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.
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?
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
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.
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
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I need help please and thank you
Answer:
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Step-by-step explanation:
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pls pls pls pls help meeeeeeee
London $42 for working 2.5 hours at this rate how much does she earn for working six hours
100.8
6/2.5=2.4
2.4×42=100.8
x + 2y + z = 4
2x - y + 4z = - 8
- 3x + y - 2z = - 1
linear system 3 variables show help again
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
-10x + 35 + 5x=-5x + 20 (I need a step by step solving/ Show your work)
Answer: Answer in Photo
I need help fast please
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.
What was one benefit of New Orleans's location?
O It was viewed as the perfect spot for trade.
O It was free from weather issues such as flooding.
O It was close to other colonies' political centers.
O It was easy to defend due to its high elevation.
Pls HURRY IM TIMED I REALLY NEED THE ANSWER!!
Answer:
it was viewed as the perfecto spot for trade
Answer:
a
Step-by-step explanation:
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).
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+4Can someone please help me?
Answer:=Sin=6.1/9.9
sin^-1(6.1/9.9)=38.03637396
Step-by-step explanation:
Help pls, I will give BRAINLIEST
Which line segments have a positive slope?
Answer:
CD and EF .....................
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
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
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?
Answer: y=35/3x
Step-by-step explanation:
got right on test
a. If the average ticket price is $15
for a Chesapeake Bayhawks
game, what function T(x) shows
how the income from ticket sales
depends on the attendance at
each game?
Answer:
He had been in a hospital with friends since his birth
Please help with any question thank uuuu <33
1. A
2. A
3. D
4. A
5. D
6. A
7. B
8. C
9. D
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
[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°If AABC = APQR, then
AC = [?]
Enter
Calculate the length between the following
points using the distance formula.
Help please
Answer:
S^2 = ((9 - (-3))^2 + ((3 - (-2))^2 = 12^2 + 5^2 = 169
S = (169)^1/2 = 13
which of the following expressions is equal to -x^2-81
Answer: it is going to be answer a
Ayuda con esto vale 7.5% de la nota doy 15 puntos
Answer:
dagdagan mo hoy daya
Step-by-step explanation:
1733
I'm also stuck on this one! Help!
Answer:
a = 58
Step-by-step explanation:
90-32=58
HOPE THIS HELPS :)
Tavia earns $10.04 per hour. If Tavia works for 30 hours, how much does she earn?
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.
-2y=2 what is the solution of this equation
Answer:
wouldnt it be y=4?
Step-by-step explanation:
Simplify by dividing
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.
If a line has slope -4/3 and passes through the point (-3, 7), what is the y-intercept of the
line?
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
Help please I need to find x and y
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 :-)
What system of linear inequalities is shown in the graph
Enter your answers into the boxes
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.
How to solve this? Can you help me
Step-by-step explanation:
the area of the trapezium =
½(3x-1+x+3)(x-3)=
½(4x+2)(x-3)=
(2x+1) (x-3) =
2x²-6x+x-3=
2x²-5x-3 (option B)