Since bc = 6, that makes db = 3 and cd = 3rad3
cd (2) = ac. so ac = 6rad3
so to get ad, you square ac which = 108, square cd which = 3rad3 which equals 27. 108 - 27 = 81. the sqaure root of 81 is 9. ad = 9
<u>Answer:</u>
x = 
& 3
<u>Step-by-step explanation:</u>
= 
Cross multiply:
= ⇒ (8x)(7x) = (5x+3)(10x-2)
Simplify both sides:
(8x)(7x) = (5x+3)(10x-2) ⇒ 56x² = 50x²+20x-6
Set equation equal to 0:
56x² = 50x²+20x-6 ⇒ 0 = -6x²+20x-6
Factor the trinomial:
0 = -6x²+20x-6 = (-6x+2)(x-3)
Solve for X:
-6x+2 = 0
-6x = -2
x = ;
x-3 = 0
x = 3;
x = , 3
Answer:
total area = 18.28 in.^2
perimeter = 16.28 cm
Step-by-step explanation:
Area:
The total area of the figure is the sim of the area of the rectangle and the area of the semicircle.
total area = LW + (1/2)(pi)r^2
total area = (4 in.)(3 in.) + (1/2)(3.14)(2 in.)^2
total area = 12 in.^2 + 6.28 in.^2
total area = 18.28 in.^2
Perimeter:
The perimeter of the figure is the sum of the lengths of the left side, bottom side, and right side of the rectangle and the circumference of the half circle.
perimeter = 3 cm + 4 cm + 3 cm + (1/2)(pi)d
perimeter = 10 + (1/2)(3.14)(4 cm)
perimeter = 10 + 6.28 cm
perimeter = 16.28 cm
The answer to this problem is 4
Answer: x < 10
Step-by-step explanation: Just like any of your two-step equations, in this inequality, start by isolating the x term which in this case is 6x by adding 5 to both sides.
That leaves you with 6x < 60 and now just divide both sides by 2 and x < 10.
Notice that because we divide both sides of the inequality
by a positive number, not a negative, we did not change the
direction of the inequality sign.
Finally, put your answer in set notation, {x: x < 10}.
Unlike an equation which normally has one solution, the answer to an inequality must be stated as a solution set because an entire set of answers will work. In this problem, it's any number less than 10.
