Height/width=5/19
5/19=2/x
(5)(x)=(19)(2)
5x=38
5/5x=38/5
x=38/5in or 7.6in
Let the base of the ladder be x ft and the extension be y ft.
"when fully extended, a ladder is 28 feet in length."
means: x+y=28
"<span>the extension is 4 feet shorter than the base</span>"
means: y=x-4, that is x-y = 4, (taking y to the side of x, and -4 to the other side of x and y)
thus, we have the system of equations:
1) x+y= 28
2) x-y=4
adding the 2 equations, we have:
(x+y)+(x-y)=28+4
2x=32
x=32/2=16
x+y=28, so 16+y=28, thus y=12
Answer: Base: 16, Extension 12
Answer:
x=14
Step-by-step explanation:
If the y=8 then plug it in the equation:
3x-5(8)=2
It will be:
3x-40=2
3x=42
x=14
Answer:✔ 25 ✔ 312.5
Step-by-step explanation:
Hope this helps Edge2021
Answer:
8.9 ft. (Option C)
Step-by-step explanation:
Here, we are given a right angled triangle. We are asked to find the value of perpendicular (y).
We'll be using pythagoras property.
According to the pythagoras property, sum of the squares of base and perpendicular is equivalent to the square of hypotenuse.
Here,
- Hypotenuse = 12 ft
- Base = 8 ft
- Perpendicular (y) = ?
→ H² = B² + P²
→ H² - B² = P²
→ (12 ft)² - (8 ft)² = y²
→ 144 ft² - 64 ft² = y²
→ 80 ft² = y²
→ √(80 ft²) = y
→ 8.94427191 ft = y
→ <u>8.9</u><u> </u><u>ft</u><u> = y</u>
<u>Value</u><u> </u><u>of</u><u> </u><u>y</u><u> </u><u>is</u><u> </u><u>8</u><u>.</u><u>9</u><u>.</u><u> </u><u>(</u><u>Option </u><u>c</u><u>)</u>