Step-by-step explanation:
Answer:
see beleow
Step-by-step explanation:
Let's solve your equation step-by-step.
5.1+2.3x=23.5
Step 1: Simplify both sides of the equation.
2.3x+5.1=23.5
Step 2: Subtract 5.1 from both sides.
2.3x+5.1−5.1=23.5−5.1
2.3x=18.4
Step 3: Divide both sides by 2.3.
2.3x
2.3
=
18.4
2.3
x=8
Answer:
x=8
Answer:
99.33ft^2
Step-by-step explanation:
The surface area of a square pyramid is expressed as;
TSA = a²+2a√a²/4 + h²
Given that
a = 5ft
h = 7ft
Substitute
TSA = 5²+2(5)√5²/4 + 7²
TSA = 25+10√25/4 + 49
TSA = 25 + 10√(221/4)
TSA = 25 + 10(√55.25)
TSA = 25 + 10(7.433)
TSA = 25 + 74.33
TSA = 99.33ft^2
Hence the surface area of a square pyramid with side length 5 ft and slant height 7 ft is 99.33ft^2
Answer:
abc = - 126
Step-by-step explanation:
(2x + 3)(3x - 1) ← expand product using FOIL
= 6x² + 7x - 3 ← in standard form
with a = 6, b = 7, c = - 3
Then
abc = 6 × 7 × (- 3) = - 126
The question is not complete because it is not written correctly
Complete Question:
The drama club is holding auditions for five different parts in a one act play. If 9 people audition, how many ways can the roles be assigned?
a. 362,880
b. 15,120
c. 126
d. 120
Answer:
b. 15,120
Step-by-step explanation:
In other to solve the question above, we would use the formula for permutation.
This is because when assigning 5 DIFFERENT roles to 9 people, the order of assigning the roles is important. The formula for permutation, is used when order is involved.
Permutation (n, r) = nPr = n!/(n - r)!
In the above question,
n = 9 people
r = 5 different parts
9P5 = 9!/(9 - 5)!
= 9!/4! = 9×8×7×6×5×4×3×2×1/ 4×3×2×1
= 362880/ 24
= 15,120
Therefore, the number of ways that the roles can be assigned is 15,120 ways
