Answer:5π/12
Step-by-step explanation:
180°=π
75°=x
x=75π ➗ 180
x=5π/12
Let 1st integer = xLet 2nd integer = x + 1 We set up an equation. x(x + 1) = 195 x2 + x = 195 x2 + x - 195 = 0
We will use the quadratic formula: x = (-b ± √(b2 - 4ac) / (2a) x = (-1 ± √(1 - 4(-195))) / 2 x = (-1 ± √(781)) / 2 x = (-1 ± 27.95) / 2 x = 13.48x = -14.78
<span>We determine which value of x when substituted gives us a product of 195.</span> 13.48(14.48) = 195.19-14.48(-13.48) = 195.19 <span>The solution is 2 sets of two consecutive number</span> <span>Set 1</span> The 1st consecutive integer is 13.48The 2nd consecutive integer is 14.48
<span>Set 2</span> The 1st consecutive integer is -14.48The 2nd consecutive integer is -13.48Hopefully this helped, hard work lol :)
For 1 - 12y < 3y+1; y > 15
For 2 - 6y > 4 + 4y; y < -0.2
The given inequalities are:
1 - 12y < 3y + 1
2 - 6y > 4 + 4y
For 1 - 12y < 3y + 1:
1 - 12y < 3y + 1
Collect like terms
-12y - 3y < 1 - 1
-15y < 0
Multiply both sides by -1
-1(-15y) > 0(-y)
15y > 0
Divide both sides by 15
y > 0/15
y > 15
For 2 - 6y > 4 + 4y
Collect like terms
-6y - 4y > 4 - 2
-10y > 2
Multiply both sides by -1
-1(-10y) < 2(-1)
10y < -2
y < -2/10
y < -0.2
Learn more here: brainly.com/question/11316045
The rectangular prism has the greatest volume
Rectangular Prism Volume= 72
Triangular Prism Volume = 70
Volume formulas:
(R.Prism) V=l•w•h
(T. Prism) V= b•h
Work:
(R.Prism)
V= 4•6•3
V= 72
(T.Prism)
V= (1/2•4•5)(7)
V= 70
Hope this helps
Answer:
6.338
this is the same because thousandths means 3 decimal places and it already has only 3 places, so it is already rounded to the thousandths. Rounded to hundredths place would be 6.34 and tenths would be 6.3.