The radius is half of the diameter, and half of 9 is 4.5. That is your answer. Hope this helps! Have a nice night.
Answer:
y = 10 * 2^x
OR
y(5) = 10 * 2^5
Day 0 = 10 pennies: Point(0, 10)
Day 1 = 20 pennies: Point(1, 20)
Day 2 = 40 pennies: Point(2, 40)
Day 3 = 80 pennies: Point(3, 80)
Day 4 = 160 pennies: Point(4, 160)
Day 5 = 320 pennies: Point(5, 320)
Step-by-step explanation:
Heath has 10 pennies, so pennies = 10.
He doubles the number of pennies each day, so total pennies = 10 * 2 to the power of # of days.
Using the equation y = 10 * 2^x will give you the answer for any number of days. Since the problem asks for 5 days, you plug in 5 for x. On the graph, this would be a single point (5, 320).
So, plot the 6 points you have and connect a curved line through it. That should be your answer.
Answer:
a. 0.69x + 0.14
b. 5.67 - 30.48a
c. 1.1x - 3.01y
Step-by-step explanation:
a) 2.56x + 0.14 − 1.87x
<em>To simplify this algebraic expression, you start by collecting like terms;</em>
2.56x − 1.87x + 0.14
<em>Then perform arithmetic operation</em>
0.69x + 0.14
b) 7.32a + 2.1 (2.7 − 18a)
<em>Here; first, the bracket must be opened</em>
<em>To open the bracket; each expression in the bracket is multiplied by 2.1. This leaves us with</em>
7.32a + 2.1 * 2.7 − 2.1 * 18a
7.32a + 5.67 - 37.8a
<em>Then, you collect like terms</em>
7.32a - 37.8a + 5.67
<em>Then perform arithmetic operation</em>
-30.48a + 5.67
<em>Rearrange</em>
5.67 - 30.48a
c) 0.12x + 0.34y + 0.98x − 3.35y
<em>Here, you start by collecting like terms</em>
0.12x + 0.98x + 0.34y − 3.35y
<em>Then perform arithmetic operation</em>
1.1x - 3.01y
Answer:
A = 21 cm²
Step-by-step explanation:
The area (A) of a trapezium is calculated as
A = 
h (b₁ + b₂ )
where h is the height between bases and b₁, b₂ are the parallel bases
Here h = 3, b₁ = 9, b₂ = 5 , then
A = × 3 × (9 + 5) = 1.5 × 14 = 21 cm²
