Answer:
Equation: 500 = 50 + 15x
Step-by-step explanation:
where x is the number of weeks Nick will have to deposit $15 in order to accumulate $500, given that the first week he deposited $50.
500 = 50 + 15x
500 = 50 + 15x
450 = 15x
x = 30
Now Nick will have to deposit $15 each week for 30 weeks. This is in addition to the $50 deposit he made week 1. So it will take him 31 total deposits to accumulate the $500.
Answer:
B. 4,1
Step-by-step explanation:
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 

Step-by-step explanation:
ar of quadilateral
=16×7×7×20
=12080cmsq
Answer:
see explanation
Step-by-step explanation:
let pq = x
given oq - pq = 1 then oq = 1 + x
Using Pythagoras' identity, then
(oq)² = 7² + x²
(1 + x)² = 49 + x² ( expand left side )
1 + 2x + x² = 49 + x² ( subtract 1 from both sides )
2x + x² = 48 + x² ( subtract x² from both sides )
2x = 48 ( divide both sides by 2 )
x = 24 ⇒ pq = 24
and oq = 1 + x = 1 + 24 = 25 ← hypotenuse
sinq =
= 
cosq =
= 