Answer:
i) Sally' s grocery bill = c - 
c = 0.95c
Therefore the correct option is B.)
ii) Therefore the expression which represents the expected population
next year is given by :
= p + 
p = 1.075p
Therefore the correct option is B.)
Step-by-step explanation:
Sally has a discount card that reduces the price of her grocery bill in a certain grocery store by 5%.
Let c represent the cost of Sally's groceries.
therefore the expression which represents Sally's grocery bill is given by :
Sally' s grocery bill = c - c = 0.95c
Therefore the correct option is B.)
The population of a city is expected to increase by 7.5% next year If p represents the current population, which expression represents the expected population next year?
Let p = current population of a city.
Therefore the expression which represents the expected population next year is given by :
= p + p = 1.075p
Therefore the correct option is B.)
Answer:
It's the first option.
Step-by-step explanation:
y = cos x transformed to cos (x - π/2) moves the graph π/2 units to the right.
Multiplying by 3 to give 3 cos(x - π/2) stretches the graph 3 units parallel to the y-axis and adding 3 to this moves the graph up 3 units.
So the required equation is y = 3(cos x - π/2) + 3.
Answer:
The possible dimensions of the deck can be anything that adds up to be 130 m.
Step-by-step explanation:
<em>The perimeter could be 1m x 64m.</em>
Two sides would be 1m each (so 2m total) and the other two sides would be 64m each (128m total). 2 + 128 = 130m.
<em>The perimeter could be 15m x 50m.</em>
Two sides would be 15m each (so 30m total) and the other two sides would be 50m each (100m total). 30 + 100 = 130m.
Answer:
?
Step-by-step explanation:
where are the options?
Answer:
Step-by-step explanation:
Lateral surface area of the triangular prism = Perimeter of the triangular base × Height
By applying Pythagoras theorem in ΔABC,
AC² = AB² + BC²
(34)² = (16)² + BC²
BC = 
= 
= 30 in.
Perimeter of the triangular base = AB + BC + AC
= 16 + 30 + 34
= 80 in
Lateral surface area = 80 × 22
= 1760 in²
Total Surface area = Lateral surface area + 2(Surface area of the triangular base)
Surface area of the triangular base = 
= 
= 240 in²
Total surface area = 1760 + 2(240)
= 1760 + 480
= 2240 in²
Volume = Area of the triangular base × Height
= 240 × 20
= 4800 in³
