Answer:
Area of the trapezoid is 38 cm²
Step-by-step explanation:
- Step 1: Area of the trapezoid can be found by decomposing it into 2 triangles and a rectangle.
- Step 2: Find area of first triangle. Given base = 5 cm and height = 4 cm
Substitute in formula for area of triangle = 1/2 base * height
Area of triangle, A1 = 1/2 * 5 * 4 = 10 cm²
- Step 3: Find area of rectangle. Given breadth = 4 cm (Same as height of triangles) Length = 6 cm. Substitute in formula for area of rectangle = length * breadth
Area of rectangle, A2 = 4 * 6 = 24 cm²
- Step 4: Find area of second triangle. Given height = 4 cm (same as the other triangle) and base = 2 cm (8 cm - 6 cm)
Substitute in formula for area of triangle = 1/2 base * height
Area of triangle, A3 = 1/2 * 2 * 4 = 4 cm²
- Step 5: Calculate total area = A1 + A2 + A3 = 10 + 24 + 4 = 38 cm²
12(2x - 8) = 15
12(2x) - 12(8) = 15
24x - 96 = 15
<u> + 96 + 96</u>
<u>24x</u> = <u>111</u>
24 24
x = 4.625
haha lol I was looking for the answer too, but I solved it! Here it is:
Answer:
The slope of line s is b/a. Rotate line s 90° clockwise about the origin to get line t. The labeled points on line s map to (0, a) and (b, 0) on line t. The slope of line t is -a/b. The slopes of the lines are opposite reciprocals because the product of the slopes is -1.
Answer:
Anna and Ojo will have same amount after 13 days.
Step-by-step explanation:
Given that:
Anna has 300 naira
She saves 50 naira per day.
Let,
x be the number of days.
y be the amount saved
y = 50x + 300
Ojo has 1860 naira
He spends 70 naira per day.
Let,
x be the number of days
y be the amount left
y = 1860 - 70x
For equal amount, the equations will be equal
50x +300 = 1860 - 70x
50x + 70x = 1860 - 300
120x = 1560
Dividing both sides by 120
Hence,
Anna and Ojo will have same amount after 13 days.
Answer:
9
Step-by-step explanation:
6n = n² - 27
n² - 6n - 27 = 0
n² - 9n + 3n - 27 = 0
n(n - 9) + 3(n - 9) = 0
(n - 9)(n + 3) = 0
n = -3, 9
