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:
x = 1 y = -4
Step-by-step explanation:
- Plug the value of y into the other equation.
x + 3y = -11
x + 3(-4x) = -11
x - 12x = -11
-11x = -11
x = 1
- Now substitute the value of x into any equation.
y = -4x
y = -4(1)
y = -4
1 pint = 16 fluid ounces.
Multiply number of pints by 16 to find total ounces:
8 x 16 = 128 fluid ounces.
Answer:
-70x, 26y^3, -3z
Step-by-step explanation:
The way to solve this is by combining like terms. The terms we have given to us include x, y^3, and z. As a result, we will group terms based on these variables.
1. Find all the terms with each variable.
* -35x, -35x
* 23y^3, 3y^3
* -3z
2. Combine like terms.
* -35x + (-35x) = -35x - 35x = -70x
* 23y^3 + 3y^3 = 26y^3
* -3z + 0 = -3z
Answer:
96=s*12 or s=96/12 or 12=96/s. but the answer is 8
Step-by-step explanation:
hope this is helpful.
