Answer:
19, 16, 20
Step-by-step explanation:
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.
Aka the highest number - the next highest number = lowest possible number.
3+4 is not greater than 8.
8 + 11 is not greater than 19.
5 + 5 is not greater than 11.
16+19 is greater than 20.
19+20 is greater than 16.
16+ 20 is greater than 19.
the set of numbers that could represent the lengths of the sides of a triangle is D. {19, 16, 20}.
To determine if a set of numbers can represent the lengths of the sides of a triangle, we need to apply the triangle inequality theorem. According to the theorem, for a triangle with side lengths a, b, and c:
a + b > c
a + c > b
b + c > a
Let's evaluate each set of numbers:
A. {3, 4, 8}
3 + 4 > 8 (7 > 8) - Not true
4 + 8 > 3 (12 > 3) - True
3 + 8 > 4 (11 > 4) - True
Since the first inequality is not true, set A cannot represent the lengths of the sides of a triangle.
B. {8, 11, 19}
8 + 11 > 19 (19 > 19) - Not true
8 + 19 > 11 (27 > 11) - True
11 + 19 > 8 (30 > 8) - True
Since the first inequality is not true, set B cannot represent the lengths of the sides of a triangle.
C. {11, 5, 5}
11 + 5 > 5 (16 > 5) - True
11 + 5 > 5 (16 > 5) - True
5 + 5 > 11 (10 > 11) - Not true
Since the third inequality is not true, set C cannot represent the lengths of the sides of a triangle.
D. {19, 16, 20}
19 + 16 > 20 (35 > 20) - True
19 + 20 > 16 (39 > 16) - True
16 + 20 > 19 (36 > 19) - True
All three inequalities are true for set D, so it can represent the lengths of the sides of a triangle.
Therefore, the set of numbers that could represent the lengths of the sides of a triangle is D. {19, 16, 20}.
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Will give brainliest answer
Answer:
A = 3.13841
Step-by-step explanation:
Circumference: C = 2πr
Area of a Circle: A = πr²
Step 1: Find r using circumference formula
6.28 = 2πr
r = 6.28/2π
r = 0.999493
Step 2: Plug in r in area formula
A = π(0.999493)²
A = 3.13841
Answer:
3.52
Step-by-step explanation:
6.68 = c
6.68/2 = 3.34
3.34/3.14 = 1.06
1.06^2 * 3.14 = 3.52
When graphing any equation what is a great fall back plan if you can't remember the learned procedure? (on all kinds of equations - some with x squared, x cubed etc)
Answer:
GOOGLE :)
equation:
y=mx+b
m= slope (how steep the line is(negative is \ positive is /))
b= y intercept (where it is on the vertical line(up and down line))
step by step
1. locate y intercept and plotthe point
2.from that point use slop to find second point and plot
I already completed part 1 as pictured, I need help solving part 2. Part 2: (c) How many new homes were completed in the 12-month period through January 2011, and how did that compare to the number of new homes started in 2010? If necessary, round your answer to the nearest whole number. In the 12 month period through January 2011, there were 423,831 new homes completed, which was _________ fewer OR more than the number of new homes in 2010.
Answer:
423,831104,840 fewerStep-by-step explanation:
Given:
281,000 homes sold through Jan 2011 was 66.3% of homes completed
378,000 homes was a 28.5% decrease from starts in 2010
Find:
(i) Homes completed in 12 months through Jan 2011
(ii) Comparison to homes started in 2010
Solution:
(i) Using the given relation, we can find homes completed through Jan 2011.
281,000 = 0.663×completed
completed = 281,000/0.663 = 423,831
__
(ii) Similarly, we can find the number of 2010 starts:
starts(1 -28.5%) = 378,000
starts = 378,000/0.715 = 528,671
The relation of completions in 2011 to starts in 2010 is ...
423,831 -528,671 = -104,840
__
Through Jan 2011, there were 423,831 homes completed, which was 104,840 fewer than the number of starts in 2010.
_____
Comment on your question
Your problem statement supplies the answer to the first question in 2(c). Part 1(b) tells you the relation between starts in 2011 and in 2010, so you can easily figure starts in 2010 from your answer to that question.
Evaluate:-|137|+|13|
Answer:
The answer is 150
Step-by-step explanation:
I think what you mean with the numbers between the "I's" is absolute value. Any number is just that number, so the absolute value of -6, is 6. The absolute value of 24 is 24. That means it's simply 137+13, which is 150.
Find the area of each circle, use 3.14 round to the hundredth place diameter 44.4
Answer:
A = 1547.52
Step-by-step explanation:
Area of Circle Formula: A = πr²
Simply find r and plug it in:
d = 44.4
r = d/2 = 44.4/2 = 22.2
A = π(22.2)²
A = 1547.52
Check out the photo for the question
Answer:
50
Step-by-step explanation:
42/n³∑k²+12/n²∑k+30/n∑1
=42/n³[n(n+1)(2n+1)/6]+12/n²[n(n+1)/2]+30/n [n]
=7n(n+1)(2n+1)/n³+6n(n+1)/n²+30
=7(n+1)(2n+1)/n²+6(n+1)/n+30
=[7(2n²+3n+1)+6(n²+n)+30n²]/n²
=[14n²+21n+7+6n²+6n+30n²]/n²
=[50n²+27n+7]/n²
=[50+27/n+7/n²]
→50 as n→∞
because 1/n,1/n²→0 as n→∞
Answer:
B. 50
Step-by-step explanation:
[tex]\displaystyle S_n=\sum_{k=1}^n{\left(k^2\dfrac{42}{n^3}+k\dfrac{12}{n^2}+\dfrac{30}{n}\right)}\\\\=\dfrac{42}{n^3}\sum_{k=1}^n{k^2}+\dfrac{12}{n^2}\sum_{k=1}^n{k}+\dfrac{30}{n}\sum_{k=1}^n{1}\\\\=\dfrac{42n(n+1)(2n+1)}{6n^3}+\dfrac{12n(n+1)}{2n^2}+\dfrac{30n}{n}\\\\=14+\dfrac{21}{n}+\dfrac{7}{n^2}+6+\dfrac{6}{n}+30=50+\dfrac{27n+7}{n^2}[/tex]
As n gets large, the fraction disappears, so the limit is 50.
What is the interior angle measure of a convex decagon?
Answer:
The interior angle measure of a convex decagon is 144.
Step-by-step explanation:
The sum of the interior angle formula for a convex polygon is (n-2)180
where n is the number of sides.
A decagon has 10 sides.
10-2 = 8
8 times 180 = 1440
A decagon has 10 sides-10 angles.
To find the measure of each angle divide by 10.
1440/10=144
The interior angle measure of a convex decagon is 144.
help asapppp....thanks
Answer:
a) -8x^3 + x^2 + 6x
b)16x^2 -9
c) 24x^4 + 37x^3 +13x^2 -18x
Step-by-step explanation:
a) distribute -2x to x and 4x^2 then do the same for the other part and then add the ones w the same exponent.
b) do foil ( multiply first outside inside last) which will be 4x times 4x then 4x times 3 then -3 times 4x and 3 times -3. add like exponents
c) do the same as above
multiply your income by 2 to get your monthly income: $900
Answer:
monthly income=$900
the monthly income was multipled by 2
so, real income was, $900/2
=$ 450
so, $450×2=$900...
The real income is $400.
MultiplicationThe term multiplication refers to the product of two or more than two numbers.
How to find real income?Let us assume that the real income is x.
We have to multiply the real income by 2 to get the monthly income of $900.
This implies that [tex]x\times 2=\$900[/tex],
Solving the above expression, we will get
[tex]x\times 2=\$900\\x=\dfrac{900}{2} \\x=400[/tex]
So, the real income is $400.
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Cereal costs 2.79 for 16.4 ounces. At this rate how much does 25 ounces of cereal cost? Round to the Nearest Cent.
Answer:
$4.25
Step-by-step explanation:
We can create a proportion to find how much 25 oz will cost:
[tex]\frac{2.79}{16.4}[/tex] = [tex]\frac{x}{25}[/tex]
We can cross multiply to find x.
16.4x = 69.75
x = 4.25
So, this means 25 ounces of cereal will be $4.25
Nina had 17 marbles in a bag. Her mother put a handful of marbles in the bag. When Nina counts her marbles, she discovers she now has 34 of them. Which of the following equations will help Nina solve for the number of marbles, m, that her mom put in the bag? 17 + 34 = m 17 + m = 34 17m = 34 m − 17 = 34
Answer:
17+m=34
Step-by-step explanation:
Nina had 17 marbles in a bag + the x amount of marbles that her mom gives her.
so 17+x=34
(x is the variable that I chose however it could be any variable, so it would also mean the same thing as 17+m=34)
Hope this helped!
Answer:
17 + m = 34.
Step-by-step explanation:
Nina had 17 marbles;
Mother put a handful of marbles, let's say m.
Now Nina has 34 marbles.
34 marbles is [=] 17 marbles Nina had before + m from her mother.
17 + m = 34 will be the right equation.
17 + 34 = m — wrong;17 + m = 34 — right;17m = 34 — wrong;m - 17 = 34 — wrong.You are asked to lift something that is 15 kg. How many pounds is it? lbs
Answer:
33.0693394
Step-by-step explanation:
1 klio is 2.20462262,just mulipily by 15.
Two similar circles are shown. The circumference of the larger circle, with radius OB, is 3 times the circumference of the smaller circle, with radius OA. Two circles are shown. The smaller circle has radius O A and the larger circle has radius O B. Radius OB measures x units. Which expression represents the circumference of the smaller circle with radius OA?
Answer:
{2 pi/3}x units
Step-by-step explanation:
i got it right on edg
Answer: Option B
{2 pi/3}x units
Step-by-step explanation:
Not sure of how I would solve this
Plz help thank you so much if you do The supplement of an angle is 30 degrees larger than twice its complement. Find the angle. A. 20 degrees B. 30 degrees C. 25 degrees D. 35 degrees Four times the complement of an angle is 9 degrees more than the supplement of the angle. Find the angle. A. 33 degrees B. 57 degrees C. 53 degrees D. 37 degrees
Answer: B) 30 degrees
Step-by-step explanation:
Look at this in a series of equations. The supplement of an angle(x) is 180 - x. The complement of an angle(x) is 90 - x. Thus the supplement of an angle(180 -x) is 30 degrees larger than twice its complement(90 - x). Thus, 180 - x = 30 + 2(90 - x)
180 - x = 30 + 180 - 2x
180 - x = 210 - 2x
x = 30
Answer: B) 57 degrees
Step-by-step explanation:
4(90-x) = 180 - x + 9
360 - 4x = 180 - x + 9
360 - 4x = 189 - x
360 = 189 + 3x
171 = 3x
57 = x
Hope it helps <3
(If it does, please mark brainliest, so close to next rank :) )
helppppppppppppppp asap its cordinates
Answers from top to bottom:
(0,-6)
(-1,0)
(-1,-6)
(0,0)
Explanation:
The rule you use is [tex](x,y) \to (-x,-y)[/tex] when it comes to 180 degree rotations (either clockwise or anticlockwise/counterclockwise). So we flip the signs of the x and y coordinates. Any point on an axis will stay on the same axis. The origin is the intersection of the two axes, so this point does not move at all. We call this point fixed or stationary. The fixed point is one where every point rotates around it.
An apple has a mass of 150g and a volume of 100cm³ Find its density in g/cm3? pls help
Answer:
1.5 g/cm³
Step-by-step explanation:
Density is g/cm³. This means that you have divide the mass by the volume.
(150 g)/(100 cm³) = 1.5 g/cm³
The density of the apple is 1.5 g/cm³.
Answer:
[tex] \boxed{\sf Density = 1.5 g/cm^3} [/tex]
Given:
Mass (m) = 150 g
Volume (V) = 100 cm³
To Find:
Density in g/cm³
Step-by-step explanation:
[tex]\sf Density = \frac{Mass (m)}{Volume (V)} \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{15 \cancel{0}}{10 \cancel{0}} \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{15}{10} \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 1.5 \: g/cm^3 [/tex]
13r = 182 please explain
Answer:
r = 14
Step-by-step explanation:
We need to divide the equation by 13 so that we get just n one one side without any coefficients. Doing so we get r = 182 / 13 = 14.
Answer:
r = 14
Step-by-step explanation:
Well to find r we need to get it by itself and to do that we get rid of 13.
And to get rid of 14 we do 13r/13 and 182/13.
So 13r / 13 is r and 182/13 is 14.
So r = 14.
• A researcher claims that the average wind speed in a certain city is 8 miles per hour. A sample of 32 days has an average wind speed of 8.2 miles per hour. The standard deviation of the population is .6 miles per hour. At 5% level of significance is there enough evidence to reject the claim?
Answer:
Not reject null hypothesis since the p value is greater than 0.05
Step-by-step explanation:
We have the following:
z = (x ^ -m) / (sd / n ^ (1/2))
Let m be the mean that is 8, sd the standard deviation that is 0.6, n the sample size that is 32 and x the value to evaluate that is 8.2, replacing:
z = (8.2-8) / (0.6 / 32 ^ (1/2)) = 1.89
P (x> 8.2) = P (z> 1.89)
P (x> 8.2) = 1 - P (z <1.89)
We look for this value in the attached table of z and we have to:
P (x> 215) = 1 - 0.9713 (attached table)
P (x> 215) = 0.0287
since this is a two tailed test, the area of 0.0287 must be doubled the p value
the p value = 0.05794
Therefore, the decision is to not reject null hypothesis since the p value is greater than 0.05
A die is rolled 7 times. Find the probability P(of exactly 5 occurrences of 5). a. 0.09% c. 0.08% b. 3.04% d. 0.19%
Answer:
I believe it might be d but I'm not sure, sorry hope I could help
6th grade math , help me please :)
Answer:
A= 20x
B= 15n
C= 15x+ 9
D= a + 15
E= 9x + 3y
F= 10w + 10z
Step-by-step explanation:
what is the solution to this system of equations? I WILL GIVE 5 STARS ND BRAINLIEST
Answer:
(2, 6)
Step-by-step explanation:
The solution will be where the two lines intersect. From the graph, that point is (2, 6).
An urn contains 11 balls, 3 white, 3 red, and 5 blue balls. Take out two balls at random, without replacement. You win $1 for each red ball you select and lose a $1 for each white ball you select. Let X be the random variable that notes the amount you win. Find the probability mass function (p.m.f.) of X.
Given: An urn contains 11 balls, 3 white, 3 red, and 5 blue balls.
You win $1 for each red ball you select and lose a $1 for each white ball you select.
Let X be the number of times you win.
The total number of ways to select 2 balls (order does not matter) =
The number of ways so that two balls are white (and [tex] X=-2):^3C_2=3 [/tex]
[tex]P(X=-2)=\dfrac{3}{55}[/tex]
The number of ways so that two balls are red (and [tex] X=2):^3C_2=3 [/tex]
[tex]P(X=2)=\dfrac{3}{55}[/tex]
The number of ways so that one ball is red, one is white (and [tex] X=0):^3C_1\times^3C_1=9 [/tex]
The number of ways so that two balls are blue (and [tex] X=0 [/tex] ): [tex] ^5C_2=(5 \cdot 4) / 2=10 [/tex]
i.e. [tex]P(X=0)=\dfrac{10+9}{55}=\dfrac{19}{55}[/tex]
The number of ways so that one ball is blue, one is white (and [tex] X=-1 [/tex] ): [tex] ^5C_1\times^3C_1=15 [/tex]
[tex]P(X=-1)=\dfrac{15}{55} =\dfrac{3}{11}[/tex]
The number of ways so that one ball is blue, one is red (and [tex] X=1 [/tex] ): [tex] ^5C_1\times^3C_1=15 [/tex]
[tex]P(X=1)=\dfrac{15}{55} =\dfrac{3}{11}[/tex]
Thus, the probability mass function (p.m.f.) of X would be ( in attachment) :
The tree house will be 8 feet off the ground. Peter will hang a rope, with knots tied for foot holds. Each knot uses an additional 2 inches of rope. Write an expression for the length of the rope needed if Peter ties n knots and wants the rope to touch the ground. How many inches of rope are needed if there are 8 knots? Explain.
Answer:
Step-by-step explanation:
The answer is 56.
Answer:
The tree house is 8 feet off the ground, or 96 inches up because (8)(12) = 96. Each knot needs 2 extra inches, so the expression for the length of rope needed is 96 + 2n. If n = 8, then Peter will need 96 + 2(8) = 112 inches of rope.
Step-by-step explanation:
edge
www.g "You roll a fair six-sided die twice. Find the probability of rolling a 4 the first time and a number greater than 3 the second time."
Help ASAP! Which of the functions listen has the same graph as x + y = 11??
Answer:
f(x)=-x+11
Step-by-step explanation:
How can you write arithmetic and geometric sequences using recursive and explicit formulas modeled in a real world context?
Answer:
The answer is below
Step-by-step explanation:
They would be written like this:
Arithmetic Progression:
Explicit formula
Tn = a + (n-1) * d
Recursive formula
Tn = Tn-1 + d
Where a is the first term, d is the common differance and n is the number of terms.
Geometric Progression:
Explicit formula
Tn = a * r ^ (n-1)
Recursive formula
Tn = Tn-1 * r
Where r is common ratio
A particle moves along line segments from the origin to the points (2, 0, 0), (2, 5, 1), (0, 5, 1), and back to the origin under the influence of the force field F(x, y, z)
Find the work done.
Answer:
Work done = 0 J
Step-by-step explanation:
work done= ∫ F. dr
= [tex]\int\limits^2_0 {x} \, dx[/tex] + [tex]\int\limits^2_2 {x} \, dx[/tex] + [tex]\int\limits^0_2 {x} \, dx[/tex] + [tex]\int\limits^0_0 {x} \, dx[/tex] + [tex]\int\limits^0_0 {y} \, dy[/tex] + [tex]\int\limits^5_0 {y} \, dy[/tex] + [tex]\int\limits^5_5 {y} \, dy[/tex] + [tex]\int\limits^0_5 {y} \, dy[/tex] + [tex]\int\limits^0_0 {z} \, dz[/tex] + [tex]\int\limits^1_0 {z} \, dz[/tex] + [tex]\int\limits^1_1 {z} \, dz[/tex] + [tex]\int\limits^0_1 {z} \, dz[/tex]
Work done= x²/2 + y²/2 + z²/2
Applying integral limits for entire pathway
Work done= 2 + 0 -2 + 0 + 0+ 25/2 - 25/2 + 0 + 1/2 + 0 - 1/2
Work done = 0 J
4 − –5f = –66 f = _______
Answer:
f = -14
Step-by-step explanation:
given:
4 − (–5f) = –66
4 + 5f = -66 ( subtract 4 from both sides)
5f = -66 - 4
5f = -70 (divide both sides by 5)
f = (-70) / 5
f = -14
Two intersecting lines l and m form an angle of 56° with each other. The reflection of a point (–4, 1) along the line l followed by a reflection along line m will cause a ________ rotation. Question 18 options: A) 56° B) 112° C) 180° D) 28°
Answer:
B) 112°
Step-by-step explanation:
After the double reflection the point is effectively rotated by an amount that is double the angle between the lines of reflection:
2·56° = 112°
_____
In the attached, lines l and m are separated by 56°, as required by the problem statement.