Answer:
I'm assuming we're solving for the hypotenuse, which is 21.5
Step-by-step explanation:
If a^2+b^2=c^2
Then 19^2+10^2 =461
This is c^2 so we must find the square root of 461
the square root of 461 is 21.47, or 21.5 rounded to the nearest tenth
Finding the discriminate of a quadratic formula determines the number and type of answers.
The formula is b^2 -4(ac)
a = 6. b = -7 and c = -4
-7^2 -4(6*-4) = 145
The answer is a positive number so this means there are 2 real solutions.
Answer:
value of x = 5.8 mm
Step-by-step explanation:
We have given,
Two right triangles EDH and EDG.
In right triangle EDH, EH = 56mm , DH = 35 mm
Using Pythagoras theorem we can find ED.
i.e EH² = ED²+DH²
56²=ED²+35²
ED²=56²-35²
ED = √(56²-35²) = 7√39 = 43.71 mm
Now, Consider right triangle EDG
Here, EG=44.8mm , GD = x+4 and ED = 7√39
Again using Pythagoras theorem,
EG² = ED² + DG²
44.8²= (7√39)²+ (x+4)²
(x+4)² = 44.8² - (7√39)²
x+4 = √(44.8² - (7√39)²)
x+4 = 9.8
or x = 9.8 - 4 = 5.8 mm
Hence we got the value of x = 5.8 mm
Answer:
The point of intersection between the 2 graphs.
12:00-9:30 = 2:30
12:30+8:30 = 8:30
2:30 + 8:30 = 11:00
11 total hours elapsed
