Answer:
x = 7
Step-by-step explanation:
Given the base of the triangle is 6 and the line dividing the triangle is x. To get x divide the triangle into two equal halves. When you do so,you’ll have a right triangle with x as the opposite , 8 as the hypotenuse and the adjacent as 3.
Using Pythagoras theorem, we have
8^2 = x^2 + 3^2
8 x 8 = x^2 + 3 x 3
64 = x^2 + 9
Subtract 9 from both sides
64 - 9 = x^2 + 9 - 9
55 = x^2
X^2 = 55
x = squared root of 55
x = 7.4
x = 7
You're given that φ is an angle that terminates in the third quadrant (III). This means that both cos(φ) and sin(φ), and thus sec(φ) and csc(φ), are negative.
Recall the Pythagorean identity,
cos²(φ) + sin²(φ) = 1
Multiply the equation uniformly by 1/cos²(φ),
cos²(φ)/cos²(φ) + sin²(φ)/cos²(φ) = 1/cos²(φ)
1 + tan²(φ) = sec²(φ)
Solve for sec(φ) :
sec(φ) = - √(1 + tan²(φ))
Given that cot(φ) = 1/4, we have tan(φ) = 1/cot(φ) = 1/(1/4) = 4. Then
sec(φ) = - √(1 + 4²) = -√17
Answer:
4
Step-by-step explanation:
Equation 1
Equation 2
What is the value of 
where each variable represents a real number?
Let's expand equation 1:
Simplify each term if can:
See if we can factor a little to get some of the left hand side of equation 2:
The first two terms have 
and if I factored from first two terms I would have 
which is the first term of left hand side of equation 2.
So let's see what happens if we gather the terms together that have the same variable squared together.
Factor the variable squared terms out of each binomial pairing:
Replace the sum of those first three terms with what it equals which is 6 from the equation 2:
Combine like terms:
Subtract 6 on both sides:
Divide both sides by 3:
Since there are 24 hours in a day and you want to figure out how many pounds a baby blue whale gains per hour you divide 200 by 24. You should get 8.3 as you answer. Hope I helped with that!
Answer:
Mikhail is 36
Step-by-step explanation:
Take 48 and Subtract 12. That is your answer.
