Answer:
The coordinates of point E are (7,8).
Step-by-step explanation:
Point E:
Is given by (x,y).
DE: EF = 2:3.
This means that, for both coordinates x and y:
x-coordinate:
x-coordinate of D: 1
x-coordinate of F: 16
y-coordiante:
y-coordinate of D: 4
y-coordinate of F: 14
The coordinates of point E are (7,8).
Based on the given parameters of a = 1.7 cubic feet and concrete for first 4 steps as 17 cubic feet, the concrete is required for the first 12 steps is 132.6 cubic feet
<h3>Arithmetic progression</h3>
- First term, a = 1.7 cubic feet
- Sum of first four terms = 17 cubic feet
Sn = n/2 {2a + (n - 1) d}
17 = 4/2{2×1.7 + (4 - 1)d}
17 = 2{3.4 + (3)d}
17 = 2(3.4 + 3d)
17 = 6.8 + 6d
17 - 6.8 = 6d
10.2 = 6d
d = 10.2/6
- Common difference, d = 1.7
Concrete required for first 12 steps;
Sn = n/2 {2a + (n - 1) d}
= 12/2{2×1.7 + (12-1)1.7}
= 6{3.4 + (11) 1.7}
= 6(3.4 + 18.7)
= 6(22.1)
= 132.6
Concrete required for first 12 steps = 132.6 cubic feet
Learn more about sum of arithmetic progression:
brainly.com/question/24205483
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If the width = x m then the length = 2x - 4 m
Area = x(2x - 4) = 70
2x^2 - 4x - 70 = 0
2x^2 - 14x + 10x - 70 = 0
2x(x - 7) + 10(x - 7) = 0
(2x + 10)(x - 7) = 0
x = 7 or -5 ( ignore negative)
width = 7 m and length = 10 m answer
Answer:
70 and 110
Step-by-step explanation:
2x + 3x + 5 = 180
5x = 175
x = 35
2x -- 70
3x + 5 -- 110
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