Answer: 9.19 ft
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.
Sin α = opposite side / hypotenuse
Where α is the angle of elevation of the ladder to the ground, the hypotenuse is the longest side of the triangle (in this case is the length of the ladder), and the opposite side (x) is distance between the top of the ladder and the ground.
Replacing with the values given:
Sin 45 = x/ 13
Solving for x
sin45 (13) =x
x= 9.19 ft
Feel free to ask for more if needed or if you did not understand something.
Answer:
30%
Step-by-step explanation:
there are two numbers that fit in the x<=3 category, those being -3 and -5, so you add the two decimals for them (.17 and .13) to get .30 and move the decimal two times to the right to make it in percentage form.
550+450-120+720=1,600
720/1,600*100%
=720/160%
=45%
therefore, 45% of new balance
The prime factorization of 70 is 2*5*7
Further explanation:
First of all let us define prime factorization
Prime factorization consists of all the prime multiples of a number i.e. the factors should also be prime numbers
Given number is 70
The multiples of 70 are
70 = 2*35 => 35 is composite number
70 = 5*14 => 14 is a composite number
70 = 7*10 => 10 is a composite number
70 = 2*5*7 => All factors are prime so
The prime factorization of 70 is 2*5*7
Keywords: Factorization, Prime factors
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