The radius can be found with the Pythagorean theorem. Assuming r is the radius, 14²+r²=17². Multiply it out to 196+r²=289. Subtract 196 from both sides and you're left with r²=93. So, r=√93, or about 9.6 to the nearest tenth.
An integer may be a multiple of 3.
An integer may be 1 greater than a multiple of 3.
An integer may be 2 greater than a multiple of 3.
It is redundant to say an integer is 3 greater than a multiple of 3 (that's just a multiple of 3, we've got it covered). Same for 4, 5, 6, 7...
Let's consider a number which is a multiple of 3. Clearly, we can write 3+3+3+3+... until we reach the number. It can be written as only 3's.
Let's consider a number which is 2 greater than a multiple of 3. If we subtract 5 from that number, it'll be a multiple of 3. That means we can write the number as 5+3+3+3+3+... Of course, the number must be at least 8.
Let's consider a number which is 1 greater than a multiple of 3. If we subtract 5 from that number, it'll be 2 greater than a multiple of 3. If we subtract another 5, it'll be a multiple of 3. That means we can write the number as 5+5+3+3+3+3+... Of course, the number must be at least 13.
That's it. We considered all the numbers. We forgot 9, 10, 11, and 12, but these are easy peasy.
Beautiful question.
Hey there!!
Let us take the price of the redwood as ' x ' and pine as ' y '
Then , we take it into an equation. We get,
50x + 80y = 285 -------------- ( 1 )
80x + 50y = 339 -------------- ( 2 )
Now, multiply the first equation with 8 and the second equation with 5
400x + 640y = 2280
400x + 250y = 1695
Now subtract the second equation from the first
390y = 585
y = 585 / 390
y = $1.5
Now substitute this into any equation
50x + ( 80 ) ( 1.5 ) = 285
50x + 120 = 285
50x = 165
x = 165 / 50
x = $3.3
Redwood = $3.3
Pine = $1.5
Hope helps!
Answer:
C
Step-by-step explanation:
Hope this helps
