Answer:
36 cm³
Step-by-step explanation:
V = lwh
you can separate the figure into a 2 ×2 × 3 rectangular prism on left which gives you a volume of 12
the remaining portion is 2 × 2 × 6 which gives a volume of 24
12 + 24 = 36 cm³
So 2/3=x/(3x+y)
multiply both sides by 3x+y
(2(3x+y))/3=x
(6x+2y)/3=x
multiply by 3
6x+2y=3x
subtract 6x form both sdies
2y=-3x
-3x=2y
the ratio of x to y is
-3:2
Answer: 18x + 12
Step-by-step explanation:
Step #1: Determine the length of each side.
The polygon is regular, so all the sides are equal. Thus, all sides measure 3x+2.
Step #2: Determine the number of sides in the polygon.
This polygon is identified as a hexagon meaning it consists of 6 sides.
Step #3: Set up an expression and distribute.
(Number of sides) x (Length of each side)
(6)(3x+2)
- 6 times 3x equals positive 18x
- 6 times 2 equals positive 12
So, the answer is 18x + 12.
Answer:
Use the cosine function where x° = 63.43°
Step-by-step explanation:
In relation to angle x°, side 3 is adjacent, and side 3√5 is the hypotenuse. Therefore, the trig function that uses the adjacent and hypotenuse is the cosine function. You would then set your equation up and solve for x°:
cos(x°) = adjacent/hypotenuse
cos(x°) = 3/(3√5)
x° = cos⁻¹(3/(3√5))
x° = 63.43°
<u>Answer:</u>
The value of x is in the solution set of 3(x – 4) ≥ 5x + 2 is -10
<u>Solution:</u>
Need to determine which value of x from given option is solution set of 3(x – 4) ≥ 5x + 2
Lets first solve 3(x – 4) ≥ 5x + 2
3(x – 4) ≥ 5x + 2
=> 3x – 12 ≥ 5x + 2
=> 3x – 5x ≥ 12 + 2
=> -2x ≥ 14
=> -x ≥ 7
=> x ≤ -7
All the values of x which are less than or equal to -7 is solution set of 3(x – 4) ≥ 5x + 2. From given option there is only one value that is -10 which is less than -7
Hence from given option -10 is solution set of 3(x – 4) ≥ 5x + 2.