Answer:
9.07571212
Step-by-step explanation:
To solve this we first need to find the area of the circle, r squared times pi
4 x 4 x pi = 50.2654825
Now we multiply this by 65/360, 50.2654825 x 65/360 = 9.07571212
The shaded sector covers 9.07571212 square inches.
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Given:
Cost of protein = $10.25 per pound
Cost of spirulina = $22.45 per pound
Cost of blend = $16.35 per pound
Weight of blend = 140 pounds
To find:
The quantity of spirulina it will need to make the blend.
Solution:
Let x be the quantity of protein and y be the quantity of spirulina in the blend. Then,
...(i)
Equation (i) can be written as:
...(ii)
...(iii)
Using (ii) and (iii), we get
Divide both sides by 12.2.
Therefore, 70 pounds of the spirulina it will need to make the blend.
PEMDAS : First comes Parenthesis , Exponents , Multiplication, Division , Addition , and last Subtraction (in that order).
Nearest tenth value is the number right after the decimal.
31) (-5.8)^2 = 33.64 ..... 33.64 * .379 = 12.7
33) -3 * -3.2 = 9.6 ... 9.6 - 3.8 = 5.8
35) -2.8/5.2 = -.538 ... -.538 - -4 = 3.5
37) (-0.1-4.5) = -4.6 ... -4.6/4.1 = -1.1
Answer:
AC=27
AB=9√3
AD=27
BD=18√3
Step-by-step explanation:
Following your request on my answer, I have looked into your account to answer this question as well.
We can find side AB by using the sine property of Pythagorean theorem
sin(30°)=AB/18√3
AB=18√3sin30° but sin(30)=½
Therefore AB=18√3×½=9√3
Using Triangle ABC, Pythagorean theorem helps us find AC
(18√3)²=(9√3)²+AC²
972=243+AC²
972-243=AC²
729=AC² (find the square root of both sides)
√729=AC
AC=27
To find AD,
tan(30°)=AB/AD but AB=9√3
tan30=9√3/AD and tan30=√3/3
√3/3=9√3/AD simplify
AD=27
Finally,
BD=√(9√3)²+(27)²
BD=√243+729
BD=√972=18√3
X= 5 x= -9 y = -10 if this not the answer reverse it
