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Yanka [14]
3 years ago
13

Find the range of possible values of n.

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
6 0

Answer:

B. 6 < n < 25

Step-by-step explanation:

We are given the triangles WXY and WZY with sides XY and ZY congruent and equal to 8.

As the sides WX = 11 > WZ = 9.

Then, the angles opposite to WX will  be greater than the angle opposite to WZ.

i.e. ∠WYX > ∠WYZ

i.e. (7n+5)° > 47°

i.e. 7n° > 42°

i.e. n > \frac{42}{7}°

i.e. n > 6°

Since in ΔWXY, the sum of all three angles is 180°.

This means that (7n+5)° < 180°

i.e. 7n < 175°

i.e. n <  \frac{175}{7}°

i.e. n < 25°

Hence, we get that the range of n is 6 < n < 25.

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Step-by-step explanation:

If we are given the quadratic model, we know that the height of anything on the ground is 0 meters, so that model becomes

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Now we need to factor that quadratic and solve for time:

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Since -2 definitely does not equal 0, then

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3 years ago
Given the formula for an arithmetic sequence f(7) = f(6) + 4 written using a recursive formula, write the sequence using an arit
natita [175]

Answer:

Of(7) = f(1) + 24

Step-by-step explanation:

Since this Arithmetic Sequence can be written recursively as a function, then we can write the whole sequence, by adding the common difference to the previous function. So writing it as an Arithmetic formula is (placing an example, with a common difference of 4 units):

\left.\begin{matrix}n &1&2&3&4&5&6 &7\\f(n)&2&6&10 & 14&18&22&26 \end{matrix}\right|\\f(n)=f(n-1)+d\:\: (Recursive \: Formula)\Rightarrow a_{n}=a_{n-1}+4\: \: \: (Arithmetic\: Formula)\\Of(7)=f(1)+6*4\Rightarrow a_{7}=a_{1}+(7-1)4\Rightarrow a_{7}=a_{1}+24\\

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Please help, show work!!! :))
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25.59- 9.99= 15.60
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312 minutes this month
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