2, 2, 3 can be lengths of the sides of a triangle. true or false

Answers

Answer 1

Answer:

Yes

Step-by-step explanation:

The sum of any 2 sides of a triangle are greater than the 3rd side.

2,2,3 satisfies this condition.

Answer 2

Answer:

True

Step-by-step explanation:

The sides a=2, b=2, c=3 of a triangle must obey the conditions:

a>0  ok

b>0  ok

c>0  ok

a+b>c  (2+2 > 3)  ok

b+c >a  (2+3 > 2)  ok

c+a >b  (3+2 > 2)  ok

So  2,2,3 can be the sides of a triangle.


Related Questions

which of these figures does NOT have line symmetry​

Answers

Answer:

Figure D does not have line of symmetry

Answer:

You are correct, it is D

Step-by-step explanation:

Liam had $250. Then, he and his classmates bought a present for their teacher, evenly splitting the $p cost among the 24 of them.
How much money does Liam have left?
Write your answer as an expression.

Answers

Answer:

The answer is 600-p/24

Step-by-step explanation:

what is the slope of A line that passes through the points (−1, 2) and (3, 10)

Answers

Answer:

2

Step-by-step explanation:

(y2-y1) / (x2-x1)

(10-2) / (3-(-1))

8/(3+1)

8/4

2

Answer:

2

Step-by-step explanation:

(x¹, y¹) (x², y²) = (-1,2) (3,10)

Slope = (y²-y¹) ÷ (x²-x¹)

= (10 - 2) ÷ (3 -(-1))

= 8 ÷ 4

= 2

There are three cards. One is green on both sides, the second is red on both sides and the third is red on one side and green on the other. We choose a card at random and we see one side (also chosen at random). If the side we see is green, what is the probability that the other side is also green

Answers

Answer:

0.667

Step-by-step explanation:

According to Bayes theorem:

Since there are three cards, the probability that the side is green = 1/3

For the first card, if one side is green, the probability that the other side is also green = 1 (both sides are green)

For the second card, if one side is green, the probability that the other side is also green = 0 (both sides are red)

For the third card, if one side is green, the probability that the other side is also green = 1/2 (one side is green and the other side is red)

[tex]P(G_k/A)=\frac{P(G_k)P(A/G_k)}{\Sigma_{i=1\ to\ m} P(G_i)P(A/G_i)} \\P(B_1/A)=\frac{P(G_1)P(A/G_1)}{P(G_1)P(A/G_1)+P(G_2)P(A/B_2)+P(G_3)P(A/G_3)}\\ P(B_1/A)=\frac{1/3*1}{(1/3*1)+(1/3*0)+(1/3*1/2)=\frac{1/3}{1/2} }=0.667[/tex]

Please help i will give out brainliest

Answers

Answer:

A

Step-by-step explanation:

To determine if a point lies on the curve, substitute the x- coordinate into the equation. If the value obtained is equal to the y- coordinate then the point lies on the curve, that is

A

y = ([tex]\frac{3}{2}[/tex] )² = [tex]\frac{9}{4}[/tex] ≠ [tex]\frac{9}{2}[/tex] ← not on line

B

y = (- 1)² = 1 ← lies on line

C

y = 4² = 16 ← lies on line

D

y = ([tex]\frac{1}{2}[/tex] )² = [tex]\frac{1}{4}[/tex] ← lies on line

The perimeter of a triangular field is 84 m, if the ratio of its sides are 13: 14:15, Find the area of the field. *

Answers

Answer:

[tex]Area = 336\ m^2[/tex]

Step-by-step explanation:

If the ratio of the sides is 13:14:15, we can say that the length of each side is 13x, 14x and 15x.

Then, if the perimeter is 84 m, we have:

[tex]P = 13x + 14x + 15x = 84[/tex]

[tex]42x = 84[/tex]

[tex]x = 2[/tex]

The length of each side is:

[tex]13x = 26\ m[/tex]

[tex]14x = 28\ m[/tex]

[tex]15x = 30\ m[/tex]

Now, to find the area of the field, we can use the following formula:

[tex]Area = \sqrt{p(p-a)(p-b)(p-c)}[/tex]

Where a, b and c are the sides and p is the semi perimeter:

[tex]p = P/2 = 42\ m[/tex]

So we have that:

[tex]Area = \sqrt{42(42-26)(42-28)(42-30)}[/tex]

[tex]Area = 336\ m^2[/tex]

The angle measurements in the diagram are represented by the following expressions.
MY
ZA = 5.7 - 15
ZB = 2x + 21
Pro
Pro
Tea
Solve for x and then find the measure of B:

Answers

Answer:

x = 12

m(∠B) = 45°

Step-by-step explanation:

Given question is incomplete; find the complete question in the attachment.

In the figure attached two lines 'l' and 'm' are the parallel lines and line 'n' is a transverse.

Angles A and B are the "Alternate exterior angles" which will equal in measure.

m(∠A) = m(∠B)

(5x - 15) = (2x + 21)

5x - 2x = 15 + 21

3x = 36

x = 12

Since, m(∠B) = (2x + 21)

                     = (2×12) + 21

                     = 24 + 21

                     = 45°

Therefore, x = 12 and measure of angle B will be 45°.

Evan, Claire, Jaya and Tim are running a 3km relay race.
Evan ran 9/10 of a km
Claire ran 7/9 of a km
Jaya ran 2/3 of a km

What fraction of a km does Tim need to run to finish the race?

Try to answer ASAP please, thank you.

Answers

Answer:

Tim needs to finish 59/90

Step-by-step explanation:

Add together what Evan Claire and Jaya ran  

9/10 + 7/9+ 2/3

The common denominator is 90

9/10 (9/9) +7/9 *10/10  + 2/3 *30/30

81/90 + 70/90 + 60/90

211/90

We need 3 km = 3 *90/90 = 270 /90

270/90 - 211/90 = 59/90

A central angle of a circle intercepts an arc of length 18 centimeters. The radius of the circle is 9 centimeters. What is the measure of the central angle in radians?

Answers

Answer:

.44444444

Step-by-step explanation:

πr²=full circumference

18/π(9)²=x/2π

(ANSWER ASAP) Which table represents a linear function? graph 1 graph 2 graph 3 graph 4

Answers

Answer:

D)

Step-by-step explanation:

Use desmos in the future to help you determine if all of those coordinate make a straight line.

What is the x-value in the solution to this system of linear equations?
2x - y = 11
x + 3y = -5
-3
-1
2
4

Answers

Step-by-step explanation:

2x - y = 11 -----(1)

x + 3y = -5 ------(2)

By

eliminating "y"

multiple equation 1 by 3 and equation 2 by 1

3×2x - 3y = 3×11

6x - 3y = 33 -----(3)

x + 3y = -5 ------(2)

add eqn (3) and eqn(2)

7x + 0 = 28

7x/7 = 28/7

x = 4

I hope this will help you, good luck!!!

Answer:

D) 4

Hope This Helps!

What is the area of the triangle in the diagram?

Answers

Answer:

[tex]\frac{(a-b)^2+b^2}{a^2}[/tex]

which agrees with the first choice (A) in your list of possible answers

Step-by-step explanation:

Notice that the area of the outer square is given by the square of it side [tex](a)[/tex].Then the outer area is given by: [tex]a^2[/tex]

Now, the inner square's area we calculate by subtracting from the outer area four equal right angle triangles (those shaded in grey in the figure provided). Each of such right angle triangles have an area given by the general formula of a triangle's area:

[tex]Area_{triangle}= \frac{base\,*\,height}{2} =\frac{(a-b)\,b}{2} =\frac{ab-b^2}{2}[/tex]

Therefore the internal square's area is:

[tex]a^2-4\frac{ab-b^2}{2} =a^2-2ab+2b^2[/tex]

And then the quotient of this are over the larger square area becomes:

[tex]\frac{a^2-2ab+2b^2}{a^2} =\frac{a^2-2ab+b^2+b^2}{a^2}=\frac{(a-b)^2+b^2}{a^2}[/tex]

work out the values of a to e please

Answers

Answer:

Step-by-step explanation:

a=10   (4,0,2,4,3,1,2,3,1,4)

b=4    (7,5,6,9)

c=6    (13,13,13,10,13,12)

d= 5   (17,16,17,17,16)

e=6    (21,23,20,20,21,23)

I need help please! The sequence 6,18,54,162, ... shows the number of pushups Kendall did each week, starting with her first week of exercising (a) What is the recursive rule for the sequence (b) What is the iterative rule for the sequence

Answers

Answer:

a: 3

b. 6973568802

Step-by-step explanation:

a₁ = 6 , r = 3 , a₂₀ =?

Result:

a₂₀ = 6973568802

Explanation:

To find a₂₀ we use the formula

aₙ = a₁ · r ^ⁿ⁻¹

In this example we have a₁ = 6 , r = 3 , n = 20. After substituting these values to above

formula, we obtain:

aₙ = a₁ · r ^ⁿ⁻¹

a₂₀ = 6 · 3 ^²⁰⁻¹

a₂₀ = 6 · 1162261467

a₂₀ = 6973568802

Find the value of y.
168
X
y = [? ]°

Answers

Answer:

Y=96

Step-by-step explanation:

The required value of y = 192°.

In a circle angle angle of arc x =168°. Angle of arc y is to be determine.

What is angle?

The angle can be defined as line inclined over other line by certain measure called angle.

Here, a circle has angle= 360°
x +y =360°
y = 360°-x
y = 360°-168°
y = 192°

Thus, the required value of y = 192°.

Learn more about Angles here:
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Which best describes how the graph of g(x) =1/9sqrt(x) relates to the graph of the parent function, f(x) =sqrt(x) ? The graph of g(x) is shrunk vertically by a factor of 1/9. The graph of g(x) is stretched vertically by a factor of 1/9. The graph of g(x) is shrunk vertically by a factor of 1/3. The graph of g(x) is stretched vertically by a factor of 1/3.

Answers

Answer:

The graph g(x) is vertically shrunk by a factor of 1/9.

Step-by-step explanation:

Parent Graph: f(x) = a√(bx - c) + d

Since we are only modifying a, we are dealing with vertical shrink (a < 1) and stretch (a > 1). Since 1/9 < 1, we have a vertical shrink by a factor of 1/9.

The correct description is:

"The graph of g(x) is shrunk vertically by a factor of 1/9"

How do dilations work?

There are two types of dilations.

Vertical dilation:

For a function f(x), a vertical dilation of scale factor k is written as:

g(x) = k*f(x).

Where if k > 1, we have a dilation, if 0 < k < 1, we have a contraction.

Horizontal dilation:

For a function f(x), a horizontal dilation of scale factor k is wrtten as:

g(x) = f(x/k).

Where if k > 1, we have a dilation, if 0 < k < 1, we have a contraction.

Here we have:

f(x) = √xg(x) = (1/9)*√x

So we can see that g(x) is a vertical contraction of scale factor 1/9.

Then the correct option is:

"The graph of g(x) is shrunk vertically by a factor of 1/9"

If you want to learn more about dilations, you can read:

https://brainly.com/question/3457976

It costs $1.58 to buy a bag of popcorn. Which of the following equations shows the amount of money needed, z, to buy n bags of popcorn? z = 1.58 + n n = 1.58 + z z = 1.58n n = 1.58z

Answers

Answer:

  z = 1.58n

Step-by-step explanation:

To find the total amount (z), the cost of a bag (1.58) must be multiplied by the number of bags (n).

  z = 1.58n

Answer:

1.58 times the number of bags you're buying will give you how much money it all is: z=1.58n

Nine less than the quotient of two and a number x.

Answers

Answer:

Hey there!

Your answer would be x/2 - 9

Answer:

2 ÷ x - 9

Step-by-step explanation:

Quotient of two is written as = 2 ÷ x

Nine less is written as = -9

Final answer = 2 ÷ x - 9

Hope this helped! :)

What ate the domain and range of f(x)(1/6)x+2?

Answers

Answer:

Domain : all real numbers

Range: All numbers greater than 2

Step-by-step explanation:

The shark. (Haha, I'm sorry.)

There are no restrictions on the x. X can be any real number.

The range, however, does have restrictions. The range has to be a number greater than 0.

Why?

Because any number that you put in for x won't make the range less than 2. If you put in zero for x, the range is 2.

What is the original price of a packet of biscuits bought for Rs230 including 6% tax

Answers

Answer:

Rs216.98

Step-by-step explanation:

If Rs230 is including the 6% tax then 230 = 106%

230 / 106 = 1% = 2.1698

2.1698 X 100 = 100% = 216.98

The original price of a packet of biscuits will be Rs216.98.

What is the percentage?

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that the original price of a packet of biscuits bought for Rs230 including 6% tax.

The original price will be calculated as below:-

If Rs230 is including the 6% tax then 230 will be equal to 106 percent as below:-

230 = 106%

Then 1 percent will be equal to the ratio of 230 and 106 as below,

1% = 230 / 106= 2.1698

Divide 230 by 106 and to calculate the original price multiply by 100.

2.1698 X 100 = 100% = Rs216.98

Therefore, the original price of a packet of biscuits will be Rs216.98.

To know more about percentages follow

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What is the surface area of a sphere with a radius of 13 units?
A. 6767 units2
B. 10147 units
C. 8451 units2
D. 5077 units2

Answers

I hope this helps you

Sphere Surface Area Formula is

4.pi.r^2

4.pi.13^2

4.pi.169

676.pi

The surface area of the sphere with radius 13 units is S = 676π units²

What do you mean by a Sphere?

A sphere is a three-dimensional geometrical object that is perfectly round in shape. A sphere is a fully spherical, three-dimensional geometrical object. Every point on its closed surface is equally spaced from the centre, which is the only point on the surface.The distance from the center to any point on the surface of the sphere is known as the radius of the sphere..

Surface Area of a Sphere = 4πr²

Volume of a Sphere = ( 4/3 ) πr³

where r is the radius of the sphere

They are used to represent many natural and man-made objects such as planets, basketballs, and molecules.

Let the data be ,

Let r = 13 units be the sphere's radius.

Let S be the sphere's surface area.

And , Surface Area of a Sphere = 4πr²

On simplifying , we get

S = 4π ( 13 )²

S = 4π ( 169 )

S = 676π units²

Thus, the sphere's surface area is S = 676 units2.

Click here to discover more about spherical.

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Please can you help me, it would be greatly appreciated.

Answers

Answer:

20 cm^2.

Step-by-step explanation:

If the scale factor is 2 each of the sides of the figure will be increased by a factor 2.

So each side will have a length of 2 * 1 = 2 centimeters.

It will consist of 5 squares of dimension 2*2 =  an area of 4 cm^2

So the area of the new cross  is 5*4 = 20 cm^2.

We can also calculate the area directly by multiplying  by 2^2 ( the scale factor)squared.)

The original area = 5 so the area of the enlarged figure = 5 * 2^2 = 20 cm^2.

add ( 7x^2-5x+3)+(2x^2+7x-8)

Answers

Answer:

A.9[tex]x^{2}[/tex]+2x-5

Answer:

[tex] 9{x}^{2} + 2x - 5[/tex]

Option A is the correct option.

Solution,

[tex]7 {x}^{2} - 5x + 3 + 2 {x}^{2} + 7x - 8 \\ [/tex]

Combine like terms:

[tex]7 {x}^{2} + 2 {x}^{2} - 5x + 7x + 3 - 8[/tex]

Simplify:

[tex]9 {x}^{2} + 2x - 5[/tex]

Hope this helps..

Good luck on your assignment..

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.

Answers

Answer:

the function has two real roots and crosses the x axis in two places.

Step-by-step explanation:

Using the general quadratic formula;

[tex]x = \frac{-b\pm \sqrt{b^2 -4ac}}{2a}[/tex]

for a quadratic equation

[tex]ax^2 +bx+c=0[/tex]

given the quadratic function below;

[tex]G(x) = -x^2 +4x+2[/tex]

the roots of the equation can be calculated by applying the quadratic formula.

[tex]x = \frac{-4\pm \sqrt{4^2 -(4*-1*2)}}{2*-1}\\x = \frac{-4\pm \sqrt{16 -(-16)}}{-2}\\x = \frac{-4\pm \sqrt{32}}{-2}\\x = 4.449 \\or\\x = -0.449\\[/tex]

Therefore, the function has two real roots and crosses the x axis in two places.

Attached is the graph of G(x) for more understanding.

Please help!!!! For each set of given points A, B, C, and D on a number line, find the distances AB, BC, AC, and BD: A(–3); B(5); C(–12); D(–13)

Answers

Answer:

AB=8 BC=17 AC=9 BD=18

Step-by-step explanation:

Okay, so A is -3 and B is 5, so the distance would be 8, because the difference between -3 and 5 is 8. The same goes for all the rest. The distance on the number line is the difference between the two numbers they represent.

help plz quick i will mark u brainllest

Answers

Answer:

1st one

Step-by-step explanation:

I don't do explanations just answer it mate.

Answer:

hi! your answer should be C. CA EC

Step-by-step explanation:

"C." just makes the most sense. CA and EC are equal lengths. A, B, and D are not equal. So it has to be C. Hope this helps :)

Polygon ABCD is dilated by a scale factor of 2 with the center of dilation at the origin to create polygon A′B′C′D′. If the endpoints of line segment AB are located at (0, -7) and (8, 8), what is the length of line segment A'B' ? Use the distance formula to help you decide: PLEASE HELP!!!

Answers

Answer:

34

Step-by-step explanation:

A = (0, -7)

A' = (0, -14)

B = (8, 8)

B' = (16, 16)

Distance formula = [tex]\sqrt{({x_{2}- x_{1}})^{2} + ({y_{2}- y_{1}})^{2}}[/tex]

= [tex]\sqrt{16^{2} + 30^2}[/tex]

= [tex]\sqrt{1156}[/tex]

= 34

What is the equation of a line with slope = 10 and contains the point (4,3)? This should be done in slope-intercept form.

Answers

Answer:

y = 10x-37

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 10x+b

Substitute the point into the equation

3 = 10*4+b

3 = 40+b

Subtract 40

3-40 = 40+b-40

-37 = b

y = 10x-37

Answer: y = 10x - 37

Step-by-step explanation:

Hope it helps <3

Which point of intersection is the solution to the system that of equations y= 2/5x-1/2 and y=-1/3x+2/3

Answers

Answer:

x = 35/22

y = 3/22

Step-by-step explanation:

y= 2/5x-1/2 ................(1)

y=-1/3x+2/3 ...............(2)

10*(1)

10y = 4x -5 ...................(1A)

3*(2)

3y = -x +2  ....................(2A)

To find intersection, solve for y & x

4(2A) + (1A)

12y+10y = -4x+4x +8-5

22y = 3

y = 3/22

Substitute in (1)

3/22 = 2/5x -1/2

multiply by 110

15 = 44x - 55

70 = 44x

x = 70/44 = 35/22

Latoya, Brian, and Charlie sent a total of 124 text messages over their cell phones during the weekend. Charlie sent 4 times as many messages as Brian. Brian sent 8 more messages than Latoya. How many messages did they each send?

Answers

Answer:

Brian: 22

Charlie: 88

Latoya: 14

Step-by-step explanation:

Set up an equation where b represents the number of messages Brian sent:

4b will represent Charlie because he sent 4 times more texts than Brian did

(b - 8) represents Latoya because they sent 8 less texts than Brian:

b + 4b + (b - 8) = 124

Add like terms:

6b - 8 = 124

6b = 132

b = 22

Now, we can plug in 22 as b to find Charlie and Latoya's number of texts:

4b = 4(22) = 88

b - 8 = 22 - 8 = 14

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