Answer:
It’s option A, Choi’s option A
Step-by-step explanation:
Rationalise this fraction
Answer:
28-14[tex]\sqrt{3}[/tex]
Step-by-step explanation: Step 1[tex]\frac{14(2-\sqrt{3}) }{(2+\sqrt{3})(2-\sqrt{3}) }[/tex] Step 2 [tex]\frac{14(2-\sqrt{3}) }{1}[/tex] ANSWER = 28-14[tex]\sqrt{3}[/tex]
Suppose a triangle has a side lengths AB, BC, and x where AB=2 • BC. Find the possible range for x in the terms of BC.
The possible range for x, in the terms, of BC is BC < x< 3BC.
Triangle Inequality TheoremIn mathematic, there is a rule for triangle side lengths. This rule says that the sum of the lengths of any two sides of a triangle is greater than the length of the one side (third side). Therefore,
[tex]L1+L2 > L3\; (1)\\ \\ L1+L3 > L2\; (2)\\ \\ L2+L3 > L1\; (3)[/tex]
The question gives three sides: AB (L1), BC (L2) and x (L3). Also, you know that AB=2 BC.
Applying the equation (1) of rule for triangle side lengths, you have:
L1+L2> L3
AB+BC > x
2BC+BC > x
3BC > x
x< 3BC
Applying the equation (2) of rule for triangle side lengths, you have:
L1+L3 > L2
AB+x >BC
2BC+x > BC
x > -BC
Applying the equation (3) of rule for triangle side lengths, you have:
L2+L3 > L1
BC + x > AB
BC + x > 2BC
x > BC
The intersection of the inequalities results is the solution of this problem. Then, the possible range for x, in the terms, of BC is BC < x< 3BC. See the attached image.
Read more about the triangle inequality theorem here:
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Help! How do I do this?
Step-by-step explanation:
remember, the sum of all angles in a triangle is always 180°.
and the sum of all angles around one point at one side of a line is also airways 180° (because you can imagine that point to be the center of a circle, and the line would cut that circle in half = 180° for every half).
in the triangle LKM we know 2 angles already :
angle 1 = 44°
angle K = 90° (right angle).
so, angle 2 = 180 - 90 - 44 = 46°
and so, angle 5 = 180 - 46 = 134°.
as the angles around point L on line KL are the angles 2 and 5.
angle 5 = 134°
PLEASE HELP ME QUICKKKKK
FINDING UNKNOWN ANGLE MEASURES-SUPPLEMENTARY ANGLES--#5
Please help with all of them!
Answer:
See the first 3 problems solved below.
I added the next 3 problems.
Step-by-step explanation:
1.
2x + 4x = 180
6x = 180
x = 30
2x = 2(30) = 60
4x = 4(30) = 120
2.
3x + 6x = 180
9x = 180
x = 20
3x = 3(20) = 60
6x = 6(20) = 120
3.
8x + 10x = 180
18x = 180
x = 10
8x = 8(10) = 80
10x = 10(10) = 100
4.
7x + 8x = 180
15x = 180
x = 12
7x = 7(12) = 84
8x = 8(12) = 96
5.
2x + x = 180
3x = 180
x = 60
2x = 120
6.
2x + 2x = 180
4x = 180
x = 45
2x = 2(45) = 90
The value of the variable x will be 60°. Then the measure of the angles ∠GFH and ∠CBD will be 60° and 120°.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
The angles ∠GFH = x and ∠CBD = 2x.
From the figure, the angles ∠GFH and ∠CBD are supplementary angles.
∠GFH + ∠CBD = 180°
x + 2x = 180°
3x = 180°
x = 60°
Then the measure of the angles ∠GFH and ∠CBD will be
∠GFH = 60°
∠CBD = 2 × 60°
∠CBD = 120°
The value of the variable x will be 60°. Then the measure of the angles ∠GFH and ∠CBD will be 60° and 120°.
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Using the data set below, create a cluster of three different positive integers to be added to the data set that would
increase the mean by 3.
{ 8, 6, 9, 7, 9, 8, 9}
Use words, numbers, and/or pictures to show your work. Enter your answer in the space provided.
Answer:
17, 18, 19Step-by-step explanation:
The mean of the dataset is:
(8 + 6 + 9 + 7 + 9 + 8 + 9)/7 = 56/7 = 8Increased mean is:
8 + 3 = 11The sum of the numbers in the larger data set is:
11*(7 + 3) = 110The difference of sums is:
110 - 56 = 54We need a combination of 3 different numbers with the sum of 54.
One option would be:
17, 18, 19Find the quotient. (3. 683 × 104) (7. 51 × 1012) What is the solution in scientific notation? 4. 9041 × (-9)10 4. 9041 × 10-9 4. 9041 × 109 4. 9041 × 910.
The value of the expressions (3.683 × 10⁴) and (7.51 × 10¹²) in scientific notation is 4.9041 × 10⁻⁹. Then the correct option is B.
What is division?The division means the separation of something into different parts, sharing of something among different people, places, etc.
The expressions are (3.683 × 10⁴) and (7.51 × 10¹²).
We have to divide (3.683 × 10⁴) from (7.51 × 10¹²).
[tex]\dfrac{3.683 * 10^4}{7.51*10^{12}}\\\\0.4904*10^{-8}\\\\4.9041*10^{-9}[/tex]
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NEED HELP ASAP! Which of the following could be the second equation in the system of equations seen below, so that the system has infinite solutions? Select all that apply.
Answer:
B, E, F
Step-by-step explanation:
If the system has infinite solutions, then the 2 equations will be identical.
So we are looking for an equation, which, when simplified or rearranged or multiplied by a constant, will be the same as the given equation [tex]4x-6y=12[/tex]
If we multiply equation A by 2 we get: 4x + 6y = 12
This is not the same as the original equation since the operation sign is addition rather than subtraction.
If we divide equation B by 5 we get: 4x - 6y = 12
This is identical to the original equation, and therefore could be the second equation.
Equation C: y = (2/3)x + 12
Multiply by 3: 3y = 2x + 36
Multiply by 2: 6y = 4x + 72
Rearrange: 4x - 6y = -72
If we divide equation D by 1.5 we get: 4x - (8/3)y = 8
Equation E: y = (2/3)x - 2
Multiply by 3: 3y = 2x - 6
Multiply by 2: 6y = 4x - 12
Rearrange: 4x - 6y = 12
This is identical to the original equation, and therefore could be the second equation.
Equation F: 3y = 2x - 6
Multiply by 2: 6y = 4x - 12
Rearrange: 4x - 6y = 12
This is identical to the original equation, and therefore could be the second equation.
There are two glasses of water. One has 17 ml water, and the other has two times that amount. Jen wants to pour them both into 5 ml bottles. How many bottles does she need all together? a. 6 b. 7 c. 10 d. 11
The number of bottles requires to pour the water into is gotten by dividing the total capacity of water by the capacity of the bottle
Answer = 10 bottles
Capacity of ContainersGiven Data
Capacity of first glass = 17mlCapacity of second glass = 2*17 = 34mlCapacity of the bottles to be poured into = 5mlTotal capacity of the two glasses = 34+17 = 51 mlLet us find the number of bottle required
No of bottles = Total Capacity of the two bottle/Capacity of the small bottles
No of bottles = 51/5
No of bottles =10.2
10 approx.
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A survey in a school was conducted about whether students like meat, vegetables, both, or neither on their pizzaThe results are shown in the table
.Of all the students Who like vegetable on their pizza what percentage of those students that do not like me on your pizza
enter your answer to the nearest whole percent in the box
Using it's concept, it is found that of the students who like the vegetables on their pizza, the percentage that do not like meat is of 76.19%.
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
[tex]P = \frac{a}{b} \times 100\%[/tex]
In this problem, we have that:
105 students like vegetables on their pizza, hence b = 105.80 do not like meat, hence a = 80.Thus, the percentage is given by:
[tex]P = \frac{80}{105} \times 100\% = 76.19\%[/tex]
More can be learned about percentages at https://brainly.com/question/10491646
Answer:76.19%
Step-by-step explanation:
Suppose three days ago was Tuesday. What day of the week will it be 90 days from today?
A) Monday
B) Thursday
C) Friday
D) Saturday
Also write how you got that answer.
Answer:
the answer if Friday
Step-by-step explanation:
If, according to the problem, it was Tuesday three days ago, then today must be Friday. The days of the week repeat in sets of 7. If today is Friday, then 91 days from now will be Friday as well, since 91 is a multiple of 7. Thus, 90 days from now will be the day before Friday, or Thursday.
Answer:
90 days from now will be the day before Friday, or Thursday.
Step-by-step explanation:
The days of the week repeat in sets of 7. If today is Friday, then 91 days from now will be Friday as well, since 91 is a multiple of 7.
find the value of x that will make a||b
Answer:
30 degrees
Step-by-step explanation:
We know that 2x + 50 and 5x - 80 both add up to 180 degrees because they are co-interior. so, lets simplify it:
2x + 50 + 5x - 80
= 7x - 30
7x - 30 = 180
7x = 210
x = 30 degrees
Express the series using sigma notation 5 -10 + 20 - 40 + 80 - ...
Answer:
[tex]\displaystyle \text{series}=\sum_{n=0}^{\infty}{5\cdot(-2)^n}[/tex]
Step-by-step explanation:
The first term is 5 and the common ratio is -2. The general term for n starting at 1 can be written as ...
an = a1·r^(n-1)
If we start n at 0, then we can eliminate the -1 from the exponent:
[tex]\displaystyle \text{series}=\sum_{n=0}^{\infty}{5\cdot(-2)^n}[/tex]
Please help me with this math.
#1
[tex]\\ \tt\Rrightarrow -1/4(-8x+12y)[/tex]
[tex]\\ \tt\Rrightarrow 2x-3y[/tex]
#2
[tex]\\ \tt\Rrightarrow 36a-16[/tex]
[tex]\\ \tt\Rrightarrow 4(9a-4)[/tex]
Percy wants to buy a guitar that costs $56. He plans to save the same amount of money each week for 7 weeks. How much money should Percy save each week so that after 7 weeks he will have exactly enough for the guitar? $5 $8 $48 $64
Answer:
$8
Step-by-step explanation:
Let x represent the amount of money he has to save each week.
We can use this to set up an equation:
[tex]7x=56[/tex]
Now, we have to "isolate the variable". This means we must have a resulting equation of [tex]x=\text{something}[/tex].
In this case, we can use the Division Property of Equality to divide both sides by 7:
[tex]\frac{7x}{7}=\frac{56}{7}\\x=8[/tex]
Therefore he must say $8 each week for 7 weeks so that he can buy the guitar.
Y=x+6 make x the subject
Answer:
x = y - 6
Step-by-step explanation:
Use PEMDAS to move x to the other side.
y=x+6
Subtract 6 from both sides to get rid of 6 on one side to make x the subject.
y-6=x
[tex]\mathbb{FINAL\;ANSWER:}[/tex]
[tex]\huge\boxed{\sf{x=y-6}}[/tex]
[tex]\mathbb{SOLUTION\;WITH\;STEPS:}[/tex]
Hi! Hope you are having a nice day!
In order to make x the subject, we need to solve for x.
It's easy, right?
We have
y=x+6
Move x to the left. Be sure to use the opposite operation.
y-x=6
Now, move y to the right:
-x=6-y
x=-6+y
or
x=y-6
There's an easier way:
y=x+6
y-6=x
x=y-6 (See? We ended up with the same answer :) )
Hope you could understand everything.
#CarryOnLearning
23. What is the value of x in the figure? (12x - 3)° 105°
Answer:
Step-by-step explanation:
12x - 3 = 105 (parallel to each other)
12x = 105 + 3
12x = 107
12x/12 = 107/12
x = 8.9
x = 9
Answer:
See attached image
Step-by-step explanation:
A 25-foot ladder is placed against a vertical wall of a
building, with the bottom of the ladder standing on
level ground 9 feet from the base of the building. How
high up the wall does the ladder reach?
Answer:
26.5ft
Step-by-step explanation:
Consider:
AB=25 ft
BC =9 ft
AC=?ft
[tex](AB)^2 + (BC)^2 = (AC)^2\\25^2+ 9^2=(AC)^2\\(AC)^2= 625+81\\[/tex]
AC=√706
AC=26.5 ft
Hope this helps! :)
y + 3y + 5y = -18 what is the value of y
Answer:
y = -2
Step-by-step explanation:
Step 1: Combine like terms.
[tex](y+3y+5y)=-18[/tex] [tex]9y=-18[/tex]Step 2: Divide both sides by 9.
[tex]9y/9=-18/9[/tex] [tex]y=-2[/tex]Step 3: Check if solution is correct.
[tex]-2+3(-2)+5(-2)=-18[/tex] [tex]-2-6-10=-18[/tex] [tex]-18=-18[/tex]Therefore, y = -2.
help please find x (:
solve for N.
5 - N = 1 1/4
Step-by-step explanation:
5-n=11/4
5-n=2.75
collect like terms
n=2.75+5
n=7.75
I hope this was helpful
Which equation is equivalent to 4. 5 = 2a? a = 2. 5 a = 2. 25 4. 5a = 2 a 2 = 4. 5.
Answer:
a=2.25
Step-by-step explanation:
Given the equation 4.5=2a, you'd finds the value of "a" and divide both sides by 2.
4.5/2=a
2.25=a
a=2.25
Making Inferences from Multiple Samples
Solve each problem.
1 A biologist is studying diseases in chimpanzees. He takes three random samples of the same size
from a troop of 150 chimpanzees. One sample indicates that 3% of the chimpanzees are hairless,
another sample indicates that 5% are hairless, and a third sample indicates that 4% are hairless.
How many hairless chimpanzees should the biologist expect to find in the troop?
Using proportions, it is found that the biologist should be expected to find 6 hairless chimpanzees in the troop.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, the mean of each sample is as follows: 3%, 5% and 4%.
Hence, from all samples, the mean should be expected to be of:
(3% + 5% + 4%)/3 = 4%.
Out of 150 chimpanzees:
0.04 x 150 = 6.
The biologist should be expected to find 6 hairless chimpanzees in the troop.
More can be learned about proportions at https://brainly.com/question/24372153
Need help finding the coordinate rule
Answer:
(x, y ) → (x - 4, y - 3 )
Step-by-step explanation:
consider the coordinates of A and A'
A (0, 4 ) , A' (- 4, 1 )
0 to - 4 in the x- direction means subtracting 4
4 to 1 in the y- direction means subtracting 3
then translation rule is
(x, y ) → (x - 4, y - 3 )
Dome Prep School is planning to plant sod to cover their combined track and football field. The field is rectangular in the middle, with a width of 160 feet and a length of 360 feet. On both ends, the field is semicircular,
Answer:
150 pallats
Step-by-step explanation:
PLS PLS PLS PLS HELLLPPPPPP MEEEEEE!!!!!!
50 POINTS + BRAINLIEST!!!!!
NO links please :)
Picture is in the file below.
In the figure shown, line AB is parallel to line CD. What is the measure of angle x? Explain your answer.
(10 points)
answer: 55
Step-by-step explanation:
angle apg is eqal to angle pgr (being alternate angles)
x + pgr is equal to 120 (exterior angle of a triangle is equal to opposite interior angle)
Solution:
Let "E" denote the top right angle. (Refer to image). Then ∠E and ∠R are a linear pair.
⇒ ∠E + ∠R = 180
⇒ ∠E + 120 = 180
⇒ ∠E = 180 - 120
⇒ ∠E = 60°
Line AB forms a straight line which is a measure of 180°.
⇒ 65 + ∠E + x = 180
⇒ 65 + 60 + x = 180
⇒ 125 + x = 180
⇒ 125 - 125 + x = 180 - 125
⇒ ∠x = 55°
WHATS THREE EIGHTHS TIMES TWO PLEASE HURRY
Answer:
[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
[tex]\frac{3}{8}*2[/tex] = [tex]\frac{6}{8}[/tex]
6/8 = 3/4
PLEASE SOMEBODY HELP QUICK!!!!
Part A: What is the maximum amount, in dollars, of profit Michelle can earn from the sale of her necklaces?
Michelle will sell her homemade necklaces for $8 each
at a craft fair. It costs her $150 for the booth rental at
the craft fair. She made 200 necklaces to sell.
Part A: What is the maximum amount, in dollars, of
profit Michelle can earn from the sale of her necklaces?
Answer:
$1,600
Step-by-step explanation:
Because she made 200 and they were $8 each. 200 times 8 equals 1,600
In the data set below, what is the mean absolute deviation?
4 2 5 1 6
Answer:
2 1 8 0 3
Step-by-step explanation:
the devidation is a
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Two objects are moving along separate linear paths where each path is described by position, d, and time, t. The variable d is measured in meters, and the variable t is measured in seconds. The equation describing the graph of the position of the first object with respect to time is d = 2. 5t 2. 2. The graph of the position of the second object is a parallel line passing through (t = 0, d = 1). What is the equation of the second graph? A. D = 2. 5t 1 B. D = t 2. 5 C. D = -0. 4t 1 D. D = 2. 5t 3. 2.
The equation of second graph is [tex]d = 2.5 t + 1[/tex]
We have given the linear equation is
[tex]d = 2.5 t +2.2,[/tex]
If the graph of the position of the second object is parallel to
[tex]d = 2.5 t +2.2,[/tex]
What is the form of linear equation?The equation of slope intercept form is
[tex]d=mt+b[/tex]
compare the given equation with the slope intercept form
we get m = 2.5
t = 0, d = 1
1 = 2.5 · 0 + b
b = 1
Therefore,the equation of second graph is [tex]d = 2.5 t + 1[/tex]
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