Answer:
FH = 108
Step-by-step explanation:
The given figure requires we use the Pythagorean theorem to write two relations involving right triangle side lengths. The Pythagorean theorem tells us the square of the hypotenuse is the sum of the squares of the other two sides.
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<h3>Triangle EGH:</h3>
EG² = GH² +HE²
GH² = EG² -HE² = 53² -28² = 2025 . . . . . solve for GH², use given values
<h3>Triangle FGH:</h3>
FG² = GH² +FH²
FH² = FG² -GH² = 117² -2025 = 11664 . . . . solve for FH², use known values
FH = √11664 = 108 . . . . . take the square root
The length FH is 108.
Answer:
The system don't have a unique solution
Step-by-step explanation:
We define the problem in different variables:
Dried Fruit is going to be x
Almonds are going to be y
So, in this new terms we have that a small bag (S) and a large bag ( L) are going to be represented by:
- 3x+4y=S
- 4
x+6y=L
If we multiply both sides of the first equation by 1.5 we got this:
- 4x+6y=1.5S
- 4x+6y=L
Therefore we can notice that the system of equations has an unlimited number of soltions because is a consistent and dependent system.
Answer:
the width and diameter are the same because all such pairs of parallel tangent lines have the same distance.
Step-by-step explanation:
In geometry, a diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. ... For a curve of constant width such as the Reuleaux triangle, the width and diameter are the same because all such pairs of parallel tangent lines have the same distance.
Answer:
The another term for the 4% value is : Margin of error
Step-by-step explanation:
Dr. Cyril conducts a simple random sample of 500 men.
He finds that 23% of them report being unsure of their ability to be good fathers, plus or minus 4%.
Now, the another term for the 4% value is : Margin of error
Means the estimate of father being unsure about his ability would be between 19% and 27%.
When sample size is increased, the margin of error becomes smaller.
To find the answer look for opinions where 1 person can't have multiple.
Add them all up and you'll get your answer, there are 33 total colleagues in the group.
