The answer is translation of 2 units left and a reflection over the x-axis.
The triangle is translated 2 units left because the triangle moved two units to the left and it is reflected over the x-axis because the bottom triangle is like a reflection of the original triangle.
Answer:
(0.84, 0.88)
Step-by-step explanation:
if you round 0.875 you get 0.88
Answer:
The formula to get the circumference of a circle is
but in this case we see that a diameter is being used therefore we can get rid of the 2 and the r because that is what the diameter and just replace d into there like this
.
We can then input the value and we get that
which then just narrows down to
.
<u><em>Hope this helps! Let me know if you have any questions</em></u>
In a full rotation, 360°, a point on the edge of a gear would travel a distance equal to its circumference. The circumference of a circle is:
C=2πr, and since we are only traveling 150°, we need to set up an appropriate ratio for circumference to the distance the point travels:
d/C=150/360
d=5C/12 and since C=2πr
d=10πr/12
d=5πr/12, and since r=4in
d=5*4π/12 in
d=20π/12 in
d=5π/3 in
d≈5.24 in (to nearest hundredth of an inch)
48= l*w
l= 8+w
To solve for width, substitute the value of l in the first equation so that everything is in terms of w.
Final answer: 48= (8+w)*w