A student was required to multiply a number by 4 and add 6 to it. Instead he added 6 to it first and then multiplied by 4. What
1 answer:
Answer:
The correct answer is 18
the correct expression is
Step-by-step explanation:
let the number be n
therefore if he is required to multiply n by 4 and added to 6 we have
given that he did otherwise by adding 6 to n and multiply by 4 we have
Firstly we need to solve for n in equation 2
Dividing both sides by 4 we have
In order to solve for the correct answer let us input n=3 in equation 1 we have
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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