Answer:
85 cm
Step-by-step explanation:
the strut forms a right triangle with the end of the pole.
let the ends of the strut be x from the top of the pole . then
using Pythagoras' identity with 2 legs x and hypotenuse 1.2
x² + x² = 1.2²
2x² = 1.44 ( divide both sides by 2 )
x² = 0.72 ( take square root of both sides )
x = 
≈ 0.85 m ( to 2 dec. places )
the ends are 0.85 m = 85 cm from the top of the pole
Answer:
x=8
Step-by-step explanation:
If it's a vertical line that means it's "sticking straight up" in a sense, so your line would go through all values of 8.
The car can travel 360 km with 24 liters of gasoline.
<h3>What is the unitary method?</h3>
The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
A car consumes 6.8 liters of gasoline for every 102 kilometers traveled.
6.8 liters of gasoline = 102 km
1 liters of gasoline = 102 km/ 6.8
= 15
24 liters of gasoline = 24 x 15 = 360
Hence, The car can travel 360 km with 24 liters of gasoline.
Learn more about the unitary method;
brainly.com/question/23423168
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Answer:
Approximately
n = 21 years
Step-by-step explanation:
Original height of the tree = 4 1/2 feet
Final height of the tree = 40 feet
Common difference = 1 3/4 feet per year
The data shows the question is an arithmetic progression
Tn = a + (n-1) d
Tn = 40
a = 4 1/2
d = 1 3/4
n = ?
Tn = a + (n-1) d
40 = 4 1/2 + ( n - 1) 1 3/4
40 = 9/2 + (n - 1) 7/4
40 = 9/2 + 7/4n - 7/4
40 = 18-7/4 + 7/4n
40 = 11/4 + 7/4n
40 - 11/4 = 7/4n
160-11/4 = 7/4n
149/4 = 7/4n
Divide both sides by 7/4
n = 149/4 ÷ 7/4
= 149/4× 4/7
= 149/7
n = 21.29 years
Approximately
n = 21 years
