Answer:
2/3 ( 3x - 4 ) + 3x = 5/6
2x - 8/3 + 3x = 5/6
5x - 8/3 = 5/6
6(5x -8/3) = 6x5/6
30x - 16 = 5
<u> +16 +16</u>
<u>30x = 21</u>
30
x = 21/30
x = 0.7
Step-by-step explanation:
- distribute the bracket by 2/3
- combine like-terms
- multiply both sides by 6 (lcm of 3 and 6)
- add 16 to both sides
- divide both sides by 30 to get x
Answer:
Step-by-step explanation:
Here, we have the known angle sandwiched between two known sides.
So, we have SAS.
And we want to find the side opposite to the angle.
Therefore, we can use the Law of Cosines:
Again, it is important what we substitute.
a and b are the two side lengths. So, we will substitute 8 for a and 13 for b.
C is our angle. So, substitute 64 for C.
And c is what we’re trying to solve.
Therefore:
Simplify:
Add:
Take the square root of both sides:
Use a calculator. So, c is approximately:
The c is our y. So, y is approximately 11.9 units.
Answer: Length: 21 cm Width: 7 cm
Step-by-step explanation:So, two of the sides are 3 units long, and two of the sides are 1 unit long. The total number of units in the perimeter of the rectangle is 8.
56cm / 8units = 7cm/unit
So, the length of the rectangle is 7cm/unit x 3 units, or 21 cm.
The width of the rectangle 1/3 of the length, or 7cm.
Length: 21 cm
Width: 7 cm
Answer:
Choices 4 & 2
Step-by-step explanation:
-7x+14> -3x -6
-14. -14
-7x> -3x -20
+3x. +3x
-4x> -20
Divide eah side by negative four with gets u 5 but since you divided by a negative you have to flip the sign
x<5 instead of x>5
So 5 and 10 are greater than x making them the answers to the inequality
Answer:
20/60 = 33%
18/60 = 30%
21/60 = 35%
31/60 = 52%
Step-by-step explanation:
Just divide em'
Simple as that.
