Answer:
<h3>
A = 0.5(2x+6)(6x+13) = 6x² + 49x + 78</h3>
Step-by-step explanation:
H = 2x+6 - the hight
3H = 3(2x+6) - triple the hight
3H-5 = 3(2x+6) - 5 - five less than triple the height
Area of triangle: A = 0.5BH
B = 3(2x+6)-5 = 6x + 18 - 5 = 6x + 13
H = 2x+6
So:
A = 0.5(2x+6)(6x+13) = (x+6)(6x+13) = 6x² + 13x + 36x + 78
A = 6x² + 49x + 78
piece of cake, it's $0.37
all you have to do is divide $5.92 by 16 to figure out price per pound.
to check your answer multiply 0.37 by 16 and you'll get 5.92
note: if you were to divide 16 by $5.92 (inverse operation) you would be solving for pounds per each dollar, and the question asks to find what she paid for each pound not how many pounds she bought for each dollar she spent; since you're trying to figure out a certain price so you also divide by a price. I hope this makes sense
Answer:
6 miles(3 miles to your friend's + 3 miles back home) Step-by-step explanation:
a. What is the distance traveled by the skier during the three minutes of recreation? 360 mAdd the lengths of the three segments - 160 m + 120 m + 80 m. b. What is the net displacement of the skier during the three minutes of recreation? 120 m, EastMeasure from the starting point (A) to the ending point (D); include direction since displacement is a vector. c. What is the displacement during the second minute (from 1 min. to 2 min.)? 120 m, WestThe second minute corresponds to a movement from B to C. Measure from the starting point (B) to the ending point (C); include direction since displacement is a vector. d. What is the displacement during the third minute (from 2 min. to 3 min.)? 80 m, EastThe third minute corresponds to a movement from C to D. Measure from the starting point (C) to the ending point (D); include direction since displacement is a vector.
Answer:
(2, 24) (6, 72) (9, 108)
Step-by-step explanation:
For this one, we know that 2 chairs use 24 screws, which must mean that for each chair, 12 screws are needed, so we can just multiply 12 by the number of chairs being built (ex. 6) to find out how many screws are needed in total. I hope this helps :)
828 small spheres can be made from the metal.
Step-by-step explanation:
Side of the cube = 4.5cm
Volume = (a x a x a)
= (4.5 x 4.5 x 4.5)
= 91.125 cubic cm
Radius of the sphere = 3mm = 0.3 cm
Volume of 1 sphere = (4/3) π(r x r x r)
= (4/3) (3.14) (0.3 x 0.3 x 0.3)
= (4/3) (3.14) (0.027)
= 0.34/3
= 0.11 cubic cm
No. of spheres = 91.125/0.11
= 828.4
So, 828 small spheres can be made from the metal.
