Answer:
Step-by-step explanation:
The two triangles are similar and therefore we can set up a proportion
9/(9 + 72) = (3x - 20)/(3x - 20 + 56) Combine like terms on the right
9/(81) = (3x - 20)/(3x + 36) Cross multiply
9(3x + 36) = 81 (3x - 20) Remove the brackets.
27x + 324 +1620 = 243x Add 1620 to both sides
27x + 324 + 1620 = 243x Subtract 27x from both
1944 = 216x divide both sides by 216
x = 9
If you feel comfortable canceling the size of the numbers can be reduced.
9/81 = 1/9
1/9 = (3x - 20)/(3x + 36)
3x + 36 = 9(3x - 20)
3x + 36 = 27x - 180
36 + 180 = 24x
216 = 24x
216/24 = x
x = 9
There is another cancelation possible, but this is simple enough.
Answer:
The volume of the metal used is 5277.9 cm³.
Step-by-step explanation:
The volume of a cylinder is given by:
Where:
r: is the radius
h: is the height = 50 cm
The volume of metal (
) can be found by subtracting the internal volume (
) from the external volume (
):
The external radius is given by the sum of the internal radius with the tickness:
Hence, the volume is:
Therefore, the volume of the metal used is 5277.9 cm³.
I hope it helps you!
Answer: v = Fo(1-T)/m
Step-by-step explanation: shown in the attachment
Answer:
He could work 10 hours as a lifeguard, and 5 hours as a tutor
Step-by-step explanation:
If he makes $16 an hour as a lifeguard
and $18 an hour as a tutor,
He could work 10 times $16, to make $160 for 10 hours.
Now we subtract this from $250, this makes $90.
We know need to find out how many times 18 goes into 90, 5 times.
So we know that he could work 10 hours as a lifeguard and 5 hours as a tutor.
I hope this is right.
I hope this helps too, have a nice day!
Congruent means that they are identical
looking at the order of the letters in the triangles EF are the last 2 and QR are the last 2
so EF should equal QR
we are told QR = 10 so EF needs to equal 10
so we have 6y+4 = 10
now solve for Y
6y +4 = 10
subtract 4 from each side:
6y = 6
divide each side by 6
y = 1
