Answer:
The exact value of tan(M) is 5/12 ⇒ answer (C)
Step-by-step explanation:
* Lets revise the trigonometry functions
- In ΔABC
# m∠B = 90°
# Length of AB = a , length of BC = b and length of AC = c
# The trigonometry functions of angle C are
- sin(C) = a/c ⇒ opposite side to ∠C ÷ the hypotenuse
- cos(C) = b/c ⇒ adjacent side to ∠C ÷ the hypotenuse
- tan(c) = a/b ⇒ opposite side to ∠C ÷ adjacent side to ∠C
* Now lets solve the problem
- In ΔONM
∵ m∠N = 90°
∵ MN = 12
∵ ON = 5
∵ tan(M) = ON/NM ⇒ opposite side of ∠(M) ÷ adjacent side of ∠(M)
∴ tan(M) = 5/12
* The exact value of tan(M) is 5/12
Answer:
= - 21
+ 6x² + 1
Step-by-step explanation:
Differentiate each term using the power rule
(a
) = na
Given
y = - 3
+ 2x³ + x , then
= (7 × - 3 ) + (3 × 2)x² + (1 × 1 )
= - 21 + 6x² + 1
The expression equivalent to the fort is a) 4(n-3) -6n, if you so the math for the first one do what is inside the parenthesis first. (think PEMDAS) Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction. So the first thing it gives you is -6n +(-12) Well, a negative + a negative = a negative! So, -6+-12= -18, then add your caroable. So, -18n. Now, you add -18n with what you have left so 4n -18+4 is -14n. So, if you do answer a) (n-3) = (1n-3)= (1-3) =-2. -2×4=-8n because a negative × a positive = a negative because they have different signs. From there you have -8n - (6) Instead of subtracting you just add a negative So, you would rewrite your problem as: -8n+(-6)= -14n the same thing you got as your orginal. Hope tj
his helped! Don't forget about adding you variables and PEMDAS!! Also d po not forget about your positive a negative rules!!!
Answer:
Step-by-step explanation:
7) The formula for determining the area of a parallelogram is expressed as
Area = base × height.
Length of base = Area/height
Therefore,
Length of base = 7/2 = 3.5 feet
8) The formula for determining the area of a trapezoid is expressed as
Area = 1/2(a + b)h
Where
a and b are the length of the bases
h is the height. Therefore
21 = 1/2(2 + 4)h
21 = 3h
h = 21/3 = 7 inches
9) Area = base × height.
Height = Area/Length of base
Height = 28/14 = 2 inches
10) a and b are 10 inches each.
Area = 1/2(a + b)h
Therefore,
35 = 1/2(10 + 10)h
35 = 10h
h = 35/10
h = 3 inches
Answer:
The answer is B hope this helps
