10. 2 consecutive integers....x = smaller one, x + 1 = larger one
2(x + 1) = 3x - 15
2x + 2 = 3x - 15
2 + 15 = 3x - 2x
17 = x
x + 1 = 17 + 1 = 18
so ur 2 numbers are : 17 and 18
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11. 2 consecutive odd integers....x = smaller one and x + 2 = larger one
5(x + 2) = 8x + 1
5x + 10 = 8x + 1
10 - 1 = 8x - 5x
9 = 3x
9/3 = x
3 = x
x + 2 = 3 + 2= 5
so ur 2 numbers are : 3 and 5
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12. 2 consecutive even integers....x = smaller one.....x + 2 = larger one
1/2x = x + 2 + 2
1/2x = x + 4
1/2x - x = 4
1/2x - 2/2x = 4
-1/2x = 4
x = 4 * -2
x = -8
x + 2 = -8 + 2 = -6
so ur 2 numbers are : -6 and -8
There would be 41 1/4 turns in 2 1/2 inches of threads.
Given, number of turns a bolt has = 16 1/2 turns per inch.
per inch bolt turns = 16 1/2 =33/2
how many turns would be there in 2 1/2 inches of threads = ?
Threads Per Inch, or TPI, is a measure of how many threads are found in one inch along a fastener's length. American fasteners are the only ones that employ TPI. Typically, the thread count is higher for smaller fasteners since they have finer threads. Just as the name implies, the Threads Per Inch (TPI) refers to the number of threads that run the length of a screw for one inch. The TPI of a screw can be easily calculated by simply counting the threads and dividing the total length.
so, 5/2 inches bolt turns =33/2 x 5/2
=165/4
hence 41 1/4 turns
Therefore, 2 1/2 inches of threads have 41 1/2 turns.
Learn more about Conversions here:
brainly.com/question/16851332
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Answer:
y=<u>2π</u>
3
Step-by-step explanation:
Answer:
A.) 2752.8 feet
B.) 5044.3 feet
C.) 6182.9 feet
Step-by-step explanation:
A.) Given that the camp to the base of the mountain is 2,000 feet. And the angle of elevation is 54 degrees
Using SohCahToa, to calculate the height
Tan 54 = height/2000
Height = 2000 tan54 = 2752.8 feet
B.) Given that the base of the mountain is 2600 feet wide.
Let use pythagorean theorem to find the slant length
Adjacent = 2600/2 = 1300 feet
Slant length = root ( 1300^2 + 2752.8^2)
Slant length = 3044.3 feet
The total distance that Jacob and his dad hiked from their campsite to the top of the mountain will be
3044.3 + 2000 = 5044.3 feet
C.) Given that the angle of depression is 24 degrees while the height is 2752.8 feet
Using pythagorean theorem again
Tan 24 = 2752.8/distance
Distance = 2752.8/tan24
Distance = 6182.9 feet
