Answer:
Denote AH as height of triangle ABC, with H lies on BC.
Applying sine theorem:
AH/AC = sin 60
=> AH = AC x sin 60 = 47 x sqrt(3)/2 = 40.7
=> Area of triangle ABC is calculated by:
A = AH x BC x (1/2) = 40.7 x 30 x (1/2) = 610.5 = ~611
=> Option C is correct.
Hope this helps!
:)
This might be wrong but probably y= 0.5x ?
Answer:
-6x (x + 1)(x - 1)
Explanation:
Before we begin, remember the following:
(-ve) * (-ve) = +ve
(-ve) * (+ve) = -ve
(+ve) * (+ve) = +ve
(+ve) * (-ve) = -ve
a² - b² = (a + b)(a - b)
Now, for the given:
(4x³ + 3x² - 6x) - (10x³ + 3x²)
First, we eill remove the brackets based on the rules mentioned above. This will give us:
4x³ + 3x² - 6x - 10x³ - 3x²
Now, we will combine like terms as follows:
(4-10)x³ + (3-3)x² - 6x
-6x³ - 6x
Taking -6x as a common factor:
-6x (x² - 1)
Factoring the bracket as difference between two squares will give us the final simplest form:
-6x (x + 1)(x - 1)
Hope this helps :)
Answer:
L = 2,
O = 31
Step-by-step explanation:
First using the givens, write out some formulas.
Heavy equipment operators = O
General laborers = L
- O + L = 33
- 138O + 87L = 4044
Now use substitution, it doesn't matter which one you substitute.
- O = -L +33
- 138( -L + 33 ) + 87L = 4044
Distribute and solve for L.
- -138L + 4554 + 87L = 4044
- -138L - 87L = 4044 - 4554
- -225L = -510
- L = -510/-225
- L = 2
L = 2, meaning number of laborers employed is 2.
Now plug 2 = L into one of the original equations.
- O + L = 33
- O + 2 = 33
- O = 33 - 2
- O = 31
O = 31, meaning number of heavy equip. operators employed is 31.
Answer:
9 %
Step-by-step explanation:
What % is 773.10 of $8,590?
X/100 = 773.10/8590 (x/100=is/of)
(733.10 * 100) / 8590
= 9
