Answer:
Area of trapezoid:
12 + 6<-- your two bases of the trapezoid = 18
18 x 4 = 72, 72 divided by 2 = 36
now we multiply by 2 since there are 2 trapezoids:
36 x 2 = 72
Area of rectangle in front:
6 x 3 = 18
Area of the 2 rectangles on the sides:
5 x 3 = 15
(multiply by 2 since there are two rectangles on both sides)
15 x 2 = 30
Area of rectangle on the back:
12 x 3 = 36
Now lets add up all the areas:
72 + 18 + 30 + 36 = 156 in2 is your answer.
let's recall the vertical line test, it's a function if when dropping a vertical line on the graph, it only touches it once on the way down.
Check the picture below.
Answer:
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Step-by-step explanation:
Answer:
The length of s is 5.1 inches to the nearest tenth of an inch
Step-by-step explanation:
In Δ RST
∵ t is the opposite side to ∠T
∵ r is the opposite side to ∠R
∵ s is the opposite side to ∠S
→ To find s let us use the cosine rule
∴ s² = t² + r² - 2 × t × r × cos∠S
∵ t = 4.1 inches, r = 7.1 inches, and m∠S = 45°
→ Substitute them in the rule above
∴ s² = (4.1)² + (7.1)² - 2 × 4.1 × 7.1 × cos(45°)
∴ s² = 16.81 + 50.41 - 41.1677568
∴ s² = 26.0522432
→ Take √ for both sides
∴ s = 5.10413981
→ Round it to the nearest tenth
∴ s = 5.1 inches
∴ The length of s is 5.1 inches to the nearest tenth of an inch