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olya-2409 [2.1K]
3 years ago
10

Activity: A flagpole has cracked 1.7 m from the ground and fallen over, as if hinged. The top of the flagpole hit the ground 3 m

from the base. How tall was the flagpole before it fell?
Mathematics
1 answer:
Anastasy [175]3 years ago
8 0

Answer:

Height of flagpole before it fell = 5.15 m

Step-by-step explanation:

Given:

Height of remain pole (p) = 1.7 m

Distance from base (b) = 3 m

Find:

Height of flagpole before it fell

Computation:

Using Pythagorean theorem

H = √ p² + b

Length of broken part = √ 1.7² + 3²

Length of broken part = √ 2.89 + 9

Length of broken part = √ 11.89

Length of broken part = 3.45 (Approx)

Height of flagpole before it fell = Length of broken part + Height of remain pole

Height of flagpole before it fell = 3.45 + 1.7

Height of flagpole before it fell = 5.15 m

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Help me solve this question
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4 0
3 years ago
At a festival 2/7 of the number of girls was equal to 3/5 of the number of boys. There were 165 fewer boys than girls, how many
koban [17]
X=number of girls.
y=number of boys.
We can suggest this system of equations:
2/7 x=3/5 y ⇒10x=21y   ⇒x=21/10 y
y=x-165 

We can solve this problem by substitution method:
x=(21/10)(x-165)
10x=21x-3465
10x-21x=-3465
-11x=-3465
x=-3465 /-11=315

y=x-165=315-165=150

Number of children=number of girls + number of boys
Number of children=315 +150=465

Answer: there were 465 children  at the festival. 
5 0
3 years ago
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