ABCD is a rectangle with sides 6 cm and
8 cm. If its diagonals cross at X, the length
of AX is
Answers
Answer:
The length of AX is 5 cm
Step-by-step explanation:
Diagonal of a Rectangle
Given a rectangle of dimensions W by L (as shown in the image below), the diagonal D is the segment that joins two opposite corners of the rectangle.
The diagonals cross at the center of the rectangle in point X, thus the length of AX is half the length of the diagonal.
Note the diagonal is the hypotenuse of a right triangle with legs W and L, thus:
[tex]D^2=W^2+L^2[/tex]
[tex]D^2=6^2+8^2[/tex]
[tex]D^2=36+64=100[/tex]
[tex]D=\sqrt{100}=10[/tex]
The length of the diagonal is 10 cm, thus the required distance is AX=10/2 = 5 cm.
The length of AX is 5 cm
Related Questions
Hi another math question please help:)
Answers
Answer:
1). Yes
2). Yes
3). No
Step-by-step explanation:
1). y = 3
We can rewrite this equation in the slope-intercept form as,
y = 0.x + 3
Here, slope = 0
y-intercept = 3
Therefore, it's a linear relation.
YES.
2). 2x - 5y = 10
5y = 2x - 10
y = [tex]\frac{2}{5}x-2[/tex]
Therefor, it's a linear function.
YES
3). y = x(x + 3)
y =x² + 3x
Since, this equation is a quadratic equation,
It's not a linear function.
NO
What is the distance from C to D?
A. 5 units
B. 1 unit
C. 25 units
D. 7 units
Answers
Answer:
Option A
Step-by-step explanation:
According to the distance formula , for any 2 points P & Q whose coordinates are (x¹ , y¹) and (x² , y²) respectively. So ,
[tex]PQ = \sqrt{(x^{2} - x^{1} )^{2} + (y^{2} - y^{1})^{2} }[/tex]
NOTE = HERE x² , y² DOESN'T MEAN THE SQUARES OF x & y . THEY ARE JUST COORDINATES.
According to the question ,
Coordinate of C = (2 , -1)
Coordinate of D = (5 , 3)
Using distance formula ,
[tex]CD = \sqrt{(5-2)^{2} + (3 -(-1))^{2} }[/tex]
[tex]=> CD = \sqrt{3^{2} + 4^{2} } = \sqrt{9 + 16} = \sqrt{25} = 5[/tex]
A House needs to some maintenance one sink is dripping water every 10 minutes and the other sink is dripping every 12 minutes if both sink dripped at the same time how many minutes until they both drip at the same time again
Answers
Answer:
60 minutes
Step-by-step explanation:
We solve this question using Lowest Common Factor method
Find and list multiples of each number of minutes( 12 and 10 minutes) until the first common multiple is found. This is the lowest common multiple.
Multiples of 10:
10, 20, 30, 40, 50, 60, 70, 80
Multiples of 12:
12, 24, 36, 48, 60, 72, 84
Therefore,
LCM(10, 12) = 60
The number if minutes until they both drip again is 60 minutes
Consider solving 푥2+12푥+5=0by completing the square. What number should be added to both sides of the equation? 푥2+12푥+_____=−5+_____a. -36b. 36c. 16d. -16
Answers
Answer:
B. 36
Step-by-step explanation:
The equation in question is not well written. Let the equation be;
x²+12x+5 = 0
In order to know what number should be added to both sides of the equation, we will take the square of the half of coefficient of x as shown;
Coefficient of x = 12
Half of 12 = 1/2(12) = 6
Square of 6 = 6² = 36
Hence the required number to add to both sides of the equation by completing the square method is 36
y=−34x 2 +1542x−10037
Answers
Answer:
10105
1542
Step-by-step explanation:
Please help ASAP!!!!
Answers
Answer:
(-2, 0, 1, 3)
Step-by-step explanation:
From the given graph, there are four x-intercepts, which are the points the graph crosses the x-axis
Taking the y-axis as the given vertical line, and each demarcation as representing one unit division, we have;
The x coordinates of the x-intercepts are given as follows;
1) Two lines to the left of the origin which represents "-2"
2) Through the origin, which represents "0"
3) One line to the right of the origin which represents "1"
4) Three lines to the right of the origin which represents "3"
The set of values that represents the x-intercepts of the function are;
(-2, 0, 1, and 3)
HELP ME IM USING ALL MY POINTS MULTIPLE QUESTONS PLZ
Answers
hope it will help you.........
Answer:
UV=UZ+ZV
Step-by-step explanation:
UV=3y-5+2z+2
=3y+2y-3
but UV =27=3y+2y-3
30 =3y+2y
bisect means cut in to two equal parts so
3x+3=3y+6
3x-3y=6-3
3x-3y=3
then combine the two equation
30 =3y+2y this is 30=5y which is y=6
3 = 3x-3y so enter y=6 into this equation
3=3x-3*6
3=3x-18
3x=21
x=7
Select ALL the correct answers.
Which equations have a greater unit rate than the rate represented in the table?
Y= 5/7x
Y= 3/4x
Y= 1/3x
Y= 7/9x
Y= 7/11x
Answers
Answer:
y = 5/7 x
y = 7/9 x
y = 3/4 x
Step-by-step explanation:
Firstly, let us get the unit rate on the table
That would be;
y/x = 2/3
y = (2/3)x
so the fractions greater than 2/3 will
be our answer
3/4 is greater
7/9 is greater
5/7 is greater
Identify the correct Triangle Congruence Theorem that describes the figure below.
A. SAS
B. ASA
C. AAS
D. SSS
E. HL
Answers
Answer:
ASA
Step-by-step explanation:
Don't worry I just know
The table shows the amount of apple sauce made from one apple of each size. Patrice has 17 medium apples and 23 large apples. What is the total amount of apple sauce that she can make with these apples? here's the table:
Apple size: small medium large
1/3 cup 1/2 cup 3/4 cup
Answers
Answer:
uhhhhh 75
Step-by-step explanation:
On a shelf there are 60 novels and 20 poetry books. What is the probability that person A chooses a novel and walks away with it and then person B walks up shortly after and picks another novel?
Answers
Find the value of 64 3/2
Answers
Answer:
65 1/2 or 65.5
Step-by-step explanation:
3/2 = 1.5 or 1 1/2
Answer:
65 1/2
Step-by-step explanation:
A livestock pen is built in the shape of a rectangle that is four times as long as is wide. The total perimeter is 60 ft. Write an equation that models the perimeter in terms of width and/or length, find the length and width.
Answers
Answer:
Perimeter = 60ft = 2(4x + x)
breadth = 6ft
length = 24ft
Step-by-step explanation:
Perimeter = 2 (L + B)
L =length
B = Breadth
x= breadth
4x = length
Perimeter = 60ft = 2(4x + x)
Dividing both sides by 2 :
30ft= 4x + x
30ft = 5x
divide both sides by 5
6ft= x
breadth = 6ft
length = 4x= 4 x 6 = 24ft
Normally a chef uses 14 ounces to make chocolate chip cookies but he started using 20.44 ounces instead he should advertise the cookies as having percent more chocolate
Answers
(20.44-14)/14
Kristen invested $1,800 in an account paying 6.5% simple interest. After 5 years, what is the balance of her account?
Answers
Answer: 2,385
Step-by-step explanation:
PLZ HELP ME
saeszxdrctfvgybhunjimkoploihuy7gt5rdesxrdfghbinug 6frbed46c5rtf
Answers
Answer:
Sorry just trying to get pts
Step-by-step explanation:
X^3 + 4x^2 - 11x - 30 = (x+2) (x-3) (x+5)=0
Answers
Answer:
STEP 1
Equation at the end of step 1
(((x3) - 22x2) - 11x) + 30
STEP 2
Checking for a perfect cube
2.1 x3-4x2-11x+30 is not a perfect cube
Trying to factor by pulling out :
2.2 Factoring: x3-4x2-11x+30
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -11x+30
Group 2: x3-4x2
Pull out from each group separately :
Group 1: (-11x+30) • (1) = (11x-30) • (-1)
Group 2: (x-4) • (x2)
The length of a planet's orbit around a star is approximately 24,130,000 km.
It takes the planet about 1440 Earth days to complete a full orbit.
What is the planet's average speed in kmh-1 to 3sf?
Answers
hii I am enter in wrong serve ....
Answer:
have u goa answer
Step-by-step explanation:
what does mujer culona
mean
Answers
1) Ben has 15 coins, all dimes and quarters, worth $2.55. How
many dimes and how many quarters does Ben have?
Answers
Answer:
Ben has 8 dimes and 7 quarters.
Step-by-step explanation:
Given that:
Number of coins = 15
Worth of coins = $2.55 = 2.55 * 100 = 255 cents
Let,
x be the number of dimes
y be the number of quarters
According to given statement,
x+y=15 Eqn 1
10x+25y=255 Eqn 2
Multiplying Eqn 1 by 10
10(x+y=15)
10x+10y=150 Eqn 3
Subtracting Eqn 3 from Eqn 2
(10x+25y)-(10x+10y) = 255 - 150
10x+25y-10x-10y=105
15y=105
Dividing both sides by 15
[tex]\frac{15y}{15}=\frac{105}{15}\\y=7\\[/tex]
Putting y=7 in Eqn 1
x+7=15
x=8
Hence,
Ben has 8 dimes and 7 quarters.
Can someone help w this
Answers
Which gives the prices in order, from least to greatest
Answers
Answer:
is there a picture to go with the problem?
ARE ON
1. Which of the following is most likely a graph of y=-2x +3?
Answers
A car rental company’s standard charge includes an initial fee plus an additional fee for each mile driven. the standard charge S (in dollars) is given by the function S = 0.40M +18.95, where M is the number of miles driven.
The company also offers an option to ensure the car against damage. The insurance charge I (in dollars) is given by the function I= 0.15 M + 5.70
Let C be the total charge (in dollars) for a rental that includes insurance. Write an equation relating C to M. Simplify your answer as much as possible.
C=
What does ac equal?? ^^
Answers
Answer:
C=0.55M+24.65
Step-by-step explanation:
0.40M+0.15M=0.55M
18.95+5.70=24.65
Consider two people where one person is 25% taller than the other but proportion in exactly the same way That the taller person looks like a lager version of the shorter person Suppose the shorter person has a 36%-inch waist what size is the the taller person's waist?
Answers
Answer:
46.8 inches
Step-by-step explanation:
Taller person = 30% more than height of shorter individual
Waist size of shorter person = 36 inches
Since they are proportioned in the same way:
Waist size of the taller person will be 30% larger than the waist size of the shorter person :
30% increase in size 36
(100 + 30)% of 36
130% of 36
(130 / 100) * 36
1.3 * 36
= 46.8 inches
In each equation of the form ax + by = c, state a, b, and c.
y=2
In each equation of the form ax + by = c, state a, b, and c.
5x - y = 1
In each equation of the form ax + by = c, state a, b, and c.
4y + 2x = 3
Answers
2) a=5, b=-1, c=1
3) a=4, b=2, c=3
need help solving a practice question
Answers
look at the step by step explanation.
Step-by-step explanation:
Triangle inequality theorem - the sum of the two shorter sides has to be greater than the longest side, which is 8. This is not possible because the sum of the two shorter sides is 8 which is not greater than the longest side.
Answer:
Complicated answer.
Step-by-step explanation:
So, if one side length is 8 the perimeter of a triangle cannot be 16 this is because a triangle has three sides and 8 multiplied by three would not be 16 so we have two possible conclusions.
1. The perimeter is actually 24
2. The side lengths are actually 4
Hope I helped! Have a silver dollar day! :) Please give me brainliest! Thanks Adios!
i need help finding z and y pls
Answers
Answer: i believe Z=115 and Y=30
Step-by-step explanation: again im sorry if its wrong. but im pretty sure theyre not.
Which value of n makes the equation true?
1/2(n+4)=6
Answers
Answer:
8
Step-by-step explanation:
1/2(12)=6
Answer:
8
Step-by-step explanation:
1/2(8+4)=6
find f(-3) f(x) = 4x+7
Answers
Answer:
-5
Step-by-step explanation:
4(-3) + 7
-12+7
Answer:
f(-3) = -5
Step-by-step explanation:
f(x) = 4x + 7
f(-3) = 4(-3) + 7
f(-3) = -12 + 7
f(-3) = -5
