Answer:
60.4 degrees
Step-by-step explanation:
Complementary angles are 2 angles that add up to the sum of 90 degrees.
90-29.6=60.4 degrees
Hope this helps!
Answer:
384 ft²
Step-by-step explanation:
Alrighty! The volume of a cube is V = a³. The equation for the surface area of a cube is 6a². The key number here will come with finding what a is. Here, we are already given the volume: 512 ft³. By working backwards a little we can solve for the variable a using the volume.
Volume = a³
512 = a³
Here we need to isolate the variable a in order to solve for it. In order to do this we must figure out a way to move the cube³ over. We can do this by cube rooting 512!
512 = a³
∛512 = a
The cubed root of 512 = 8 thus:
8 = a
Now we that we have solved for the variable a, we can plug this into our equation for the surface area of a cube.
SA = 6a²
a = 8
SA = 6(8)²
Solving exponents comes first naturally. 8² = 64
SA = 6(64)
SA = 384
Ta-da! Your surface area is 384 ft².
First write the question:
3a^2 + 4b^2
Substitute:
3 x (2^2) + 4 x (3^2)
Simplify:
(3 x 4) + (4 x 9)
Simplify again:
12 + 36
Answer:
48
Hope it helped :)
The ratio of the area of the sector (S) to the area of the entire circle (C) is equal to the ratio of the angle subtended to form the sector (As) to the angle for the whole revolution (Ac)
S / C = As / Ac
Substituting the given,
S / 36 m² = 40 degrees / 360 degrees
Solving for S gives, S = 4. Thus, the area of the sector is 4 m².
Answer:
$568.16
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 13%/100 = 0.13 per year,
then, solving our equation
I = 416 × 0.13 × 2 = 108.16
I = $ 108.16
The simple interest accumulated
on a principal of $ 416.00
at a rate of 13% per year
for 2 years is $ 108.16.
