Question 4 of 10
A triangle has two sides of lengths 4 and 7. What value could the length of
the third side be? Check all that apply.
A. 9
B. 11
C. 17
D. 5
E.3
F. 7
Answers
The correct answers are Options A, D, and F.
Identifying the possible length of the third side in a triangle:
Given:
The lengths of the triangle are 4 and 7.
Let's assume the length of each side of the triangle to be x, y, and z.
With the given condition, let's say x=4 and y=7 and z= 3rd side.
A triangle must satisfy a condition that the sum of its 2 sides is always greater than the 3rd side.
As we are unsure which side is the greatest in the given triangle, let's apply the values for each of the conditions.
If z is longer, then x+y >z
Applying the values of x and y, 11 > z
If y is longer, then x+z > y
Applying the values of x and y,
4 + z >7
z > 7-4
z > 3
From the above, it is clear that 3<z<11.
Hence, any value between 3 and 11 can satisfy this triangle.
Therefore, the correct answer from the given options is 5, 7, and 9.
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Related Questions
Maria correctly concluded that not enough information was provided to construct the requested proof. What extra information would allow Maria to contrast the proof? SA=TR. RS= ST. ASCT is similar to ASCA. SC=5/2BR
Answers
Answer:
Hello your question is incomplete attached below is the complete question
answer: RS = ST ( option b )
Step-by-step explanation:
First we consider Δ SCA and Δ TCB
∠ SCA = ∠ TCB , ∠CAS = ∠CBT = 90°
if we assume RS = ST then ΔSRT will be termed an Isosceles triangle with its legs : SR = ST. also vertex S bisects the base of the triangle.
Δ SBR ≅ ΔSBT from here we can deduce that ; BR = BT
From the assumptions what is actually missing to contrast the proof is : RS = ST
The gardening club set a goal of raising at least $500
in flower sales. So far it has raised $415. How many
more dollars does the gardening club need to raise
to reach its goal?
Answers
Answer:
Nxnjsjdndkknnndnnnenndnnd
Answer:
85
Step-by-step explanation:
If you subtract 415 from 500 you get 85.
Therefore the gardening club needs 85$
If you could mark brailiest that would be great, I'm trying to rank up.
Hope I helped:)
HAve a great day:)
How do I subtract 8 1/2 - 6 7/8
Answers
Hope this helps :)
8x+6x=112+1x+7x=89
solve this
Answers
Then subtract 8x from 14x to get 6x=112=89
Then (I don't think this is right) subtract 112 from 89 to get -23 so it looks like this 6x=-23 then devide 6from both sides to get x=-23/6 or x=-3.83 3will be repeating
1. How much farther is the Earth from
Saturn than it is from Jupiter?
2. Suppose you traveled from Saturn to
Jupiter, and then from Jupiter to Mars.
What would be the total distance?
3. How much closer is Saturn to Jupiter
than it is to Earth?
4. Find the total distance from Mercury to
Earth,
5. Which is closer to Earth, Venus or
Mars? How much closer is it?
6. How much farther is the Earth from
Saturn than it is from Mars?
Answers
1) Earth is 403,400,000 miles farther from Saturn than it is from Jupiter.
2) The total distance from Saturn to Jupiter and from Jupiter to Mars is 745,400,000 miles.
3) Saturn is 390,000,000 miles closer to Jupiter than is is to Earth.
4) Total distance from Mercury to Earth is 56,700,000 miles.
5) Venus is 22,300,000 miles closer to Earth than Mars.
6) Earth is 745,000,000 miles farther from Mars than Saturn.
Given,
1) Distance from Earth to Saturn = 793,000,000 miles
Distance from Earth to Jupiter = 390,400,000 miles
793,000,000 - 390,400,000 = 403,400,000
That is, Earth is 403,400,000 miles farther from Saturn than it is from Jupiter.
2) Distance from Saturn to Jupiter = 403,400,000 miles
Distance from Jupiter to Mars = 342,000,000 miles
403,400,000 + 342,000,000 = 745,400,000
Therefore, the total distance from Saturn to Jupiter and from Jupiter to Mars is 745,400,000 miles.
3) Distance from Saturn to Jupiter = 403,400,000 miles
Distance from Saturn to Earth = 793,800,000 miles
793,800,000 - 403,400,000 = 390,400,000
So, Saturn is 390,000,000 miles closer to Jupiter than is is to Earth.
4) Distance from Mercury to Venus = 30,700,000 miles
Distance from Venus to Earth = 26,000,000 miles
30,700,000 + 26,000,000 = 56,700,000
That is, the total distance from Mercury to Earth is 56,700,000 miles.
5) Distance from Earth to Venus = 26,000,000 miles
Distance from Earth to Mars = 48,300,000 miles
48,300,000 - 26,000,000 = 22,300,000
That is, Venus is 22,300,000 miles closer to Earth than Mars.
6) Distance from Earth to Saturn = 793,800,000 miles
Distance from Earth to Mars = 48,300,000 miles
793,800,000 - 48,300,000 = 745,500,000
That is, Earth is 745,000,000 miles farther from Mars than Saturn.
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Simplify the polynomial, then evaluate for x = 2.
x+3x²+2x-3-4x²+6
x² + 3x + 9; 19
x² + 3x + 3; 5
-x² + 3x + 9; 11
O
O
-x² + 3x + 3; 13
Answers
Answer:
x^2 + 3x + 9 = (x + 3)(x + 3)
When x = 2, we have:
(2 + 3) * (2 + 3)
5 * 5
25
Cuál es el término de la decimotercera (13.a) posición?
2,−1,5,−3,8,−5
Answers
Answer:
Cuál es el término de la decimotercera (13.a) posición? 2,−1,5,−3,8,−5.
Step-by-step explanation:
Vamos a encontrar el patrón que se repite en la secuencia, y vamos a ver que el decimo tercer termino es 20.
¿Como encontrar el patron de esta secuencia?
Tenemos la secuencia:
2, -1, 5, -3, 8, -5
Tomando la diferencia entre terminos consecutivos obtenemos:
-1 - 2 = -3
5 - (-1) = 6
-3 - 5 = -8
8 - (-3) = 11
-5 - 8 = -13
Lo que podemos ver ahi es que la proxima vez que sumemos, tenemos que sumar 3 unidades mas de las que restamos antes, y cuando restemos, debemos restar dos unidades mas de lo que restamos antes, este es el patron.
Es decir, el proximo termino es:
-5 + 16 = 11
El proximo termino es:
11 - 18 = -7
Y así, los siguientes terminos son:
-7 + 21 = 14
14 - 23 = -9
-9 + 26 = 17
17 - 28 = -11
-11 + 31 = 20
Este ultimo es el treceavo termino.
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Lucas is selling ribbons to raise money for the Juvenile Diabetes Research Foundation. His expenses include $46 for materials, plus $0.02 per ribbon. If Lucas charges $0.25 per ribbon, how many ribbons does he need to sell to break even
Answers
Answer:
He needs to sell 200 ribbons to break even.
Step-by-step explanation:
The break even point is where the expenses are equal to the earnings, so you can write an expression that indicates that Lucas' expenses are equal to his earnings:
46+0.02x=0.25x
Now, you can solve for x to find the answer:
46=0.25x-0.02x
46=0.23x
x=46/0.23
x=200
According to this, the answer is that he needs to sell 200 ribbons to break even.
PLZZZZZZZZZ I NEED HELP PLZZ ANSWER IT RIGHT AND I WILL MARK BRAINLEST
Answers
Answer:
D
Step-by-step explanation:
Because 6.431 is in-between 6.4 and 6.5
Answer:
D): 6.4 and 6.5
Step-by-step explanation:
\({ \tt{6.4 < 6.431 < 6.5}}\)
Is anyone good with Math or History
Answers
The probability of passing at least one will be 0.70.
We know that,
Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
here, we have,
Probability of passing history course = 0.59
Probability of passing math course = 0.60
Probability of passing both courses = 0.49
so, we get,
Probability of passing at least one will be
⇒ 0.59 + 0.60 – 0.49
⇒ 0.70
More about the probability link is given below.
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complete question:
A student is taking two courses, history and math. the probability the student will pass the history course is 0.59, and the probability of passing the math course is 0.60. the probability of passing both is 0.49. what is the probability of passing at least one?
9. A has some amount of money with him. He gave one half of one third from that amount One half of the amount received by B is 20. What is the amount that A originally had?
Answers
Using the expression 5x/12 = 20, the amount that A originally had was $48.
We have,
Let x be the amount of money that A originally had.
Then, A gave away 1/2 x 1/3 = 1/6 of the amount, which is equal to x/6.
The amount received by B is 1/2 of the remaining amount,
which is (x - x/6)/2 = 5x/12.
We know that 5x/12 = 20,
Solving for x.
5x/12 = 20
5x = 240
x = 48
Therefore,
The amount that A originally had was $48.
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Does anyone know how to solve this?
Answers
Kayana used 4 packages of pencils, so she used 4p pencils in total for the first semester.
After that, she used 10 more pencils, so the total number of pencils she used is:
4p + 10
Therefore, the expression to represent the total number of pencils Kayana used is 4p + 10.
Work out the angle below
Answers
Answer:
56
Step-by-step explanation:
two of the angles are the same meaning the bottom two are 62. angles in a triangle add up to 180° so you just do 62 + 62 and then take the answer away from 180
62+62=124
180-124=56
Jackson is scuba diving on a hunt for sunken treasure. He dives down 450 meters, then gets nervous and
ascends back up 323.4 meters. After taking a minute to regain his condence, he then dives down another 101.1
meters. How far is he from the surface now?
Answers
Answer:
227.7
Step-by-step explanation:
450
-323.4
-----------------
126.6
126.6
+ 101.1
---------------------
227.7
Find the x - and y -intercepts of the graph of the linear equation -4x+8y=-16 .
The x -intercept is
.
The y -intercept is
.
Answers
Answer:
x -intercept is 4
y -intercept is -2
Step-by-step explanation:
SOLUTION:
(x -intercept)
-4x+8y= -16
-4x+8×0= -16
-4x+0= -16
-4x/-4 = -16/-4 (divide both sides by -4)
x=4
______________________
(y -intercept)
-4x+8y= -16
-4×0+8y= -16
0+8y= -16
8y/8 = -16/8 (divide both sides by 8)
y= -2
•| HOPE IT HELPS |•
In a pie eating contest, a
participant eats 4 pies in 15
minutes. At this rate, how many
minutes will it take the participant
to eat 20 pies?
Answers
Answer:
75 minutes
Step-by-step explanation:
Make an equation
4 pies to 15 minutes = 20 pies to x minutes
4 / 15 = 20 / x
Now cross multiply
4x = 15 × 20
And multiply 15 and 20
4x = 300
Then divide both sides by 4
x = 75
So your answer is 75 minutes
ASAP helppppppp
thank you:)
Answers
Answer:
i think it 4
Step-by-step explanation:
good luck ( think it's 4, not 100%)
:)
what is the slope intercept form of 4x+y=-3
Answers
Answer:
Step-by-step explanation:
-4x-3=y
The time it takes to charge the battery of a cell phone is directly proportional to the charge of the battery.
The equation, y = 0.21x, is used to approximate the time it takes to charge the battery of a cell phone.
Cell Phone Battery Charge
100
70
60
Bettery Charge (%)
SON
40
BO
20
NON
Time (AM)
Approximate how long it will take the battery to charge to 100%.
4 hours
7 hours
6 hours
5 hours
Please help me
Answers
Answer:
4 i believe
Step-by-step explanation:
Im so sorry if this is wrong and for being late
The time taken by the cell phone battery to charge 100% is 5 hours.
What is a linear equation?A linear equation is defined as a equation that has either one or two variables without exponents. A linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.
For the given situation,
The equation is y = 0.21x.
The time taken by the cell phone battery to charge to 100%,
⇒ \(100\% = 0.21x\)
⇒ \(100\%=1\)
Thus, \(1=0.21x\)
⇒ \(x=\frac{1}{0.21}\)
⇒ \(x=4.76\) ≈ \(5\)
Hence we can conclude that the time taken by the cell phone battery to charge 100% is 5 hours.
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Helpppppppppppppppppppp
Answers
On one day at a local minigolf course, there were 320 customers who paid a total of $2,900. If the cost for a child is $7 per game and the cost for an adult is $10 per game, write a system of equations to model this scenario, where x represents the number of children and y represents the number of adults who played that day.
7x + 10y = 2900
x + y = 320
7x + 10y = 320
x + y = 2900
10x + 7y = 2900
x + y = 320
10x + 7y = 320
x + y = 2900
Brainiest for correct answer
Answers
A system of equations to model this scenario is given as follows -
x + y = 320
7x + 10y = 2900
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.The general equation of a straight line is → y = mx + c{m} - slope {c} - intercept along the y - axis.
Given is that on one day at a local minigolf course, there were 320 customers who paid a total of $2,900. The cost for a child is $7 per game and the cost for an adult is $10 per game.
Let {x} represents the number of children and {y} represents the number of adults who played that day. We can write the given system of equations as -
x + y = 320
7x + 10y = 2900
Therefore, a system of equations to model this scenario is
x + y = 320
7x + 10y = 2900
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A juice box has a length of 2 inches, a width of 1 inch, and a height of 4 inches. What is the volume of the juice box?
Answers
Answer:
8 in
Step-by-step explanation:
L × W × H = V2 × 1 × 4 = 8 inI hope this helps!
Connie can clean her house in 3.5 hours. If Alvaro helps her, together they can clean the house in 1 hour and 40 minutes. How long would it take Alvaro to clean the house by himself?
Answers
Answer:
1 hour and 50 minutes
Step-by-step explanation:
Time Connie takes to clean the house: 210 minutes
Time takes for both of them at the same time: 100 minutes.
210 - 100 = 110 minutes
Therefore, Alvaro takes one hour and 50 minutes to clean the house by himself.
Answer:Alvaro can clean the house alone in approximately 3.89 hours.
Step-by-step explanation:
If Connie can clean her house in 3.5 hours, then her rate of work is 1/3.5 of the house per hour. Together, Connie and Alvaro can clean the house in 1 hour and 40 minutes, or 1.67 hours.
To find how long it would take Alvaro to clean the house alone, we can use the formula:
combined rate of work = sum of individual rates of work
So, (1/3.5 + 1/a) * 5/3 = 1, where "a" is the time it takes Alvaro to clean the house alone.
Simplifying the equation, we get 1/a = 9/35, which means that Alvaro can clean the house alone in approximately 3.89 hours (or 3 hours and 53 minutes).
carpet is sold in square yards how much carpet would a person need to buy for a rectangle that has dimensions of 10 yards by 18 feet
Answers
A person would need to buy 60 square yards of carpet for a rectangular room with dimensions of 10 yards by 18 feet.
How to determine the amount of carpet needed for a rectangular room?
To determine the amount of carpet needed for a rectangular room, you need to convert the measurements to the same unit of measurement. Since the carpet is sold in square yards, we need to convert the dimensions of the room to yards.
The length of the room is given in yards, so we don't need to make any conversions for that dimension. However, the width of the room is given in feet, so we need to convert it to yards by dividing by 3 (since there are 3 feet in a yard),
18 feet ÷ 3 feet/yard = 6 yards
So the dimensions of the room in yards are 10 yards by 6 yards.
To find the total area of the room, we need to multiply the length and width,
10 yards × 6 yards = 60 square yards
Therefore, a person would need to buy 60 square yards of carpet for a rectangular room with dimensions of 10 yards by 18 feet.
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Please help me ans this question
Answers
After simplification, the value of expression is, (x + 1) / (2x - 1).
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
The expression is,
⇒ 10x² + 10x / 20x² - 10x
Now, We can simplify as;
⇒ (10x² + 10x) / (20x² - 10x)
⇒ 10x (x + 1) / 10x (2x - 1)
⇒ (x + 1) / (2x - 1)
Thus, The value of expression is, (x + 1) / (2x - 1).
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(1). What is the side of the largest square that can be cut off from a rectangle typing sheet measuring 50 cm by 75cm ? (2). If Ais equal to 2 to the third power times 3 to the second power times 5 to the second power and (B) equal 2to the second power times 3 to the third power times 5 , what is the LCM of A &B ?
Answers
The side of the largest square that can be cut off from a rectangle typing sheet measuring 50cm by 75cm is; 50 cm side square.
The lowest common multiple, LCM of A and B is; 2³ × 3³ × 5².
1. Reactangles and SquaresThe given rectangle measures; 50 cm by 75cm.
In essence, the side of the largest square that can be cut off from the rectangle typing sheet is; 50 cm2. Concept of LCM.According to the question;
A is equal to 2 to the third power times 3 to the second power times 5 to the second power and (B) equal 2to the second power times 3 to the third power times 5.Therefore;
A = 2³ × 3² × 5²B = 2² × 3³ × 5.From observation, The lowest common multiple of A and B is; 2³ × 3³ × 5².
In this manner, Both A and B are factors of 2³ × 3³ × 5².
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How do you get 99 using four 4s?
Answers
Step-by-step explanation:
i think you have to do 4 4 times im not sure sorry hopes it help
Therefore you get 99.
3 to 2 if there are 120 children who like pizza, how many total
Answers
Answer:
320
Step-by-step explanation:
Is the 3 to 2 part to part? Out of every 5 people, 3 prefer pizza and 2 do not. We can us this to set up a proportion.
3/5 = 120/x The 3 represent the part that like pizza over the whole of 5. The second ratio is showing the actual number of people that liked pizza over the total number of people.
What would be multiply 3 by to get 120? 40. So, we will multiply 5 times 40 to get the total number of people. 5 x 40 = 200
Help PLEASE!!! Math Final. ASAP!!!!!!!!!!!!
Answers
cuanto es 1 mas 1? dende ecuaciones y detalles es para mi examen virtual please
Answers
Answer:
2
Step-by-step explanation:
1+1=2