Determine whether it is possible to draw a triangle with sides having the given measures. If possible, write yes. If not possible write no and make a sketch demonstrating why it isn’t possible
Answer: No, it is not possible to form a triangle with these side lengths.
The sketch is provided below
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Explanation:
The triangle inequality theorem says that the sum of any two sides must be larger than the third side.
But notice that 5+6 = 11 which is not larger than 12.
I recommend cutting out slips of paper that are 5 inches, 6 inches and 12 inches long. You can also use software to get the job done, which is what I did. You should see that it is impossible to form a triangle. If you place the 5 inch and 6 inch slips on either end of the 12 inch portion, then you should see the we effectively have an open-ended "triangle". I'm putting it in quotes because we don't have a triangle forming, but instead what looks to be an incomplete version of it.
The sketch of what I'm referring to is shown below. I used Geogebra to make the drawing. Imagine the red and blue segments able to swing freely while the green horizontal segment stays completely still. No matter how the red and blue segments rotate, they will never meet up to form a triangle.
The dashed circles show the range of motion that is possible for each swinging red and blue segment. If the red and blue segments lay perfectly on top of the green segment, they add to 5+6 = 11, which comes up short of the 12 inch segment.
No, it is not possible to draw a triangle with sides measuring 5ft, 6ft, and 12ft.
What is a Triangle?The polygon known as a triangle has three sides and three vertices.
The triangle's total angle is 180 degrees.
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
The reason is that according to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
However, in this case, 5ft + 6ft = 11ft, which is less than the length of the third side, 12ft.
Therefore, a triangle cannot be formed with these side lengths.
To demonstrate why it isn't possible, you can draw a line segment of length 12ft and label it as the third side of the triangle.
Then, try to draw the other two sides (5ft and 6ft) originating from the same endpoint as the 12ft side.
You will notice that the two sides will never meet to form a triangle, since they are too short to bridge the gap between the two endpoints of the 12ft side.
To learn more about the triangle;
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The ratio of boys to girls is 4 to 7. If there are 32 boys, then how many girls?
Answer:
There are 56 girls
Step-by-step explanation:
32/4 =8
7 x 8= 56
Answer:
56 girls
Step-by-step explanation:
B:G is 4:7. 32 boys so multiply by 8. 7*8 is 56, so its 56 girls
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Quien me ayuda por favor dime gracias
BIG POINT
Describe the significance of the unit circle to Trigonometry. Make connections to solving, graphing, identities, and other key concepts included in this course. Provide at minimum of 4 connections with an explanation of the connections.
Write in paragraph please.
Answer: (compiled from google)
One radian is the measure of the central angle of a circle such that the length of the arc is equal to the radius of the circle.
A full revolution of a circle ( 360 ∘ ) equals 2 π r a di a n s. This means that 1 radian = 180 ∘ π .
The formula used to convert between radians and degrees is angle in degrees = angle in radians ⋅ 180∘ π .
The radian measure of an angle is the ratio of the length of the arc to the radius of the circle ( θ = sr ) . In other words, if s is the length of an arc of a circle, and r is the radius of the circle, then the central angle containing that arc measures radians.
Key Terms
arc: A continuous part of the circumference of a circle.
circumference: The length of a line that bounds a circle.
radian: The standard unit used to measure angles in mathematics. The measure of a central angle of a circle that intercepts an arc equal in length to the radius of that circle.
The x – and y -coordinates at a point on the unit circle given by an angle
t are defined by the functions x = cos t and y = sin t .
Although the tangent function is not indicated by the unit circle, we can apply the formula
tan t = sin t cos t to find the tangent of any angle identified.
Using the unit circle, we are able to apply trigonometric functions to any angle, including those greater than 90 ∘ .
The unit circle demonstrates the periodicity of trigonometric functions by showing that they result in a repeated set of values at regular intervals.
Key Terms
periodicity: The quality of a function with a repeated set of values at regular intervals.
unit circle: A circle centered at the origin with radius 1.
quadrants: The four quarters of a coordinate plane, formed by the x – and y -axes.
If this doesn't help I appologize
i need help with this ^
Answer:
I think it's 3
Step-by-step explanation:
If 2 is c than subtract it and it's 3?
10^7+9+1^3 helppp meeee
Answer:
10000010
Step-by-step explanation:
10^7 is 10000000 plus 9 plus 1^3 which is 1.
10000000+9+1=10000010
Answer:
10000010
Step-by-step explanation:
Lets break down this problem. 10^7 is equal to 10000000 because the exponent is 7 so we add 7 zeros at the end of 1. 1^3 is equal to 1 because any 1 to the power of a positive integer is 1. So, the equation becomes 10000000+9+1 which is equal to 10000010.
3x * -2y= -100
Solve for y and x.
Answer:
x=50/3y
y=50/3x
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Please help asap. Thank you!
Answer:
number 2
Step-by-step explanation:
tell me the answer after you finshe
Answer:
2nd option
Step-by-step explanation:
[tex]\frac{2}{3.25}=\frac{x}{6.5}[/tex]
Maria's dog weighs 8 times as much as her rabbit. Together they weigh 81 pounds. How much does the dog Weigh?
Create Write a real-world problem that can be
solved using the equation 9 + 4x = 21 - 2x
The required real-world problem is below that can be solved using the equation.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
A construction company is building a new housing development and wants to know how many houses they need to build to reach a certain profit margin. They know that each house costs $9 to build and they want to sell each house for $21.
If they build x number of houses, the equation to calculate their profit is:
21x - (4x + 9) = profit.
To reach a certain profit margin, the company can set that equation equal to a specific value and solve for x.
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what is equivalent to 3:9
Answer:
1:3
Lowest possible simplification.
Answer: 1/3
Step-by-step explanation: If you divide 3 by 3, and 9 by 3, you get 1/3.
At a store, 3 pieces of cake and 4 pieces of bread together
cost $18.60. The total cost of 2 pieces of cake and 2 glasses of
juice is $12.34. If one piece of cake costs 2 times as much as
one piece of bread, what is the total cost of 5 pieces of cake
and 4 glasses of juice? Include two decimal places in your
answer. For example if the answer is $12 enter it as $12.00.
9514 1404 393
Answer:
$28.40
Step-by-step explanation:
Using the given information, we can write three equations relating the three item prices. Let c, b, and j represent the cost of 1 item each of cake, bread, and juice.
3c +4b = 18.60
2c +2j = 12.34
c = 2b
Multiplying the third equation by 2 gives an expression for 4b that we can substitute into the first equation.
2c = 4b
3c +2c = 18.60
c = 18.60/5 = 3.72
Doubling the second equation almost gives us the purchase we want.
2(2c +2j) = 2(12.34)
4c +4j = 24.68
Adding one more cake to this give the desired purchase:
(4c +4j) +c = 24.68 +3.72
5c +4j = 28.40
The total cost of 5 pieces of cake and 4 glasses of juice is $28.40.
What is the ratio of 5
footballs to 9 Baseballs
Answer:
5:9 If that's what you meant
Step-by-step explanation:
Answer:
5:9
Step-by-step explanation:
Ratio is as follows
n1 to n2 = n1:n2
Therefore,
5 footballs to 9 baseballs = 5:9
Hope this helps :)
What is the Pythagorean Theorem?
a.
a2 + b2 = c2
b.
x + y = z
c.
a + b = c
d.
y = mx + b
Answer:
a squared plus b squared=c squared. The answer is A.
Step-by-step explanation:
Hope I helped!
Please mark Brainliest!!!
Answer:
A. The Pythagorean Theorem is A² + B² = C²
Step-by-step explanation:
I hope that this helps! :)
Help fast! Will give brainliest!!!
Answer:
Jacki did not subtract 12 from 8 correctly i believe
Kiley had a piece of bamboo skewer that measured 14 inches long. She wanted to cut it into toothpicks that were each 3 inches long. How many toothpicks can she make?
4 toothpicks
5 toothpicks
46 toothpicks
47 toothpicks
Answer:
4 toothpicks
Step-by-step explanation:
14 / 3 = 4.66666
Tootpicks can't be rounded up so it'll just be 4
Are these rational or irrational? Please help ASAP!
Answer:
√25 is a rational number
√1 is rational number
√7 is irrational number
Step-by-step explanation:
first one is √25
=√25
=√5² ( 25 is the square of 5)
= 5
another one is √1
= √1
=√1² ( 1 is the square of itself)
= 1
last one is √7..... and it is irrational
A circle is centered at the point (5,-4) and passes
Answer:
it is c
Step-by-step explanation:
You have to line up the graph and see then your gonna wanna solve it from there hope this helps
Kayla hikes 25 meters in 13.7 seconds. Which of the following closest to how far she will hike in 6 minutes, if she maintains the same pace
Answer:
197.28 meters in 6 minutes
Step-by-step explanation:
13.7 seconds ÷ 25 meters = 0.548 meters in 1 second
6 minutes = 360 seconds (6 minutes x 60 seconds in every minute = 360 seconds)
0.548 meters in 1 second x 360 seconds = 197.28 meters in 6 minutes
Hopefully this helped! Sorry if wrong. You are loved and you are beautiful/handsome!
-Bee
what is the probability of getting an A and then a 2?
Answer:
it would techically be a 50/50 chance of getting either an A or a 2
Find the slope of the line
Answer:
C. -3/4
Step-by-step explanation:
The Slope is always rise over run or
rise
___
run
so with X you rise up 3 and Y, you run down 4 so the slope is C.
-3/4
The delivery fee is $35 plus rental fee of $10 per hour find x the number of hours jasmine parents can rent the snow cone machine and spend $80 or less
Answer:
They can rent it for 4 hours.
Step-by-step explanation:
35+10x4
Answer:
4 1/2 hours
Step-by-step explanation:
you start with $35 and then add 10 per hour so
10x4=40+5(this 5 comes from the 1/2) =45+35= $80
* just put 4 hours if you cant use a fraction
ctice
Select the correct answer.
The weight of a baby every month since birth is indicated by segments A, B, and C on the graph below.
Weight of Baby
25
20
С
Weight (pounds)
15
B
10
А
5
10
2 4 6 8
Age (months)
Select the segments in the correct order from the least to greatest rate of increase in the weight of the baby
B, C, A
A, B, C
C,
BA
С, А, В
Answer:
C,B,A
Step-by-step explanation:
The segments that would correctly show the sequence of the baby's increase in weight would be as follows:
C). C, B, A
What is a graph?A graph is characterized as a visual display of a particular set of data for a better understanding of the readers.
As per the given data, the baby's gain of weight would range in descending order i.e. C, B, A.
The weight changed or increased as the baby turned older from 2 to 4 to 6 to 8 months old.
Thus, option C is the correct answer.
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3/4x+2=5/12 rewite so there’s no fractions
Answer:
3/4 and 2/5 have a common denominator of 20, so re-write
15/20x - 2 = 8/20 Now multiply both sides by 20
15x-40 = 8
Step-by-step explanation:
Please help with both and leave a small explanation! I wanna double check my answers!
Answer:
(1)Hoops shadow would be 6 ft (2) model would be 3 cms
Step-by-step explanation:
9 / 3 = 3 3 x 2 = 6 ft
15 / 5 =3 3 x 1 = 3 cm
what is the slope and y-intercept of 5x + y =6
Answer:
y int is 6
the slope is -5
Step-by-step explanation:
you write the equation out to slope intercept form, which is y=-5x+6
-5 is the slope because thats the transformation x goes through
6 is the constant which is the y intercept
Write the next three terms in each sequence. Make sure your
answers are separated by a comma and a space; like 1, 2, 3
25, 26, 27, 28, ...
Answer:
29,30,31
this is basically like counting just add 1
Can anyone help me please? I’ll give brainliest
Answer:
Step-by-step explanation:
2x + 1 = 1/2 x 18 ( by mid pt theorem )
2x + 1 = 9
2x = 8
x = 8 / 2
x = 4
Hope this helps
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Which point is a reflection of Z(5 1/2,3) across the y axis
Answer: C?
Step-by-step explanation:
Because reflecting means like think of a mirror it’s reflecting you so the opposite side would be the bottom right quadrant please tell me if I’m right?
Please help me:) i will give brainliest to the right answer<3
Answer:
The answer is does
Step-by-step explanation:
Answer: I believe it's "does not."
Step-by-step explanation:
But I'm sorry if I'm wrong!!