Answer:
D
Step-by-step explanation:
We are given that:
And we want to find the value of tan(2<em>x</em>).
Note that since <em>x</em> is between π/2 and π, it is in QII.
In QII, cosine and tangent are negative and only sine is positive.
We can rewrite our expression as:
Using double angle identities:
Since cosine relates the ratio of the adjacent side to the hypotenuse and we are given that cos(<em>x</em>) = -1/3, this means that our adjacent side is one and our hypotenuse is three (we can ignore the negative). Using this information, find the opposite side:
So, our adjacent side is 1, our opposite side is 2√2, and our hypotenuse is 3.
From the above information, substitute in appropriate values. And since <em>x</em> is in QII, cosine and tangent will be negative while sine will be positive. Hence:
<h2>
</h2>
Simplify:
Evaluate:
The final answer is positive, so we can eliminate A and B.
We can simplify D to:
So, our answer is D.
Answer:See below and attached
Step-by-step explanation:
Given numbers
4.2×10^-6, 2.1×10^-3, 3.1×10^-2, 3.2×10^-5, 3.5×10^-4, 5.8×10^-3, 5.2×10^-4
Greater than 3.1×10^-3
3.1×10^-2, 5.8×10^-3
Between 3.1 × 10^-3 and 4.3 × 10^-5
2.1×10 ^-3, 3.5×10^-4, 5.2×10^-4
Less than 4.3 × 10^-5
4.2×10^-6, 3.2×10^-5
Step-by-step explanation
:
Answer:
Step-by-step explanation:
If y = 2x + 1, then dy/dt = 2(dx/dt).
If y = 2x + 1, then y = 2(40) + 1 when 40 is substituted for x. y = 81.
(a) if dx/dt = 3, find dy/dt when x = 4:
Replacing dx/dt with 3 in dy/dt = 2(dx/dt) yields dy/dt = 2(3) = 6.
(b) if dy/dt = 2, find dx/dt when x = 40:
Replacing dy/dt with 2 in dy/dt = 2(dx/dt) results in 2 = 2(dx/dt), so dx/dt must be 1.
Answer:
<em>2</em><em>5</em><em> </em><em>%</em>
Step-by-step explanation:
Cost price = 60 Ghana cedis for 50 metres
Selling price = 1.50 cedis for 1 meter
x cedis for 50 meters
Cross multiply
Selling price = 75 cedis
Profit = Selling price - Cost price
75 - 60
Profit = 15
Profit % =
Profit % = 25 %
