Answer:
The answer is
<h2>p > 1/14</h2>
Step-by-step explanation:
-31p+79 > -59p+81
Group like terms
Send the constants to the right side of the expression and those with variables to the left side
That's
- 31p + 59p > 81 - 79
Simplify
We have
28p > 2
Divide both sides by 28
We have the final answer as
<h3>p > 1/14</h3>
Hope this helps you
Answer:
15•4 mm
Step-by-step explanation:
using sine rule
a÷ sinA=c ÷sinC
15•4÷sin90=0•5÷sinC
sinC =0•5 × sin90 ÷ 15•4
C =1•9°
A+B+C= 180
90+B+1•9=180
B= 88•2°
b÷sinB = a÷sinA
b÷sin88•2= 15•4÷sin90
b=sin88•2 ×15•4 ÷sin90
b =15•39
to 1 dp
b =15•4 mm
x*5 - quarter amount
(x+15)*25- nickels amount
(x*5)+((x+15)*25)=735
5x+25x+375=735
30x=735-375
30x=360
x=360/30=12 - number of nickels
x+15=12+15=27 - number of quarters
CHECK
12*5=60 ¢
27*25=675 ¢
675+60=735 ¢ or $7.35
Answer:
see explanation
Step-by-step explanation:
(a)
The shaded figure is a trapezium with area (A)
A = 0.5 h(a + b)
where h is the perpendicular height and a, b the parallel sides, thus
A = 0.5 × 10 × (8 + 14) = 5 × 22 = 110 cm²
(b)
The volume (V) of the prism is calculated as
V = area of end face × depth
= 110 × 3 = 330 cm³
Answer is in the file below
Htqpy/.q