Answer:
A) 3.44 ft²
Step-by-step explanation:
before cutouts, the area was 4 x 4 = 16 ft²
the circles have a diameter of 2 ft each, and a radius of 1 ft
each circle has an area pf (3.14)(1²) = 3.14 ft²
3.14 x 4 = 12.56 ft²
16 - 12.56 = 3.44 ft² left
Assuming simple interest (i.e. no compounding within first year), then
At 6%, interest = 10000*0.06=$600
At 9% interest = 10000*0.09 = $900
Two ways to find the ratio
method A. let x=proportion at 6%
then
600x+900(1-x)=684
Expand and solve
300x=900-684=216
x=216/300=0.72 or 72%
So 10000*0.72=7200 were invested at 6%
10000-7200=2800 were invested at 9%
method B: by proportions
Ratio of investments at 6% and 9%
= 900-684 : 684-600
=216 : 84
= 18 : 7
Amount invested at 6% = 18/(18+7) * 10000 = 0.72*10000 = 7200
Amount invested at 8% = 7/(18+7)*10000=0.28*10000=2800
Answer:
z = 110°
Step-by-step explanation:
Angles z and the one marked 70° form an linear pair, hence are supplementary.
z = 180° -70° = 110°
<h3>Angles where chords cross</h3>
The angle made by two chords is half the sum of the arcs intercepted by those chords. Here, that means ...
70° = 1/2(60° +x) ⇒ x = 140° -60° = 80°
The arc w completes the circle of 360°, so we have ...
w +x +79° +60° = 360° ⇒ w = 360° -219° = 141°
Finally, z is the average of w and 79°:
z = (w +79°)/2 = (141° +79°)/2 = 110° . . . as above
Answer:
False
Step-by-step explanation:
1+8=9
9+10=19
1y+8y=9y
9y+10y=19y
19y=20y
The equations dont match.
Hence, the equation is false.
Answer:
A= 37 degrees
C= 43 degrees
Step-by-step explanation:
Hey there!
So this question looks a lot more complicated than it really is.
Complementary angles are the same.
Supplementary angles add up to 180 degrees or in other words a straight line.
If A and B are complementary and B equals 37 degrees, than A is also 37 degrees.
To find C, all we would do is subtract 37 from 180 to find the leftover amount.
180-37=43
So, in conclusion:
A= 37 degrees
C= 43 degrees
Hoped this helped! :D
Comment if you have any further questions!
