Answer:
11.4018 meters
Step-by-step explanation:
The ladder, wall and floor together form a right triangle with the length of the ladder being the hypotenuse, the distance of the foot of the ladder from the wall being one of the shorter sides and the distance between the top of the ladder and the floor being the other side
We can use the Pythagorean theorem to solve for the hypotenuse given the two sides
The general formula is:
where c is the hypotenuse and a and b the other two sides
Substituting a = 7 and b = 9 gives:
So length of ladder = 11.4018 meters
Answer:
1. z = 128
2. x = 4.2
3. c = 10
4. w = 100
5. a = 95.2
Step-by-step explanation:
1. Solve for z:
z/16 = 8
Multiply both sides of z/16 = 8 by 16:
(16 z)/16 = 16×8
(16 z)/16 = 16/16×z = z:
z = 16×8
16×8 = 128:
Answer: z = 128
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2. Solve for x:
3.5 x = 14.7
Divide both sides of 3.5 x = 14.7 by 3.5:
(3.5 x)/3.5 = 14.7/3.5
3.5/3.5 = 1:
x = 14.7/3.5
14.7/3.5 = 4.2:
Answer: x = 4.2
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3. Solve for c:
32 = 3.2 c
32 = 3.2 c is equivalent to 3.2 c = 32:
3.2 c = 32
Divide both sides of 3.2 c = 32 by 3.2:
(3.2 c)/3.2 = 32/3.2
3.2/3.2 = 1:
c = 32/3.2
32/3.2 = 10:
Answer: c = 10
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4. Solve for w:
(2 w)/5 = 40
Multiply both sides of (2 w)/5 = 40 by 5/2:
(5×2 w)/(2×5) = 5/2×40
5/2×2/5 = (5×2)/(2×5):
(5×2)/(2×5) w = 5/2×40
5/2×40 = (5×40)/2:
(5×2 w)/(2×5) = (5×40)/2
(5×2 w)/(2×5) = (2×5)/(2×5)×w = w:
w = (5×40)/2
2 | 2 | 0
| 4 | 0
- | 4 |
| | 0
| - | 0
| | 0:
w = 5×20
5×20 = 100:
Answer: w = 100
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5. Solve for a:
a/14 = 6.8
Multiply both sides of a/14 = 6.8 by 14:
(14 a)/14 = 14×6.8
(14 a)/14 = 14/14×a = a:
a = 14×6.8
14×6.8 = 95.2:
Answer: a = 95.2
Answer:
100,243,000
Step-by-step explanation:
100,000,000 + 243,000 = 100,243,000
Answer:
i think it is 31
Step-by-step explanation:
The hexagon is composed of two trapezoids (both of which are congruent). Let's find the area of the top trapezoid
A = h*(b1+b2)/2
A = 10*(40+10)/2
A = 10*(50)/2
A = 500/2
A = 250
Each trapezoid has area of 250 square units. So the combined area is 2*250 = 500 square units
The area of the hexagon is 500 square units.