Answer:
Last year there were 550 bison in the heard and this year it is 10% larger.
10% is also 10/100 or 0.10
To find 10% of the heard last year
550 x.0.10 = 55. To find the number in the heard this year add 550 (last year) + 55 (10% growth) = 605 or,
to find how many there are now last years heard size was 100% of the heard or 1.00. To find any percent more add it to 1.00 and multiply by the starting amount.
550 x 1.10 = 605
For the second example.
If there are 550 bison in the heard this year, and this year was a decrease of 10% from last year we can express last year's number like this.
550 = (x - (x * 0.10)) simplify;
550 = 1x - 0.10x
550 = 0.90x
Divide both sides by 0.90
x = 611.11 but it's hard to have 0.11 of a bison so realistically 611 bison last year. Subtract 10% or 61 and you indeed have 550 this year.
Answer:
x = 7.99 cm
Step-by-step explanation:
By applying cosine rule in the given triangle,
AC² = AB² + BC² - 2(AB)(AC)cosC
Substitute the measures of the sides and the angle in this formula,
x² = 6² + 10² - 2(6)(10)cos(53°)
x² = 36 + 100 - 72.217
x² = 63.782
x = √(63.782)
x = 7.99 cm
How to find the x intercept of 3y=2x-6: (when y is 0)
3(0) = 2x - 6
0 = 2x - 6
+6 + 6
-------------------------
6 = 2x
------ -----
2 2
x = 3
How to find the y intercept of 3y=2x-6: (when x is 0)
3y = 2(0) - 6
y = 0 - 6
3y = -6
------ -----
3 3
y = -2
Let the only force acting on the ball is the gravity (free-failing) and the ball was initially stationary
vo = 0
s = vot + 1/2 gt^2
s = 1/2 x 10 x (2.2) ^2 = 24.2 m
Answer:
The second one
Step-by-step explanation: