Sin ø = opposite/hypotenuse = 2/3, cos ø = adjacent/hypotenuse = ?/3, tan ø = opposite/adjacent = 2/?, sec ø = 1/cos ø
to solve ?, Pythagorean theorem must be applied
hypotenuse^2 = adjacent^2 + opposite^2
Manipulating the equation to find the adjacent value = ?
adjacent = sqrt(hypotenuse^2 - opposite^2) = sqrt(9-4)
adjacent = sqrt(5)
so cos ø = sqrt(5)/3, tan ø = 2/sqrt(5) and sec <span>ø = 3/sqrt(5) since the value is positive the possible equivalent trigonometric function should be positive, the answer should be b </span>
Answer:
Step-by-step explanation:
Sin 58° = 0.848 = BC/13
So
BC = 0.848*13 = 11.024
No, they do not have a pattern nor do they flow to get her the difference between 6 and 11 is 5, whereas the difference between 11 and 17 is 6.
Answer:
Equation: $83=5w+25 and 12 walks more
Step-by-step explanation:
Here is an equation: $83=5w+25
The $83 on the left represents the $83 goal for the bike (or the total amount of money that Taylor needs)
The 5w represents that Taylor earns $5 per time she walks the dog, with the w being the number of walks.
The +25 shows that Taylor has already earned $25 from walking the dog. (Not sure if you need it, but the $25 took 5 dog walks –– 5•5=25)
To solve:
83 = 5w + 25 –– Subtract 25 from both sides to get the variable term alone
58 = 5w –– Divide both sides by 5 to get w alone
11.6 = w –– <u>Round this up to 12</u> because you can't really do 3/5 of a walk (this means Taylor needs to walk the dog 12 more times to earn enough to buy the bike)
Check:
83=5w+25 –– Replace w with 12
83=5(12)+25 –– Multiply
83=60+25 –– Add
83=85 –– <u>This shows she will have $2 left over</u>
Answer:
Step-by-step explanation:
hello :
let y the length and x the width
A the area and P the perimeter
so : A= xy and P = 2(x+y) ....y > x and x >0 ; y>0
xy = 1764 ...(1)
y = x +13....(2) put this value in (1) : x (x+13) = 1764
x²+13x -1764 = 0 ...quadratic equation
calculate : Δ = b² -4ac a =1 and b =13 and
c = -1764
Δ = (13)² - 4(1)(-1764) = 169 +7056 = 7225=85²
X1 =(-b-√Δ)/2a =(-13-85)/2 < 0 refused (x >0)
X2 =(-b+√Δ)/2a =(-13+85)/2 = 72/2 = 36
so : x= 36 put this value in (2) : y = 36+13 = 49
the perimeter is : P = 2(x+y)
P = 2(36+49) = 170 m
