PEMDAS (order of operations rules) require that we perform operations in a certain order: anything inside parentheses first, followed by any exponentiation, followed by mult. and div., finally followed by addition and subtraction.
Thus, we must evaluate 5+8÷4-1 first, as it's inside parentheses. Focusing on the division first, we get 5+8÷4-1 = 5 + 2 - 1, or 6.
Then we have 5 - [6], which comes out to -1.
7000+(600•12)=14200
Linear
Answer:
-3.872983346
Step-by-step explanation:
In this case we have: cos θ = 1/4 Whose possible solutions are: θ = 2 * pi * n - Acos (1/4) θ = 2 * pi * n + Acos (1/4) Where, n belongs to the natural numbers. As sin θ <0 then the solution is: θ = 2 * pi * n - Acos (1/4) For n = 1 we get: θ = 4.965069236 radians Thus: tan θ = tan (4.965069236) = - 3.872983346 Answer: tan θ = -3.872983346
Answer:
1. 23.59 feet
2. 32.9°
Step-by-step explanation:
1. See the diagram attached.
The man is 11 feet distance from the bottom of the tree.
And the angle of elevation from the man to the top of the tree is 65°.
Now, we need to approximate the height of the tree,
Using the trigonometry, we can write
⇒ h = 11 tan 65° = 23.59 feet (Approx.) (Answer)
2. See the diagram attached.
From the given right triangle the hypotenuse is 25 feet and the base is 21 feet.
And the angle between the hypotenuse and the base is the pitch of the ram of a NASCAR turn.
Using trigonometry, we can write
⇒ (Answer)
Answer:
point-slope form: y - 1 = -4/5(x - 8)
slope-intercept form: y = -4/5x + 7.4
Step-by-step explanation:
Find slope using the points (8, 1) and (-2, 9):
m = (y₂ - y₁) / (x₂ - x₁)
= (9 - 1) / (-2 - 8)
= 8 / -10
m = -4/5
Find y-intercept using slope m from above and anyone of the given points, let's use (8, 1):
y = mx + b
1 = -4/5(8) + b
1 = -6.4 + b
b = 7.4
Use slope m and y-intercept b above to form equation of line in slope-intercept form:
y = mx + b
y = -4/5x + 7.4
For point slope form use slope m from above and a point, again let's use (8, 1):
y - y₁ = m(x - x₁)
y - 1 = -4/5(x - 8)