The first side of a triangle is 4m shorter than the second side. The third side 3 times as long as the first side. The perimeter is 24m. Find the length of each side

Answers

Answer 1

Answer:

1st side= 4m

2nd side= 8m

3rd side= 12m

Step-by-step explanation:

Let the first, second and third side of the triangle be a, b and c meters respectively.

a= b -4 -----(1)

c= 3a -----(2)

Perimeter of triangle

= a +b +c

= 24

a +b +c= 24 -----(3)

From (1): b= a +4 -----(4)

Subst. (2) and (4) into (3):

a +(a +4) +3a= 24

3a +a +a +4= 24

5a +4= 24

5a= 24 -4

5a= 20

Divide both sides by 5:

a= 20 ÷5

a= 4

Substitute a= 4 into (4):

b= 4 +4

b= 8

Substitute a= 4 into (2):

c= 3(4)

c= 12

Thus, the lengths of the first, second, and third side of the triangle are 4m, 8m and 12m respectively.


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it was viewed as the perfecto spot for trade

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a

Step-by-step explanation:

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Answer: it is going to be answer a

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Answer:

S^2 = ((9 - (-3))^2 + ((3 - (-2))^2 = 12^2 + 5^2 = 169

S = (169)^1/2 = 13

Can someone please help me?

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Answer:=Sin=6.1/9.9

sin^-1(6.1/9.9)=38.03637396

Step-by-step explanation:

a. If the average ticket price is $15
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He had been in a hospital with friends since his birth

PLEASE HELP WILL GIVE POINTS write an expression for the sum of the angles in angle ABC given that:

angle a= (7x+3y-25) degrees
angle b= (6y+17) degrees
angle c= (12x) degrees

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's find the required expression :

Angle a + Angle b + Angle c = 180°

7x + 3y - 25 + 6y + 17 + 12 x = 180°

combine the like terms :

19x + 9y - 8 = 180°

you can also drive -8 to right side to add with 180° if needed !

19x + 9y = 188°

Ayuda con esto vale 7.5% de la nota doy 15 puntos

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Answer:

dagdagan mo hoy daya

Step-by-step explanation:

1733

London $42 for working 2.5 hours at this rate how much does she earn for working six hours

Answers

100.8

6/2.5=2.4

2.4×42=100.8

9. The figure shows a rectangle with its length and
breadth as indicated. Given that the perimeter of
the rectangle is 120 cm, find the area of the rectangle.
(3x - y) cm
(2x – 3) cm
(2x + y) cm

Answers

Answer:

875cm^2

Step-by-step explanation:

since opposite sides are equal

3x-y=2x+y

x=2y                                                      

y=x/2                                                                      ....(i)

thus new length=2x+y

=2x+(x/2)                                                              [using (i)]

=(4x+x)/2

l=5x/2                                                                   .....(ii)

now,

perimeter=2(l+b)=120cm

l+b=60cm            

from figure and using (ii)

[5x/2]+2x-3=60

[5x+4x-6]/2=60

9x-6=120

9x=126

x=126/9

x=14                                                                 ..........(iii)

substitute (iii) in (i)

y=14/2

y=7                                                                  ...........(iv)

From figure,

length=2x+y                                                   [using (iii) and (iv)]

=2x14+7

length=35cm

breadth=2x-3

=2x14-3                                                          ....[using(iii)]

=28-3

breadth=25cm

now,

Area=lxb

=35x25

=875cm^2

A company's stock was selling at $28 a share. A month later, it was selling at $21 a share. What is the percent loss?

Answers

Answer:  25% loss

Explanation:

It lost 28-21 = 7 dollars. Divide this loss over the original price

7/28 = 0.25 = 25%

This shows that we have a 25% decrease

Tavia earns $10.04 per hour. If Tavia works for 30 hours, how much does she earn?

Answers

Answer:

$301.20

Step-by-step explanation:

Note: 10.04 per hour

Multiplication:

30 x 10.04 = $301.20

Answer: 301.2

Step-by-step explanation: if she earns 10.04$ per hour then you just have to multiply 10.04 and however many hours she has worked for. Like this - 10.04 X 30.

If AABC = APQR, then
AC = [?]
Enter

Answers

AC will be equal to PR
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———
AB
In other words APQR over AB (divided)
Bc you need to get the a and b to the other side so it leaves a and c so you must divide by a and b from both sides

-10x + 35 + 5x=-5x + 20 (I need a step by step solving/ Show your work)

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Answer: Answer in Photo

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Answer:

a = 58

Step-by-step explanation:

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HOPE THIS HELPS :)

I need help fast please ​

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Answer:

i think 2nd one is true....f(-2)=g(-2)

Answer:

A is correct: [tex]f(0)=g(0)[/tex]

Step-by-step explanation:

To find this answer, we first must identify what [tex]f(x)[/tex] and [tex]g(x)[/tex] means.

[tex]f(x)[/tex] shows the y value of the line at the specified x value.

[tex]g(x)[/tex] shows the y value of the line at the specified x value.

So in order to solve this problem, we must look at each of the options and see which one is true.

If we take a look at the first option...

[tex]f(0)=-2[/tex] in this example and [tex]g(0)=-2[/tex] as well.

[tex]-2=-2[/tex] and therefore, option A is correct.

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Answer:

wouldnt it be y=4?

Step-by-step explanation:

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Amir is starting a stamp collection. After 3 weeks he has collected 35 different stamps, and after 9 weeks he has collected 105 different stamps. Which equation represents this direct variation?

Answers

Answer: y=35/3x

Step-by-step explanation:

got right on test

Consider the line - 5x+2y=8.
Find the equation of the line that is parallel to this line and passes through the point (-5, -3).
Find the equation of the line that is perpendicular to this line and passes through the point (-5, -3).

Answers

Answer:

The parallel equation is y=[tex]\frac{5}{2}[/tex]x-5.

The perpendicular equation is y=[tex]\frac{-2}{5}[/tex]x-5.

Step-by-step explanation:

First solve for y.

-5x+2y=8

2y=5x+8

y=[tex]\frac{5}{2}[/tex]x+4

A line is parallel if it has the same slope, but different y-intercepts.

The y-intercept of the given point is -5, so the new slope will be y=[tex]\frac{5}{2}[/tex]x-5

To find a perpendicular line, you find the negative reciprocal of the given slope.

So you find [tex]\frac{-1}{\frac{5}{2} }[/tex], which is equal to [tex]\frac{-2}{5}[/tex].

The perpendicular equation is y=[tex]\frac{-2}{5}[/tex]x-5.

Answer:

Step-by-step explanation:

A straight line will be parallel to another straight line only if their slopes are equal .A straight line will be perpendicular to another straight line only when the product of their slopes is -1 Part ALet 's bring the function  -5x+2y=8 to the standard form 2y=8+5x y=2,5x+4 A parallel line passes through a point  (-5; -3); and this meansy=2,5x+b 2,5*(-5)+b=-3 b=9,5 y=2,5x+9,5  -straight parelenai straight y=2.5x+4 Part B Let 's bring the function  -5x+2y=8 to the standard form y=2,5x+4 y=kx+b  And we know k*2,5=-1=> k=-0,4 y=-0,4x+b -0,4*(-5)+b=-3b=-1y=-0,4x-1 - Straight perpendicular to the straight line y=2.5x+4

Please show work, its needed in my assignment

A running tap dispenses 0.14 gallons of water every second. How many pints of water is dispensed after 50 seconds? Show your work.

Answers

Answer:

56

Step-by-step explanation:

0.14 gallons/sec * 50 sec = 7 gallons

There are 8 pints per gallon.

7 gallons * 8 pints/gallon = 56 pints

Given that a running tap dispenses 0.14 gallons of water every second. Using unitary method, 56 pints of water is dispensed after 50 seconds.

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Water dispensed every second =  0.14 gallons

Water dispensed after 50 seconds = 0.14 * 50 = 7 gallons = 7 * 8 = 56 pints (1 gallon = 8 pints)

Learn more about unitary method here

https://brainly.com/question/22056199

#SPJ2

What system of linear inequalities is shown in the graph
Enter your answers into the boxes

Answers

Answer:

[tex]y < \frac{1}{3}x + 2\\y \leq -2x + 2[/tex]

Step-by-step explanation:

The equation of a line can be simply found via slope-intercept form-y = mx+b,

where m is the slope and b is the y-intercept.

x + 2y + z = 4

2x - y + 4z = - 8

- 3x + y - 2z = - 1


linear system 3 variables show help again

Answers

Answer:

x = 3

y = 2

z = -3

Step-by-step explanation:

L1         x + 2y + z = 4

L2      2x - y + 4z = - 8  

L3    - 3x + y - 2z = - 1

2L1 - L2

2x + 4y + 2z = 8

-2x +   y - 4z =  8

------------------------------

         5y - 2z = 16        L4

3L1 + L3

3x + 6y + 3z = 12

-3x +   y  - 2z = -1

-----------------------------

        7y +  z = 11            L5

L4 + 2L5

 5y - 2z = 16

14y + 2z = 22

--------------------------

19y        = 38

y = 38 / 19

y = 2

7y +  z = 11

7(2) + z = 11

14 + z = 11

z = 11 - 14

z = -3

x + 2y + z = 4

x + 2(2) + (-3) = 4

x + 4 - 3 = 4

x + 1 = 4

x = 4 - 1

x = 3

Help pls, I will give BRAINLIEST

Answers

6.688 because to average you have to add all and then divide. so 25=167.2lb meaning 167.2/25= amount of weight of one
brainiest?

6.688 because to average, you must add everything and then divide by the number of items. So 25=167.2lb, which means 167.2/25= the weight of one

pls pls pls pls help meeeeeeee

Answers

im pretty sure it’s:
upper bound of 8.9 is 8.95
upper bound of 7.26 is 7.265
then subtract them:
8.95-7.265=1.685

I need help please and thank you​

Answers

Answer:

sjsjsjsddxsssssd

Step-by-step explanation:

ejdjenxxdxgrsxswe

Simplify by dividing

Answers

Answer:

the first one ⇒ -27/20

Step-by-step explanation:

hope this helps :)

Answer:

-27/20

Step-by-step explanation:

Step 1: Flip the division symbol into a multiplication symbol, and flip the fraction -4/9.

[tex]\frac{3}{5}/(-\frac{4}{9}[/tex] [tex]\frac{3}{5} * (-\frac{9}{4})[/tex]

Step 2: Multiply.

[tex]\frac{3}{5} * -\frac{9}{4}[/tex] [tex]\frac{3*(-9)}{5*4}[/tex] [tex]\frac{-27}{20}[/tex] [tex]-\frac{27}{20}[/tex]  

Therefore, the answer is -27/20.

Help please I need to find x and y

Answers

Answer:

[tex]x=6\\y=12[/tex]

Step-by-step explanation:

To find the value of x you can use sin rule

[tex]sin(60)=\frac{oppoaite}{hypotenuse}\\\frac{\sqrt{3} }{2} =\frac{x}{4\sqrt{3} } \\[/tex]

Use cross multiplication

[tex]4*\sqrt{3} *\sqrt{3} =2x\\4*3=2x\\12=2x\\\frac{12}{2} =\frac{2x}{2} \\6 =x[/tex]

To find the value of y you have to use sin rule again

[tex]sin(30)=\frac{opposite}{hypotenuse}\\\frac{1}{2} =\frac{x}{y} \\\frac{1}{2} =\frac{6}{y} \\[/tex]

Use cross multiplication

[tex]y=6*2\\y=12[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

Hey, so I got
x = 5.9 units (just round it to 6)
y= 11.8 units (round it to 12)

Steps:

1) Use Soh Cah Toa to identify the unknown sides.

The side across the angle is the opposite. Therefore, the x side is opposite.
4√5 = 6.9 ( this side is the hypotenuse).
So we have the opposite side and the hypotenuse side. Therefore, we will use sine

2) Sin theta = opp/hyp
Sin 60 = opp/6.9

Multiply both sides by 6.9

6.9(sin60) = opp
5.9 = opp

3) now that you have side x, we will use x to figure out side y.

Identify the sides first. Side x is opposite and side y is the hypotenuse. Use sine to solve for side y

Sin theta = opp/hyp
Sin 30 = 5.9/hyp
0.5 = 5.9/hyp

Divide 0.5 and bring it over to the other side.

= 5.9/ hyp ÷ 0.5/1
= 5.9/hyp x 1/0.5
= 5.9/0.5
= 11.8 units (side Y)

Please help with any question thank uuuu <33

Answers

1. A

2. A

3. D

4. A

5. D

6. A

7. B

8. C

9. D

If a line has slope -4/3 and passes through the point (-3, 7), what is the y-intercept of the
line?

Answers

Answer:

y- intercept = 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - [tex]\frac{4}{3}[/tex] , then

y = - [tex]\frac{4}{3}[/tex] x + c

To find c substitute (- 3, 7 ) into the equation

7 = - [tex]\frac{4}{3}[/tex] (- 3) + c

7 = 4 + c ⇒ c = 7 - 4 = 3 ← y- intercept

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