AS we don't know the width so let consider width=x inches
According to given condition
length = (3x -5) inches
TV screen is rectangular shaped so
Perimeter= 2( length +width) =2{(3x-5)+ (x)} equation 1
also given Perimeter = 150 inches equation 2
comparing equation 1 &2
2{(3x-5)+ (x)} =150
2{3x-5+x} =150
2{4x-5} =150
8x-10 =150
Adding 10 both sides
8x -10 +10 =150+10
8x=160
dividing 8 both sides
8x/8= 160/ 8
x= 20 inches width of screen.
length =( 3x-5) ={3(20) -5}
=60-5
length =55
The answer is x-8x=10, trust me i am in 7th grade but in college math!
18 cups in 9 pints because
their are 2 pints in a gallon and 2 cups
in one pint so ...
each pint has 2 in it so we do
9x2=18 cups
I hope this helps
Give brainest
Answer:
105 degrees
Step-by-step explanation:
To start this think about what you know has to be true about this:
- Angle WRQ and PRQ when added will equal 180
- Triangle PRQ when all the angles are added will equal 180
- We have to find x to find what the angle measure of angle WRQ is
So let's start to write an equation:
Let's say angle PRQ is y.
20x + 5 + y = 180
27 + y + 14x + 8 = 180
Now let's use substitution to solve for y:
20x + 5 + y = 180
subtract 5 from both sides:
20x + y = 175
subtract 20x from both sides:
y = -20x + 175
Let's now plug in y to our other equation:
27 + (-20x + 175) + 14x + 8 = 180
now combine all like terms:
-6x + 210 = 180
now solve for x:
subtract 210 from both sides:
-6x = -30
divide both sides by -6:
x = 5
Now that we have x, let's plug it in for the equation of angle WRQ:
20(5) +5
Simplify:
105
Hope this helps!
Answer:
x^2+y^2+z^2-10x-6y-10z +50 =0
Step-by-step explanation:
Given that a sphere is contained in the first octant
Centre of the sphere is given as (5,3,5)
Since this is contained only in the first octant radius should be at most sufficient to touch any one of the three coordinate planes
When it touches we can get the maximum sphere
We find that y coordinate is the minimum of 3 thus radius can be atmost 3 so that then only it can touch y =0 plane i.e. zx plane without crossing to go to the other octants.
Hence radius =3
Equation of the sphere would be