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MrRissso [65]
3 years ago
7

Kenneth shared a basket of apples with 3 of his friends. The basket weighed 14.75 pounds. What is the weight of each Apple he ha

ve to each of his friends?
Mathematics
1 answer:
Korolek [52]3 years ago
3 0
Huum i am not quite sure but i think it is 4.97pounds each apple !!
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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
60000/23/35767755x100000 whats the answer?
AlekseyPX

This would be a great question to just plug into a calculator. I'm sure you will find the answer quite easily if you use a calculator.

6 0
3 years ago
If ☆ x 2 = 0, then ☆ 8 will equal:<br> 0 + 6<br> O + 8<br> 0 x 2<br> O X4<br> 0 x 8
soldier1979 [14.2K]
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3 years ago
Write the equation of a line, in slope-intercept form, that has a slope of m=9 and passes through the point (4, 31)
Darina [25.2K]

Answer:

9x-y = 5

Step-by-step explanation:

Equation of line in slope intercept form:

y-y1 = m*(x-x1), m=9, (x1,y1)=(4,31)

y-31 = 9*(x-4)

y-31 = 9x-36

9x-y = 36-31

9x-y = 5

4 0
3 years ago
Will mark Brainliest
olga55 [171]

Answer:

10

Step-by-step explanation:

This means that 12/(2x+1)=8/(x+4). Cross multiply to get 16x + 8 = 12x + 48. Subtract 12x + 8 from both sides to get 4x = 40, so x = 10.

3 0
3 years ago
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