Answer and Step-by-step explanation:
So, you would do 100 times 31.8, which is 3180, that'll be the area of the rectangle.
Now, the semicircles. They together form a circle.
So, we do pi times d (diameter), which is 3.14 times 31.8 = 99.852
Now we add them together.
99.852 + 3180 = 3279.85 (rounded to the nearest hundredth of a meter)
The rectangle area is 3180.
The Semi circles' combined area is 99.85.
<u>The total area of the figure is 3279.85.</u>
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<em><u>I hope this helps! Have a great day!</u></em>
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<em><u>#teamtrees #PAW (Plant And Water)</u></em>
This is Pythagorean theorem.
We already know a and c.
a = 4 and c = 10
4² + b² = 10²
16 + b² = 100
Subtact 16 from each side.
b² = 84
Square root of each side:
b = ≈9.165 or √84
Hope this helps!
Answer:
6/8
just add the fractions together after making the bottom the same
Answer:
Step-by-step explanation:
Let's call hens h and ducks d. The first algebraic equation says that 6 hens (6h) plus (+) 1 duck (1d) cost (=) 40.
The second algebraic equations says that 4 hens (4h) plus (+) 3 ducks (3d) cost (=) 36.
The system is
6h + 1d = 40
4h + 3d = 36
The best way to go about this is to solve it by substitution since we have a 1d in the first equation. We will solve that equation for d since that makes the most sense algebraically. Doing that,
1d = 40 - 6h.
Now that we know what d equals, we can sub it into the second equation where we see a d. In order,
4h + 3d = 36 becomes
4h + 3(40 - 6h) = 36 and then simplify. By substituting into the second equation we eliminated one of the variables. You can only have 1 unknown in a single equation, and now we do!
4h + 120 - 18h = 36 and
-14h = -84 so
h = 6.
That means that each hen costs $6. Since the cost of a duck is found in the bold print equation above, we will sub in a 6 for h to solve for d:
1d = 40 - 6(6) and
d = 40 - 36 so
d = 4.
That means that each duck costs $4.
