Answer:
<u>x = 14</u>
Step-by-step explanation:
4x + (2x + 6) = 90
6x + 6 = 90
subtract both sides by 6:
6x + 6 <em>- 6 </em>=<em> </em>90 <em>- 6</em>
6x = 84
divide both sides by 6
6x/6 = 84/6
x = 14
double check:
4*14 + (2*14 + 6) = 90
56 + 28 + 6 = 90
Have a nice day!
Answer:
Two consecutive numbers whose squares differ by 33 are 16 and 17
Step-by-step explanation:
lets assume first number be x
since numbers are consecutive , so other number will be x + 1
From given information in question
(x + 1)² - x² = 33
⇒ (x² + 1² + 2x) - x² = 33 [ since (a+b)² = a² + b² + 2ab ]
⇒ x² + 1² + 2x - x² = 33
⇒ 2x + 1 = 33
⇒ 2x = 33 - 1
⇒ x = 32/2 = 16
so one number is x = 16 and other number is x + 1 = 16 + 1 = 17
lets recheck our solution
17² - 16² = 289 - 256 = 33 , And since difference is 33 , two required consecutive numbers are 16 and 17.
9514 1404 393
Answer:
32.5 ft
Step-by-step explanation:
The length of the side opposite the given angle is found using the sine relation:
Sin = Opposite/Hypotenuse
height on building = (33 ft)·sin(80°) ≈ 32.5 ft
The ladder reaches about 32.5 feet up the side of the building.
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<em>Additional comment</em>
The maximum angle compliant with OSHA safety rules is 75.5°.
Answer: 1/6
Step-by-step explanation: There are 4 primes. So the probability for the first draw is 4/9. Since the card is not replaced, the second probability is 3/8. 3/8 * 4/9 is 12/72, which simplifies into 1/6.
Answer: just keep getting them until they suspend yo account
Step-by-step explanation:
