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irina1246 [14]
3 years ago
12

Can u PLEASE help with problem 3. and 4. (ONLY IF YOU KNOW)

Mathematics
1 answer:
Rina8888 [55]3 years ago
3 0
It would help if we were able to see the previous exercises to help you with these.
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A ladder is leaning against a wall. The top of the ladder is 9 feet above the ground. If the bottom of the ladder is moved 3 ft
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Let L represent the ladder length, and x the distance the horiz. ladder reaches out from the wall.  Then L = x + 3, where x is the distance of the bottom of the ladder from the wall when the top of the ladder is 9 ft. above the ground.

Consider the triangle formed by the hypotenuse (L, same as ladder length), the (vertical) side opposite the angle formed by the hypo. (with length 9 ft) and the horiz side (which we will call x).  Then, according to the Pythagorean Theorem,
L^2 = x^2 + 9^2.    But L = x + 3, and L^2 = x^2 + 6x + 9 = x^2 + 9^2.  Solving this equation results in x=3.                                    6x + 9 =          9^2, or
                                                                                6x + 9 =  81
                                                                                 6x       = 72
                                                                                   x = 12
 
 But L = x+3.  So L=12+3, or   L = 15 (feet).
        
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3 years ago
A sequence is defined recursively using the formula f(n + 1) = –0.5 f(n) . If the first term of the sequence is 120, what is f(5
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\bf \begin{array}{rrlll} term&\stackrel{f(n+1)=-0.5f(n)}{~\hfill value~ }\\ \cline{1-2} f(1)&120\\ f(2)&-0.5(120)\\ &-60\\ f(3)&-0.5(-60)\\ &30\\ f(4)&-0.5(30)\\ &-15\\ f(5)&-0.5(-15)\\ &7.5 \end{array}

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Time = T half–years , Rate = 5 % per half year

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What is the sum of /-10/ and /6/
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-10 opposite is 10 which this \ or | means the its positive number. So 10 +6 is 16

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