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Anton [14]
3 years ago
5

Given that 2×+7=27 and 3×+1=28, does 2×+7=3×+1? explain ​

Mathematics
1 answer:
Maru [420]3 years ago
4 0

Answer:

No

Step-by-step explanation:

The variables are different in both problems. In 2×+7=27, it's 10, while in the other problem, it's 9.

27 doesn't equal 28.

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Find 2 common angles that sum to (17pi/12) 2. Evaluate tan(17pi/12) using the sum identity for tangent.
Dmitry [639]
Note that
\frac{17 \pi }{12} = \frac{3 \pi }{12} + \frac{14 \pi }{12} = \frac{ \pi }{4} + \frac{7 \pi }{6}

Note that
x= \frac{ \pi }{4}:\,\, sin(x) =cos(x)= \frac{1}{ \sqrt{2} },\,tan(x)=1\\x= \frac{7 \pi }{6} :\,\,sin(x)=- \frac{1}{2} ,\,\,cos(x)=- \frac{ \sqrt{3} }{2} ,\,\,tan(x)= \frac{1}{ \sqrt{3} }

Use the identity
tan(x+y)= \frac{tan(x)+tan(y)}{1-tan(x)tan(y)}

Therefore
tan( \frac{17 \pi }{12} )= \frac{1+ \frac{1}{ \sqrt{3} } }{1- \frac{1}{ \sqrt{3} } } = \frac{ \sqrt{3}+1 }{ \sqrt{3}-1} =  \frac{( \sqrt{3}+1 )^{2}}{( \sqrt{3}-1 )( \sqrt{3}+1 )}  = \frac{3+1+2 \sqrt{3}}{3-1} =2+ \sqrt{3}

Answer: 2 + √3
8 0
3 years ago
please help! A cheetah travels at a rate of 90 feet per second.The distance d traveled by the cheetah is a function of seconds t
Juliette [100K]
<h2><em>The equation would be d=90t because the input is 25 for t and multiply to get 2250 feet per second</em>. </h2>
6 0
3 years ago
Read 2 more answers
Please help and show work​
sweet-ann [11.9K]

Answer:

the tree is 8.8 m tall

I can't draw it but it will be two similar acute triangles. The one that represents the man will have a 2m height and a 5m base. The one that represents the tree will have an 8.8m height and a 22 m base.

Step-by-step explanation:

it's a proportional relationship

5/22=2/height

5(height)=2(22)

5(height)=44

divide both sides by 5

5(height)/5=44/5

height=8.8 m

3 0
3 years ago
The length of and width of the lake are 75 feet and 30 feet, respectively. What is the distance between the two poles, to the ne
pickupchik [31]
75^2+30^2=C^2 
75^2=5625 30^2=900
5625+900=6525
6525 square root is 80.77 answer is #2
5 0
3 years ago
AC = c/3 Bd = 4 - c
Pepsi [2]
The diagonals of a rectangle are congruent
meaning AC and BD are congruent
c/3 = 4-c
multiply both sides by 3
c = 12 -3c
add 3c to both sides
4c = 12
divide both sides by 4
c = 3

So the diagonals are
AB = c/3 = (3)/3 = 1
BD = 4-c = 4- (3) = 1

Hope this helps
8 0
3 years ago
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