Answer:
366.6 mm²
Step-by-step explanation:
Step 1: find XY using the Law of sines.
Thus,
m < W = 180 - (70+43) (sum of angles in a triangle)
W = 180 - 113 = 67°
WY = 24 mm
X = 43°
XY = ?
Cross multiply:
Divide both sides by 0.68 to solve for XY
XY ≈ 32.5 mm
Step 2: find the area using the formula, ½*XY*WY*sin(Y).
Area = ½*32.5*24*sin(70)
Area = ½*32.5*24*0.94
= 32.5*12*0.94
Area = 366.6 mm² (nearest tenth)
Answer:
10.50 Miles per hour
Step-by-step explanation:
42/4 = 10.50 easy
Answer:
1) x = 4 2) x = 4 3) x = -4 4) x = 3 5) x = 5 6) x = 9 7) x = -8
8) x = 11 9) x = -5 10) x = -4
Step-by-step explanation:
Alternate Exterior and Alternate Interior angles are equal to each other. Just set the numbers or equations the give you equal to each other.
Question 1: Question 2: Question 3: Question 4:
33x+3=135 120=31x-4 120=x+124 40x+5=42x-1
33x=132 124=31x -4=x 6=2x
x=4 x=4 x= -4 x=3
Question 5: Question 6: Question 7: Question 8:
20x+4=19x+9 11x= -9+12x 80=x+88 10x+20=12x-2
-5= -x -x = -9 -8 = x 22=2x
x=5 x= 9 x= -8 x=11
Question 9: Question 10:
70=x+75 130=x+134
-5 = x -4 = x
x = -5 x= -4
Answer:
3
Step-by-step explanation:
6 cups require 2 cups
9 cups require-------x
Cross multiplication
9x2 = 6x
18 = 6x
x= 3
Another way to think about:
6 + half of 6 = 9
Then
2+ and half of 2 = 3
6 is 3 times more than 2
9 is 3 times bigger than 3
Answer:
steps below
Step-by-step explanation:
x⁶ - 7x³ - 8 = (x⁶ + x³) - (8x³ + 8)
= x³ (x³+1)-8(x³+1)
= (x³ - 2³)(x³ + 1)
= (x-2)(x²+2x+4)(x+1)(x²-x+1)
(x-2)(x²+2x+4)(x+1)(x²-x+1) = 0
<u>x= -1 or x = 2</u> ... roots
or x²+2x+4=0 or x²-x+1=0
x²+2x+4=0
x = (-2±√4-16)/2 = <u>-1 ± √3 i</u> ... complex roots
x²-x+1=0
x = (1±√1-4)/2 = <u>1/2 ± (√3)i / 2</u> ... complex roots
<u />
b) P(x) = x⁶ - 7x³ - 8
= <u>(x-2)(x²+2x+4)(x+1)(x²-x+1)</u>
= (x+1)(x-2)(x-(-1 + √3 i))(x-(-1 - √3 i)(x-(1/2 + (√3)i / 2))(x-(1/2 - (√3)i / 2))
