139
3: 139
4:41
Answer:
Step-by-step explanation:
10) ∠2 + 41 = 180 {Linear pair}
∠2 = 180 - 41
∠2 = 139
11) ∠3 = ∠2 {Vertically opposite angles}
∠3 = 139
12) ∠4 = 41 {Vertically opposite angles}
plzz answer fasttttt
Answers
Answer:
45 square centimeters.
Step-by-step explanation:
Length(L) = 9 cm
breadth (b) = 5 cm
Area of the rectangle
= L * b
= 9 * 5
= 45 cm²
Hope it will help :)
Answer: 45 square centimeters
Step-by-step explanation: 9cm x 5cm = 45cm
Bona ma numec claudiu si vreu sa stiu si eu cat face 100+340
Answers
Answer
100+340=440
Step-by-step explanation:
PLEASE HELP LOOOOOOOKKKKKKKK ATT SS
Answers
Answer:
1
Step-by-step explanation:
d=-4 , f = 3
so, [8-(-4)]/4 × 3
= (8+4)/12
= 12/12
=1
Hope it helps
Answer:
1 is the answer
Step-by-step explanation:
8-(-4) / 4(3) = 1
Can someone help me out with these?
"write a linear equation for line m,n,l,p"
Answers
Answer:
Step-by-step explanation:
m: y = -2x + 4
n: y = x - 1
l: y = 4
p: x = -4
m: y=-2x+4
slope: 2
2/1=2
Its negative because the line is going down from left to right
y-intercept:
it crosses the y axis at (0,4)
n: y=x-1
slope: 1
1/1=1
Its positive because the line is going up from left to right
y-intercept:
it crosses the y axis at (0,-1)
l: y=4
slope: 0
A vertical line's slope is always 0
y-intercept:
it crosses the y axis at (0,4)
p: x=-4
To find the equation for a horizontal line, you need to find what x always is no matter what.
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz helpppppppppppppp
Answers
Answer:
its the first one.
Step-by-step explanation:
The bases of a trapezoid lie on the lines y=2X +7 and y= 2X -5. Write the equation that contains the midsegment of the trapezoid
Answers
Given:
The bases of a trapezoid lie on the lines
[tex]y=2x+7[/tex]
[tex]y=2x-5[/tex]
To find:
The equation that contains the midsegment of the trapezoid.
Solution:
The slope intercept form of a line is
[tex]y=mx+b[/tex]
Where, m is slope and b is y-intercept.
On comparing [tex]y=2x+7[/tex] with slope intercept form, we get
[tex]m_1=2,b_1=7[/tex]
On comparing [tex]y=2x-5[/tex] with slope intercept form, we get
[tex]m_2=2,b_2=-5[/tex]
The slope of parallel lines are equal and midsegment of a trapezoid is parallel to the bases. So, the slope of the bases line and the midsegment line are equal.
[tex]m=m_1=m_2=2[/tex]
The y-intercept of one base is 7 and y-intercept of second base is -5. The y-intercept of the midsegment is equal to the average of y-intersects of the bases.
[tex]b=\dfrac{b_1+b_2}{2}[/tex]
[tex]b=\dfrac{7-5}{2}[/tex]
[tex]b=\dfrac{2}{2}[/tex]
[tex]b=1[/tex]
So, the y-intercept of the required line is 1.
Putting m=2 and b=1 in slope intercept form, we get
[tex]y=2x+1[/tex]
Therefore, the equation of line that contains the midsegment of the trapezoid is [tex]y=2x+1[/tex].
un bebe tiene 26.000.000.000 celulas. un adulto tiene cerca de 4.94×10¹³ celulas ¿ cuantas celulas mas tiene un adulto que un recien nacido? escribe la respuesta en notacion cientifica
Answers
el adulto tiene 13 células más que el bebe
The equation  is written in point-slope form. What is the equation written in slope-intercept form?    
Answers
Answer:y+6 = 1/3 (x, -9)
Step-by-step explanation:The equation y+6 = 1/3 (x, -9) is written in point-slope form. What is the equation written in slope-intercept form? The point-slope form of a line that has a slope of -2 and passes through point (5, -2) is shown below. ... The equation y - 2/3 = -2 (x - 1/4) is written in point-slope form.
30 points
Syed took out a cash advance of d dollars from a financing company. The company deducts a fee of 1/3 of the orig
advanced amount along with a wire transfer fee of $30.00. What is the final advanced amount that Syed receives if she takes out a
cash advance of $300?
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Answers
Whats chicken nugget plus chicken nugget
Answers
Answer:
MORE CHICKEN NUGGETS
Solve the system of equations using the elimination method.
3x + 4y = -2
2x + 3y = -1
Answers
Answer:
(-2, 1)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Terms/CoefficientsCoordinates (x, y)Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
3x + 4y = -2
2x + 3y = -1
Step 2: Rewrite Systems
Find LCM of both equations.
[1st Equation] Multiply everything by 2: 6x + 8y = -4[2nd Equation] Multiply everything by -3: -6x - 9y = 3Step 3: Redefine Systems
6x + 8y = -4
-6x - 9y = 3
Step 4: Solve for y
Elimination
Combine 2 equations: -y = -1[Division Property of Equality] Divide -1 on both sides: y = 1Step 5: Solve for x
Define original equation: 3x + 4y = -2Substitute in y: 3x + 4(1) = -2Multiply: 3x + 4 = -2[Subtraction Property of Equality] Subtract 4 on both sides: 3x = -6[Division Property of Equality] Divide 3 on both sides: x = -281 - 4x = 147 please help
Answers
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Step-by-step explanation:
Answer:
Step-by-step explanation:
Which of the following could represent consecutive even integers?
x + 1, x + 2
x + 1, x + 3
2x, 2x + 1
Answers
Answer:
only x+1 , x+3 COULD represent consecutive even integers
Step-by-step explanation:
only x+1 , x+3 COULD represent consecutive even integers
Consider the line 8x+6y= 7.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Answers
And the slope of a line perpendicular is 3/4
The county fair charges $.50 per ride and $10 to get
in. If you have $32, write an equation to find the
number of rides (r) you can go on.
Answers
Answer:
r=44 rides
Step-by-step explanation:
(32-10) ÷ 0.50 = r
r=44
Answer:
44 rides
Step-by-step explanation:
r=32-10/.50
r=44
Simplify the following expression 2n+6+4y-8
Answers
What is the sum of the measures of the interior angles of a 12-gon ?
A: 1620
B: 1800
C: 1980
D: 2160
Answers
Answer:
B. 1800 degrees.
Step-by-step explanation:
Just took the quiz on Edg (2020-2021)!!
John's high score on the Asteroid Game was 984. Mikes high score was 1,112. Rebecca just played the game and her high score was halfway between John's and Mikes. What was Rebecca's score?
Answers
Add the two numbers up:
984 + 1112 = 2096
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One serving of ice cream contains 1,400 calories. If 322 calories come from fat, what percent of the total calories come from fat?
Answers
Answer:
23%
Step-by-step explanation:
322 ÷ 1400 = 0.23 = 23%
Step-by-step explanation:
x percent of 1400 calories = 322 calories so, (x × 1400)÷100 = 322x = (322 × 100) ÷1400x = 32200 ÷ 1400x = 23MARK ME AS BRAINLISTPLZ FOLLOW MEWill give brainlyest (however you spell it)
Directions: Find the missing angles or arcs. Circles may not be drawn to scale.
Answers
Answer:
7. 30° 8. 97.5° 9. 90° 10. 55° 11. 100° 12. x=32° y=64°
I’ll mark as brainliest!!!
Find x and y plz help
Answers
In this type of triangle, x and y will be equal. The formula for the sides is x * rad 2 = 8 .
8/ rad 2 = 5.66
Both X and Y are 5.66 units.
Answer:
x = 6.81 and y = 4.20
Step-by-step explanation:
by using SOHCAHTOA
hypotenus = 8
adjacent = x
opposite = y
sin45° = y/8
y = 8sin45°
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cos45° = x/8
x = 8cos45°
x = 5.66
What mathematical term describes both 5.3 and 8.2 in the expression 5.3 x − 8.2 y + 11.1 ?
Answers
Answer:
coefficient
Step-by-step explanation:
write an expression in simplified form to represent the area of the trapezoid
Answers
what is the area of a rectangle when the two sides are 4200 and 4500 in meters squared
Answers
Answer 17400
Step-by-step explanation:
Answer:
A=1.89×10 7 (7 as the exponent)
Explanation:
Hi can anyone do this for me please do it on a piece of paper
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
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