Answer:
$9.40, $0.60, $10.60
Step-by-step explanation:
$8.53 + $0.87 = $9.40
$10 - $9.40 = $0.60
$20 - $9.40 = $10.60
Answer:
9:2
Step-by-step explanation:
Put in what we know
cars: motorcycles
9 2
Answer:
107
Step-by-step explanation:
Plug in 11 for a, and 8 for b.
a + ab + b
(11) + (11 * 8) + (8)
Remember to follow PEMDAS. First multiply, then combine terms:
11 + (11 * 8) + 8
11 + (88) + 8
99 + 8
107
107 is your answer.
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Answer:
Look below.
Step-by-step explanation:
![2 (cotx)^{2} + 2 = 7 + 3 cot x\\let \\ u=cotx\\2u^2+2=7+3u\\2u^2-3u-5=0\\](https://tex.z-dn.net/?f=2%20%28cotx%29%5E%7B2%7D%20%20%20%2B%202%20%3D%207%20%2B%203%20cot%20x%5C%5Clet%20%5C%5C%20u%3Dcotx%5C%5C2u%5E2%2B2%3D7%2B3u%5C%5C2u%5E2-3u-5%3D0%5C%5C)
![x=\frac{-(-3)+\sqrt{9-4(2)(-5))} }{2(2)} \\x=\frac{-(-3)-\sqrt{9-4(2)(-5))} }{2(2)} \\x={11/4}\\x=-1\\\\u=cotx\\x=arccotu\\x_{1}=arccot(-1) \\x_{2}=arccot(11/4)\\](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-%28-3%29%2B%5Csqrt%7B9-4%282%29%28-5%29%29%7D%20%7D%7B2%282%29%7D%20%5C%5Cx%3D%5Cfrac%7B-%28-3%29-%5Csqrt%7B9-4%282%29%28-5%29%29%7D%20%7D%7B2%282%29%7D%20%5C%5Cx%3D%7B11%2F4%7D%5C%5Cx%3D-1%5C%5C%5C%5Cu%3Dcotx%5C%5Cx%3Darccotu%5C%5Cx_%7B1%7D%3Darccot%28-1%29%20%5C%5Cx_%7B2%7D%3Darccot%2811%2F4%29%5C%5C)
Calculate x1 and x2 in calculator. Check for domain.
Answer:
Measure of arc CD = 112°
Step-by-step explanation:
Since quadrilateral ABCD is a cyclic quadrilateral,
m∠A + m∠C = 180°
129° + m∠C = 180°
m∠C = 180° - 129°
m∠C = 51°
Since, m(arc BD) = 2(m∠C) [Since measure of the arc is double of its inscribed angle]
= 2(51°)
= 102°
Since, m(arc BD) + m(arc CD) + m(arc BC) = 360°
102° + m(arc CD) + 146° = 360°
m(arc CD) = 360° - (102° + 146°)
= 112°
Therefore, measure of arc CD is 112°.