The sum of the equation is [tex]9\sqrt{2}[/tex] and it can be determined by using addition and it can be determined by summation rule in the equation.
Given that,Equation; [tex]\sqrt{8} +3\sqrt{2} +\sqrt{32}[/tex]
We have to determineThe sum of the equation.
According to the question,To determine the sum of the equation following all the steps given below.
Equation; [tex]\sqrt{8} +3\sqrt{2} +\sqrt{32}[/tex]The sum of the equation is determined by factorizing the equation,
Then,
The sum of the equation is,
[tex]=\sqrt{8} +3\sqrt{2} +\sqrt{32}\\\\= \sqrt{2\times 2\times2 }+ 3\sqrt{2} +\sqrt{2\times 2\times2 \times 2\times2 }\\\\= 2\sqrt{2} + 3\sqrt{2} + 2\times 2\sqrt{2} \\\\= 2\sqrt{2} + 3\sqrt{2} + 4\sqrt{2} \\\\= 9 \sqrt{2}[/tex]
Hence, The required sum of the equation is [tex]9\sqrt{2}[/tex].
For more details about Addition refer to the link given below.
https://brainly.com/question/25996972
You know the following information about triangle ABC and triangle DEF:
AB-DE and
What additional information is needed to prove that the triangles are congruent by SAS?
AB=DE
AC=DF
BC=EF
Answer:
(b) AC = DF
Step-by-step explanation:
In order to use SAS, you need to show congruence of the sides on either side of the angle. One of those sides is given as congruent: AB = DE. (This given rules out choice A, which is identical.)
The remaining needed side will have points A and D as one of the points defining the side. This rules out choice D.
The relation between other angles is irrelevant to SAS, so choice C is ruled out.
Choice B: AC = DF will supply the information necessary to show congruence by SAS.
During an 8 hour work-day, Bob spends 2
hours on the phone. What fraction of the day
does he spend on the phone?
A. 1/5
B. 1/3
C. 1/4
D. 1/8
The question states that Bob spends 2 hours a day on the phone [which basically answers the how much time does he spend]. Next, find the total amount of hours in his day, which is 8 [stated in the question].
Write a fraction from the given information;
2/8, then simplify, by diving both the numerator and denominator by 2.
Therefore,
C) 1/4
Find the area of the given figure :
Answer:
formula for area is length × height
so we have 13+8 ×16+4
21×20 = 420m
Which frequency table is consistent with the histogram of weights of 86 different students, below?
Answer:
B
Step-by-step explanation:
The incorrect tables each have at least one flaw that makes it not match the histogram.
A. The relative frequency associated with 4 of 86 is about 0.047, not 0.055. The relative frequencies are incorrect.
B. this table matches the histogram
C. The "bins" are not of uniform width, nor are they centered on the same values as shown in the histogram.
D. The values in a cumulative frequency table should be non-decreasing. The table value of 24 should be 54.
1.
In a proportional relationship between the variables x and y, which of the following
expressions would be constant?
(1) x + y
(3) xy
(2) y-x
(4)Y/x
Yes
Answer:
y/x
Step-by-step explanation:
If x is proportional to y, then:
y = kx, where k is a constant
This can be rearranged to give:
k = y/x
As mentioned, k is a constant, therefore, the answer is y/x
The diagram shows a map of three land masses, numbered region 1, region 2, and region 3, connected via bridges over water. Each bridge can be traversed in either direction. (diagram is attached)
Show that there are 10 walking routes that start and end in region 2, crossing over water exactly twice. Assume each bridge, when crossed, is fully traversed to the next land mass.
Answer:
Explanation
Step-by-step explanation:
If you look closely, every route connected to region 2 could go to either region 1 or 3, which each could go back to region 2 in 3 different formats. For example the top bridge of region 2, could go through region 1, then region 3 then to the middle bridge of region 2. This can happen for all three of the other route when going backs and works for all bridges in region 2.
pls help (written response pls)
Answer:
It would be Number of Hours
Step-by-step explanation:
The word Dependent Variable means a number/something that relies on something else so the word "Number" Relies and something to follow it up and in this sentence it's "number of hours"
Hope this Helps :)
if f(x) = 2x-1 what is f(4)
The diameter of a circle is 8 mm. What is the circumference of the circle?
Answer:
C=22÷7×8
=3.14×8
=25.12
Which rule describes the composition of
transformations that maps AABC to AA"B"C"?
R0, 9000rx-axis(x, y)
Orx-axis Ro, 900(x, y)
RO, 1800 orx - axis(x, y)
Orx-axis Ro, 1800(x, y)
Answer:
The second one: r x-axis. R 90(x,y)
Step-by-step explanation:
You can see that from ABC to A'B'C', it's rotated a positive 90 degrees. then, from A'B'C' to A"B"C", reflected across x-axis. and when writing the transformation, it goes by last to first. that's why the R 90 comes first.
The rule which describes the composition of transformations that maps ΔABC to ΔA"B"C" is,
⇒ r _ x-axis. R _ 90(x, y)
What is Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Given that;
To find the rule which describes the composition of transformations that maps ΔABC to ΔA"B"C".
Now, You can see that from ABC to A'B'C',
it's rotated a positive 90 degrees.
And, Then, from A'B'C' to A"B"C", reflected across x-axis.
Now, when writing the transformation, it goes by last to first. that's why the R 90 comes first.
Thus, The rule which describes the composition of transformations that maps ΔABC to ΔA"B"C" is,
⇒ r _ x-axis. R _ 90(x, y)
Learn more about the transformation visit:
https://brainly.com/question/30097107
#SPJ5
if each quadrilateral below is a square,find the missing measures
Answer:
∆EFG = 90°
∆GDH = 45°
∆FEG = 45°
∆DHG = 90°
The measure of the given angles are -
m ∠EFG = 90°
m ∠EFG = 45°
m ∠FEG = 45°
m ∠DHG = 45°
What is square?A square is a quadrilateral with all sides congruent to one another.
Given is to find the measure of angles given in the question.
We can write the measure of angles as -
m ∠EFG = 90°
m ∠EFG = 45°
m ∠FEG = 45°
m ∠DHG = 45°
Therefore, the measure of the given angles are -
m ∠EFG = 90°
m ∠EFG = 45°
m ∠FEG = 45°
m ∠DHG = 45°
To solve more questions on angle measurements, visit the link-
brainly.com/question/29014197
#SPJ2
Line g is dilated by a scale factor of 1/2 from the origin to create line g'. Where are points E' and F' located after dilation, and how are lines g and g' related?
(See attatchment)
ANSWER OPTIONS:
A- The locations of E' and F' are E' (−8, 0) and F' (0, 4), and lines g and g' intersect at point F.
B- The locations of E' and F' are E' (−4, 0) and F' (0, 2), and lines g and g' are the same line.
C- The locations of E' and F' are E' (−2, 0) and F' (0, 1), and lines g and g' are parallel.
D- The locations of E' and F' are E' (−1, 0) and F' (0, 0), and lines g and g' are not related.
Answer:
The locations of E' and F' are E'(-2,0) and F'(0,1), and lines g and g' are parallel.
Step-by-step explanation:
I got it right on my test! :)
The locations of E' and F' are E' (−2, 0) and F' (0, 1), and lines g and g' are a parallel option (C) is correct.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
As we know,
The dilation is transformation dilation is used to resize an item. Dilation is a technique for making items appear larger or smaller. The image created by this transformation is identical to the original shape.
From the graph:
The coordinate for E and F are:
E = (-4, 0)
F = (0, 2)
The scale factor = 1/2
E' = (-4/2, 0) = (-2, 0)
F' = (0, 2/2) = (0, 1)
Thus, the locations of E' and F' are E' (−2, 0) and F' (0, 1), and lines g and g' are a parallel option (C) correct.
Learn more about the straight line here:
brainly.com/question/3493733
#SPJ2
Please factor out the following problem:
3x^2y^2-xy^2-4y^2
Answer:
Look at image
Step-by-step explanation:
evaluate the expression.
Answer:
The value of [tex](-25)^{\frac{1}{2} }=5i[/tex]
Step-by-step explanation:
We need to find [tex](-25)^{\frac{1}{2} }[/tex]
We have
[tex](-25)^{\frac{1}{2} }=\sqrt{-25} \\\\=\sqrt{25} \times\sqrt{-1} \\\\=5 i[/tex]
PLEASE HELP QUESTION IN PICTURE
Answer:
b = 55
d = 55
Step-by-step explanation:
Part B:
1. We can see that m∠C (25 degrees), the angle with 100 degrees, and ∠B are adjacent angles that add up to 180 degrees.
This means that b + 25 + 100 = 1802. (Solving equation above)
Step 1: Simplify both sides of the equation.
[tex]b + (25+100)=180[/tex] [tex]b + 125 = 180[/tex]Step 2: Subtract 125 from both sides.
[tex]b + 125 - 125 = 180 - 125[/tex] [tex]b = 55[/tex]Therefore, b = 55.
Part D:
1. The exterior angle theorem states that the exterior angle of a triangle is congruent to the sum of the two opposing interior angles.
This means that 110 = d + 552. (Solving)
Step 1: Subtract 55 from both sides.
[tex]110-55 = d + 55-55[/tex] [tex]55 = d[/tex]Therefore, d = 55.
The national debt of a country is
$27,895,168,401,112. What is this number as a
product of a single digit and a power of 10?
Answer: [tex]3 \times 10^{13}[/tex]
Explanation:
Highlight the first digit on the very left (2). The 7 right next to it means we'll round that 2 up to a 3. Every other digit becomes a zero.
The number 27,895,168,401,112 rounds to 30,000,000,000,000 which is the number 30 trillion.
It converts to the scientific notation [tex]3 \times 10^{13}[/tex] because we basically start with 3.0 and move the decimal point 13 spots to the right to arrive at 30 trillion as shown above.
Three coffee and two muffins cost a total of 7 dollars. Two coffees and four muffins coast a total of 8 dollars. What is the individual price for a single coffee and a single muffin?
Step-by-step explanation:
Given,
3 coffee + 2 muffins = $7
and
2 coffees + 4 muffins = $8
let the coffee be x and muffins be y.
so now, we got
3x + 2y = $7 -----------(eqⁿ 1)
2x + 4y = $8 -------------(eqⁿ 2)
multiply (eqⁿ 1) by 2
we got,
2(3x + 2y = $7) = 6x + 4y = $14 -----(eqⁿ 3)
now, subtract (eqⁿ 2) from (eqⁿ 3)
we got,
(6x - 4y = $14) - (2x + 4y = $8)
we got,
4x = $6
x = 6/4 = $1.5
to get value of y put the value of x in eqⁿ2
we got,
→ 2(1.5) + 4y = $8
→ 3 + 4y = 8
→ 4y = 8 - 3 = 5
→ y = 5/4 = $1.25
hence,
value of one coffee = $1.5
value of one muffin = $1.25
Hope this answer helps you dear! take care!.
Two parallel lines are crossed by a
transversal.
Answer:
h = 60˚
Step-by-step explanation:
Look at where it shows the 120˚, and its verticle angle. Verticle angles are congruent, or the same meaning it's also 120˚.
Then go to its corresponding angle, which is next to the h. Corresponding angles are also congruent, or the same. I'll call this angle m to save time and hopefully confusion.
Now, h and m are supplementary angles, meaning they add up to 180˚.
180˚ - 120˚, or 60˚ is your answer.
h = 60˚
The solution is, the value of h is, h = 60˚
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
here, we have,
from the given figure, we get,
Look at where it shows the 120˚, and its vertical angle.
Vertical angles are congruent, or the same meaning it's also 120˚.
now, we have,
Then go to its corresponding angle, which is next to the h. Corresponding angles are also congruent, or the same.
We call this angle m to save time and hopefully confusion.
Now, h and m are supplementary angles,
meaning they add up to 180˚.
so, we have,
180˚ - 120˚,
or 60˚ is your answer.
i.e.
h = 60˚
Hence, The solution is, the value of h is, h = 60˚
To learn more on angle click:
brainly.com/question/28451077
#SPJ7
how to find r in a geometric sequence calculator
Step-by-step explanation:
We can find r by dividing the second term of the series by the first. Substitute values for a 1 , r , a n d n \displaystyle {a}_{1}, r, \text{and} n a1,r,andn into the formula and simplify. Find a1 by substituting k = 1 \displaystyle k=1 k=1 into the given explicit formula.
Given that £1=$1.62
How much is £650 in $?
How much is $405 in £?
Answer:
£650=$1053
£405=$656.1
from the scale we multiply the values of euro by 1.62
Answer:
1.) 401 dollars
2.)656 euros
Find EG
Please help
Answer:
EG = 12.2
Step-by-step explanation:
Since HG = HE = 14 then the triangle is isosceles.
HF is a perpendicular bisector of EG , then
EF = FG = 6.1 , so
EG = EF + FG = 6.1 + 6.1 = 12.2
Please anyone help me
Answer:
cant tell what ths says
Step-by-step explanation:
HELPPPPPPOOOO SHOW WORKING ALSO THANKS
Step-by-step explanation:
I have explained that in the sheet
3+1=5
false or true
brailest and points
Answer:
FALSE
Step-by-step explanation:
PLZ MARK BRAINLIOEST
Solve for a.
4(a +3) = 12 + 40
=
-3
-1
no solution
all real numbers
Answer: All real numbers.
Step-by-step explanation:
4(a+3) = 12 + 4a
4a + 12 = 12 + 4a
Any value of a will work in this equation, since it is a simple identity. 4a + 12 will always equal 4a + 12, regardless of a.
All real numbers, although I don't know why imaginary numbers wouldn't also work.
help we don’t know the answer
[tex] \tt\blue{Pwe \: \: \: POINTS }[/tex]
Answer:
thank you pare XD
Step-by-step explanation:
(≧▽≦)(≧▽≦)
I NEED ANSWER NOW PLEASE TELL ME HOW YOU GOT THE ANSWER PLEASE NO LINKS ITS DUE IN 10 MINS!
Answer:
644.972
Step-by-step explanation:
6x100=600
4x10=40
4x1=4
9x(1/10)=0.9
7x(1/100)=0.07
2x(1/1000)=0.002
add all of these values up. hope this helps!
Please help I am stuck on this
1. x^2 + 6x + 8 = 0
2. x^2 + 10x + 21 + 0
3. X^2 + 9x + 18 = 0
Answer:
545256
Step-by-step explanation: