Math question, help please.
2 answers:
Answer: EB = 20
Step-by-step explanation:
Hi there. I'm sending you a picture of how the triangle looks like with the sides identified by their values. Given that AB | DE, meaning that they are proportional, then we can assume this:
- AD | EB
- CD | CE
We can also set this ratio up:
Cross multiply the proportion and then divide, to find the value of EB:
Side EB should be equal to 20.
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Answer:
There are 16 oddly powerful integers less than 2010
Step-by-step explanation:
∵ b is an odd integer
∵ b > 1
∴ The first value of b is 3
∵ a is an integer
- We can use a = 1, 2, 3, ..........
∵
∵ n < 2010
- Let a = 1, 2, ............... 12 because 12³ is greatest integer < 2010
∵ 1³ = 1, 2³ = 8, 3³ = 27, 4³ = 64, 5³ = 125, 6³ = 216, 7³ = 343,
8³ = 512, 9³ = 729, 10³ = 1000, 11³ = 1331, 12³ = 1728
∴ There are 12 oddly powerful integers with b = 3
Now the second value of b is 5
but we took 1 before so we will start with 2
∵ ,
,
- is the greatest integer < 2010
∴ There are 3 oddly powerful integers with b = 5
Now the third value of b is 7
∵
- is the greatest integer < 2010
∴ There is 1 oddly powerful integers with b = 7
Now the fourth value of b is 9
∵
- is the greatest integer < 2010
- But we used 512 before
∴ There is no oddly powerful integers with b = 9
- 9 is the greatest value of b which makes
∵ 12 + 3 + 1 = 16
∴ There are 16 oddly powerful integers less than 2010
Answer:
The resistance of the heater is 44 ohms.
Step-by-step explanation:
Given that,
Voltage of electric heater, V = 440 volts
Current drawn by the heater, I = 10 A
We need to find the resistance of the heater. It is a case of Ohm's law. Its mathematical form is given by :
R is resistance of the heater
So, the resistance of the heater is 44 ohms. Hence, this is the required solution.