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son4ous [18]
2 years ago
7

Can someone help me with this question? Thank you!

Mathematics
2 answers:
Harman [31]2 years ago
6 0

Answer:

122°

Step-by-step explanation:

The Angle Sum Property of a triangle gives that the sum of the internal angles of a triangle is equal to 180°.

Hence,

⇒ ∠A + ∠B + ∠C = 180°

⇒ ∠A + <u>43°</u> + <u>15°</u> = 180°

⇒ ∠A + 58° = 180°

⇒ ∠A = 122°

emmasim [6.3K]2 years ago
4 0

Answer:

122°

Step-by-step explanation:

triangle = 180°

∴180 - 43 - 15

=122°

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Step 1:

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\begin{gathered} P(t)=-15.64t^2\text{ - 1.24t + 5.2}3 \\ =\text{ -15.64 }\times0.3^2\text{ - 1.24}\times\text{ 0.3 + 5.2}3 \\ =\text{ -1.4076 - 0.372 + }5.23 \\ =\text{ 3.45} \end{gathered}

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\begin{gathered} p(t)=-15.64t^2\text{ - 1.23t + 5.23} \\ =\text{ -15.64}\times0.52^2\text{ - 1.23}\times0.52\text{ + 5.23} \\ =\text{ -4.23 - 0.64 + 5.23} \\ =\text{ 0.36} \end{gathered}

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\begin{gathered} p(t)\text{ = 1} \\ p(t)=-15.64t^2\text{ - 1.23t + 5.23} \\ 1=-15.64t^2\text{ - 1.23t + 5.23} \\ -15.64t^2\text{ - 1.23t + 4.23 = 0} \\ t\text{ = 0.48222} \\ \text{t = 0.48 seconds} \end{gathered}

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