[tex]\frac{3}{5-\sqrt{3} }[/tex]
= [tex]\frac{3(5 + \sqrt{3})}{5-\sqrt{3} (5 + \sqrt{3}) }[/tex]
= [tex]\frac{15 + 3\sqrt{3} }{5^{2} - \sqrt{3}^{2} }[/tex]
= [tex]\frac{15 + 3\sqrt{3} }{25-3 }[/tex]
= [tex]\frac{15 + 3\sqrt{3} }{22 }[/tex]
Solve for x.
X-6
___ =5
3
Answer:
x = 21
Step-by-step explanation:
(x-6) /3 = 5
Multiply each side by 3
(x-6) /3 * 3 = 5*3
x-6 = 15
Add 6 to each side
x-6+6 = 15+6
x = 21
What is the length of the side opposite the 45degree angle
Answer:
In a 45 - 45 - 90 triangle, the legs are equal and the ratio of sides from shortest to longest is 1 : 1 : √2 where 1 are the legs and √2 is the hypotenuse. In this case the leg is 10 / √2 = 5√2.
The two top NBA players played a basketball game against the RSM team. Together the NBA players made 85 baskets, scoring one point for free throws and two or three points for field goals. They scored a total of 184 points during the game. If they made 22 free throws, how many three-point field goals did they make
Answer:
They made 36 three-point field goals
Step-by-step explanation:
For free throws , we have one point each.
So here, the total points they made from free throws is 22 * 1 = 22 points
So the number of points made from field goals would be 184-22 = 162 points
So the issue we have now is knowing the number of 3-point field goals that was made.
How can we get this?
Remember they made 85 baskets? so if we subtract the number of free throws, then we can have the number of field throws and that is 85-22 = 63
Now, let the number of 2 points throws be x and the number of 3 points throws be y
From our earlier analysis;
x + y = 63 ••••••••• (i)
Now the total number of three pointers would be 3 * y = 3y and the total number of two pointers would be 2 * x = 2x
Adding both gives a total of 162
Thus;
2x + 3y = 162 •••••••• (ii)
So we have two equations to solve simultaneously.
From equation 1, we can say that;
x = 63-y
Let’s substitute this into equation 2
2(63-y) + 3y = 162
126 -2y + 3y = 162
126+y = 162
y = 162-126
y = 36
This means that they made 36 three-point field goals
Answer:
They made 36 three-point field goals during the game
Step-by-step explanation:
PLEASE HELP ASAP I BEG
this is the question is Estimate. 9.8 * 5.2 Choose 1 answer: a 5 b 50 c 500 d 5000
Answer: 50
Step-by-step explanation:
I am rounding it to 1 significant figure.
9.8 = 10 (round up when the last digit is 5, 6, 7, 8 or 9)
5.2 = 5 (round down when the last digit end with 0, 2, 3 or 4)
So it now is 10 x 5 = 50
Rounding to 1 significant figure, we get the product of 9.8 * 5.2 is 50. Thus, option B is correct.
What is rounding a number to some specific place?Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.
Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.
Given product is 9.8 * 5.2
Now we are rounding it to 1 significant figure.
Round up when the last digit is 5, 6, 7, 8 or 9
9.8 = 10
Round down when the last digit end with 0, 2, 3 or 4
5.2 = 5
So, 10 x 5 = 50
Thus, option B is correct.
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Solve: 6(1-3) = 2(9-21)
Answer:-12=-24 FALSE
Step-by-step explanation:
6-18= -12
18-42= -24
The statement is false
<!> Brainliest is appreciated! <!>
[tex]\text{Solve:}\\\\6(1-3) = 2(9-21)\\\\\text{Use the distributive property}\\\\6-18 = 18-42\\\\-12=-24\\\\\text{This would make the equation False, since -12 doesn't equal -24}[/tex]
In a plane, line e is perpendicular to line f, line f is perpendicular to line g, and line h is parallel to line f. which of the following must be true?
Answer:
a). line h is perpendicular to line g
Step-by-step explanation:
In these cases, always make a litle scetch, and just plot what is given.
You can immediately see the answer, which is answer a).
lf h is parallel to f and line f is perpendicular to line g,
then line h is perpendicular to line g.
one and two third minus two and two third
Answer:
[tex]1 \frac{2}{3} - 2\frac{2}{3} = -1[/tex]
Step-by-step explanation:
[tex]1\frac{2}{3} - 2 \frac{2}{3\\} \\\\\frac{5}{3} - \frac{8}{3} = \frac{-3}{3} \\ \\\frac{-3}{3} = -1[/tex]
Hope this helps! :)
factor out the greatest common factor. 6x^5-15x^2+12x=?
Answer:
Factor GCF: 3x(2x⁴ - 5x + 4)
Step-by-step explanation:
Simply take out the greatest variable first and then take out the GCF of the numbers to find out factored GCF.
please helllpppppp please hellepp
Answer:
b
Step-by-step explanation:
A line sloping upwards from left to right has a positive gradient.
A line sloping downwards from left to right has a negative slope
If the line crosses the y- axis above the x- axis then y- intercept is positive.
If the line crosses the x- axis below the x- axis then y- intercept is negative.
The line shown slopes downwards from left to right, thus negative gradient
The line crosses the y- axis above the x- axis thus y- intercept is positive
10 points question please help A water faucet turned 2 1/7 to the right and the 1 3/4 to the right again. How far has the facet turned?
Answer:
The faucet has turned a total distance of 3 25/28
Step-by-step explanation:
To know the total distance turned by the faucet, what we need to do is to add together the distances to which it has turned.
Mathematically, that would be;
2 1/7 + 1 3/4
which is;
15/7 + 7/4 = (60 + 49)/28 = 109/28 = 3 25/28
What’s the answer for it
Answer: Part 1: 111.24
Part 2: 9.27
Part 3: 54 minutes
Step-by-step explanation:
Part 1: Since you already know that the total bill increases by 3%, you just have to find 103% of 180.
1.03*108= 111.24; your answer would be 111.24 pounds
Part 2: Since you already know yearly, 111.24 divided by 12= 9.27 per month
Part 3: First find 73% of 200 which is 146. Then subtract that from 200 which is 54. So you have 54 minutes left.
Which inequality is represented by the accompanying graph?
Thank you!!!
Answer:
y<3
Step-by-step explanation:
It is y<3 because all areas below y=3 are shaded.
In addition, the line y=3 is dotted, which means it is not part of the inequality (i.e. strict inequality).
If it had been a full line, then it would be y<=3.
I need the answer to C.
Answer:
The answer to c is an arc
Answer:
it's an arc of the circle.
Step-by-step explanation:
An arc of a circle is a "portion" of the circumference of the circle.
A straight line passes through the origin and has a gradient of 4. Find the equation
Answer:
y = 4x
Step-by-step explanation:
The slope is 4.
The line passes through (0, 0).
Equation of a line y = mx + b, m is the slope, and b is the y-intercept.
y = 4x + b
Put x and y as 0.
0 = 4(0) + b
0 = b
The y-intercept is 0.
The equation of the line is y = 4x.
Write an equation for the vertical translation y=-2/9 |x| -7; 1 units down
Answer:
y = -2/9 |X| - 8
Step-by-step explanation:
I'm not certain whether the -7 is part of the |X| or it's just out of the equation. But shifting an equation up or down is very intuitive.
If you want to move an equation up a certain unit, you just add that many units (positive) onto the end of an equation. The same goes for moving a unit down, where you subtract that many units you want to go down.
Answer:
y=-2/9 |x| -8
Step-by-step explanation:
y = f(x) + C C < 0 moves it down
y=-2/9 |x| -7 Shift down 1 by subtracting 1
y=-2/9 |x| -7-1
y=-2/9 |x| -8
Here is the histogram of the data distribution all websites are One what is the median of this distribution? 7, 9, 5, 4
Answer:
5
Step-by-step explanation:
To find the median of the distribution, since the columns are divided into boxes(segments), we simply count the number of individual boxes
Here, the total number of boxes would be 15 boxes , so we count 7 boxes starting form each of the ends, then the middle box is the median
Counting from each end, the middle box falls on 5 which makes it our median
Answer:
5
Step-by-step explanation:
The awnsers 5
the number 5 is in the middle of all the numbers.
Five red marbles, 3 green marbles, and 2 blue marbles are place in a jar. What is the probability of selecting a green marble and then a blue marble, given the first marble is not returned to the jar after it is drawn?
Answer:
30%
Step-by-step explanation:
Since its 10 marbles we can just add 1 zero to each number
5 marbles = 50%
3= 30%
2= 20%
Answer:
Step-by-step explanation:
P=3/5 ×1/6=1/10
Which of the following pairs of angles are supplementary? Select all that apply.
The supplementary angles are:
<1 and <3
<1 and <4
<2 and <3
<2 and <4
what are supplementary angles?Angles that add up to 180 degrees are referred to as supplementary angles. For instance, angle 130° and angle 50° are complementary angles since the sum of these two angles is 180°. The sum of complimentary angles is 90 degrees.
Given:
As, the supplement angles forms 180 angles.
So, from the angles that are supplementary are
<1 and <3
<1 and <4
<2 and <3
<2 and <4
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A circle has a radius of 6 in. The inscribed equilateral triangle will have an area of:
Answer:6 √3
Step-by-step explanation:
Length of a side of an equilateral triangle inscribed in a circle =
r
√
3
where r is the radius of the circle
Therefore, Area =
√
3
a
2
4
a
=
6
√
3
Answer:
27√3
Step-by-step explanation:
Length of a side of an equilateral triangle inscribed in a circle =
r√3, where r is the radius of the circle
Therefore, Area =
√3 a^2/4
a=6√3
a/Asin = b/Bsin = c/Csin
c = a * sin C/sin A = 6(sin 120/sin 30) = 6√3
Please explain how you would prove that all circles are similar?
Answer:
Shapes are similar when one can be scaled to be like another one. Circles are always the same shape and they only vary in size. A very small circle can be expanded to be the same size as any other without changing it's shape, only size. However this is not true for ovals since they come in different shapes.
Step-by-step explanation:
The mean of 3,x,14,11,13 is 10. find x
If EB = 5, find the value of CD.
3
CD = [?]
Enter
Answer: 10
Step-by-step explanation:
AB = 2EB
AB=CD
Due to that
Cd = 2EB therefore
CD = 10
The value of CD is 10.
What is perpendicular?Perpendicular lines are lines that intersect at a right (90 degrees) angle.
Given:
EB= 5
As, OE is perpendicular to AB
AB = 2EB
Also, AB=CD
so, CD= 2 EB
CD = 2*5
CD= 10
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5) El peso en kilos de 9 niños es 15, 25, 17, 19, 16, 26, 18, 19 ,24 a) ¿Cuál es la media y mediana? El promedio es 20 b) ¿Cuál es la mediana si incluimos el peso de otro niño que pesa 43 kg? c) En el segundo caso ¿sería la media aritmética un buen representante de los 10 datos? Argumenta tu respuesta.
Respuesta: 19; 19,89
B) 19 C) No
Explicación paso a paso:
Dados los datos:
15, 25, 17, 19, 16, 26, 18, 19, 24
Reorganizando los datos:
15, 16, 17, 18, 19, 19, 24, 25, 26
Mediana de los datos:
(N + 1) / 2
Donde N = número de observaciones
Mediana = (9 +1) / 2 = 10/2 = 5 a observación = 19.
Media = suma de valores observados / número de observaciones
Media = (15 + 16 + 17 + 18 + 19 + 19 + 24 + 25 + 26) / 9
Media = 179/9 = 19.89
B) mediana si se agrega otro niño que pese 43 kg
Los nuevos datos se convierten en:
15, 16, 17, 18, 19, 19, 24, 25, 26, 43
Mediana = (N + 1) / 2
Mediana = (10 + 1) / 2 = 11/2 = 5.5 Como tenemos un decimal:
La mediana será el promedio de la quinta y sexta observación: (19 +19) / 2 = 38/2 = 19
C) No, la media aritmética no parece ser un buen representante de la observación de 10 datos con el valor de peso recién agregado de 43 kg, ya que el valor parece considerablemente más alto que el conjunto de los 9 valores anteriores. Con el peso recién agregado, la media aritmética se convierte en: Media = (15 + 16 + 17 + 18 + 19 + 19 + 24 + 25 + 26 + 43) / 10 Media = 222/10 = 22.2
which graph represents a reflection of f(x)=1/10(10)x accross the y axis
B (second image)
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Suriland cannot both export wheat and keep bread plentiful and affordable in Suriland. Accordingly, Suriland's wheat farmers are required to sell their crop to the government, which pays them a dollar per bushel less than the price on the world market. Therefore, if the farmers could sell their wheat on the world market, they would make a dollar per bushel more, less any additional transportation and brokerage costs they would have to pay.
Which of the following, if true, most seriously weakens the argument?
(A) Suriland's wheat farmers have higher production costs than do farmers in many other wheat-producing countries.
(B) Sale of a substantial proportion of Suriland's wheat crop on the world market would probably depress the price of wheat.
(C) The transportation and brokerage costs that Suriland's farmers would face if they sold their wheat outside Suriland could amount to almost a dollar per bushel.
(D) Suriland is surrounded by countries that do not import any wheat.
(E) The price of a bushel of wheat on the world market occasionally drops below the average cost of producing a bushel of wheat in Suriland.
Answer:
the most accurate argument is (C) The transportation and brokerage costs that Suriland's farmers would face if they sold their wheat outside Suriland could amount to almost a dollar per bushel.
Step-by-step explanation:
The cost of transportation and other logistics is being covered by the government that is why the government pay less than dollar per bushel.
so the price of the wheat would have to decrease at home so that the cost of the transportation can be covered by the government who are buying directly from the farmers.
The planner needs a clearance of 9 feet under the arch. Has the planner met the minimum height?
Answer:
Yes,planner has met the minimum height, as minimum height was 9 feet and maximum height of arc is 9.6 feet
Step-by-step explanation:
The question is incomplete as all the details have not been given in the question.I have attached the complete question and its options at the bottom. Consult in for better understanding.
As we can see that at the mid value, for x=4, the value of f(x)=9.4
It means that the maximum height occurs at mid of the arc where it is height is 9.6 feet above the ground.
It means that the planner has met the minimum height, as minimum height was 9 feet and maximum height of arc is 9.6 feet
Answer:
B on Edge
Step-by-step explanation:
yes, because the width of the arch is 9.6 feet
Help!!!!! please!!!!!
Answer:
Step-by-step explanation:
r = 15 ft
h = 22 ft
Volume of cylinder = πr²h
= π * 15 * 15 * 22
= 4950π
= 4950 * 3.14
= 15543 cubic ft
A regular hexagon has a radius of 4 inches. What is the approximate area of the hexagon? a. 24 b. 42 c. 48 d. 84
Answer:
The approximate area of the hexagon is 42 in²
Now, the length of one side is 4 inches.
Answer:
B. 42 in.^2
Step-by-step explanation:
Just took the Unit Test on Edg (2020-2021)!!
Instructions: Write the explicit rule. Remember to simplify and do not put spaces in your answer. Sequence: 30,0,−30,−60,… 30 , 0 , − 30 , − 60 , … = a n = Answer
Answer:
a(n)=60-30n
Step-by-step explanation:
Equation to use:
a(n) = a(1) + d(n-1)
where a(1) is the first term, d is the common difference between terms, and n is the nth term you are trying to find.
In this case, a(1) is 30, d is -30, and n is just n.
If you plug that into the equation and use the distributive property, you would get: a(n) = 30 -30n + 30.
Adding the two 30's gets you: a(n) = 60 - 30n, which is the solution.