Answer:
The length of b is 
.
Step by step explanation:
Given information: In ΔABC, ∠A =∠C, ∠B = ß (where ß is an acute angle), and BC = x.
Since two angles are same therefore triangle ABC is an isosceles triangle and side AB and BC are congruent.
According to Law of cosine
Therefore the length of b is .
Answer:
w = 7 cm
Step-by-step explanation:
Volume = 252 cm³
Height, h = 3cm
Let width = w
Length, l = w + 5
Volume of rectangular prism, V = l * w * h
252 = (w + 5) * w * 3
252 = (w + 5) * 3w
252 = 3w² + 15w
3w² + 15w - 252 = 0
w² + 5w - 84 = 0
w² + 12w - 7w - 84 = 0
w(w + 12) - 7(w + 12) = 0
(w + 12) = 0 or (w - 7) = 0
w = - 12 or w = 7
w cannot be negative
Hence, w = 7 cm
Answer:
$25.66
Step-by-step explanation:
Given data
Total Bill before tax and tip= $27.30
Tax= 9%
Tip= 15%
Let us find the tax
=9/100*27.30
=0.09*27.30
=$2.457
Let us find the tip
=15/100*27.30
=0.15*27.30
=$4.095
Therefore his bill after tax and tip is
=27.30+2.457-4.095
=$25.66
Answer:
Step-by-step explanation:
Answer:
Decimal - 0.4
Fraction - 2/5
Step-by-step explanation:
