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guajiro [1.7K]
3 years ago
9

What’s the hypotenuse?

Mathematics
1 answer:
Karolina [17]3 years ago
7 0

Answer:

c = 10 feet

Step-by-step explanation:

Use the Pythagorean theorem:  a^2 + b^2 = c^2

<u>Step 1:  Plug in the information</u>

(6)^2 + (8)^2 = c^2

36 + 64 = c^2

100 = c^2

sqrt(100) = sqrt(c^2)

<em>10 = c</em>

<em />

Answer: c = 10 feet

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Can someone show me how to factor this please?
Alex_Xolod [135]

Answer:

\displaystyle \theta = \left\{\frac{7\pi}{6}, \, \frac{3\pi}{2}, \frac{11\pi}{6}\right\}

Step-by-step explanation:

We want to solve the equation:

2\sin ^2 \theta + 3\sin \theta + 1 = 0

In the interval [0, 2π).

Notice that this is in quadratic form. Namely, by letting u = sin(θ), we acquire:

\displaystyle 2u^2 + 3u + 1 = 0

Factor:

\displaystyle (2u+1)(u+1) = 0

By the Zero Product Property:

\displaystyle 2u + 1 = 0\text{ or } u + 1 = 0

Solve for each case:

\displaystyle u = -\frac{1}{2} \text{ or } u = -1

Back-substitute:

\displaystyle \sin \theta = -\frac{1}{2} \text{ or } \sin \theta =-1

Use the Unit Circle. Hence, our three solutions in the interval [0, 2π) are:

\displaystyle \theta = \left\{\frac{7\pi}{6}, \, \frac{3\pi}{2}, \frac{11\pi}{6}\right\}

8 0
3 years ago
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mars1129 [50]

Answer

x+3=17

Step-by-step explanation:

8 0
3 years ago
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Slope of line that passes through points (2,1) and (17,-17)
mojhsa [17]

Answer: y = -1,2x + 3.4

Step-by-step explanation:

y = ax + b

(2,1)      => 1    = 2a + b (1)

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Part A:

The drawing representing Eli's walking pattern is attached.


Part B:
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Part C:
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3 years ago
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bagirrra123 [75]
1235 / 100              

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12.35

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3 years ago
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