Answer:
75%
Step-by-step explanation:
20-5=15 - change in numbers
15/20×100%= 75%
Use math papa it’s a good thing it’s on the browser
Hey user!!!
given the radius of the cylindrical mold is 2 inches and height is 3 inches.
volume of the cylindrical mold = πr²h
= 3.14 × 2 × 2 × 3
= 37.68 in³
radius of the spherical mold is given = 2 inches
volume of the spherical mold = 4/3πr³
= 4/3 × 3.14 × 2 × 2 × 2
= 100.48/3 in³
difference between the amount of wax needed = 37.68/1 - 100.48/3
= ( 113.04 - 100.48 ) / 3
= 12.56/3
= 4.186...
so approximately 4.19 in³
hence, correct option is 4.19 in³
cheers!!!
Answer:
x = all real numbers
Step-by-step explanation:
first you need to solve the first equation to figure out what y is.
4x - y = 2
<em>add y to both sides of the equation</em>
4x = 2 + y
s<em>ubtract 2 from both sides of the equation</em>
4x - 2 = y
now that you know what y is, you can substitute it in the next equation.
3y = 12x - 6
3(4x - 2) = 12x - 6
<em>open the parenthesis </em>
12x - 6 = 12x - 6
<em>subtract 12x from both sides of the equation</em>
-6 = -6
regardless of what x is, -6 will always equal -6.
so, the answer is all real numbers.
9514 1404 393
Answer:
72
Step-by-step explanation:
The triangles are said to be similar. (ΔNPQ ~ ΔRSQ) That means corresponding sides have the same ratio:
NP/RS = NQ/RQ = PQ/SQ = 24/32 = 21/28 = 3/4
This ratio, or scale factor, also applies to the perimeters of the two triangles.
perimeter NPQ / perimeter RSQ = 3/4
Using the given expressions for the perimeters, we have ...
(7x +2)/(10x -4) = 3/4
We can solve this equation in the usual way to find the value of x. Then we can use that value to find the perimeter of ΔNPQ.
4(7x +2) = 3(10x -4) . . . . . multiply both sides by 4(10x -4)
28x +8 = 30x -12 . . . . . eliminate parentheses
20 = 2x . . . . . . . . . . . add 12-28x to both sides
10 = x . . . . . . . . . . . divide both sides by 10
The perimeter of ΔNPQ is ...
7x +2 = 7(10) +2 = 72
The perimeter of triangle NPQ is 72 units.
