Answer:
Area of a trapezoid = ½(a + b)h, where a and b are the lengths of the parallel sides and h is its height.
From your information 20 = ½(2z + 3 + 6z – 1)z = ½(8z + 2)z = z(4z + 1)
Solve 20 = 4z² + z which is 0 = 4z² + z – 20 using the quadratic formula
Step-by-step explanation:
Answer:
<h2>324 cubes</h2>
Step-by-step explanation:
We calculate how many cubes will fit along each edge:
12 in : 2/3 in = 12 · 3/2 = 18 cubes
2 1/6 in : 2/3 in = 13/6 · 3/2 = 39/12 = 13/4 = 3 1/4 → 3 cubes
4 in : 2/3 in = 4 · 3/2 = 6 cubes
(18)(3)(6) = 324
Yes if you convert it into a rational number it will be -155/10
Answer:
279 feet
Step-by-step explanation:
To find x, we solve using the Trigonometric function of Tangent
tan θ = Opposite/ Adjacent
θ = 64°
Length of the shadow = Adjacent = 136 feet
Height of the building = Opposite = h
Hence,
tan 64 = h/136 feet
Cross Multiply
h = tan 64 × 136 feet
h = 278.84132245 feet
Approximately, h to the nearest foot ≈ 279 feet
Therefore, the height of the building = 279 feet
Answer:
The homeowner will require 9 strips of wallpaper.
Step-by-step explanation:
The question is asking <em>"how many 20 inches fit into 15 feet?".</em>
We know that
1 foot = 12 inches;
therefore, 15 feet will be
15 ft * 12 in/ft = 180 in.
Now, the number of 20 inches wallpaper strips that will fit into 180 in long wall will be
180 in/ 20 in = 9
Therefore, the homeowner will require 9 strips of wallpaper.