Answer: 1/3
Step-by-step explanation: Using Radical Properties, Whenever we have two or more radical terms which are multiplied with same index, then we can put only one radical and multiply the terms inside the radical.
[tex]\sqrt{ \frac{5}{x^2} }\times \sqrt{ \frac{x^2}{45} }=\sqrt{ \frac{5x^2}{45x^2} }=\sqrt{ \frac{1}{9} }=\frac{1}{3}[/tex]
The expression √(5/x²).√(x²/45) is equivalent to 1/3.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is √(5/x²).√(x²/45)
Square root of five by x square times square root of x square by forty five
√(5/x²).√(x²/45)
√(5x²/45x²)
Cancel out the x² in the numerator and denominator
√(5/45)
Divide numerator and denominator by 5
√(1/9)
1/3
Hence, the expression √(5/x²).√(x²/45) is equivalent to 1/3.
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One equation of a pair of dependent linear equations is -5x+7y=2.Write the second equation.
Answer:
Step-by-step explanation:
Any multiple of the given equation is also a dependent linear equation
From the equation
-5x+7y=2
Multiplying all through by any number, say 2
2(-5x)+2(7y)=2(2)
-10x+14y=4 is a dependent linear equation for -5x+7y=2
If you don't fancy using a multiple, you can write the gradient equation y=mx+c
-5x+7y=2
7y=5x+2
Dividing all through by 7 gives the equation as
y=5x/7 + 2/7
What is the area of this composite figure?
10 cm
10 cm
10 cm
16 cm
6 cm
10 cm
1
10 cm
10 cm
96 cm2
160 cm?
208 cm?
256cm2
Answer:
[tex]256cm^2[/tex]
Step-by-step explanation:
Calculate the area of the two triangles first: 6 * 16 = 96
Then the rectangle: 10 * 16 = 160
160 + 96 = 256
What is the solution to the equation 3(2×+5)=3×+4×?
Answer: i think it is 11x+7x
Step-by-step explanation:
Dad buys 1/2 pound of fudge at the sweet shop. He shares it with mom, Elizabeth, and Zachary. How much Fudge will each person get?
Answer:
Each person gets 1/8 pound
Step-by-step explanation:
Dad bought = 1/2 Pound of cake
He divided them into 4 people
So,
=> [tex]\frac{1}{2} / 4[/tex]
=> [tex]\frac{1}{2} * \frac{1}{4}[/tex]
=> [tex]\frac{1}{8}[/tex] Pound for each person
=> Each person gets 1/8 pound
Factor completely.
3x^2 −147=
Answer:
[tex]3(x - 7)(x+7)[/tex]
Step-by-step explanation:
To factor this, you must first take out the GCF (Greatest Common Factor), that [tex]3x^2[/tex] and -147 both have. The terms only have 3 in common, which can be divided with
[tex]3x^2 - 147\\3(x^2 - 49)[/tex]
However, we're still not done since 49 is a perfect square and [tex](x^2 - 49)[/tex] can be split into 2, like so:
[tex]3(x - 7)(x+7)[/tex]
If you're unsure about the final answer, you can multiply it all together to see if you got the original expression.
What is the slope-intercept equation for the line below?
Answer:
y = 2/5x+2
Step-by-step explanation:
First find the slope
m = (y2-y1)/(x2-x1)
= (4-2)/(5-0)
=2/5
The y intercept is 2
The slope intercept form is y = mx+b
where m is the slope and b is the y intercept
y = 2/5x+2
Answer:
y = mx + c
1) find the gradient, m
[tex]m = \frac{4 - 2}{5 - 0} [/tex]
[tex]m = \frac{2}{5} [/tex]
2) find value of y-intercept, c
from the graph, c = 2
2) use the formula y=mx+c
y = mx + c
y = 2/5x + 2
the answer is A
identify a pair of perpendicular lines in the given figure. HELPPP I NEED TO PASS!
Answer:
Line S and Line Q
Step-by-step explanation: Line S and Q would form a pair of perpendicular lines because perpendicular lines form a 90 degree angle.
A pair of perpendicular lines in the given figure are line q and line s.
What is a perpendicular line?Those lines that are perpendicular to each other that means create an angle of 90° at intersecting point are perpendicular lines.
Given:
There are 4 lines in the diagram.
To find the pair of perpendicular lines:
Those lines that are perpendicular to each other that means create an angle of 90° at intersecting point are perpendicular lines.
And line q is perpendicular to line s.
Therefore, line q is perpendicular to line s.
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Please help me with my math question!!
Answer:
Step-by-step explanation:
2m
______
2
______ X 0m X 0
1
= 0
8.
Hope spent a total of $131 on seven throw pillows. Fancy throw pillows
cost $28 and plain throw pillows cost $15.
Use substitution to solve the linear system of equations and
determine how many fancy pillows, x, and plain pillows, y she bought.
Write the solution to the system as an ordered pair (x,y).
Answer:
(2, 5)
Step-by-step explanation:
Let the number of fancy throw pillows be x.
Let the number of plain throw pillows be y.
Hope spent a total of $131 on 7 throw pillows.
Fancy throw pillows cost $28 and plain throw pillows cost $15.
These imply two things:
x + y = 7 _______ (1)
28x + 15y = 131 ___(2)
We have a linear system of equations.
From (1):
x = 7 - y
Substitute the value of f into (2):
28(7 - y) + 15y = 131
196 - 28y + 15y = 131
196 - 13y = 131
=> 13y = 196 - 131
13y = 65
y = 65 / 13
y = 5
This means that:
x = 7 - 5 = 2
Hope bought 2 fancy throw pillows and 5 plain throw pillows
The side of one square is equal to 3m and its diagonal is equal to the side of a second square. Find the diagonal of the second square.
Answer:
6m
Step-by-step explanation:
the side of first square = 3 m
area of first square = 3^2= 9 m^2
let the side of second square = x m
since diagonal of first square = x m as per the question
in a square each angle is 90 degree
therefore by applying pythagorus theorem ,
diagonal ^2 = side^2 + side ^2
diagonal^2 = 3^2+3^2=9+9
DIAGONAL= square root of 18
diagonal= 3[tex]\sqrt{2}[/tex] m = side of second square
therefore in second square ,
one angle is 90 degree , therefore by applying pythagorue theorem
diaqonal^2 = side ^2 + side ^2 = (3[tex]\sqrt{2}[/tex])^2 + ( 3[tex]\sqrt{2}[/tex])^2
diagonal ^2 = 18 + 18
diagonal = square root of 36
therefore diagonal of second square is 6m
hope it helps you... please mark me as the brainliest..
Answer:
6m explained it all hope it helps
Which statement is true?
A. All squares are similar to each other.
B. All rectangles are similar to each other.
C. All squares are similar to each other, and all rectangles are similar to each other.
D. None of these statements are true.
Answer:
C
Step-by-step explanation:
this is quite confusing
(4)(2) = (2)(4) what property is this out of commutative property , associative property, distributive property
Answer:
Commutative property
Step-by-step explanation:
This is an example of the commutative property as its states that it is applicable in multiplication and addition where 2 numbers can switch places and give the same result in both situations.
(4)(2) = 8
(2)(4) = 8
A farmer buys a tractor for $10,000. If the tractor depreciates 10% per year, write an exponential decay function to fin the value of the tractor in 7 years.
Answer:
F = P(1 - x)^n
F = 10,000(1 - 0.1)^7
F = 10,000(0.9)^7
F = $4,783
The value of the tractor in 7 years is $4,783
Step-by-step explanation:
Applying the exponential depreciation equation;
F = P(1 - x)^n
Where;
F = final value after n years
P = initial value
x = depreciation rate (fraction)
n = time
Given;
P = $10,000
x = 10% = 0.10
n = 7 years
Substituting the given values;
F = 10,000(1 - 0.1)^7
F = 10,000(0.9)^7
F = 4782.969
F = $4,783
The value of the tractor in 7 years is $4,783
Is 20, 101, and 99 a Pythagorean triple
Answer:
yes
Step-by-step explanation:
Using the Pythagorean Theorem, we should get 20² + 99² = 101² and we need to check if this is a true statement.
400 + 9801 = 10201
10201 = 10201 so yes, it is.
given that cosθ 1/3 and θ is acute, what is tanθ?
Answer:
tanθ=2√2
Step-by-step explanation:
cosθ= 1/3, and θ is acute;
cos²θ=1/9
sin²θ+cos²θ=1
sin²θ=1-cos²θ=1-1/9=8/9
=> sinθ=√(8/9)=2√2 /3
tanθ=sinθ/cosθ
tanθ=(2√2 /3)/(1/3)=2√2
tanθ=2√2
What is the value of x
Answer:
84
Step-by-step explanation:
since the triangle has parallel lines running through the angles equal the same for the triangle so finding x was just 180 - y+z =x
A caterer charges a fixed cost for preparing a dinner plus an additional cost for each person served. You know that the cost for 100 students will be $1100 and the cost for 150 students will be $1550. Find the caterer’s fixed cost and the cost per student served. Use a system of equations and solve using elimination or substitution.
Answer:
$10 to $11
Step-by-step explanation:
$1100÷100=$11
$1550÷150=$10.3333333333
The equation a = a equals StartFraction 180 left-parenthesis n minus 2 right-parenthesis Over n EndFraction. represents the angle measures, a, in a regular n-sided polygon. When the equation is solved for n, n is equal to a fraction with a denominator of a – 180. What is the numerator of the fraction?
Answer:
The numerator of the fraction is -360
Step-by-step explanation:
a=180(n-2)/n
Solve for n
a=180(n-2)/n
Open parenthesis
a=180n-360/n
Cross product
an=180n-360
Collect like terms
an-180n=-360
Factorise
n(a-180)=-360
Make n the subject of the formula
n=-360/(a-180)
The numerator of the fraction is -360
The denominator is (a-180)
Answer:
-360
Step-by-step explanation:
Dos hermanos juntaron su dinero para comprar un regalo a su papa entre los dos reunieron 864 que cantidad aporto cada uno si paco dio 5 pesos por cada 7 que dio juan
Answer:
Paco contributed = 360pesos
Juan contributed = 504pesos
Question:
Two brothers gathered their money to buy a gift for their dad. Between them they gathered 864, which amount each contributed if Paco gave 5 pesos for every 7 that Juan gave.
Step-by-step explanation:
Let the common factor between each brother = p
Paco gave = 5×common factor = 5p
Juan gave = 7×common factor = 7p
Total money contributed by both brothers = 864
Total money contributed by both brothers = 5p + 7p
5p + 7p = 864
12p = 864
p = 864/12
p = 72
Paco contributed = 5p = 5×72 = 360pesos
Juan contributed = 7p = 7×72 = 504pesos
1/8(5y+64)=1/4(20+2y)
Answer:
-24
Step-by-step explanation:
1/8(5y+64)=1/4(20+2y)
Multiplying both sides of the equation...
1/8(5y)+1/8(64)=1/4(20)+1/4(2y)
1/8(5y)+(64/8)=(20/4)+(2y/4)
1/8(5y)+8=5+y/2
1/8(5y)+8=5+1/2(y)
Now multiplying through by the least common multiple, which is 8
8×1/8(5y)+8×8=8×5+8×1/2(y)
1×1(5y)+64=40+4×1(y)
Simplifying both sides...
5y+64=40+4(y)
5y+64=40+4y
By grouping like terms...
5y-4y=40-64
1(y)= -24
y= -24
hope this was helpful
what is 12 times 1-10
The answer is 2.
Please see the attached picture
Hope it helps
Good luck on your assignment
what is the inverse of the statement “if i like art class, then i like painting” ?
Answer:
If I do not like art class, then I do not like painting.
Step-by-step explanation:
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Step-by-step explanation:
I need help with this math problem.
Answer:
x = 2 , y = 4
Step-by-step explanation:
If a quadrilateral has diagonals which bisect each other, then it is a parallelogram.
From the parallelogram we see:
2x = y
y = 2x
Substitute y = 2x in 2(y) - 2 = 6, gives:
2(2x) - 2 = 6
4x = 6 +2
x =2
Substitute x = 2 in y = 2x, gives:
y = 2(2)
y = 4
So x = 2 , y = 4
Select the correct answer.
which function's domain consists of all real numbers except -2?
Answer:
A
Step-by-step explanation:
For functions with x in the denominator we want to make sure the denominator isn't 0. If x can't be -2 then the answer is A because x = -2 results in f(x) = 1/0 which is undefined.
The digits of both the two-digit numbers in the first calculation below have been reversed to give the two-digit numbers in the second calculation. The answers to the two calculations are the same. 62 × 13 = 806 62 × 13 = 806 26 × 31 = 806 26 × 31 = 806 For which one of the calculations below is the same thing true?
Answer and Step-by-step explanation:
The computation is shown below:
As we assume a and b are together and c and d are together
So, the equation would be
[tex]= ab \times cd[/tex]
[tex]= (10a + b) \times (10c + d)[/tex]
= 100ac + 10(ad + bc) + bd
Now another equation i s
[tex]= ba \times cd[/tex]
[tex]= (10b + a) \times (10d + c)[/tex]
= 100bd + 10(ad + bc) + ac
Now take both equations together
So,
100ac + 10(ad + bc) + bd = 100bd + 10(ad + bc) + ac
99ac = 99bd
ac = bd
Now Like here a = 2 b = 10 and c = 5 d = 1
So,
ac = bd = 10
So we can take an example like this
So, by considering the
[tex]62 \times 13 = 806[/tex]
And,
[tex]26 \times 31 = 806[/tex]
We can the same amount
So in the given question, the choices are not there so we can calculate by the above method
a number x decreased by 3 is 5.
Answer:
8
Step-by-step explanation:
X=8 bc 8-3=5
If an^2 =b then in terms of a and b , n=?
Answer:
√b/a
Step-by-step explanation:
an^2 =bn^2=b/an=√b/aAnswer:
n = ± [tex]\sqrt{\frac{b}{a} }[/tex]
Step-by-step explanation:
Given
an² = b ( divide both sides by a )
n² = [tex]\frac{b}{a}[/tex] ( take the square root of both sides )
n = ± [tex]\sqrt{\frac{b}{a} }[/tex]
Item 36 Solve for x. x ÷ 9 = 8 x = 72 x = 17 x = 1.11 x = 1
Answer:
x=72
Step-by-step explanation:
[tex]x\div 9=8[/tex]
Multiply both sides by 9 to isolate x:
[tex]x=8\cdot 9=72[/tex]
Hope this helps!
Erik decides to save money to buy a new computer. He starts with $100. He then adds a
constant amount each week.
● After 2 weeks, he has $140
● After 4 weeks, he has $180
Write an equation to represent the linear relationship between his total savings, S, in dollars, and the
number of weeks since he started saving, n. (Hint: use the equation Y 2 − Y 1 )
Answer:
You Can Open up this link to find your answer!!
Step-by-step explanation:
someone please help, this is my last question!
Answer:
9.5
Step-by-step explanation: