can a triangle have sides with lengths 2cm, 5cm and 3cm?​

[tex]\bold{\huge{\green{\underline{Solution}}}}[/tex]

[tex]\bold{\underline{ To\: Find }}[/tex]

[tex]\bold{\underline{ Let's \: Begin }}[/tex]

Here,

Therefore,

According to parallelogram law of resultant vector

If two vectors are represented by two adjacent sides of a parallelogram drawn from a point , the their resultant is equal to the diagonal of the parallelogram.

That is,

[tex]\sf{ R = AC^{2}= A^{2}+ B^{2}}[/tex]

But, we have to calculate the magnitude of the resultant vector

[tex]\sf{ | R |= √A^{2}+ B^{2}+ 2ABCos{\theta} }[/tex]

Subsitute the required values,

[tex]\sf{ | R |=\sqrt{ (10)^{2} + (15)^{2} + 2× 10 × 15 × cos 60{\degree}}}[/tex]

[tex]\sf{ | R | =\sqrt{ 100 + 225 + 20 × 15 × 1/2}}[/tex]

[tex]\sf{ | R | = \sqrt{100 + 225 + 10 × 15 }}[/tex]

[tex]\sf{ | R | = \sqrt{335 + 150 }}[/tex]

[tex]\sf{ | R | = \sqrt{485 }}[/tex]

[tex]\sf{\red{ | R | = 22.02 \: km}}[/tex]

Hence, The magnitude of the car resultant vector is 22.02 km.

Answer: H<14

Expelnation:2

h

+

8

>

3

h

−

6

8

>

h

−

6

(subtract

2

h

from both sides)

14

>

h

(add

6

to both sides)

or

h

<

14

Answer:

20

Step-by-step explanation:

This equation is in slope-intercept form which is y=mx+b where m is the slope and b is the y-intercept. Therefore, the slope is 20

Answer:

$ 11699.69

Step-by-step explanation:

Answer:

less

greater

less

greater

Answer:

Company A makes more for one purchase, and Company B makes more for ten purchases. Company C makes less for one purchase and Company A makes less for ten purchases.

Step-by-step explanation:

Company A: y = -3/5x + 65

Company B: y=1/2x + 62

Company C: 11/25x + 57

Make sure x is 1 then do all the equations, then x is 10 and do all the equations to see which has more amount of money and which has less.

Company A: 64.4 (if x = 1)

Company B: 62.5 (if x = 1)

Company C: 57.44 (if x = 1)

if x = 10

Company A: 59

Company B: 67

Company C: 61.4

(I might be wrong since I'm 14)

Company A makes more for one purchase, and Company B makes more for ten purchases. Company C makes less for one purchase and Company A makes less for ten purchases.

Answer:

(3x+2) + (2x-2) = 2*15

....

Answer:

PC = 8

Step-by-step explanation:

BF and CE are medians of the triangle.

On each median the distance from the vertex to the centroid P is twice as long as the distance from the centroid to the midpoint, then

PC = 2 × EP = 2 × 4 = 8

Answer:

Radius=10cm

Diameter=20cm

Hope this helps :))))

Answer:

75°

Step-by-step explanation:

1:2:3

so there are a total of 6 parts. Then, each part would be:

=) 150÷6= 25

The largest angle is 3 parts. so, if 1 part is 25, 3 parts is 25×3= 75

The largest angle is is 75°

Hope this helps!

Answer:

7 units

Step-by-step explanation:

the distance between -2 and 4 on the x axis is 7

and then i found the middle point and tried to find the length of it on the y axis

Answer:

4cm

Step-by-step explanation:

:)

Answer:

322 ft²

Step-by-step explanation:

Trapezoid area formula:

[tex]A=\frac{a+b}{2} *h[/tex]

Given:

a = 11

b = 35

h = 14

Work:

[tex]A=\frac{a+b}{2} *h\\\\A=\frac{11+35}{2} *14\\\\A=\frac{46}{2} *14\\\\A=23*14\\A=322[/tex]

Answer:

322 ft^2

Step-by-step explanation:

for a trapezoid A= base 1+ base 2 divided by 2, multiplied by the height

(35+11/2)*14= 322

Answer:

c. having two solutions

Answer:

C because for there to be two solutions, one or more of the lines graphed would have to be curved, meaning having two solutions is not possible for two linear equations

[tex] \tt \to \dfrac{96}{8} [/tex]

[tex] \\ \\ [/tex]

[tex] \tt \to \: 12 \: stickers[/tex]

Verify:-

12 × 8 = 96

hope it helped u!

Answer:

96/8

I promise you that it os

Answer:

x^2 - 1 = 0

3x^2 - 15x = 0

x^2 - 3x = 0

Step-by-step explanation:

Sorry if I am wrong.

Answer:16470

Step-by-step explanation: I don’t know if there all adding together cause there’s not much information

Answer:

54,691,002

Step-by-step explanation:

Answer:

Choose any number to be the variable x, then multiply it by 13.2 for your answer.

Step-by-step explanation:

Choose a number for the variable x, and put it in the box with parentheses.

Then, multiply it by 13.2 for your final answer, and put it in the open box.

Hope this helps. Btw, can I have Brainliest? PLEASE PLEASE PLEASE?!

12. Arithmetic

xn = a + (n-1) d

n = 5 (three aritmetic, 4 and 12)

Input the value:

12 = 4 + 4d

8 = 4d

d = 2

the value: 4, 6 , 8 , 10 , 12

13. Arithmetic

xn = a + (n-1) d

n = 4 (two aritmetic, 4 and 19)

Input the value:

19 = 4 + 3d

15 = 3d

d = 5

the value: 4, 9 , 14 , 19

14. geometric

[tex]\tt a_n=ar^{n-1}[/tex]

n = 4 (two geometric, 2 and 54)

input the value:

52 = 2r³

r = 3

the value: 2, 6, 18, 54

15. geometric

[tex]\tt a_n=ar^{n-1}[/tex]

n = 4 (two geometric, 5 and 40)

input the value:

40 = 5r³

r = 2

the value: 5, 10, 20, 40

Answer:

B) (20,8) , (30,13) , (40,18)

Step-by-step explanation:

To check: (20,8)

y = 1/2x - 2

8 = 1/2(20) - 2

8 = 10 - 2

8 = 8

This is true, which makes our point true.

To check: (30,13)

y = 1/2x - 2

13 = 1/2(30) - 2

13 = 15 - 2

13 = 13

This is true, which makes our point true.

To check: (40,18)

y = 1/2x - 2

18 = 1/2(40) - 2

18 = 20 - 2

18 = 18

This is true, which makes our point true.

Hope that helps!

Answer:

They have already traveled 20.25 miles.

Step-by-step explanation:

To find out how far they've already traveled, we need to subtract the length of the road trip and the distance until their final destination.

32.75-12.5=20.25

Answer:20.25

Step-by-step explanation:

just subtract the length of the road trip and the distance to their final destination.

Answer:

c letter is correct I think....

Approximate difference between √12 and √15 on plotted number line is 0.4. Option B is the correct option.

The number line is the way of representation of number and digits in an arranged form to understand the data batter.

The number line going from 0 to 4. √12 is to the right of 3, and √15 is to the right of √12. Therefore, the arranged value on the number line appears as,

3,   √12,   √15

In the number line given, the value of √12 is near 3.4 and the value of √15 is near 3.8. The difference between both the values is,

[tex]d=3.8-3.4\\d=0.4[/tex]

The approximate difference in tenths between √12 and √15 on the plotted number line is 0.4. Option B is the correct option.

Learn more about the number line here;

https://brainly.com/question/24644930

Answer:

its c 28

Step-by-step explanation:

Answer:

x= -10

Step-by-step explanation:

[tex]x - ( - 4) = - 6 \\ x = - 6 - 4 \\ x = - 10[/tex]

Answer:

[tex]=> \: x = - 10[/tex]

Step-by-step explanation:

=> x - -4 = -6

=> x -( -4 )= -6

=> Collect like terms

=> x = -6 -4

[tex]=> \: x = - 10[/tex]

Answer:

In year 6 monthly rent would cost you $1650 and it would cost $19,800 for the whole year of year 6

Step-by-step explanation:

1200x12=14,400 = year 1

1290x12=15,480=year 2

1380x12=16,560=year 3

1470x12=17,640=year 4

1560x12=18,720=year 5

1650x12=19,800=year 6

The monthly rent during the 6th year of apartment is A = $ 1,650

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

After each year, the rent goes up by $90, so in the second year the rent would be $1200 + $90 = $1290 per month, in the third year it would be $1290 + $90 = $1380 per month, and so on

On simplifying the equation , we get

Therefore, during the 6th year of living in the apartment, the monthly rent would be:

A = $1200 + ($90 x 5)

A = $1200 + $450

A = $ 1,650

Hence , the monthly rent is A = $ 1,650

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer:  5 & 7/10 hours

Work Shown:

4 & 3/4 = 4 + 3/4 = 4 + 0.75 = 4.75

total gas used = (gas used per hour)*(number of hours)

4.75 = (5/6)x

(5/6)*x = 4.75

x = (6/5)*4.75

x = 5.7

x = 57/10

x = (50+7)/10

x = 50/10 + 7/10

x = 5 + 7/10

x = 5 & 7/10

Answer:

true? i think

First

angle in front of c is 30°, so hypotenuse is equal to 2c

it's right triangle, so let's use Pythagorean theorem\

[tex](2c)^2=c^2+4^2\\4c^2=c^2+16\\3c^2=16\\\\c^2=\dfrac{16}{3} \\\\c=\dfrac{4}{\sqrt{3} } =\dfrac{4\sqrt{3} }{3 }[/tex]

Second

b - the base of the triangle, angles at the base are equal ⇒ cathets are equal

it's right triangle, so let's use Pythagorean theorem

[tex]b^2=7^2+7^2\\b^2=49+49\\b=\sqrt{2\times49} =7\sqrt{2}[/tex]

Answer:

we can write [tex]x^{\frac{1}{2} }[/tex] as [tex]\sqrt{x}[/tex] in radical form.   { fact }