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Jet001 [13]
4 years ago
15

Triangle Q M N is shown. The length of Q M is 18, the length of M N is 17, and the length of Q N is 20. Law of cosines: a2 = b2

+ c2 – 2bccos(A) What is the measure of AngleQ to the nearest whole degree? 43° 49° 53° 58°
Mathematics
1 answer:
kvasek [131]4 years ago
3 0

Answer:

53°

Step-by-step explanation:

17² = 18² + 20² - 2(18)(20) cos Q

289 = 324 + 400 - 720 cos Q

289 = 724 - 720 cos Q

-435 = -720 cos Q

0.6042 = cos Q

cos^{-1} (0.6042) = Q

Q = 52.83

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the answer is 9.5 (B)

Step-by-step explanation:

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3.
Reil [10]

<u>Answer:</u>

x = 5.00 cm

<u>Step-by-step explanation:</u>

• area of the rectangle = x   x   (x + 1)

                                     = x^2 + x

• area of the circle = π r²

                               = \frac{22}{7}   x   (x + 2)^2

                               = \frac{22}{7}   x   (x^2 + 4x + 4)

∴   x^2 + x   +    \frac{22}{7}   x   (x^2 + 4x + 4)  = 184  

⇒  x^2 + x      +   \frac{22}{7}  x^2   \space\ + \space\ \frac{88}{7} x \space\  +  \space\  \frac{88}{7} = 184

⇒  \frac{29}{7}x^2 \space\  +  \space\  \frac{95}{7}x \space\ - \frac{1200}{7} = 0

• Using quadratic formula, where

a = \frac{29}{7}

b = \frac{95}{7}

c = \frac{-1200}{7} ,

x=\frac{-b \pm \sqrt{b^2-4c}}{2}

x = \frac{-\frac{95}{7}\pm \sqrt{(\frac{95}{7})^2 - 4(\frac{29}{7})(\frac{-1200}{7} )  }  }{2(\frac{29}{7})}

x = 5.00   \space\   \space\ \space\ or  \space\ \space\ \space\   x = -8.28

As length (x) cannot be a negative number,

x = 5.00 cm

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2 years ago
9. If a car travels 65 kilometers in 25 minutes, what is its speed in miles per hour? (1.6 km = 1 mile)
Artyom0805 [142]
There you go hope this helps

3 0
4 years ago
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