Answer:
13 square units
Step-by-step explanation:
The bounding rectangle is 4 units wide and 5 units high, so has an area of 4×5 = 20 square units. From that are subtracted the areas of 4 triangles. 2 of them are 3 wide and 1 high, so have a combined area of 3×1 = 3 square units. The other two are 1 wide and 4 high, so have a combined area of 1×4 = 4 square units.
Then the area of the parallelogram is ...
20 -3 -4 = 13 . . . . square units
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)
Answer:
C. 125 + 120x = 180 + 110x
t = $5.5
Step-by-step explanation:
A.125t + 120 = 180t + 110
B. 120t + 110t = 125 + 180
C. 125 + 120t = 180 + 110t
D. 125 - 120t = 180 - 110t
Friday
$125 + 120t
Saturday
110t + 180
equate Friday and Saturday
125 + 120t = 110t + 180
Collect like terms
125 - 180 = 110t - 120t
-55 = -10t
Divide both sides by -10
t = -55 / -10
= 5.5
t = $5.5
Answer:
True, because they are under 180 degrees
"Supplementary angles are two angles with a sum of 18 0 ∘ 180 ^\circ 180∘ . A common case is when they lie on the same side of a straight line."
I think its (the quotient of 3 and x)
sorry if i got it wrong
