Answer:
f(5) = 136.71875
Step-by-step explanation:
f(5) if f(1)=3.5 and f(x+1)=5\2 f(x)
f(2) = (5/2)* f(1) = (5/2)* 3.5 = 8.75
f(3) = (5/3)*f(2) =(5/2) * 8.75
f(4) = (5/3)*f(3) =(5/2)*(5/2) * 8.75
f(5) = (5/3)*f(4) = (5/3)*(5/2)*(5/2) * 8.75
f(5) = (5/2)^4 * 3.5 = (625/16) * 3.5 = 136.71875
f(5) = 136.71875
32 because 8 inches x 4 sequins per inch is 32 sequins
Hope i helped
Work shown above! Answer is
a = 5 b = -2 c = 0
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:
Step-by-step explanation:
We have been given that the rectangle has an area of 
square meters and a length of 
. We are asked to find the width of rectangle.
Since we know that area of a rectangle is width times length of the rectangle, so we can find width of our given rectangle by dividing given area by length of rectangle.
Upon substituting our given values in above formula we will get,
Using exponent rule for quotient 
we will get,
Therefore, width of our given rectangle will be 9x meters.
