Hey!
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We can split this polygon into two rectangular prisms.
Finding the volume is: base * length * height.
~Let's solve for the first prism
5 * 2 * 2 = 20cm³.
~Let's solve for the second prism
8 * 2 * 2 = 32cm³.
~Add both volumes
32 + 20 = 52cm³.
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Hence, the volume is 52cm³.
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Hope This Helped! Good Luck!
Option D: 3.47*10^-7 is the correct answer
Step-by-step explanation:
In order to determine the number written in standard scientific notation, first of all we have to understand how the scientific numbers are written
the scientific numbers are written in the form of:

Here
a is a number between 1 and 10 while the value of n can be only integer (positive or negative)
so,
In the given options:
Option A has a number larger than 10 in place of a so it is not in standard notation
Option B has a number less than 1 in place of a so it is also not in standard notation
Option C has a number larger than 10 in place of a so it is not in standard notation
Option D is in standard scientific notation as 1<3.47<10 and the power of 10 is integer
Hence,
Option D: 3.47*10^-7 is the correct answer
Keywords: Scientific notation, exponents
Learn more about scientific notation at:
#LearnwithBrainly
Answer:
x = 72 degrees
Step-by-step explanation:
Use the definition of a tangent function:
tan x = opposite/adjacent
= 154/50
= 3.08
----> x = arctan 3.08 = 72 degrees
Total discount for 10 group tickets = 10 · 0.05t
Amount of discount per ticket = 0.05t
Number of tickets = 10
Cost of buying 10 single tickets = 10t
Solution:
Cost for single ticket = t dollars
Discount percent per ticket = 5%
Number of tickets bought = 10
Total discount for 10 group tickets = Number of tickets × Discount amount
= 10 × 0.05t
Total discount for 10 group tickets = 10 · 0.05t
Amount of discount per ticket = 5%t
=
t
= 0.05t
Amount of discount per ticket = 0.05t
Number of tickets = 10
Cost of buying 10 single tickets = 10t