By definition of <em>surface</em> area and the <em>area</em> formulae for squares and rectangles, the <em>surface</em> area of the <em>composite</em> figure is equal to 166 square centimeters.
<h3>What is the surface area of a composite figure formed by two right prisms?</h3>
According to the image, we have a <em>composite</em> figure formed by two <em>right</em> prisms. The <em>surface</em> area of this figure is the sum of the areas of its faces, represented by squares and rectangles:
A = 2 · (4 cm) · (5 cm) + 2 · (2 cm) · (4 cm) + (2 cm) · (5 cm) + (3 cm) · (5 cm) + (5 cm)² + 4 · (3 cm) · (5 cm)
A = 166 cm²
By definition of <em>surface</em> area and the <em>area</em> formulae for squares and rectangles, the <em>surface</em> area of the <em>composite</em> figure is equal to 166 square centimeters.
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Since neither 5x nor -y has a "like term" in <span>2xy+xy, the sum of these quantities is simply
</span><span>2xy+xy + 5x - y = 3xy + 5x - y
You might want to write this as y(3x -1) + 5x. </span>
Answer:
The number of earned runs is 28.
Step-by-step explanation:
Earned runs average:
The earned runs average of a pitcher is the number of runs the he/she gives each 9 innings on average.
Find the number of earned runs when the pitcher has an ERA of 2.25 after pitching 112 innings in the next season.
Solved by proportions, using a rule of three.
For each 9 innits, the pitcher gives 2.25 runs. How many runs for 112 innings?
9 innings - 2.25 runs
112 innings - x runs
Applying cross multiplication:



The number of earned runs is 28.
Answer:
Step-by-step explanation:
a ) The worth of Jean-Claude's gnome after 1 year
= 80000 x 1.02
= £81600
b ) common ratio of geometric progression
= 81600 / 80000
= 1.02
c ) worth after 10 years
= 80000 x 1.02¹⁰
= 80000 x 1.21899
= £97519.55
d )
120000 = 80000 x
1.5 = 
ln1.5 = k ln 1.02
k = ln 1.5 / ln 1.02
= .4054 / .0198
= 20.47 years .