5 cm or 29 cm
Step-by-step explanation:
Let x length is cut off from each measurements.
Thus, the new measurements would be: 20 - x, 41 - x, 44 - x, which forms the sides of a right triangle.
Here, (44 - x) will be hypotenuse and (20 - x) and (41 - x) will be perpendicular legs of the triangle.
Therefore, by Pythagoras theorem:
[tex] {(41 - x)}^{2} + {(20 - x)}^{2} = {(44 - x)}^{2} \\ \\ \therefore \: {(41)}^{2} - 82x + {x}^{2} + {(20)}^{2} - 40x + {x}^{2} \\ = {(44)}^{2} - 88x + {x}^{2} \\ \\ \therefore \: 1681 - 122x + 2 {x}^{2} + 400 \\ = 1936 - 88x + {x}^{2} \\ \\ \therefore \: 2081 - 122x + {x}^{2} = 1936 - 88x \\ \\ \therefore \: {x}^{2} - 122x + 88x + 2081 - 1936 = 0 \\ \\ \therefore \: {x}^{2} - 34x + 145 = 0 \\ \\ \therefore \: {x}^{2} - 29x - 5x+ 145 = 0 \\ \\ \therefore \: x(x - 29) - 5(x - 29) = 0 \\ (x - 5)(x - 29) = 0 \\ x - 5 = 0 \: or \: x - 29 = 0 \\ \\ \therefore \: x = 5, \: 29[/tex]
So, the length that is cut off will be either 5 cm or 29 cm.
I need help ASAP!!Please help me
Answer:
Below
Step-by-step explanation:
To find the volume of a rectangular prism find the area of a face and multiply it by the height
V = lwh
= (12)(5)(12)
= 720 km^3
Hope this helps!
given: y=8-3x find the slope and y intercept
Answer:
Step-by-step explanation:
y = mx + b
"m" is slope ; "b" is y-intercept.
~~~~~~~
y = - 3x + 8
m = - 3
b = 8
Can anyone help me with this please and thank you
Answer:
x=0, 7
Step-by-step explanation:
x^2-3x=4x
x^2-7x=0
x(x-7)=0
x=0 or 7
Answer:
x=0 x=7
Step-by-step explanation:
x^2 -3x = 4x
Subtract 4x from each side
x^2 -3x-4x=0
x^2 -7x = 0
Factor out an x
x(x-7) =0
Using the zero product property
x=0 x-7 =0
x=0 x=7
CX is an altitude in triangle ABC.
Which statements are true? Select two options. .
Answer:
Does the answer help you?
A. 4
B.-1/4
C. 4
D. 1/4
Who can do 20 assignments in math for me rn needs to b finish in 5 hours?
u need to finish 4 assignments in 1 hour
HELP ASAP
Write the equation of the line passing through the points (-5,8) and (-8,5).
Answer:
y=-5/8x+0
Step-by-step explanation:
Find the area of the circle.
Use 3.14 for it. Do not round your answer.
Hint: A = Tira
14 inches
Area = [?] inches?
Enter the number that
belongs in the green box.
Use the formula given. R is half the diameter
R = 14/2 = 7 inches.
Area = 3.14 x 7^2
Area = 153.86 inches^2
Answer:
Does the answer help you?
2y + x = 7 and y = -x + 5 find the solution of the following system of equations ok
Answer:
(3, 2)
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(3, 2)
Equation Form:
x = 3
y = 2
For the Parabolay = (x + 7)2 – 3. the equation for the Line Of Symmetry is
Answer:
Hello
Step-by-step explanation:
Axis of symmetry is vertical:
x=-7 (since (-7,-3) is the vertex)
Answer:
x = -7
Step-by-step explanation:
y = (x+7)^2 -3
This is in vertex form
y =a(x-h)^2+k where (h,k) is the vertex and the line of symmetry for a vertical parabola is x=h
y = (x- -7)^2 -3
x = -7
Brainliest if you can help me!!
Step-by-step explanation:
I guess option 1 is correct answer
The bar graph shows the median income for families in the United States from 1993 through 2000.
Which two consecutive years saw the largest increase in median income?
A. 1994–1995
B. 1997–1998
C. 1998–1999
D. 1999–2000
Consecutive years that saw the largest increase in median mode is C. 1998-1999.
What is median ?Median is the the middle term when data are arranged in ascending or descending order when we have odd number of terms and median is sum of the mean of the middle term and the next term when we have even number of terms.
According to the figure and statement given a bar graph hows the median income for families in the United States from 1993 through 2000.
We have to determine which two years saw the largest increase in median income.
If we observe the graph carefully and go through options we can conclude that 1998-1999 has the largest increase in median income which is of 1500 dollars.
learn more about median here :
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Simplify the expression to a polynomial in standard form:
(2x - 1)(-x^2+ 4x + 6)
Answer:
[tex](2x - 1)( - {x}^{2} + 4x + 6) \\ = 2x \times - {x}^{2} + 2x \times4x + 2x \times 6 \\ - 1 \times - {x}^{2} - 1 \times 4x - 1 \times 6 \\ = - 2 {x}^{3} + 8 {x}^{2} + 12x + {x}^{2} - 4x - 6 \\ = - 2 {x}^{3} + 9 {x}^{2} - 8x - 6 \\ thank \: you[/tex]
Mr lim had just enough money to buy 6 similar lamps. However, he bought 3 such lamps and had $950 left. How much money did mr lim have at first?
Let the cost of a lamp = x
6 lamps would cost 6x
He bought 3 lamps at 3x plus Thad 950 left.
3 lamps plus the 950
Would be the same amount as 6 lamps:
Set up an equation and solve for x:
3x + 950 = 6x
Subtract 3x from both sides:
950 = 3x
Divide both sides by 3:
X = 316.67
Each lamp was $316.67
Multiply the price of a lamp by 6:
316.67 x 6 = 1900
He had $1900
Answer: $1900
Step-by-step explanation:
Mr Lim had enough money to buy 6 similar lamps. However he only bought 3 such lamps. That means he had only spent half of his money (6-3=3).
So, if he take money remaining with him = x = $950
Amount of money he first had = 2x =$950×2 = $1900
5. Which property was used to simplify the expression?
a) distributive property
b) commutative property
c) associative property
d) inverse property
Answer:
a
Step-by-step explanation:
distributive property
How do I solve part A
Answer:
you have to put them in order
please help me !! :)
Answer:
I believe it is D
Step-by-step explanation:
Find the value of ( 1+cosA) (1-cosA)
Answer:
sin^2 A
Step-by-step explanation:
first expand the trigonometry
1(1-cosA)+cosA(1-cosA)
=1-cosA+cosA-cos^2 A
= 1-cos^2 A
from trigonometric identity sin^2 A + cos^2 A= 1
sin^2 A= 1- cos^2 A
=sin^2 A
45. A crew member on a boat releases a camera 2 feet above the surface of a lake. The
camera falls 6 feet, where it is caught by a diver. How many feet below the surface of
the lake is the diver?
A. 6 feet below
B. 8 feet below
C. 4 feet below
D. 12 feet below
Answer:
C. 4 feet below
Step-by-step explanation:
A crew member on a boat releases a camera 2 feet above the surface of a lake. That is +2 feet
The camera falls 6 feet. -6
+2+(-6)
2-6
-4
Below 4 feet
I have been trying to find the answer for 10 minutes now..Please help!
Plugging in the values, we see that object 1 has more potential energy (the ball to the left)
Pls help me it’s algebra
Answer:
x^2 + 13x + 2
Step-by-step explanation:
The perimeter is all of the sides added up.
11 + 3x + x^2 + 2 -(-6x+5) + 2/5(10x-15)
11 + 3x + x^2 + 2 + 6x -5 + 4x - 6
x^2 + 13x + 2
Basically, we combine like terms and you will get a final answer of:
x^2 + 13x + 2.
This is the simplified expression! I hope this helped.
What is the volume of the cylinder?
5767 cm3
2887 cm3
967 cm3
1921 cm3
If 4x – 5 = 96, what is the value of 4x + 12?
Answer:
113
Step-by-step explanation:
Solving the first equation, 4x - 5 = 96, we get x = 25.25:
4x - 5 = 96
add 5 to both sides
4x = 101
divide both sides by 4
x = 25.25
Then we plug that into 4x + 12.
We already know 4x = 101, so 101 + 12 = 113
The value of the expression will be equal to 113.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Solving the first equation, 4x - 5 = 96, we get x = 25.25:
4x - 5 = 96
Add 5 to both sides.
4x = 101
Divide both sides by 4.
x = 25.25
Then we plug that into 4x + 12.
4x = 101,
Substitute the value of 4x into the expression.
101 + 12 = 113
Therefore, the value of the expression will be equal to 113.
To know more about expression follow
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Please help!!! Find the length of MK
Answer:
HK = 42
HM = 23
MK = ??
23 + MK = 42
MK = 19
^^^ so you're correct :)
Let me know if this helps!
Can you help please answer will give Max points
Answer:
28 4/9
Step-by-step explanation:
5 1/3 times 5 1/3
paul leaves for school at 7:25 am he returned home at 3:15 pm how long was paul away from home?
Answer:
8 hours 10 minutes
I hope this answers your question
Answer: paul has been away from home for 7 hours and 50 minutes.
Step-by-step explanation:
FIND AC! PLS HELP!!
Answer:
AC = 7.3 in
Step-by-step explanation:
tan(51°) = 9/AC
1.24 = 9/AC
AC = 9/1.24
AC = 7.26
There are 10 boys and 6 girls. How many ways are there to choose 8 people to get at most girls
Answer:
2 ways
Step-by-step explanation:
6G and 2B
5G and 3B
help me pleaseeee <333 .
Answer:
3 one
Step-by-step explanation:
Answer:
3 option is correct
Step-by-step explanation:
gd afternoon
have a lovely day
Write an
equivalent expression by distributing the
""
"sign outside the parentheses:
-(-9.1d - 6f +9.1)
Answer:
Submit Answer
Answer:
[tex] - ( - 9d - 6f + 9.1) \\ = 9d + 6f - 9.1 \\ thank \: you[/tex]