Answer:
The correct options for the possible lengths of the third side are;
13 inches
28 inches
Step-by-step explanation:
The given lengths of two sides of the triangle are;
The length of one side of the triangle = 1 foot = 12 inches
The length of the other side of the triangle = 20 inches
The question can be solved by the triangle inequality theorem as follows;
A + B > C
B + C > A
A + C > B
Let the given sides be A = 12 inches and B = 20 inches
We have;
12 + 20 = 32 > C
Therefore, by the triangle inequality theorem, the third side, 'C', is less than 32 inches
Similarly, when C = 6 inches, we have;
A + C = 12 + 6 = 18 < B = 20
Therefore, the third side cannot be 6 inches
when C = 13 inches, we have;
A + C = 12 + 13 = 25 > B = 20
Therefore, the third side can be 13 inches
when C = 28 inches, we have;
A + C = 12 + 28 = 30 > B = 20
Therefore, the third side can be 28 inches
Based on the triangle inequality theorem, the possible lengths of the third side of the triangle are: 13 inches and 28 inches.
The Triangle Inequality Theorem
The triangle inequality theorem states that, sum of the length of any two sides of a given triangle = length of the third side.
Given the measures,
1 ft = 12 iches20 inchesThe possible third side must make the three set of numbers conform to the triangle inequality theorem.
Thus, for 13 inches, we have:
13 + 12 > 20; 12 + 20 > 13; 20 + 13 > 12
Also, for 28 inches, we have:
28 + 12 > 20; 12 + 20 > 28; 20 + 28 > 12
Therefore, based on the triangle inequality theorem, the possible lengths of the third side of the triangle are: 13 inches and 28 inches.
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An athletics club has junior
(i.e. boy or girl) members and adult members.
The ratio of girls to boys to adults is 3:4:9
and there are 16 more adult members than
junior members. In total, how many members
does the club have
Answer:
The total number of members are 128 members
Step-by-step explanation:
From the question, mixing the ratio of children to adult, we have ;
7:9
There are 16 more adult members
So if there are x children, then there are 16 + x adults
Thus, the total number of members will be;
16 + x + x = 2x + 16
Now, we have that;
7/16 * (2x + 16) = x
7(2x + 16) = 16x
14x + 112 = 16x
16x-14x = 112
2x = 112
x = 112/2
x = 56
The total number of members is thus;
2(56) + 16 = 128
The multiplicative inverse of 7^-2 is
1/7
1/7^2
7^2
7
Answer:
the answer is 1/7
Step-by-step explanation:
I hope it helps you
I NEED HELP PLEASE!!!!!!
Answer:
y-intercept: 11
which means the baby weighs 11 lb when it is born (t=0).
Step-by-step explanation:
Ehhhh...?
I don’t understand this the rest I semi know but uh .,.
Answer:
The correct answer would be 6.53
Y’all, lord have mercy
How am I in highschool, yet I don’t know how to solve this without a calculator
Answer:
4
Step-by-step explanation:
Answer:
Answer of this qn is. 4 hope it help s
Simplify by expressing with radicals. ^6radical x^2 y^6
Read and answer the question shown below.
20 points
Misty plans to attend Austin College in Sherman, Texas. She researched and estimated the
following expenses for a year if she lives on-campus.
Tuition and Fees
Room and Board
Books
Other
TOTAL
$33,830
$11,715
$2,500
$2,500
$50,545
Misty has a $1,000 scholarship from the PTA where she attended elementary school. She
plans on working part-time during college. She estimates she can earn $500 a month for the 9
months she will be there. Her parents are going to pay the expenses in 4 equal payments,
about how much will each payment be after her scholarship and her earnings are applied to the
cost?
A $41,945
B $10,486.25
C $11,261.25
D $11,286.25
lits
can someone please help me? it would mean so much to me. thanks a lot!
Answer:
Maybe -3
Step-by-step explanation:
I am not 100% sure but it is better than nothing,
since 3+3=6 I think after 3 is 6, and after 6 is 9. I think that because the more right the line goes you add 3 to every move. So therefore, 3-3=0, and 0-3= -3
Hope this helps. Also, I hope I gave you the correct answer.
A group of 12 adults and 26 children go to a theme park.
The total cost of tickets was £1804.80
And adults ticket costs £51.60
Find the cost for a child
Answer:
45.56923076923077
Step-by-step explanation:
Work out 51.6 x 12 which is 619.2 and subtract that from 1804.80 then x your answer which is 1,184.8 and divide by 26 to get your answer which is 45.569....
a. Identify the series of transformations that would map Circle A onto Circle B.
b. Identify the series of transformations that would map Circle C onto Circle A.
Answer:
Step-by-step explanation:
Assumed Knowledge
Motivation
Content
Radii and chords
Angles in a semicircle
Angles at the centre and circumference
Cyclic quadrilaterals
The alternate segment theorem
Similarity and Circles
Links Forward
Converse of the circle theorems
Coordinate geometry
Calculus
History and Applications
The Euler line
The nine-point circle
Morley’s trisector theorem
Appendix − Converses to the Circle Theorems
Answers to Exercises
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ASSUMED KNOWLEDGE
Introductory plane geometry involving points and lines, parallel lines and transversals, angle sums of triangles and quadrilaterals, and general angle-chasing.
Experience with a logical argument in geometry written as a sequence of steps, each justified by a reason.
Ruler-and-compasses constructions.
The four standard congruence tests and their application to proving properties of and tests for special triangles and quadrilaterals.
The four standard similarity tests and their application.
Trigonometry with triangles.
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MOTIVATION
Most geometry so far has involved triangles and quadrilaterals, which are formed by intervals on lines, and we turn now to the geometry of circles. Lines and circles are the most elementary figures of geometry − a line is the locus of a point moving in a constant direction, and a circle is the locus of a point moving at a constant distance from some fixed point − and all our constructions are done by drawing lines with a straight edge and circles with compasses. Tangents are introduced in this module, and later tangents become the basis of differentiation in calculus.
The theorems of circle geometry are not intuitively obvious to the student, in fact most people are quite surprised by the results when they first see them. They clearly need to be proven carefully, and the cleverness of the methods of proof developed in earlier modules is clearly displayed in this module. The logic becomes more involved − division into cases is often required, and results from different parts of previous geometry modules are often brought together within the one proof. Students traditionally learn a greater respect and appreciation of the methods of mathematics from their study of this imaginative geometric material.
The theoretical importance of circles is reflected in the amazing number and variety of situations in science where circles are used to model physical phenomena. Circles are the first approximation to the orbits of planets and of their moons, to the movement of electrons in an atom, to the motion of a vehicle around a curve in the road, and to the shapes of cyclones and galaxies. Spheres and cylinders are the first approximation of the shape of planets and stars, of the trunks of trees, of an exploding fireball, and of a drop of water, and of manufactured objects such as wires, pipes, ball-bearings, balloons, pies and wheels.
a) The series of transformations to map Circle A onto Circle B is likely a translation. b) The series of transformations to map Circle C onto Circle A is a translation, rotation, and scaling.
a. To map Circle A onto Circle B, we must determine the transformation sequence. We can scale, rotate, and translate.
Translation: An object is translated horizontally or vertically without affecting shape or orientation. To match Circle B, Circle A appears to need to be shifted right and up.
Rotation: An object rotates around a fixed point. Rotation may not be needed since Circle A and Circle B appear to be aligned.
Scaling: An object is resized by scaling. Since Circle A and Circle B are the same size, scaling doesn't seem necessary.
Thus, Circle A-to-Circle B transformations are likely translations.
b. Again, we must determine the transformation sequence to transfer Circle C onto Circle A. Translation: Based on their relative positions, Circle C needs to be shifted left and down to match Circle A.
Rotation: To align Circles A and C, they must be rotated.
Scaling: Circle A is larger than Circle C, hence Circle C should be scaled down.
Thus, translating, rotating, and scaling map Circle C onto Circle A.
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Slope =3/2 y-intercept =0
Answer:
The equation is y=3/2x
Step-by-step explanation:
Hope you can see this
Answer:
I can see it, sorry
Step-by-step explanation:
What is the line of best fit for these points?
(0, 6)(2, 10) (-2, 2)(-1,4)
Answer:
b
Step-by-step explanation:
This is the graph to your question. The points include: (0, 6) (2, 10) (-2, 2) (-1,4)
Withat are the missing length(s) of the sides of the triangle labeled 'a' and ‘b’.
Here are two rectangles.
6 cm
9 cm
8 cm
12 cm
Complete this sentence.
The two rectangles are similar and the scale factor is
Answer: The graph of y > mx, where m > 0, consists of a dashed line and a shaded half plane. The line has a positive slope and passes through the origin. The shaded half plane is above the line.
Step-by-step explanation:
What is the value of y=5x+3 when x = 3
Answer:
y = 5(3)+3
= 15 +3
= 18
y = 18
hope it's helpful ❤❤❤❤
THANK YOU.
at the end of the basket ball game, the players were given the choice of having a bottle of water or a box of juice. of all the players, 12 chose a water bottle which was 3/4 of the total amount of players. Write and solve the equation to determine p, the total amount of players in the basket ball game.
Answer: 16 players in total
Step-by-step explanation:
12 divided by 3/4 is 16
12 / 3/4 = p
16 / p
Can someone help me ?
What is the y-intercept of the graph of the line given by the equation 3y + 4x = 15
A. 5
B. 4
C. 3
D. -4/3
Answer:
It would be 5
Step-by-step explanation:
NEED HELPP CORRECTT ANSWERS AND WILL GIVE THANKS AND MARK BRAINLIST ONLY FOR CORRECT ANSWER
4,20
i think that the answer
(Please help) Based on the equation you wrote in part 1, complete the table below (equation is f = 1000t)
Number of tigers | Area (Square feet)
1 :
2 :
3 :
4 :
Answer:
1,000
2,000
3,000
4,000
Step-by-step explanation:
just took the test got it right
Answer: I got the sample answer correct
Step-by-step explanation:
the edmentum answer
Which equation represents a line with a slope of -6/5
and a y-intercept of 1?
Answer:
y = -6/5x + 1
Step-by-step explanation:
The equation that represents a line with a slope of -6/5 and a y-intercept of 1 is y = -6/5x + 1
How to determine the equation?The given parameters are:
Slope, m = -6/5y-intercept = 1Let the variable of the equation be x.
A linear equation is represented as:
y = Slope * x + y-intercept
So, we have:
y = -6/5 * x + 1
Evaluate
y = -6/5x + 1
Hence, the equation is y = -6/5x + 1
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The area of this rectangle is 10cm2, find the value of x and use it to find the length and the width of the rectangle.
If the length of a rectangle is three time the width and it’s perimeter is 24 cm, what is its area?
Answer:
The area of this rectangle is 10cm2, find the value of x and use it to find the length and the width of the rectangle.
If the length of a rectangle is three time the width and it’s perimeter is 24 cm, what is its area?
Length and width of the rectangle are 4 cm and 2.5 cm respectively.
Given in the picture,
A rectangle with the area of 10 cm².Expressions representing the lengths of the rectangle as(4x + 2) cm and (10x - 1) cm
By the property of a rectangle, measure of opposite sides of a rectangle are always equal,
(4x + 2) = (10x - 1)
(4x + 2) - 4x = (10x - 1) - 4x
2 = 6x - 1
2 + 1 = (6x - 1) + 1
3 = 6x
[tex]x=\frac{3}{6}=\frac{1}{2}[/tex]
Now we can get the length of the given rectangle by substituting the value of 'x' in (10x - 1) or (4x + 2).
(10x - 1) = [tex]\frac{10}{2}-1[/tex]
= 4 cm
Since, area of a rectangle is given by the expression,
Area = Length × width
By substituting the values in the expression,
10 = 4 × width
Width = [tex]\frac{10}{4}[/tex]
= 2.5 cm
Therefore, length and width of the rectangle are 4 cm and 2.5 cm respectively.
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18. Find the measure of angle STP.
Answer:
x=7
Step-by-step explanation:
∠STP=∠SWT+∠TSW(exterrior ∠ of Δ)
15x=7x+1+7x+6
x=7
are 2x3 and 4x4 like or unlike terms
Answer:
They are like terms
Step-by-step explanation:
Answer:They are like terms!
Step-by-step explanation:
Below is a set of data about temperatures. The range of a set of data is the distance between the lowest and highest value in the set. What is the range of these temperatures?
9°C, -3°C, 22°C, -5°C, 11°C, 15°C
Answer:
22-(-5)= 27
Step-by-step explanation:
22 is the highest temp. -5 is the lowest.
The range of the given temperatures is 27.
What is the range of the data set?"It the difference between the highest and lowest value of the data set."
For given example,
a set of data about temperatures is,
9°C, -3°C, 22°C, -5°C, 11°C, 15°C
First, we arrange the data values in ascending order.
-5°C, -3°C, 9°C, 11°C, 15°C, 22°C
Here, the lowest temperature = -5°C
the highest temperature = 22°C
So, the range of the data set would be,
R = highest temperature value - lowest temperature value
R = 22 - (-5)
R = 22 + 5
R = 27
Therefore, the range of the given temperatures is 27.
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27 is what percent of 18.75 it is asking for a percent answer I’ve tried 44%, 144, 506.25
Answer:
144%
Step-by-step explanation:
Answer:
144%??
Step-by-step explanation:
thats the answer man
Question 15 (5 points)
5
6
(2) There are two paths that one can choose to go from
Sarah's house to James house. One way is to take C street,
and the other way requires to take A street and then B
street. How much shorter is the direct path along C street?
(Using figure).
3
9
12
Sarah
house TTT
15
James
house
B Street
1.5 miles
C Street
A Street
2 miles
Which number is NOT in the solution set of x + 6 < 14?
Answer:
x < 8
Step-by-step explanation:
x + 6 < 14
x < 14-6
x < 8
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Bookstore A sells a particular book for $15.25, but they have it on sale for 20% off. Bookstore B sells it for $12.45. How much more does it cost at Bookstore B?
Answer:
$0.25
Step-by-step explanation:
to find the amount bookstore A sales after the 20% discount, cross multiply x/15.25=20/100 and you get $3.05. 15.25-3.05 gives you $12.2. substract 12.2 from 12.45 and you get $0.25. book B costs $0.25 more than book A.