These calculations are based on the drawing of the file enclosed.
There are three right triangles.
From the big right triangle:
a^2 + b^2 = 25^2
From the small right triangle on the left side:
(25-x)^2 + 10^2 = a^2
From the small right triangle on the right side
x^2 +10^2 = b^2
=> (25-x)^2 + 10^2 + x^2 + 10^2 = a^2 + b^2
=> (25-x)^2 + 10^2 + x^2 + 10^2 = 25^2
=> 25^2 - 50x + x^2 + 10^2 + 10^2 = 25^2
=> x^2 -50x + 100 =0
Use the quadratic formular to find the roots:
x = 2.1 and x = 47.9
Distance from back: 25 - 2.1 = 22.9 ft
Answer: 22.9 ft
Answer:
Mrs. Etercsid
Step-by-step explanation:
One thing we can do is just multiply the averages by the percents in each class and compare from there.
To get from percentages to decimals, we can divide by 100.
For Mr. Tats:
Homework: 25 % -> 0.25
Participation: 10% -> 0.1
Test: 40% -> 0.4
Final: 0.25 -> 0.25
For Mrs. Etercsid:
Homework: 15% -> 0.15
Participation: 10% -> 0.1
Test: 60% -> 0.6
Final: 15% -> 0.15
We can then multiply the averages by the decimals for each teacher and add them up.
Mr. Tats:
0.25 * 81 + 0.1 * 57 + 0.4 * 93 + 0.25 * 87 = 84.9
Mrs. Etercsid:
0.15 * 81 + 0.1 * 57 + 0.6 * 93 + 0.15 * 87 = 86.7
You would get the higher grade with Mrs. Etercsid
Answer:
J=38
Step-by-step explanation:
Subtract 7 to both sides so J/-2=-19
Then multiply -2 to both sides to get -19 times -2
That equals to 38
Answer:
y= -3
Step-by-step explanation:
(-7/2)y =21/2
Divide both sides by (-7/2) = Multiply by (-2/7)
On the left side ,after cancellation you have only y
On the right side you multiply 21/2 by (-2/7)
y= (21*-2) / 2*7
y=(-42)/14
y=(-21)/7
y=- 3
check:
-(7/2) of- 3 is 10.5 21/2=10.5
Gravity pulls you to earth at velocity of 9.8 m/s. In the first 40 seconds, Jason would fall (9.8) x (40) = 392 meters.
