This is the same as writing 5/20
====================================================
Explanation:
Instead of saying "9 over 20", I'll write 9/20. The same goes with the other fractions.
The 9/20 probability for red means there are 9 red out of 20 total.
Similarly, the 6/20 refers to 6 blue out of 20 total.
There are 9+6 = 15 sections that are either red or blue, but not both.
This leaves 20-15 = 5 sections for green and it leads to 5/20 as the final answer. We could reduce 5/20 to get 1/4, but it looks like your teacher doesn't want you to reduce the fraction. Sometimes it's handy to not reduce because we see that it's out of 20 spaces total.
Answer:
15/20
Step-by-step explanation:
The sum of two numbers is 32. Their difference is 22. Find the two numbers.
Answer:
Can you pls give me a brainlies I am new pls.
Step-by-step explanation:
Pleaseee helppp with thisss asappp
We are given with a equation of Circle and we need to find it's radius and it's equation in standard form . But , let's recall , the standard equation of a circle is [tex]{\bf (x-h)^{2}+(y-k)^{2}=r^{2}}[/tex] where (h,k) is the centre of the circle and radius is r . Proceeding further ;
[tex]{:\implies \quad \sf x^{2}+12y+22x+y^{2}-167=0}[/tex]
Collecting x terms , y terms and transposing the constant to RHS ;
[tex]{:\implies \quad \sf (x^{2}+22x)+(y^{2}+12y)=167}[/tex]
Now , as in standard equation their is a whole square , so we need to develop a whole square in LHS , for which we will use completing the square method , as coefficient of x² and y² is 1 , so adding 121 and 36 to LHS and RHS .
[tex]{:\implies \quad \sf (x^{2}+22x+121)+(y^{2}+12y+36)=167+121+36}[/tex]
[tex]{:\implies \quad \sf (x+11)^{2}+(y+6)^{2}=324\quad \qquad \{\because a^{2}+2ab+b^{2}=(a+b)^{2}\}}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{\{x-(-11)\}^{2}+\{y-(-6)\}^{2}=(18)^{2}}}}[/tex]
On comparing this with the standard equation , we got our centre at (-11,-6) and radius is 18 units
let F(x) = x^2 + ax + b when a and b are integers, if F(3+root5) = 0 then what is value of F(4) ? please help me I don't know really!!!
Answer:
f(4)=-4
Step-by-step explanation:
hello : this an solution
You leave a 15% tip of $6.12. How much was the bill?
You leave a 15% tip -> The cost = 115% the actual cost without the tip.
So, the bill was $6.12 x 115% = $7.038
Answer: IT DEPENDS ON HOW MANY PEOPLE ARE SPLITTING BY BUT IF IT IS JUST 1 PERSON THEN THE TIP WOULD BE 0.92 BUT IF U WANT IT IN HOLE DOLLARS THEN YOUR TIP WOULD BE 1 DOLLAR AND 78 CENTS
Step-by-step explanation: I HOPE THIS HELPS YOU :D
Peter works 52hours in a 40-hour work week where his basic wages rate is $200.If overtime is paid at time and-a-half, determine his wage for the week.
Answer:
$230
Step-by-step explanation:
Hes paid 200 for his wages but if he works overtime by 12 hours he gets half of the 5 dollars he earns per hour which is 2.5 which then is 2.5 times 12 which is then 30 plus the 200 he earned for the 40 hours.
What is the value of X
Answer: 20
Step-by-step explanation:
3. What other transformation would give the same final position for Building 1? (1 point)
Please help!!
Answer:
A Reflection
Step-by-step explanation:
In geometry, a reflections would be referred to as a flip. A reflection is a representation of a shape. An picture will mirror thru the line of reflection. If a figure is said to be a mirror of another figure, then every point in that figure is equal to every corresponding point in another figure.
Can somebody help me with these problems please
Answer:
11. A. [tex]\frac{12}{13}[/tex]
12. D. [tex]\frac{35}{12}[/tex]
Step-by-step explanation:
11: Sin is just the side opposite of the angle divided by the hypotenuse of the triangle
Opposite of A = 36
Hypotenuse of the triangle = 39
36/39 = [tex]\frac{12}{13}[/tex]
12. Tan is the side opposite of the angle divided by the side adjacent to the angle
Opposite of C = 35
Adjacent to C = 12
35/12 = [tex]\frac{35}{12}[/tex]
Hope this helps!
3. triangle abc has angle measures as shown (look at image).
(a) using the triangle sum theorem, write the equation and solve for x.
(b) what is the value of < b? show your work.
Answer:
x = 6, ∠B = 50°
Step-by-step explanation:
a) 8x + 2 + 70 + 60 = 180
8x + 132 = 180
8x = 180 - 132 = 48
x = 48/8 = 6
b) ∠B = 180 - 70 - 60 = 50°
or 8x + 2 = 8*6 + 2 = 50°
The length of a room is three times its breadth and its volume is 240 m. The cost of plastering its four walls at Rs. 50 per square meter is Rs. 8000, find the height of the room. (Ans: 5 m)
Ⲁⲛ⳽ⲱⲉⲅ :
5mⲊⲟⳑⳙⲧⳕⲟⲛ :We are given that:
The length of the room is three time it's breadth.Volume of the room is 240m³Cost of plastering 4 walls is Rs.8000Cost of plastering 1 wall is Rs.50Some assumptions:
Let the breadth be x Then length will be 3x Let the height be hUsing Formula:
Volume = l × b × h➙ V = l × b × h
➙ V = x × 3x × h
➙ 240 = 3x² × h ㅤㅤ⸻ ( 1 )
Now, the cost of plastering it's 4 walls is Rs 8000 at the rate of 50 /m². So, we can find the area of the walls of the room by dividing 8000 by 50 i.e:
➙ A = Total cost / cost per m²
➙ 8000 / 50
➙ 800 / 5
➙ 160m²
In a cuboid , there are a pair of two opposite and equal rectangular sides, and area of rectangle is given by :
l × bSo, area of 2 walls along length :
➙ 2 × length × height
➙ 2 × 3x × h
➙ 6xh
Area of 2 walls along breadth:
➙ 2 × breadth × height
➙ 2 × x × h
➙ 2xh
Sum of areas of these four walls will be equal to the area of the walls, that we have find earlier;
➙ ( 6xh ) + ( 2xh ) = 160
➙ 8xh = 160
➙ xh = 160 / 8
➙ xh = 20 ㅤㅤㅤ⸻ ( 2 )
Using equation ( 1 )➙ 240 = 3x²h
➙ x²h = 240 / 3
➙ x × xh = 80
➙ x × 20 = 80 ㅤ[ from equation ( 2 ) ]
➙ x = 80 / 20
➙ x = 4
Using equation ( 2 )➙ xh = 20
➙ 4 × h = 20
➙ h = 20 / 4
➙ h = 5
ㅤㅤㅤㅤㅤ~Hence, the height of the room is 5m.
1) What is the perimeter of the following shape?
12
6
5
14
a) 32
b) 35
c) 44
d) 70
Which of the following shows the extraneous solution to the logarithmic equation below? log Subscript 3 Baseline (18 x cubed) minus log Subscript 3 Baseline (2 x) = log Subscript 3 Baseline 144 x = negative 16 x = negative 8 x = negative 4 x = negative 2.
The extraneous solution of the logarithmic problem [tex]\rm log_3(18x^3)-log_3(2x) = log_3 144[/tex] is -4.
What is Logarithm?A log function is a way to find how much a number must be raised in order to get the desired number.
[tex]a^c =b[/tex]
can be written as
[tex]\rm{log_ab=c[/tex]
where a is the base to which the power is to be raised,
b is the desired number that we want when power is to be raised,
c is the power that must be raised to a to get b.
Solving the function using the basic logarithmic value, we get,
[tex]\rm log_3(18x^3)-log_3(2x) = log_3 144\\\\ log_3\dfrac{(18x^3)}{(2x)} = log_3 144\\\\ log_3(9x^2)= log_3 144\\\\\text{Taking antilog}\\9x^2 = 144\\x = \sqrt{\dfrac{144}{9}}[/tex]
If we solve further we will get that the value of x can be either -4 or 4, if take the value of x as -4, in the beginning then you will get log₃(18(-4)³) as the log of negative value which is impossible.
Hence, x=-4 is an extraneous solution.
Learn more about Logarithms:
https://brainly.com/question/7302008
Answer:
x = negative 4
Step-by-step explanation:
The comment and answer above is correct.
Find the sum
3+5+7+9…., n=14
20 points Which percent accurately reflects the green section of the circle? A. 38% B. 48% C. 62% D. 68%
Answer:
38%
Step-by-step explanation:
We know that this circle kind of look like circle that divide into 3 part
But since it a bit more we can infer that it A. 38%
We also know that 48% is about half and 62% or 68% is all the way over half.
Hence, A.38% is the best answer.
[RevyBreeze]
Answer:
a 38%
Step-by-step explanation:
howard is designing a swing chair ride
Please help!!
Sorry I need 20 characters
Answer:
1. Lucky Buy
2. 3/5
Step-by-step explanation:
1. .96/4=.24
1.32/6=.22
2. take the 3 and put it over time like always x/time=3/5
a refrigerator can be bought on hire purchase by making a deposit of $480 and 15 monthly installments of $80 each .calculate the hire Purchase cost of the refrigerator
Answer:
#565 is the best answer I can give you
someone please help!
Answer:
10.
Step-by-step explanation:
Since 60 is the profit you need to make, you plug in 60 into P(x). So, you get the equation 60=0.3[tex]x^{2}[/tex]+7x-40. The answer to this equation is 10. I think this is the correct answer.
Use the arc length formula to find the length of the curve y = 2 − x2 , 0 ≤ x ≤ 1. Check your answer by noting that the curve is part of a circle.
By using the arc length formula, we will see that the length of the curve is L = 1.48
How to use the arc length formula?
Here we have the curve:
y = 2 - x^2 with 0 ≤ x ≤ 1
And we want to find the length of the curve.
The arc length formula for a curve y in the interval [x₁, x₂] is given by:
[tex]L =\int\limits^{x_2}_{x_1} {\sqrt{1 + \frac{dy}{dx}^2} } } \, dx[/tex]
For our curve, we have:
dy/dx = -2x
And the interval is [0, 1]
Replacing that we get:
[tex]L =\int\limits^{1}_{0} {\sqrt{1 + (-2x)^2} } } \, dx\\\\L \int\limits^{1}_{0} {\sqrt{1 + 4x^2} } } \, dx\\[/tex]
This integral is not trivial, using a table you can see that this is equal to:
[tex]L = (\frac{Arsinh(2x)}{4} + \frac{x*\sqrt{4x^2 + 1} }{2})[/tex]
evaluated from x = 1 to x = 0, when we do that, we will get:
[tex]L = \frac{Arsinh(2) + 2*\sqrt{5} }{4} = 1.48[/tex]
That is the length of the curve.
If you want to learn more about curve length, you can read:
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Grayson needs to order some new supplies for the restaurant where he works. The
restaurant needs at least 761 forks. There are currently 205 forks. If each set on sale
contains 10 forks, which inequality can be used to determine x, the minimum
number of sets of forks Grayson should buy?
The inequality that can be used to determine x, the minimum number of sets of forks Grayson should buy is as follows:
761 ≥ 10x + 205
InequalityInequality equations are represented with <, >, ≤, or ≥.
Therefore,
The restaurant needs at least 761 forks . Therefore, the number of forks should be greater than or equals to 761.
He already has 205 forks.
Each sets on sale contains 10 fork.
x = minimum number of sets of forks he should buy.
Therefore, the inequality to represent the situation is as follows:
761 ≥ 10x + 205learn more on inequality here: https://brainly.com/question/24900162
PLEASE HELP!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
a) To find the length of diagonal XT, we can use the distance formula to get [tex]\sqrt{(-3-5)^{2}+(4-(-2))^{2}}=10[/tex]
Since this is a rectangle, XT=YW, meaning YW=10 as well.
b) The area of a rectangle is given by length times width. The length is |-3-5|=8, and the width is |-2-4|=6. So the area is (8)(6)=48.
c) The perimeter is just 2(8+6)=28.
help Rs. 100 are divided between Sangeeta and Manish in the ratio 4:1. Find the
amount Sangeeta gets.
Answer:
80
Step-by-step explanation:
4+1 = 5 This is the total amount of shares
100÷5 = 20 This is how much is in 1 share
So 4 shares, which is how many shares Sangeeta receives, is:
4×20=80
So 80 is the amount Sangeeta gets
[tex]4x+x=100[/tex]
[tex]5x=100[/tex]
[tex]x= \frac{100}{5}[/tex]
[tex]x=20[/tex]
[tex]4×20=80[/tex]
Sangeetha gets 80
Which fact helps you prove the isosceles triangle theorem, which states that the base angles of any isosceles triangle have equal measure?
1. The base angles of an equilateral triangle have equal measure
2. if two sides of a triangle are equal, the third side must be equal to the others
3.If a triangle is equiangular, then it is equilateral.
4.If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle.
Answer:
4. If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle.
Step-by-step explanation:
Facts about equiangular/equilateral triangles have little bearing on isosceles triangles.
The one relevant fact from the given list is that larger angles are opposite longer sides. This requires you to conclude that equal angles are opposite equal sides, which is the conclusion of the isosceles triangle theorem.
Larry made 3 batches of punch. Each batch uses 24 fluid ounces of lemon juice and 3 pints of orange juice. If each serving is 1 cup, how many servings did he make all together? Larry made servings of punch.
24*3=72
72*3=216
3*2=6
216+6=222
the answer is 222
Factor completely x3 7x2 − 2x − 14. (x − 7)(x2 − 2) (x 7)(x2 2) (x 7)(x2 − 2) (x − 7)(x2 2).
The factor of the provided polynomial after the factorization process are similar to option C, which is
[tex](x+ 7)(x^2 -2)[/tex]
How to find the factor of polynomial?The factor of a polynomial is the terms in linear or equation form, which are when multiplied together, give the original polynomial equation as result.
Find these factors by taking out the common factors.
The given polynomial equation in the problem is,
[tex]x^3+ 7x^2 -2x - 14[/tex]
The above equation has the unknown variable x and the highest power of this unknown variable is 3.
Take out the highest common factor x², which can divide each term of the first two terms of equation (x³, 7x²). Thus,
[tex]x^2(x+ 7) -2x - 14[/tex]
Take out the highest common factor -2 from the second two terms as,
[tex]x^2(x+ 7) -2(x + 7)[/tex]
Now take out the common group (x+7) as,
[tex](x+ 7)(x^2 -2)[/tex]
Hence, the factor of the provided polynomial after the factorization process are similar to option C, which is
[tex](x+ 7)(x^2 -2)[/tex]
Learn more about factor of polynomial here;
brainly.com/question/24380382
If 2.85 is written as an improper fraction, what is
the numerator?
Answer:
yes
Step-by-step explanation:
The numerator of the improper fraction 2 + 17/20 (which is the decimal 2.85 written as an improper fraction) is 57.
Here, we have to convert the decimal number 2.85 to an improper fraction.
2.85 has a whole number part of 2.
The decimal part 0.85 can be written as 85/100.
85/100 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 5:
85 ÷ 5 = 17
100 ÷ 5 = 20
So, 85/100 simplifies to 17/20.
The whole number part is 2, and the fraction is 17/20.
So, the improper fraction is:
2 + 17/20.
To find the numerator, multiply the whole number part (2) by the denominator of the fraction (20), and then add the numerator of the fraction (17):
Numerator = (Whole number part × Denominator) + Numerator of the fraction
Numerator = (2 × 20) + 17
Numerator = 40 + 17
Numerator = 57.
So, the numerator of the improper fraction 2 + 17/20 (which is the decimal 2.85 written as an improper fraction) is 57.
For more such questions on fraction
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Reflect quadrilateral ABCD across the line y = -2. Write the coordinates of the new vertices.
If the coordimate is reflected over y = -2, hence the resulting coordinate wil be A = (4, -2), B = (2, 3), C = (-6, 2) and D = (2, 2)
Reflection off coordinatesGiven the coordinate of the quadrilateral shown below
A = (-2, -2)
B = (-1, 3)
C = (3, 2
D = (-1, 2)
Reflecting the coordinates over the y - axis will give:
A = (2, -2)
B = (1, 3)
C = (-3, 2)
D = (1, 2)
If the coordimate is reflected over y = -2, hence the resulting coordinate wil be:
A = (4, -2)
B = (2, 3)
C = (-6, 2)
D = (2, 2)
Learn more on reflection here: https://brainly.com/question/1908648
Sambriddhi bent a rope to form a circle.If she got the circumference of the circle is 30cm more than its diameter. What was the length of the radius?
easy peasy here we go..
so first circumference = 2π R
now it is given that circumference - 30 cm = Diameter;
Diameter = 2πR - 30 = 2 R { diameter = 2 times Radius}
now solving equations:
2πR -2R = 30
πR - R = 15
R ( π - 1 ) = 15
R ( 22/7 - 1) = 15
R ( 15/7 ) = 15
R = 15 x 7 / 15
R = 7 cm
Mark as brainliest
Answer:
7.01 cm
Step-by-step explanation:
Circumference = 2πr
=> d + 30 = 2πr
=> 2r + 30 = 2πr
=> 2r(π - 1) = 30
=> 2.14r = 15
=> r = 15/2.14
=> r = 7.01 cm
A(1,5), B(-4,-3), C(3,-3), and find the area of the triangle it forms.
Answer:
first calculate the lenght of a triangle with the distance formula
Which side is the hypotenuse? Which side will you plug in for c?
Answer:
Option B: √117
Step-by-step explanation:
The hypotenuse of a right triangle is the longest side. In this case, since the longest side is √117 cm, then c=√117.
Answer: B) √117
The correct answer is B) √117
Step-by-step explanation:
As seen, the figure is a right triangle. The hypotenuse is the longest side of the triangle, so the correct option is B) √117. Since the longest side is √117cm, the this means that c = √117cm
Hope this helps =)
