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Marina86 [1]
4 years ago
6

The temperature one morning was 72.5*C it was 5.5 degrees warmer by noon and the temperature dropped 8.25 degrees by early eveni

ng. What was the temperature that evening???
Mathematics
1 answer:
cluponka [151]4 years ago
8 0
72.5 + 5.5 = 78

78 - 8.25 = 69.75

Warmer means good up and colder means going down
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Root 3 cosec140° - sec140°=4<br>prove that<br><br>​
Lorico [155]

Answer:

Step-by-step explanation:

We are to show that \sqrt{3} cosec140^{0} - sec140^{0} = 4\\

<u>Proof:</u>

From trigonometry identity;

cosec \theta = \frac{1}{sin\theta} \\sec\theta = \frac{1}{cos\theta}

\sqrt{3} cosec140^{0} - sec140^{0} \\= \frac{\sqrt{3} }{sin140} - \frac{1}{cos140} \\= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\

From trigonometry, 2sinAcosA = Sin2A

= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\\\=  \frac{\sqrt{3}cos140-sin140 }{sin280/2}\\=  \frac{4(\sqrt{3}/2cos140-1/2sin140) }{2sin280}\\\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{sin280}\\since sin420 = \sqrt{3}/2 \ and \ cos420 = 1/2  \\ then\\\frac{4(sin420cos140-cos420sin140) }{sin280}

Also note that sin(B-C) = sinBcosC - cosBsinC

sin420cos140 - cos420sin140 = sin(420-140)

The resulting equation becomes;

\frac{4(sin(420-140)) }{sin280}

= \frac{4sin280}{sin280}\\ = 4 \ Proved!

3 0
3 years ago
Simplify. 32 + 1 x 2 (1).8 (2).20 (3).14 (4).11​
pshichka [43]

Answer:

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Step-by-step explanation:

simplify the expression

4 0
3 years ago
To avoid a storm, a passenger-jet pilot descended 0.44 mile in 0.8 minutes. What was the planes average change of altitude per m
Tcecarenko [31]

The average change of altitude per minute would simply be the ratio of distance descended over time. That is:

average change of altitude = distance / time

average change of altitude = 0.44 mile / 0.8 minutes

<span>average change of altitude = 0.55 mile / minute</span>

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3 years ago
Diego has some money in his bank account before his summer job. He deposits the money form the summer job in his bank account an
Amanda [17]

Answer: i will say About $23.77 per hour.

Step-by-step explanation:

i hope this help btw good luck

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Alexxandr [17]

Answer:

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6 0
3 years ago
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