Answer:27/343 or 0.0787172
Step-by-step explanation:
First you need to place the exponent on both the numerator and the demonimator to make 3 to the power of 3 over 7 to the power of 3
Next you evaluate the numerator so 3 to the power of 3 is 27
and 7 to the power of 3 is 343 so your answer in fraction form is 27/343
you can also change into a decimal if you divide the fraction if you need to
Hope this helps
Answer:
Second barn: 912 bricks
Third barn: 1826 bricks
Fourth barn: 1402 bricks
Step-by-step explanation:
(English question: The barn consists of 1259 bricks. The second barn has 347 bricks less. The third has 567 bricks more than the first barn and the fourth barn has 490 bricks more than the second barn. How many bricks consists of the second, third and fourth barn.)
If the second barn has 347 bricks less than the first barn, so the second barn has:
1259 - 347 = 912 bricks
The third barn has 567 bricks more than the first barn, so the third barn has:
1259 + 567 = 1826 bricks
The fourth barn has 490 bricks more than the second barn, so the fourth barn has:
912 + 490 = 1402 bricks
Write the vertex form of the equation and find the necessary coefficient to make it work.
.. y = a*(x +3)^2 -2
.. = ax^2 +6ax +9a -2
You require the y-intercept to be 7. So, for x=0, you have
.. 9a -2 = 7
.. 9a = 9
.. a = 1
The equation you seek is
.. y = x^2 +6x +7
Answer:
22.2 ft²
Step-by-step explanation:
The area (A) of a sector is calculated as
A = area of circle × fraction of circle
= πr² × 
= π × 7.13² × 
=
≈ 22.2 ft² ( nearest tenth )