If by "long leg lengths" you mean the hypotenuse then the area is 116 sq. units. If you mean the bases of the triangles then the area is 170 sq. units.
If the length of 12 is the hypotenuse, we first must find the base of the triangles using the Pythagorean theorem:
10² + b² = 12²
100 + b² = 144
b² = 44
b = √44 = 6.6
This means we have two triangles and a rectangle. The area of the rectangle is 5(10) = 50 sq. units. The area of each triangle is 1/2(6.6)(10) = 33. Adding all 3 together we have:
50+33+33 = 116 sq. units.
If the 12 is the base, then we have the rectangle with the area of 5(10) = 50 and two triangles each with an area of 1/2(12)(10) = 60:
50+60+60 = 170 sq. units.
To find the volume of a rectangular prism, we must multiply the length * width * height.
In this case,
Volume = 3 ft * 2 ft * 1 ft
= 6 ft^3
Because this tank is 2/3 full with water, to find out how much water is in the tank, we must multiply 2/3 by the total volume of the tank (6 ft^3).
2/3 * 6 ft^3 = 4 ft^3
This means that there are 4 cubic feet of water in the tank.
Hope this helps!
Answer:
1. The change per week is $40 as it is the coefficient.
2. The starting amount is $550 as it is the constant.
X = small boxes and y = large boxes
x + y = 17.....x = 17 - y
3x + 14y = 183
3(17 - y) + 14y = 183
51 - 3y + 14y = 183
-3y + 14y = 183 - 51
11y = 132
y = 132/11
y = 12 <=== large boxes (y) cost $ 12
x + y = 17
x + 12 = 17
x = 17 - 12
x = 5 <=== small boxes (x) cost $ 5
Answer:
Jenny cycles the grand distance of 29 and one third of a mile.
Step-by-step explanation:
I want to answer this using fractions and without multiplying by an awkward recurring decimal.
Cycling 11 miles in 45 minutes and continuing at the same speed means she will go 22 miles in 90 minutes
To scale up 90 mins to the required 120 mins (2 hours) multiply by 4/3.
22 x (4/3) = 88/3
Jenny will travel 88/3 miles in 2 hours.
Not happy with top heavy fractions?
Let's round up 88/3 to 90/3 by adding 2/3.
90/3 = 30 and to get back to the answer we just take away the two thirds we added when rounding up.
Jenny cycles the grand distance of 29 and one third of a mile.
I think that is the correct answer.
