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KATRIN_1 [288]
3 years ago
13

What is the length of AC?

Mathematics
1 answer:
natima [27]3 years ago
3 0

7/x = 84 / (156 -x)
84x = 7(156 -x)
84x = 1092 - 7x
91x = 1092
x = 12

AC = 156 - 12 = 144

answer
D. 144
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Find the average rate of change of the function over the given interval.
Minchanka [31]

Answer:

Average rate of change = 20.2

Rate of change at the left endpoint :   f' (5) = 4t = 20

Rate of change at the right  endpoint : f' (5.1) = 4*5.1 = 20.4

Step-by-step explanation:

The average rate of change of the function

F(t) = 2t^2 - 1 ,  [ 5,5.1 ]

solution

\frac{f(5.1)-f(5)}{5.1 - 5} = \frac{2*(5.1)^2-1-(2*5^2-1)}{0.1}   = [ 2 ( 26.01 - 25 ) / 0.1 ]

= 2.02 / 0.1 = 20.2

Rate of change at the left endpoint :   f' (5) = 4t = 20

Rate of change at the right  endpoint : f' (5.1) = 4*5.1 = 20.4

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3 years ago
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Which statement must be true
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4(0.5x+2.5y-0.7x-1.3y+4)
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In a certain quiz that consists of 10 questions, each question after the first is worth 4 points more than the preceding questio
Artyom0805 [142]

Answer:  The correct option is

(C) 26.

Step-by-step explanation: Given that in a certain quiz that consists of  10 questions, each question after the first is worth 4 points more than the preceding question.

All  the 10 questions on the quiz are worth a total of 360 points.

We are to find the worth of the third question in points.

Since each question after the first is worth 4 points more than the preceding question, so this will make an arithmetic sequence with

first term a, common difference, d = 4  and number of terms, n = 10.

We know that, in an A.P. with first term a and common difference d,

\textup{nth term, }a_n=a+(n-1)d,\\\\\textup{sum of first n terms, }S_n=\dfrac{n}{2}\{2a+(n-1)d\}.

According to the given information,

\textup{sum of first 10 terms, }S_n=360\\\\\Rightarrow \dfrac{10}{2}\{2a+(10-1)4\}=360\\\\\Rightarrow 5(2a+36)=360\\\\\Rightarrow 10(a+18)=360\\\\\Rightarrow a+18=36\\\\\Rightarrow a=36-18\\\\\Rightarrow a=18.

Therefore, the third term of the sequence is

a_3=a+(3-1)d=18+2\times4=18+8=26.

Thus, the third question worth 26 points.

Option (C) is CORRECT.

7 0
3 years ago
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