The first number is 15 and the second number is 8.
<u>Step-by-step explanation</u>:
Let us assume,
- First number be 'x'.
- Second number be 'y'.
<u>Given</u> :
Sum of four times a first number and a second number is 68.
⇒ 4x + y = 68
⇒ y = 68-4x
If the first number is decreased by twice the second number the result is -1.
⇒ x - 2y = -1
Substitute y = 68-4x in the above equation.
⇒ x - 2(68-4x) = -1
⇒ x-136+8x = -1
⇒ 9x - 136 = -1
⇒ 9x = -1+136
⇒ x = 135/9
⇒ x = 15
The first number is 15.
The second number is y = 68-4x.
⇒ y = 68 - 4(15)
⇒ y = 68-60
⇒ y = 8
The second number is 8.
Answer:
r
>
43
Step-by-step explanation:
<span>How does the volume of an oblique cylinder change if the radius is reduced to 2/9 of its original size & the height is quadrupled?
Volume of an oblique cylinder = </span>π * r² * h
radius is reduced to 2/9 of its original size = r * 2/9 = (2r/9)
height is quadrupled = h * 4 = 4h
Volume of an oblique cylinder = π * (2r/9)² * 4h
Assume: r = 9 ; h = 10
V = π * 9² * 10 = 3.14 * 81 * 10 = 2,543.40
V = π * (2²) * (10*4) = 3.14 * 4 * 40 = 502.4
The new volume decrease and is almost equivalent to 20% of the original volume.
Answer:
The side lengths are 32 units each
Step-by-step explanation:
Given
Required
The side lengths and missing angles
Since JKMN is as square, then:
-- all sides are equal
Collect like terms
Divide by -2
Substitute in
The missing angles can't be solved without an attachment.
<em>However, if the missing angles are the angles at the edges of the square, then they measure 90 degrees each (i.e. angles at right angle)</em>
