Answer:
[tex] \sqrt{81 - 36} \\ = \sqrt{45 } \\ = 3 \sqrt{5 } \\ = 6.71[/tex]
The length of the third side of the triangle will be 6.71 units.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
The length of the third side of the triangle will be
Let x be the length of the third side of the triangle. Then we have
9² = 6² + x²
81 = 36 + x²
x² = 45
x = 6.708
x ≅ 6.71 units
More about the Pythagoras theorem link is given below.
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(-7,14),(-14,3) slope
Answer:
the slope of the line that lies on those two points is 11/7
Step-by-step explanation:
insert the first point into y=mx+b
14=(-7)m+b
----------------
Do it again with the other point
3=(-14)m+b
-------------
Now put both equations in a system of equations
14=(-7)m+b
3=(-14)m+b
solve for m and b
m=11/7 and b=25
y=11/7x+25
m=slope
b=y-intercept
Hope that helps :)
Please give brainliest
What is 8 1/4 divided by 3 1/2?
Answer:
2 5/14
Step-by-step explanation:
.necesito resolver estas operaciones con factorial ayuda por favor
- A= (4ǃ+2ǃ+3ǃ)/(3ǃ+2ǃ)
2. (6ǃ-4ǃ)/2ǃ
2ǃx3ǃx4ǃ/(5ǃ+4ǃ)
R = 10ǃx8ǃ/(6ǃ+5ǃ)
((x+5)ǃ(x+3)ǃ)/((x+4)ǃ+(x+3)ǃ)=6ǃ
Answer:
A. 4
B. 348
C. 2
D. 174182400
E. x = 2
Step-by-step explanation:
Given - A= (4ǃ+2ǃ+3ǃ)/(3ǃ+2ǃ)
B = (6ǃ-4ǃ)/2ǃ
C = 2ǃx3ǃx4ǃ/(5ǃ+4ǃ)
D = 10ǃx8ǃ/(6ǃ+5ǃ)
E - ((x+5)ǃ(x+3)ǃ)/((x+4)ǃ+(x+3)ǃ)=6ǃ
Proof -
A.
(4! + 2! + 3! )/ (3! + 2!) = [4×3×2! + 2! + 3×2!] / [3×2! + 2!]
= 2! [ 4×3 + 1 + 3] / 2! [3 + 1]
= [12 + 1 + 3] / [4]
= [16] / [4] = 4
⇒(4! + 2! + 3! )/ (3! + 2!) = 4
B.
(6ǃ-4ǃ)/2ǃ = [6×5×4! - 4!] / 2!
= 4! [6×5 - 1] / 2!
= 4×3×2! [ 30 - 1] / 2!
= 12 [29] = 348
⇒(6ǃ-4ǃ)/2ǃ = 348
C.
2ǃx3ǃx4ǃ/(5ǃ+4ǃ) = 2!×3!×4! / [ 5×4! + 4!]
= 2!×3!×4! / 4! [ 5 + 1]
= (2×1) × (3×2×1) / 6
= 12 / 6 = 2
⇒2ǃx3ǃx4ǃ/(5ǃ+4ǃ) = 2
D.
10ǃx8ǃ/(6ǃ+5ǃ) = 10!×8! / [ 6×5! + 5!]
= (10×9×8×7×6×5×4×3×2×1) ×(8×7×6×5!) / 5! [6 + 1]
= (10×9×8×7×6×5×4×3×2×1) ×(8×7×6) / [7]
= (10×9×8×7×6×5×4×3×2×1) ×(8×6)
= 174182400
⇒10ǃx8ǃ/(6ǃ+5ǃ) = 174182400
E.
((x+5)ǃ(x+3)ǃ)/((x+4)ǃ+(x+3)ǃ)=6ǃ
[(x+5)(x+4)(x+3)! (x+3)!] / [ (x+4)(x+3)! + (x+3)! ] = 6!
[(x+5)(x+4)(x+3)! (x+3)!] / (x+3)! [ (x+4)+ 1] = 6!
[(x+5)(x+4)(x+3)! / ( [ x+ 5 ] = 6!
(x+4)(x+3)! = 6!
(x+4)! = 6!
x+ 4 = 6
x = 6 - 4
x = 2
Note :
x! = x(x-1)(x-2).......(4)(3)(2)(1)
if someone was on a diet from march to july. his mass in march was 95.2kg and in july 88.7kg. what is the percentage change in mass?
Answer:
6.82%(or -6.82%, it depends)
Step-by-step explanation:
95.2-88.7=6.5
6.5/95.2=6.82%
Piere is an electrician
He uses this formula to work out the amount ,$c , to charge for a job that takes ×hours
C=20+30×
He starts a job at 9 30 and finishes at 1 pm
Work out his charge for this job
Pls show me formula
Answer:
c=$125
Step-by-step explanation:
9:30--12:30 is three hours, then another half hour till 1pm total hours is 3.5
c = 20+30*3.5
c=20 + 105
c = 125
The charge for Piere's work is $125 by using the formula C = 20+30x.
What is a linear equation?A Linear Equation is an equation of a line. An equation in which the highest power of the variable is always 1. An equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.
For the given situation,
Let the amount in dollar,$ be C.
Let the hours be x.
The equation is C = 20+30x.
He starts a job at 9:30 and finishes at 1 pm. So, the time x is 3.5 hours.
⇒ [tex]1pm-9:30 am=3.5 hours[/tex]
Thus charge for the electrician is
⇒ [tex]C=20+30(3.5)[/tex]
⇒ [tex]C=125[/tex]
Hence we can conclude that the charge for Piere's work is $125 by using the formula C = 20+30x.
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help me please help me please
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Grocery wants to build a warehouse that is equidistant from its three stores L, M, and N. Which construction correctly finds the best location of the warehouse?
The construction correctly finds the best location of the warehouse is shown in option C (Construction Y because point E is the circumcentre of triangle LMN and due to its exact equidistant location from the three stores at L, M, and N, Point E is the ideal location for the warehouse.)
What is circumcentre?The location that is equally spaced from the three vertices and where the perpendicular bisectors of a triangle's sides intersect.
Calculation for distance of the three stores from warehouse:
Precisely one circle crosses through all three, which are all on the same line. Finding the centre of the circle that goes through all three of the points is equivalent to finding the point that is equally distant from each of the three points (since all points on a circle are equidistant from the centre).
L, M, and N are our points. To create the triangle, draw the lines LM, LN, and MN. The junction of any two of the lines' perpendicular bisectors, point E, will serve as the circle's centre.
Due to the fact that E is the triangle's LMN's circumcenter, as demonstrated in Construction Y.
Therefore, given that it is precisely equidistant between the three stores at L, M, and N, this is the optimal location for the warehouse.
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Answer:
the answer is C.
Step-by-step explanation:
construction X, because point E is the circumcenter of angle LMN.
The ratio R S R T = 1 2 . Point R is at (2, 5) and point T is at (–4, –7). Which could be the coordinates of S? A. (–1, –1)
Answer:
The coordinates of the point S could be;
A. (-1, -1)
Step-by-step explanation:
The given parameters are;
The ratio of the length of the line RS to the length of the line RT = 1:2
The coordinates of point R = (2. 5)
The coordinates point T = (-4, -7)
Therefore, we have;
[tex]\dfrac{The \ length \ of \, RS}{The \ length \ of \, RT} = \dfrac{1}{2}[/tex]
[tex]\therefore {The \ length \ of \, RS} = \dfrac{1}{2} \times The \ length \ of \, RT[/tex]
The length of the line RT = √(((2 - (-4))² + (5 - (-7))²) = 6·√5
Therefore, we have;
[tex]{The \ length \ of \, RS} = \dfrac{1}{2} \times 6\cdot \sqrt{5} = 3 \cdot \sqrt{5}[/tex]
When the coordinates of the point S = (-1, -1), we have;
The length of the line RS = √(((2 - (-1))² + (5 - (-1))²) = √45 = 3·√5
Therefore, the coordinates of the point S could be (-1, -1)
DUE TODAY HELP
It is not possible to plagiarize in math when the questions are multiple choice since
you don't have to write out your work.
True
False
Please help me ASAP.
Answer:
I believe the answer is D
Step-by-step explanation:
6th grade math easy helpp
Answer: 18 degrees
Step-by-step explanation:
If the temperature dropped 12 degrees (48-36) in 10 hours then the ratio is
10hours:12 degrees
to find hours divide both sides by 2 and multiply by 3 to get
15hours: 18 degrees
The spinner shown at the right is used to play a game. Develop a complete Probability Model for one spin.
Answer:
Step-by-step explanation:
Well I'd need to see it but you can figure it out on your own. If there are 5 equal spots then the chance of one landing is 1/5 or otherwise known as 20% now, it's essentially the same if the spots are even, so figure it out depending on what the number of spots is.
Mr. Jamison wants to borrow $375,000 to
open a Pizza Shack franchise. If he can
pay $28,125 a year in interest, what
interest rate can he afford to pay on his
| loan? (Write your answer as a percent.)
Answer: The interest rate can he afford to pay on his | loan =7.5%
Step-by-step explanation:
Given: Principal amount = 375,000
Interest amount per year = $28,125
Interest percentage = [tex]\dfrac{\text{Interest}}{\text{Principal}}\times100\%[/tex]
[tex]=\dfrac{28125}{375000}\times100\%\\\\=7.5\%[/tex]
Hence, The interest rate can he afford to pay on his | loan =7.5%
Find the value of X......
Answer:
720 = x +133+138+148+95+105
x = 101
What is the data range of the data below 625, 638, 619, 677, 638, 659
Answer:
58
Step-by-step explanation:
The range is the difference between the highest and the lowest numbers in the number set.
The highest number in this set is 677 and the lowest number is 619.
677 - 619 = 58
find lcm of 7 by 24 and 17 by 36
Step-by-step explanation:
LCM for 7 by 24=168
LCM for 17 by 36=612
Drag the vertices of the triangle below to draw a right triangle with side lengths 10, 24, and 26.
16
15
Answer:
15 ? :)
Step-by-step explanation:
leaf plot.
Name
Stem & Leaf Plots DOL
1. The total number of cupcakes sold in a fund-raiser is shown in the stem and
STEM
LEAF
1| 2 3 5 5 5 5
2| 34 479
3| 0 2 5 6 77
Which statement is best supported by the data in the stem and leaf plot?
A. The range of the number of cupcakes sold is 27.
B. The range of the number of cupcakes sold is 19.
6 The most common number of cupcakes sold is 15.
D. The most common number of cupcakes sold is 30.
Answer:
C.
Step-by-step explanation:
there are 4 15's, which is the most thing repeated.
can someone please help solve this probelm
Simplify
(3x^2y^3/z^3)^3
Answer:
27x^6 y^9
z^9
Step-by-step explanation:
That should be the answer,if not...sorry!:)
Let’s say we are using 12 inch diameter balloons filled with helium to lift objects off of the surface.
*Let’s say that 5 balloons can lift 60 grams of weight.
What is the unit rate for weight/balloon? ________
Answer:
its 12
Step-by-step explanation:
i need help with 5 pls!!! I’ll give brainliest:)
The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):
A graph with two linear functions; f of x passes through 5, 0 and 10, 10, and g of x passes through negative 3, 0 and 2, 10.
Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)
Part B: Solve for k in each type of transformation. (4 points)
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)
Answer:
A linear function can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If this line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:
a = (y₂ - y₁)/(x₂ - x₁)
We know that line f(x) passes through points (5, 0) and (10, 10)
Then the slope of f(x) is:
a = (10 - 0)/(10 - 5) = 10/5 = 2
then:
f(x) = 2*x + b
again, knowing that f(10) = 10 (because this line passes through point (10, 10) )
10 = 2*10 + b
10 = 20 + b
10 - 20 = b = -10
Then the equation of this line is:
f(x) = 2*x - 10
Now for g(x) we know that it passes through (-3, 0) and (2, 10)
then the slope is:
a = (10 - 0)/(2 - (-3)) = 10/5 = 2
g(x) = 2*x + b
And knowing that g(2) = 10 (because this line passes through point (2, 10) )
10 = 2*2 + b
10 = 4 + b
10 - 4 = b
6 = b
then:
g(x) = 2*x + 6
Then the equations are:
f(x) = 2*x - 10
g(x) = 2*x + 6
A) One transformation may be a vertical translation, and the other can be a horizontal translation.
This is a vertical translation, which is defined as:
For a function f(x), a vertical translation of k units is written as:
g(x) = f(x) + k
If k is positive, the translation is upwards
if k is negative, the translation is downwards.
And an horizontal translation of k units is written as:
g(x) = f(x - k)
if k is positive, the translation is to the right
if k is negative, the translation is to the left.
B)
For the vertical translation we have:
g(x) = f(x) + k
2*x + 6 = 2*x - 10 + k
6 = -10 + k
6 + 10 = k
16 = k
For the horizontal translation we have:
g(x) = f(x - k)
2*x + 6 = 2*(x - k) - 10
2*x + 6 = 2*x - 2*k - 10
6 = -2*k - 10
6 + 10 = -2*k
16 = -2*k
16/-2 = k
-8 = k
C)
The transformations are:
g(x) = f(x) + 16
or
g(x) = f(x - (-8))
Solve for x'if3 - 2x 35-*.
Answer:
-16..
Step-by-step explanation:
the question is not clear
Janine and her older sister Ingrid's ages are consecutive even numbers. When Janine's age is divided by seven, and Ingrid's age is divided by three, the sum of those numbers is fourteen. How
old are Janine and Ingrid?
Answer:
Janine is 28. Ingrid is 30.
Step-by-step explanation:
Let the ages be x and x + 2 for Janine and her sister, respectively.
x/7 + (x + 2)/3 = 14
Multiply both sides by the LCD, 21, to get rid of denominators.
21 * x/7 + 21 * (x + 2)/2 = 21 * 14
3x + 7(x + 2) = 294
3x + 7x + 14 = 294
10x = 280
x = 28
x + 2 = 30
Answer: Janine is 28. Ingrid is 30.
Answer:
Janine is 28 and Ingrid is 30.
Step-by-step explanation:
Let Janine's age be x years , then Ingrid's age is x+2 years.
From the given information we have the equation:
x/7 + (x + 2)/3 = 14
Multiplying through by the LCM of 3 and 7 (21), we have:
3x + 7(x + 2) = 294
10x + 14 = 294
10x = 294-14 = 280
x = 28, so:
Janine is 28 and Ingrid is 30.
Sophie buys a wheelbarrow priced at $72. If the sales tax is 5%, what will be the total cost
including tax?
Answer:
$75.6
Step-by-step explanation:
5%of 72 = 3.6
72+3.6 = 75.6
Please help and right the real answer
Answer:
(-6,-3) would be the answer
May someone help me with this :)
Answer:
Step-by-step explanation:
9x5=45
45=area
9+9+5+5=28
28=Per
#2
π x 8^2
=16
A=16π
2 x π x 8
P=16π
#3
hxb/2
=10x24/2
=120
A=120
P=60
image down below plz help
Answer:
44?
Step-by-step explanation:
I realy just have a feeling