Let n be the larger integer and n-2 be the smaller integer.
n² - (n - 2)²
= n² - (n - 2)(n - 2)
= n² - (n² - 4n - 4)
= n² - n² + 4n + 4
= 4n + 4
= 4(n + 1)
No matter what value n is, it will always be a multiple of 4.
That is height
h=16t^2+16t+480
when h=0 is when it hits the water
0=16t^2+16t+480
undistribbute 16 for ease
0=16(t^2+t+30)
16*0=0 so assume
t^2+t+30=0
factor
(t+6)(t-5)=0
set to zero
t+6=0
minus 6
t=-6
false, since you cannot have negative time
t-5=0
add 5
t=5
at t=5 she hits the water
5 seconds
Answer:
The initial value of 600 is larger and larger by 24.
Step-by-step explanation:
First of all a 20% decreased of 600.
So, the new value will be .
Now, then it is increased by 20% i.e. 480 will be increased by 20%.
So, the new value will be .
Therefore, the initial value of 600 is larger and larger by (600 - 576) = 24. (Answer)
$9.75 because one taco is 0.75 and 13 x 0.75 is $9.75
Answer:
Step-by-step explanation:
To solve this question we're going to use trigonometric identities and good ol' Pythagoras theorem.
a) Firstly, sec(θ)=52. we're gonna convert this to cos(θ) using:
we can substitute the value of sec(θ) in this equation:
and solve for for cos(θ)
side note: just to confirm we can find the value of θ and verify that is indeed an acute angle by
b) since right triangle is mentioned in the question. We can use:
we know the value of cos(θ)=1\52. and by comparing the two. we can say that:
- length of the adjacent side = 1
- length of the hypotenuse = 52
we can find the third side using the Pythagoras theorem.
- length of the opposite side = √(2703) ≈ 51.9904
we can find the sin(θ) using this side:
and since