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Sav [38]
3 years ago
12

Shelby found a tree branch that was 8 feet long.She chopped it into smaller pieces.If she wanted the wood pieces to be each have

6 inches long,how many pieces can she cut?
Mathematics
1 answer:
Zielflug [23.3K]3 years ago
7 0

16 pieces is the answer because, there is 12 in cues in one foot. So you take 12 and 8, multiply to get 96. Finally you need to divide by 6 and get 16

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Evaluate using suitable identity:<br>c). 98²​
Vesnalui [34]

Step-by-step explanation:

<h3><u>★ Solution :-</u></h3>

\sf \longmapsto 98^2

\sf \longmapsto (a - b)^2 = a^2 - 2ab + b^2

Here,

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  • b = 2

\sf \longmapsto (100 - 2)^2 = 100^2 - 2(100)(2) + 2^2

\sf \longmapsto 100^2 - 2(100)(2) + 2^2

\sf \longmapsto 10000 - 400 + 4

\sf \longmapsto 9606

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Find the value or measure. Assume all lines that appear to be tangent are tangent. X=
aev [14]

According to the secant-tangent theorem, we have the following expression:

(x+3)^2=10.8(19.2+10.8)

Now, we solve for <em>x</em>.

\begin{gathered} x^2+6x+9=10.8(30) \\ x^2+6x+9=324 \\ x^2+6x+9-324=0 \\ x^2+6x-315=0 \end{gathered}

Then, we use the quadratic formula:

x_{1,2}=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}

Where a = 1, b = 6, and c = -315.

\begin{gathered} x_{1,2}=\frac{-6\pm\sqrt[]{6^2-4\cdot1\cdot(-315)}}{2\cdot1} \\ x_{1,2}=\frac{-6\pm\sqrt[]{36+1260}}{2}=\frac{-6\pm\sqrt[]{1296}}{2} \\ x_{1,2}=\frac{-6\pm36}{2} \\ x_1=\frac{-6+36}{2}=\frac{30}{2}=15 \\ x_2=\frac{-6-36}{2}=\frac{-42}{2}=-21 \end{gathered}<h2>Hence, the answer is 15 because lengths can't be negative.</h2>
7 0
1 year ago
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