Answer:
[tex]\boxed {\tt 11.6 \ feet}[/tex]
Step-by-step explanation:
The area of a square can be found using the following formula.
[tex]A=s^2[/tex]
We know the area of the patio is 135 square feet. Substitute 135 ft² in for A.
[tex]135 \ ft^2=s^2[/tex]
We want to find the side length. We must isolate the variable, [tex]s[/tex]. on one side of the equation.
s is being squared. The inverse of a square is a square root. Take the square root of both sides of the equation.
[tex]\sqrt{135 \ ft^2} =\sqrt{s^2}[/tex]
[tex]\sqrt{135 \ ft^2} =s[/tex]
[tex]11.61895 \ ft =s[/tex]
Round to the nearest tenth. The 1 in the hundredth place tells us to leave the 6 in the tenth place.
[tex]11.6 \ ft \approx s[/tex]
Each side of the patio is about 11.6 feet.
(8.91 times 10 Superscript 2 Baseline) (3.3 times 10 Superscript 12 Baseline)
Answer:
2.9403×10^15
Step-by-step explanation:
Your calculator can work this out for you.
[tex](8.91\times10^2)(3.3\times10^{12})=(0.891\times10^3)(3.3\times10^{12})\\\\=(0.891\times3.3)(10^{3+12})=\boxed{2.9403\times10^{15}}[/tex]
__
The applicable rule of exponents is ...
(10^a)(10^b) = 10^(a+b)
__
Additional comments
You can keep a product the same if you divide one factor by 10 and multiply the other factor by 10:
8.91×10² = (8.91/10)(10×10²) = 0.891×10³
I like to "pre-scale" the numbers in a problem like this so that the product comes out in scientific notation with no adjustment needed. That is, the product of the two mantissas is a number between 1 and 10.
Here, you can tell the product of 8.91 and 3.3 will be more than 24, so scaling will be necessary. It is convenient to scale the larger mantissa to be less than 1 so the product comes out less than 10. That is why we made it 0.891×10³.
Answer:
2.9403×10^15
Step-by-step explanation:
i took the unit test
Find the perimeter of the polygon with the given vertices Round your answer to the nearest hundredth
Answer:
16.93 units
Step-by-step explanation:
Length of a segment having extreme ends [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the formula,
d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
ML = [tex]\sqrt{(4-1)^2+(0-4)^2}[/tex]
= 5 units
LP = [tex]\sqrt{(1+1)^2+(4+2)^2}[/tex]
= [tex]\sqrt{40}[/tex] ≈ 6.32 units
PN = [tex]\sqrt{(-1-2)^2+(-2-0)^2}[/tex]
= [tex]\sqrt{13}[/tex]
≈ 3.61 units
NM = [tex]\sqrt{(4-2)^2+(0)^2}[/tex]
= 2 units
Perimeter of the polygon MLPN = ML + LP + PN + NM
= 5 + 6.32 + 3.61 + 2
= 16.93 units
The robotics team needs to purchase $350 of new equipment. Each of the students on the team plans to fundraise and contribute equally to the purchase. Which expression represents the amount that each student needs to fundraise? Which expression represents the amount that each student needs to fundraise? Explain your thinking.
Answer:
s = students, m = money they pay
S(M)=350
The expression that represents the amount that each student needs to fundraise is - y = [tex]$\frac{350}{x}[/tex]
We have robotics team who needs to purchase $350 of new equipment.
We have to determine the expression which represents the amount that each student needs to fundraise.
In a class of 50 students, it was asked to collect a total of $3000 for NGO funding. Find the amount contributed by each student assuming they all pay the equal amount.Assume the amount paid by each student be x. Then -
50x = 3000
x = $60
According to the question, we have -
Assume that the number of students in the robotics team are x.
Assume that the money contributed by each member is $y.
Then, the expression represents the amount that each student needs to fundraise is -
xy = 350
y = [tex]$\frac{350}{x}[/tex]
To solve more questions on Equation Modelling, visit the link below -
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[tex](\sqrt{2}-3i)(\sqrt{2}-5i)[/tex] plz simplify
Answer:
-5i
Step-by-step explanation:
13) the
are
points A (9,0) B (9,6) c(-9,6),
D(-9,0) a vertices of
A)square B) rectangle C) rhombus
D)trapezium.
A
۔
13) The points A (9,0), B (9,6), C(-9,6), D(-9,0) are the vertices of
A) square ✓✓✓
B) rectangle
C) rhombus
D) trapezium.
۔
The value of the expression is
_____?
Answer:
the answer is 86!
hope this helped
Answer:
the answer to your question is 86
From “Making Energy Drinks”, what is the ratio of drink mix to water?
Please help I don’t want some bad grade, please lol.
Answer:
It should be 3 to 8
Step-by-step explanation:
Answer:
3:8
Step-by-step explanation:
because there are 3 cups of drink mix and 8 cups of water
slope of points (2,3) and (-4,12)
Answer:
[tex]\huge\boxed{slope=-\dfrac{3}{2}}[/tex]
Step-by-step explanation:
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (2, 3) and (-4, 12).
Substitute:
[tex]m=\dfrac{12-3}{-4-2}=\dfrac{9}{-6}=-\dfrac{9:3}{6:3}=-\dfrac{3}{2}[/tex]
6x+2y=12 ( solve for y )
How do I show my work on a piece of paper would help a lot :)
Answer:
y=6-3x
Step-by-step explanation:
factor out common terms 2(3x+y)=12divide both sides by 2
3x+y=[tex]\frac{12}{2}[/tex] simplify 3x+y=6 subtract 3 from both sides
y=6-3x
Add and write the result in the form a+bi. a. (4 + 2i) + (-6 - 7i)
Answer:
- 2 - 5i
Step-by-step explanation:
Given
(4 + 2i) + (- 6 - 7i) ← remove the parenthesis
= 4 + 2i - 6 - 7i ← collect like terms
= - 2 - 5i
What does 8-2(y+4)=1/2(8y-12) equal?
y = 1
8-2y - 8 = 4y - 6
-2y = 4y - 6
-6y = -6
y = 1
Answer:
Step-by-step explanation:
8 - 2y - 8 = 4y - 6
-2y = 4y - 6
6y = -6
y = -1
How much sales tax will be charged at Store B?
Answer: $94.50 is how much sales tax will be charged at store B asumming you are talking about the image attached to this answer, if not could you attach an image?
what is the value of cos 120 degree
Step-by-step explanation:
√3 I think check the answer for sure
Answer:
-0.5
Step-by-step explanation:
edge
What is the value of 7,549,236
Answer:
yo mama
Step-by-step explanation:
Which is the correct classification of StartRoot 32 EndRoot? irrational number, nonrepeating decimal irrational number, terminating decimal rational number, nonrepeating decimal rational number, terminating decimal
Answer:
its A i got you
Step-by-step explanation:
The correct classification of [tex]\sqrt{32}[/tex] is it is an irrational number.
What is a perfect square number?A perfect square number when taken the square root of it results in an integer.
Numbers that are not perfect squares when taken the square root of it are irrational numbers.
One method of obtaining square roots for perfect squares is prime factorization.
We know if a number is not a perfect square it is an irrational number.
[tex]\sqrt{32}[/tex] can be written as [tex]\sqrt{2\times2\times2\times2\times2[/tex] which is [tex]2^2\sqrt{2}[/tex].
= [tex]4\sqrt{2}[/tex] and [tex]\sqrt{2}[/tex] is not a perfect square so it is an irrational number.
learn more about irrational numbers here :
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01:38:56
What is the scale factor of a triangle with a vertex of A(-6, 4) that has been dilated with a center of dilation at the origin so
the vertex of its image is A'(-24, 16)?
Answer:
Answer: The scale factor of the triangle is 4
Step-by-step explanation:
Solve -9(t - 2) = 4(1-15).
Answer:
t = 74 / 9
Step-by-step explanation:
-9(t - 2) = 4(1 - 15)
-9t + 18 = 4 - 60
-9t + 18 = -56
-18 -18
-9t = -74
/-9 /-9
t = 74 / 9
t = 8.22
Answer:
t = 74 / 9 ~= 8.222
Step-by-step explanation:
-9 ( t - 2 ) = 4 ( 1 - 15 )
-9 * t + -9 * -2 = 4 * 1 + 4 * -15
-9t + 18 = 4 + -60
-9t + 18 = -56
-9t = -56 + -18
-9t = -74
t = 74 / 9
Alternatively:
-9 ( t - 2 ) = 4 ( 1 - 15 )
-9 * t + -9 * -2 = 4 ( - 14 )
-9t + 18 = -56
-9t = -56 + -18
-9t = -74
t = 74 /9
Cheers.
KN bisects ZJKM. If mZNKJ = 7x-9 and
m2JKM = x + 3, find m2JKN.
Answer:
Step-by-step explanation:
7x - 9 = x + 3
6x - 9 = 3
6x = 12
x = 2
7(2) - 9 + 2 + 3
14 - 9 + 5
5 + 5 = 10
- 11r+3= - 41
Please
Answer:
R=4
Step-by-step explanation:
Solve and graph the absolute value inequality: 2x + 4 > 8. (1 point)
-9-8-7-6
-4
-1
1
2
3
2
5
7
B 9
-9-8-7-6-5
- 2 - 1
O
1
2
5
7
8
9
-9-9-7-6-5-4-3-2-1
1
3
9
1
3
Answer:
x>2
Step-by-step explanation:
2x+4>8
subtract -4 both sides
2x+4(-4) > 8(-4)
2x >4
divide 2 both sides
2x/2 > 4/2
x > 2
−4−3−2−1 0 1 O --3---4--5--6--7--8--9->
Which number is irrational?
16.5%
0.0675
8 3/4
3.14
Answer:
3.14
Step-by-step explanation:
it will go on foreever
Find the midpoint of A(5,8) and B(-9,-6)
n/r = b/a solve for a
n/r = b/a
n*a = b*r
a = b*r/n... Hope this will help...
Which rules of exponents will be used to evaluate this expression? Check all that apply. StartFraction left-brace (negative 8) Superscript 4 Baseline right-brace Superscript negative 5 Baseline Over (negative 8) Superscript 6 Baseline EndFraction
Answer:
I thin its B
Step-by-step explanation:
I took the quiz. I hope this helps! sorry if it wrong :)
what is the slope intercept form of the equation 15x-4y=32
Answer: y = 15/4 x - 8
Step-by-step explanation:
True or false: Most proofs in geometry are called direct proofs because theorems and postulates are used to prove a statement using a direct approach
Answer:
The statement is true
Step-by-step explanation:
Most proofs are direct proofs becaue theorums & postulates prove them true straightforwardly :)
3y - 9/ < 27?
it’s algebra 2
Answer:
3y-9∫∠27
3y∫∠27-9
3y∫19-1
3y∫19-1
=6
Answer ASAP Which is a y-intercept of the continuous function in the table? (5, 0) (0, 1) (0, 5) (1, 0)
Answer:
(0, 5 )
Step-by-step explanation:
The y- intercept is where the function crosses the y- axis.
This occurs when x = 0 , thus
From the table when x = 0 , f(x) = 5 , thus
y- intercept is (0, 5 )
y- intercept is (0, 5 )
find the midpoint of H(6,7) I(-7,-6)
Step-by-step explanation:
um that's hard djrjrjrjjre
Answer:
(- [tex]\frac{1}{2}[/tex], [tex]\frac{1}{2}[/tex] )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] ]
Here (x₁, y₁ ) = (6, 7) and (x₂, y₂ ) = (- 7, - 6) , thus
midpoint = ([tex]\frac{6-7}{2}[/tex] , [tex]\frac{7-6}{2}[/tex] ) = ( - [tex]\frac{1}{2}[/tex] , [tex]\frac{1}{2}[/tex] )
Can someone help me??