Não, não podemos fazer um triângulo com os comprimentos dos lados de 2 cm, 3 cm e 10 cm. Isso ocorre porque a soma de 2+3 < 10. (in english: No, we cannot make a triangle with the side lengths of measurement 2 cm, 3 cm, and 10 cm. This is because sum of 2+3 < 10).
What is triangle inequality theorem?Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.
Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,
[tex](a+b) > c\\(b+c) > a\\(c+a) > b[/tex]
Now, for this case, the sides given are:
a =2 cm,b = 3 cm,and c = 10 cmBut we see that:
a+ b = 5 cm which is < c which is of 10 cm.
Thus, these lengths don't satisfy the triangle inequality theorem, and therefore, cannot be sides of any triangle.
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PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
C. 1/4
Step-by-step explanation:
Step 1
Make the fraction denominators the same!
1/2 will become 4/8 over here, and 2/8 is already good!
Step 2
Subtract the new fractions!
4/8 - 2/8 is easy! It's 2/8
Step 3
Simplify the answer (2/8)
2/8 will become 1/4 when simplified
Hence, the final answer is 1/4or C
If you do these 2 problems you get 100 points
Answer:
BELOW
Step-by-step explanation:
DO I HEAR 100 POINTS? Yes.
For the first image, that answer is A.
For the second image, I'm a bit confused on which problems you want me to do, so I'll do number 10, 11, and 14.
10) Yeah, you're correct, it is J.
11) (1,-6), (-2,-5), (8,2) (4,0) and I can't see the last point so..
14) Can't see the question :(
#1
x-4y≤-12-4y≤-x-124y≥x+12y≥1/4x+3Put (0,0)
0≥0+3 is falseShading will be away from origin.
y inetercept
y=3(when x=0)Check the direction of line by taking 4 and -4
y=4/4+3=y=4y=-4/4+3=-1+3=2The graph should bend down on left side while rise up in right side
Option A
#2
5x-4y>4-4y>-5x+44y<5x-4y<5/4x-1Putting origin in it
0>-1Shading away from origin
And
x+y<2y<2-xPutting origin
0<2Shading towards origin
Option B as shading should be downwards hereA polar curve is represented by the equation r1 = 7 + 4cos θ.
Part A: What type of limaçon is this curve? Justify your answer using the constants in the equation.
Part B: Is the curve symmetrical to the polar axis or the line theta equals pi/2 Justify your answer algebraically.
Part C: What are the two main differences between the graphs of r1 = 7 + 4cos θ and r2 = 4 + 4cos θ?
Answer:
a. dimpled: 4 < 7 < 2·4
b. not symmetrical about θ = π/2
c. r2: smaller, cardioid
Step-by-step explanation:
The general form of the equation for a limaçon can be written ...
r = a·cos(θ) +b
This equation gives rise to 4 types of limaçon based on the relationship between a and b:
looped: b < acardioid: a = bdimpled: a < b < 2aconvex: 2a ≤ b__
A.We have a=4, b=7, so a < b < 2a. The limaçon is dimpled.
B.The equation is not the same if θ is replaced by π/2 -θ. The curve is not symmetrical about θ = π/2.
C.The equation for r2 ...
gives a cardioid limaçongives a limaçon with a smaller diameter (radial extent)How is the sample space related to a probability model?
Answer:
The sample space S for a probability model is the set of all possible outcomes.
a company is considering designing a new and better can opener. the company estimates the probability that the new can opener will be will be successful is 5/8. if it is successful, it would be able to make $200,000. of course, the company would make nothing if it were unsuccessful. the development costs for the can opener are $76,000 what is the expected value ?
a) $49,000
b)$75,000
c)-49,000
d)$125,000
Answer:
The answer is a.) $49,000
Step-by-step explanation:
i just took the test!!
Given that the company estimates the probability that the new can opener will be will be successful is 5/8. If it is successful, it would be able to make $200,000. The company would make nothing if it were unsuccessful. The development costs for the can opener are $76,000. The expected value is $49000.
What is expected value?Expected value is the return you can expect for some kind of action.
The formula for the Expected Value is: ΣX.P(X) .
The amount earned by the company if the new can opener is successful = Revenue of the company - amount invested = $200,000 - $76,000 = $124,000
Probability that the new can opener will be successful = 5/8
Amount earned/ lost if the new can opener is not successful = $0
Probability that the new can opener will not be successful = 1 – 5/8 = 3/8
Expected value = amount earned if the new can opener is successful * Probability that the new can opener will be successful + Amount earned/ lost if the new can opener is not successful * Probability that the new can opener will not be successful
= 124,000 * 5/8 + 0 * 3/8
= $49000
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How do I match these?
Step-by-step explanation:
fgx= x+6
g(f(x)=√x²+6
am not sure about the rest
Anybody want to help with math? :)
(x^5y^2-x^3y^2+xy-1)-(x^5y^2-x^4y^2-x^3y^2-x^2y+xy-1)
Ty :)
Attached images. :)
-
Comment if it's confusing, I would love to explain. <3
I don’t know what letters go in what order, an explanation would be appreciated
Answer:
Step-by-step explanation:
Congruent triangles:8) AC = DC Given
BC = EC Given
∠ACB ≅ ∠DCB Vertically opposite angles are congruent
ΔACB ≅ ΔDCB SAS congruent9) RS = TS Given
SU =SU Reflexive property
∠RSU = ∠TSU Given
ΔRSU ≅ ΔTSU SAS congruent
please #3 is wrong i need help i only need the answer to it
3x² + 4
3.-3.-3 + 4
27 + 4
31
hope it helps...!!!
Answer:
31
EXPLANATION
[tex] = 3 \times { - 3}^{2} + 4 \\ = 3 \times 9 + 4 \\ = 27 + 4 \\ = 31[/tex]
Geometry given right triangle ABC with altitude BD drawn to hvpotenuse AC. If AD = 8
and BD = 4, what is the length of DC?
Answer: 2
Step-by-step explanation:
how can i solve 8+3(2x-7)=11x
Answer:
x = -13/5
Step-by-step explanation:
8+3(2x-7) = 11x
8 + 6x - 21 = 11x
8 - 21 = 11x - 6x
-13 = 5x
-13/5 = x
A triangle has one angle that measures 50° and one angle that measures 40°.
What kind of triangle is it?
A.isosceles triangle
B.obtuse triangle
C.right triangle
D.equiangular triangle
Answer:
Right triangle
Step-by-step explanation:
If the triangle has one angle that measures 50 degrees and another angle that measures 40 degrees, then the last angle must measure 90 degrees because the 3 angles of any triangle add up to 180, so we can set up the following:
180 - (50 + 40) = 90 degrees.
Any triangle that has a 90 degree angle is automatically a right triangle.
Hope this helps!
________________________________________________________
Option AAs we know, a triangle has 180° in total and has three angles.
⇒ Angle 1 + Angle 2 + Angle 3 = 180
We are given the following:
1st angle = 50°2nd angle = 40°Let the 3rd angle be known as "x".
For the triangle to be classified as an isoceles triangle, two angles must be of same measure. Thus, there are two possibilities.
⇒ 50 + 40 + 40 = 180 [Angle 2 = Angle 3]
-------------- Or -------------
⇒ 50 + 40 + 50 = 180 [Angle 1 = Angle 3]
Possibility-1:
⇒ 50 + 40 + 40 = 180⇒ 50 + 80 = 180⇒ 130 = 180 (False)Possibility-2:
⇒ 50 + 40 + 50 = 180 ⇒ 100 + 40 = 180 ⇒ 140 = 180 (False)Therefore, the triangle cannot be an isoceles triangle.
________________________________________________________
Option BAs we know, a triangle has 180° in total and has three angles.
⇒ Angle 1 + Angle 2 + Angle 3 = 180
We are given the following:
1st angle = 50°2nd angle = 40°Let the 3rd angle be known as "x".
For the triangle to be classified as an obtuse triangle, the third angle must be a measure greater than 90°. Therefore,
⇒ 50 + 40 + (x > 90) = 180⇒ 90 + (x > 90) = 180⇒ (x > 90) = 180 - 90⇒ (x > 90) = 90 (False)This is false because 90 is not greater than 90. Therefore, the triangle is not an obtuse triangle.
________________________________________________________
Option CAs we know, a triangle has 180° in total and has three angles.
⇒ Angle 1 + Angle 2 + Angle 3 = 180
We are given the following:
1st angle = 50°2nd angle = 40°Let the 3rd angle be known as "x".
For the triangle to be classified as a right triangle, the third angle must be a measure equivalent to 90°. Therefore,
⇒ 50 + 40 + 90 = 180⇒ 90 + 90 = 180⇒ 180 = 180 (True)Therefore, this triangle is a right triangle.
________________________________________________________
Option DAs we know, a triangle has 180° in total and has three angles.
⇒ Angle 1 + Angle 2 + Angle 3 = 180
We are given the following:
1st angle = 50°2nd angle = 40°Let the 3rd angle be known as "x".
For the triangle to be classified as an equiangular triangle, all the angles must be equivalent (60°). Therefore,
⇒ 1st angle = 2nd angle = 3rd angle⇒ 50 = 40 = 3rd angle (False, because 50 is not equivalent to 40)Therefore, this triangle is not an equiangular triangle.
________________________________________________________
In conclusion, we can conclude that Option C (Right triangle) is correct.
The ratio of red sweets to sweets that are not red is 2:3
The ratio of green sweets to sweets that are not green is 6:19
Work out the ratio of red sweets to blue sweets to green sweets
I saw an answer but assuming that the total is 50 doesn't make any sense.
I also saw an answer that didn't put any method/calculations. I NEED to put the method there otherwise my teacher will think I cheated and I will not be able answer questions like this in the future.
Answer:
Extremely sorry if my answer is wrong or doesn't make sense! Also sorry that I couldn't solve it farther, I solved it using sense and haven't made it this far in math!
Step-by-step explanation:
If red is 2:3 then that means red to green is either 2:2 or 2:1. Same goes with blue.
If green is 6:19 then we can figure out the 2 possibilities for red to green.
First Possibility:
If the red to green ratio is 2:2, then the red to green to blue is 6:6:13 because 6 + 19 - 12 = 13.
Second Possibility:
If the red to green ratio is 2:3, then the red to green to blue ratio is 4:6:15 because 6 + 19 - 10 = 15.
Volume of a standard cereal box l=8in w=3in h=11in
It’s 4 this is so people can find it easier
A figure can be broken into a rectangle and triangle. The rectangle has a base of 10 inches and height of 7 inches. The triangle has a baes of 4 inches and height of 5 inches.
What is the measure of the base of the triangle?
The base of the triangle b has a measure of inches.
Answer:
4 inches
Step-by-step explanation:
finding base of rectangle
area- 10x7= 70
base- 70/10= 7
finding base of triangle:
area- 4x5= 25
base- 25/5= 4
Answer:
4 in
Step-by-step explanation:
4
Can anyone help please, Thanks.
Prove cos^2 t+4cos t+4/cos t+2=2sec t+1/sec t
[tex]\text{L.H.S}\\\\=\dfrac{\cos^2 t +4\cos t +4}{\cos t +2 }\\\\\\=\dfrac{(\cos t)^2 + 2\cdot 2\cos t+2^2}{\cos t +2}\\\\\\=\dfrac{(\cos t +2)^2 }{\cos t +2}\\\\\\=\cos t +2\\\\\\=\dfrac 1{\sec t} +2\\\\\\=\dfrac{2\sec t +1}{\sec t}\\\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]
how do you do this question
Step-by-step explanation:
Given,
[tex]x = {3}^{m} [/tex]
[tex]y = {3}^{n} [/tex]
Now
Consider
[tex] {3}^{4m - 1} [/tex]
We know that
[tex] \frac{ {a}^{p} }{ {a}^{q} } = {a}^{p- q} [/tex]
Using this we can write
[tex] {3}^{4m - 1} = \frac{ {3}^{4m} }{ {3}^{1} } [/tex]
[tex] = \frac{ {3}^{4m} }{3} [/tex]
We know that
[tex] ({a}^{p}) ^{q} = {a}^{pq} [/tex]
Using this we get
[tex] \frac{ {3}^{4m} }{3} = \frac{ ({3}^{m})^{4} }{3} [/tex]
Since we know that
[tex] {3}^{m} =x [/tex]
We get
[tex]= \frac{ {x}^{4} }{3} [/tex]
I need this solved please
Answer:
Below in bold.
Step-by-step explanation:
The 3 angles of a triangle sum to 180 degrees, so:
if one angle is x degrres the other id 2x, and:
x + 2x + 60 = 180
3x = 180 - 60 = 120
x = 120/3 = 40
So m<B = 40 and m < A = 80 degrees.
The four small circles are identical. The total area of the small circles is 64pi square inches. What is the area of the larger circle? Write your answer in terms of pi .
Answer:
64 in²
Step-by-step explanation:
I did not ever do a problem like this, however this is the beauty of math, you can easily reverse engineer it.
Remember,
A = [tex]\pi r^2[/tex]
And if we have 4 circles that means the area of one circle is 1/4th the total
So,
[tex]A=\frac{\pi r^2}{4}[/tex]
Assuming that 16 is the radius squared times 4 lets ignore that squared for now because when going backwards we would get rid of the squared last as that was the first step.
[tex]A=\frac{16\pi }{4}=\frac{4\pi }{1}=4\pi[/tex]
Now lets get it back to by square rooting the 4
[tex]A=\sqrt4\pi =2\pi[/tex]
The radius of one small circle is 2. Therefore; the diameter would be 4 for each. This in mind we know that two small circles diameters make up the radius of the larger circle we will multiply it by two again.
This gives us a final radius of the bigger circle of 8
Therefore, the area of the bigger circle is 8² which simplifies to 64
And a final answer of
64[tex]\pi[/tex] in²
Hope this helps :)
help pls, how do i answer this one
Answer:
h > 24
Step-by-step explanation:
h/3 > 8
so basially you move the number three from the left side to the right side
so from division to multiplication
h > 8 x 3
h > 24
Solved !
Hope it helped ! Have a nice day !
Part 1: What is the mean score, rounded to the nearest whole number?
Part 2: What is the median score?
Part 3: What is the mode score?
THIS IS NOT A QUIZ DONT REMOVE
3x^2 - x + 4 and 2x- 4x^2 - 7
Answer:
Step-by-step explanation:
3x^2 - x + 4 and 2x- 4x^2 - 7
3x^2 - x + 4 = no solution
2x- 4x^2 - 7 = no solution
In parallelogram M NOP, PK = 5x and K N = n2 – 14.
What is PN?
A. 7
B. 36
C. 70
D. 100
Answer:
C.) 70
Step-by-step explanation:
The line PN is made up of PK and KN (PN = PK + KN). We also know that PK must equal KN (definition of a parallelogram). Therefore, you can set the value of both lines equal to each other, solve for x, then add them together to find PN.
PN = ?
PK = 5x
KN = n² - 14
PK = KN <----- Both lines must equal one another
5x = n² - 14 <----- Substitute values in
0 = n² - 5x - 14 <----- Subtract 5x from both sides
0 = (x - 7)(x + 2) <----- Factor
x = 7 x = -2 <----- Set both parentheses equal to 0
The value for "x" can be 7 and -2. However, it does not make sense to use a negative value in this situation. If we were to plug -2 into the equations, it would result in lines with a negative value. Therefore, "x" must be 7. Next, plug this value in for "x" to find the numerical value of PK and KN.
PK = 5x -----> 5(7) = 35
KN = n² - 14 -----> (7)² - 14 = 35
The fact that these are equal makes sense. Now, add these two numbers to find the value of the overall line.
PK + KN = PN
35 + 35 = 70
Therefore, C.) 70 is the value of PN.
I need help to find the equation and measures pls help me.
Answer:
Equation: 2x + x = 180
x = 60
∠GFH = 120
∠CBD = 60
Step by step:
Use 2x + x = 180 because the angles are on a straight line meaning they have a sum of 180:
2x + x = 180
3x = 180
3x/3 = 180/3
x = 60
Now just substitute:
∠CBD = x = 60
∠GFH = 2x = 120
Step-by-step explanation:
u didn't showed me but I will help u
here is your answer
The diagram show a circle centre 0. write down the mathematical name of
Answer:
(a) sector
(b) chord
(c) tangent
Step-by-step explanation:
sector: a sector in a circle is enclosed by two radii and an arc.chord: this is a straight line that divides the circle into two unequal partstangent: a tangent touches a circle in only one point without entering inside the circle.Sam is using the expression M/8n in class. What is the value of this expression when m = 4 and n = 1/2
Answer:
1
Step-by-step explanation:
m/8n > 4/8(1/2) ( since its 1/2 all you need to do is change the fraction to whole number which is 1/2 = 0.5)
The given will become 4/4 then simplest form is 1
what is log_{6}6^{3} in an equivalent form
[tex]\log_6 6^3\\\\=3 \log_6 (6)~~~~~~~~~~~~~~~~;[\log_b m^n = n \log_b m]\\\\=3 \cdot 1~~~~~~~~~~~~~~~~~~~~~~;[\log_a a=1]\\\\=3[/tex]
What is the surface area of the cylinder with a raidus of 4 and a high of 10 square meters? Use 3.14 for pi.
Answer:
351.68 m²
Step-by-step explanation:
surface area of cylinder = 2πrh + 2πr²
r = 4m
h = 10m
2πrh + 2πr² = 2*π*4m*10m + 2*π*(4m)² = 2*3.14*4m*10m + 2*3.14*4m*4m = 351.68 m²
Please help me on this!
Answer:
A. The initial amount of medicine.
Step-by-step explanation:
Same explanation as the one I answered before. The 250 is the original value.