Answer:
See below ~
Step-by-step explanation:
⇒ 65 = 65 + y (alternate exterior angles)
⇒ y = 0
⇒ 4(12x + 1) + 15 = 180 - 65 - y (Linear angles)
⇒ 48x + 4 = 100 - 0
⇒ 48x = 96
⇒ x = 2
⇒ 3(7z + 6) + 5(5z + 1) = 115 (Both the angles are equal "alt. ext. angles")
⇒ 21z + 18 + 25z + 5 = 115
⇒ 46z + 23 = 115
⇒ 46z = 92
⇒ z = 2
Answer:
1003.4375
Step-by-step explanation:
16055/16 is 1003.4375
Answer:
119j+28
Step-by-step explanation:
7(17j+4) Remove the parentheis
distribute 7 through the parentheis
Answer:
456.2 units²
Step-by-step explanation:
The area of the square base is ...
base area = w² = (10 units)² = 100 units²
The lateral area is 4 times the area of one rectangular face:
lateral area = 4wx = 4(10 units)(5 units) = 200 units²
The area of one triangular face is half the product of its base length (w) and its slant height (h). The latter is found using the Pythagorean theorem:
h² = y² +(w/2)² = (6 units)² +((10 units)/2)² = 61 units²
h = √61 units
So, the area of 4 triangles is ...
area of triangular faces = 4(1/2)wh = 2(10 units)(√61 units) ≈ 156.2 units²
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Now we have the areas of the parts, so we can add them together to get the total surface area:
surface area = base area + lateral area + area of triangular faces
= 100 units² + 200 units² + 156.2 units²
surface area = 456.2 units²
