The statement if two noncollinear rays join at a common endpoint, then an angle is created is a DEFINED TERM.
A defined term is a sentence or expression used to define a concept, statement or confusing words.
From the question shown, we can see that a statement was created which is defined as "If two noncollinear rays join at a common endpoint, then an angle is created". This can be said to be a defined term since there are presence of keywords that made the statement meaningful and easily understandable.
Hence we can conclude that the statement is neither postulate, theorem nor an undefined term rather we can say it is a DEFINED term.
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The person above is correct defined term :)
find length of missing sides just fill in the missing blanks I need the answer dont have to put the explanation
A 30-60-90 triangle follows a unique pattern. It's hypotenuse is double the shortest leg and its longest leg is the shortest leg times the square root of 3.
In this case, we are given the hypotenuse. The hypotenuse is 2 times the shortest leg, so the shortest leg, f, must be 10.
Then, the longest leg of the triangle is the shortest leg times the square root of 3. Therefore, the longest leg is 10 times sqrt(3).
Hope this helps!
what is two plus two
Step-by-step explanation:
2+2=4
two plus two is four
Step-by-step explanation:
2+2=4it's four (4)The square pyramids are similar. Find the volume of the smaller pyramid. Round your answer to the nearest hundredth.
A. 3.70 yd
B. 3.90 yd
C. 4.21 yd
D. 4.68 yd
Answer:
A
Step-by-step explanation:
Since the pyramids are similar, the scale factor will be 3. So the height of the small pyramid is 6.3/3=2.1. The volume will be (1/3)*(2.1)*(2.3)^2=3.70
The volume of smaller square pyramid is 3.703 cubic yards. Therefore, option A is the correct answer.
What are similar figures?Similar figures mean when two figures are of the same shape but are of different sizes. In other words, two figures are called similar when they both have a lot of the same properties but still may not be identical.
Given that, the two square pyramids are similar.
Let the height of smaller square pyramid be h.
As we know, when two geometrical figures are similar, their sides will be in proportion.
Now, 6.9/2.3 = 6.3/h
3=6.3/h
h=2.1 yd
The volume of square based pyramid =a²h/3.
Thus, volume = (2.3²×2.1)/3
= 11.109/3
= 3.703 cubic yards
Therefore, option A is the correct answer.
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(4.23)(1.6) please multiple
Answer:
The correct answer is 6.768.
Step-by-step explanation:
(4.23)(1.6) = 6.768
Answer:
6.768
Step-by-step explanation:
(4,23)(1.6)=6.768
The points E, F, G and H all lie on the same line segment, in that order, such that the
ratio of EF: FG: GH is equal to 5 : 2:3. If EH = 60, find GH
Answer:
Hello,
Step-by-step explanation:
ratio of EF: FG: GH is equal to 5 : 2:3.
[tex]\Longrightarrow \dfrac{EF}{5} =\dfrac{FG}{2}=\dfrac{GH}{3}=k\\\\EF=5*k\\FG=2*k\\GH=3*k\\\\\\EH=EF+FG+GH=5k+2k+3k=10k\\\\EH=10k=60 \Longrightarrow k=6\\\Longrightarrow GH=3*k=3*6=18(cm)[/tex]
The length of GH is 18 units.
What is a Line Segment?A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.
The figure given below shows a line segment EH, where the length of line segment EH refers to the distance between its endpoints, E and H.
Given that the points E, F, G and H all lie on the same line segment
E______________F______________G_____________H
We have to determine GH
We have the ratio of EF: FG: GH is equal to 5 : 2 : 3.
Then EF/5 = FG/2 = GH/3 = c
So EF = 5c, FG = 2c, and GH = 3c
Given that EH = 60,
⇒ EH = EF + FG + GH
⇒ 60 = 5c+ 2c+ 3c
⇒ 10c = 60
⇒ c = 60/10
⇒ c = 6
So GH = 3(6) = 18
Hence, the length of GH is 18 units.
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Which graph represents an odd function?
Answer:
the second one (the one on the bottom)
Step-by-step explanation:
An odd function is where f(x) = -f(x), and therefore is unchanged when rotated 180 degrees about the origin. This results in the bottom graph.
How do I do this I need a little help
Answer:
B
Step-by-step explanation:
the decay will cause loss so it's the function B
Answer:
B
Step-by-step explanation:
trust
given that (2*(x -3) ) / 8*( 2 y - 3) = 16*( x - y )
Answer:
2 ^ (x - 3) ÷ 2 ^ 3(2y - 3)=2 ^ 4(x - y)
The two are common so we give it out then
x - 3 ÷ 6y - 9 =4x - 4y
x - 3 -4x - 4y = 6y -9
-3x -2y = -6
6=3x+2y
Answer:
Step-by-step explanation:
[tex]\frac{2^{x-3}}{8^{2y-3}}=16^{x-y}\\\\\frac{2^{x-3}}{(2^{3})^{2y-3}}=(2^{4})^{x-y}\\\\\frac{2^{x-3}}{2^{3*(2y-3)}}=2^{4*(x-y)}\\\\\frac{2^{x-3}}{2^{6y-9}}=2^{4x-4y}\\\\2^{x-3 -(6y-9)}=2^{4x-4y}\\\\2^{x-3-6y+9}=2^{4x-4y}\\\\2^{x-6y+6}=2^{4x-4y}[/tex]
base is same, so equate the powers
x - 6y + 6 = 4x - 4y
Subtract 'x' from both sides
-6y + 6 = 4x -x - 4y
-6y + 6 = 3x - 4y
Add '6y' to both sides
6 = 3x - 4y + 6y
6 = 3x + 2y
Hence proved
A rectangle has side lengths 2x + 3 and 5x - 2.
Write an expression without brackets for the area of the rectangle
Answer:
10x² + 11x - 6
Step-by-step explanation:
The area (A) is the product of the sides, that is
A = (2x + 3)(5x - 2) ← expand using FOIL
= 10x² - 4x + 15x - 6 ← collect like terms
= 10x² + 11x - 6
(A) What is the domain of K
(B) What is the range of K
Which angles are congruent to each other?
Angle 4 and Angle 3
Angle 3 and Angle 7
Angle 8 and Angle 5
Angle 1 and Angle 3
Answer:
1 and 3 are congruent
Answer:
Angle 1 and angle 3 are congruent
In ABC, what is the measure of angle B?
Answer:
D
Step-by-step explanation:
The sum of two remote interior angles (a remote interior angle is the interior angle that is not supplementary to the exterior angle given -- in this case A and B are remote angles) equals the exterior angle.
In This case A + B = 140
A = x + 2
B = 2x
x +2 + 2x = 140
3x + 2 = 140 Subtract 2 from both sides
3x = 138 Divide by 3
x = 138/3
x = 46
<B = 2x
<B = 2*46
<B = 92
The dot plot below represents this set of data:
30, 29, 30, 28, 28, 27, 22, 28, 28, 22, 27, 26, 25, 27
Answer:
True
Step-by-step explanation:
All of them match up
express 23/7 in decimal form
Answer:
3.285714286
Step-by-step explanation:
The 12th term of the arithmetic sequence is 10.5. The 18th term of this sequence is 13.5. Find the common difference and the first term.
let the n'th term be called x, and the value of the term y,
then there is a function y=a*x + b
that will give us all term we want.
this formula is also used for straight lines.
we just need a and b. we already got two data points. we can just plug the known x/y pairs into the formula
10.5 = a*12 + b
13.5 = a*18 + b
now lets manipulate these lines.
multiply the first line by 3 and the second line by 2
31.5 = a*36 + 3b
27 = a*36 + 2b
subtract the second line from the first line
4.5 = b
yey, we now know b, let's plus b into either line from above, I'll go with the first one, looks easier.
10.5 = a*12 + 4.5
6 = a*12
0.5 = a
now y=a*x + b can be filled with a and b
y = 0.5 * x + 4.5
for x=1 (the first term) it's f(1)=5
each step is 0.5, hence the common difference.
2and way:(13.5-10.5)/(18-12)
= 3 / 6
= 0.5
we got the comment difference by looking at the full difference over 6 steps and divined by these 6 steps.
from step 12 to step one it's 11 steps down
10.5 - 0.5*11
= 10.5 - 5.5
= 5
okay I admit... 2and way to do it might be faster and more intuitive... :Dayone amos right now gonna be answering : yungbreezyf2
ill add you if you follow my t i k t o k(:
I really need help anyone know which option is correct.?
Answer:
B, [tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
This problem is essentially asking one to envision a line passing through the set of points on the coordinate plane, then to find the constant of proportionality of that line. The constant of proportionally, also known as the rate of change, or the slope, is a number that can be used to describe the range that happens between points on a line. The following formula can be used to find the slope of a line passing through a set of points.
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Where the points ([tex]x_1,y_1[/tex]) and ([tex]x_2,y_2[/tex]) are points on the line.
As one can see, on the given coordinate plane, the points ([tex]2,-1[/tex]), and ([tex]4,-2[/tex]) are on the coordinate plane. Substitute these points into the formula to find the slope of the line, then simplify to evaluate the equation and find the slope,
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
([tex]2,-1[/tex]), ([tex]4,-2[/tex])
[tex]=\frac{-2-(-1)}{(4)-(2)}[/tex]
[tex]=\frac{-2+1}{4-2}\\\\=\frac{-1}{2}\\\\=-\frac{1}{2}[/tex]
how do i convert y = 6x into y = mx + b form?
Answer:
it already is in that form
y = 6x
technically Y = 6x + 0 could be the answer...
but in math we tend to not rite "obvious" information
to reduce clutter and confusion
+1[tex]x^{1}[/tex] is technically correct but we drop the + sign for positive numbers
and also drop the exponent if it is a 1 ... similarly
+1[tex]x^{1}[/tex] + 0 + 0 + 0 would also be silly and we don't write the zeros
+1[tex]x^{1}[/tex] + 0 + 0 + 0 = x
Step-by-step explanation:
Write an equation of a line with the given slope and y-intercept.
m = , b = 2
Answer:
Equation is y = mx + 2
Step-by-step explanation:
General equation of line:
[tex]{ \boxed{ \bf{y = mx + b}}}[/tex]
Substitute in considerance of the question:
[tex]{ \sf{ y = mx + 2}}[/tex]
If m is given, substitute for m to the answer.
13. Which equation represents the line below?
A. y = -x +3
B. y = 2x - 6
c. y = -x + 4
D. y = 1/2x -3
Answer:
y = -2/3x + 3
Step-by-step explanation:
First, we need to calculate the slope of the line. We can do this by using the slope formula using two points:
(y₂ - y₁) / (x₂ - x₁)
If we take the points (-3,5) and (3,1), then: y₂ = 1; y₁ = 5; x₂ = 3; x₁ = -3
Next, we can substitute in values in the equation above to get (1 -5)/(3+3)
** We got 3+3 because it was 3 - (-3), where two negatives equal a positive**
Then, we get, -4/6, which simplifies to -2/3. Our slope is -2/3
After that, we need to find the y-intercept, which is where the line intercepts the y-axis. Here, that is at (0,3).
Therefore, if we put the above information into slope-intercept form:
y = mx + b --> m = -2/3; b = 3
y = -2/3x + 3
Though I don't think that answer choice is there...
How do radical expressions relate to everyday life , give atleast 3 examples !!!!!
Please do this ASAP!
No links, thank you!
Answer:
D
Step-by-step explanation:
Slope is (1/8) and y intercept can be found by setting x=0.
A moving company uses plastic wrap to bundle groups of boxes together. If a portion of plastic wrap that measures 900 inches in length is used to bundle each group of boxes, how many groups of boxes can be bundled using 1500 feet of the same type of plastic wrap?
Answer: 20 boxes
Step-by-step explanation:
First and foremost, we need to know that 1 foot = 12 inches. Therefore, 1500 feet will be converted to inches and this will be:
1500 feet = 1500 × 12 = 18000 inches
Since each group of box requires 900 inches, then the number of group of boxes that can be used in this case will be:
= 18000/900.
= 20 groups of boxes
Hope made 3 different yo-yo's. She used 1 3/4 meters of string for the first yo-yo, 1 meter of string
Answer:
See explanation
Step-by-step explanation:
Your question is different from the attachment
Statement 1
1 adult + 5 Children
$4 for adult and total of $16 for both adult and children
Let
Cost of children skating = x
The equation is
4 + 5x = 16
Statement 2:
Cost of making a bike bag= $4
Selling price of the bike bag = $5
Profit = $16
Let x = number of bike bag
Profit = selling price - cost price
16 = 5x - 4x
16 = x(5 - 4)
Also written as
(5 - 4)x = 16
Statement 3:
Initial temperature = 16°C
Change in temperature per hour = 4°C
Final temperature = 5°C
Let
x = number of hours it changes
16 - 4x = 5
Hope made 3 different yo-yos. She used 1 3/4 meters of string for the first yo-yo, 1 meter of string for the second yo-yo, and a total of meters of string 4 1/3
length of first yo-yo = 1 3/4
length of second yo-yo = 1
Length of third yo-yo = x
Total = 4 1/3
Total length = length of first yo-yo + length of second yo-yo + length of third yo-yo
4 1/3 = 1 3/4 + 1 + x
4 1/3 = 2 3/4 + x
4 1/3 - 2 3/4 = x
13/3 - 11/4 = x
(52-33) / 12 = x
19/12 = x
x = 1 7/12
If 55% people in a city like Cricket, 30% like Football and the remaining like nother games, then what per cent of the people like other games? If the total people is 60 lakh, find the exact number who like each type of games Answer it fast, no spam please
write in notebook
[tex]\large{\dag\:{\underline{\underline{\frak{\pmb{\red{Answer:-}}}}}}}[/tex]
Cricket = 55%Football = 30%Other games = Remaining (?)So, the percent of people who like other games equals:
= 100 – (55 + 30)
= 100 – 85
= 15%
If the total no. of. people is 60,00,000:
★ Cricket
= 60,00,000 × 55/100
= 33,00,000
★ Football
= 60,00,000 × 30/100
= 18,00,000
★ Other sports
= 60,00,000 × 15/100
= 9,00,000
Five consecutive multiples of 7 have a sum of 350. What is the smallest of these numbers?
A. 70
B. 56
C. 77
D. 84
Answer:
B. 56
Step-by-step explanation:
x + (x + 7 ) + ( x + 14 ) + ( x + 21 ) + ( x + 28 ) = 350
( x + x + x + x + x ) + ( 7 + 14 + 21 + 28 ) = 350
5x + 70 = 350
- 70 - 70
_____________
5x = 280
x = 56
Hope this helps!
The smallest number is 56, the correct option is B.
What is Sum?The sum is the output of the mathematical operation, Addition.
Let the first number is x, they are multiples of 7,
As they are multiples of 7, the consecutive numbers will be added by 7 for next term.
The 5 consecutive numbers can be written as x, (x+7), (x+14), (x+21), (x+28).
The equation can be formed for the numbers that are given as,
An equation is a mathematical statement that relates an algebraic expression with other expression by an equal sign.
The sum of the multiples is 350
x + (x + 7 ) + ( x + 14 ) + ( x + 21 ) + ( x + 28 ) = 350
Grouping the variables and the constants separately
( x + x + x + x + x ) + ( 7 + 14 + 21 + 28 ) = 350
5x + 70 = 350
Adding (-70) to both sides of the equation
5x = 280
Dividing both sides by 5
x = 56
The value of the first number of the series is obtained.
The first value is the smallest number of the series.
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Thirty- five out of sixty students preferred to eat their lunch at school rather going home in lunch break. Express the numbers in decimal.
Answer:
0.583
Step-by-step explanation:
Use a caluclator
31/6=0.1875. Which calculation is NOT a way to find 9/16?
Answer:
A
or
the top right option
or
0.5 + 0.1875
Step-by-step explanation:
We know D or 9 divided by 16 is the same as 9/16, so just solve for that.
Then solve for the others and find the ones that doesn't equal 9/16.
( √8/3 - √24 + √50/3) . √6
Answer:
6(3√3-2)
Step-by-step explanation:
(√8/3 - √24 + √50/3) . √6
(√8/3 - 2√6 + 25√2/3) . √6
(2√2/3 - 2√6 + 25√2/3) . √6
(27√2/3 - 2√6) . √6
(27√12/3 - 12)
9√12-12
√12(9-√12)
2√3(9-2√3)
6(3√3-2)
Answer:
2Step-by-step explanation:
[tex]( \sqrt{8/3} - \sqrt{24} + \sqrt{50/3} )* \sqrt{6} =\\\sqrt{48/3} - \sqrt{144} + \sqrt{300/3} =\\\sqrt{16} - 12 + \sqrt{100} =\\4 - 12 + 10 =\\2[/tex]
Let be the density function for the shelf life of a brand of banana which lasts up to weeks. Time, , is measured in weeks and . Incorrect answer icon Your answer is incorrect. Find the mean shelf life of a banana using . Round your answer to one decimal place. Mean
The question is incomplete. The complete question is :
Let [tex]p(t) = -0.0375t^2 + 0.225t[/tex] be the density function for the shelf life of a brand of banana which lasts up to 4 weeks. Time, t, is measured in weeks and [tex]$0 \leq t \leq 4$[/tex]. Incorrect answer icon Your answer is incorrect. Find the mean shelf life of a banana using . Round your answer to one decimal place.
Answer:
2.4
Step-by-step explanation:
Given :
[tex]p(t) = -0.0375t^2 + 0.225t[/tex]
Mean :
[tex]$=\int_0^4 tp (t) \ dt$[/tex]
[tex]$=\int_0^4 t (0.0375 t^2 + 0.225t) \ dt$[/tex]
[tex]$=-0.0375 \int_0^4 t^3 \ dt + 0.225 \int_0^4 t^2 \ dt$[/tex]
[tex]$=-0.0375 \left[ \frac{t^4}{4} \right]^4_0 + 0.225 \left[ \frac{t^3}{3} \right]^4_0$[/tex]
[tex]$=-0.0375 (64) + 0.225 \left( \frac{64}{3} \right)$[/tex]
[tex]$=-2.5 + 4.8$[/tex]
= 2.4
Therefore, the mean is 2.4
