Answer:
Step-by-step explanation:
We know that the missing angle is 45 degrees and the hypotenuse is 14.
If both side angles equal to 45, according to base angle theorem, this triangle is isosceles.
Since this triangle is isosceles, the two legs must be equal. Let x be the legs.
According to the 45 45 90 triangle theorem, the hypotenuse is equal to 
*x
If 14 = 
= x
Rationalize denominator
The answer is
Hope this helps :)
Answer:
82 in
Step-by-step explanation:
Answer:
x = -8/2
Step-by-step explanation:
To make the equation easier to work with, our first step will be to make all of our fractions have a common denominator. Both 2 and 4 are factors of 8, so that will be our common denominator.
Old Equation: 1/4x - 1/8 = 7/8 + 1/2x
New Equation (with common denominators): 2/8x - 1/8 = 7/8 + 4/8x
Now, we're going to begin to isolate the x variable. First, we're going to subtract 2/8x from both sides, eliminating the first variable term on one side completely.
2/8x - 1/8 = 7/8 + 4/8x
-2/8x -2/8x
__________________
-1/8 = 7/8 + 2/8x
We're one step closer to our x variable being isolated. Next, we're going to move the constants to the left side of the equation. To do this, we must subtract by 7/8 on both sides.
-1/8 = 7/8 + 2/8x
- 7/8 -7/8
______________
-1 = 2/8x
Our last step is to multiply 2/8x by its reciprocal in order to get the x coefficient to be 1. This means multiply both sides by 8/2.
(8/2) -1 = 2/8x (8/2)
The 2/8 and 8/2 cancel out, and you're left with:
-8/2 = x
I hope this helps!
Answer:
0.026
Step-by-step explanation:
Twenty-Six = 26 ( But for simplicity in the Next Step write it as 26.)
- Tenths means to move the Decimal Point 1 Place Left
- Hundredths means to move the Decimal Point 2 Place Left
- Thousandths means to move the Decimal Point 3 Place Left
Then Twenty-Six Thousandths = 0.026
Answer:
Step-by-step explanation:
Relationship Equation between time and shrimps cleaned : S = 4T; Relationship is inversely proportional; Unit rate of change = 4
Given : 4 Shrimps cleaned every minute.
So, Shrimps cleaned 'S' = 4 times minutes taken 'T' ; S = 4T
The relationship between variables is proportional, as the dependent variable (shrimps) is constant multiples times the independent variable (time), & their ratio remains constant.
It is directly proportional, as both variables (shrimps & time) move in same direction. One variable increase or decrease, other variable same respectively.
Graph in this case is upward sloping curve from origin, because of direct proportional relationship respectively.
Unit rate of change denotes constant magnitude of change in a variable with other variable. It is 4 in this case, as time increases the shrimps.
