Translate the sentence into an equation. Seven times the sum of a number and 4 is 3.

Mathematics

2 answers:

Galina-37 [17]2 years ago

8 0

Answer:

7(x+4)=3

Step-by-step explanation:

Mrac [35]2 years ago

4 0

Answer:

7(x+4)=3

Step-by-step explanation:

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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

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What feature might Samantha have used to sort these shapes into the same group

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Answer:

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three apples and four bananas cost $4.85 . three apples and ten bananas cost $8.75.Find the cost of an apple.

konstantin123 [22]

8.75-4.85= 3.90= cost of 6 bananas
3.9/6=0.65= cost of one banana
.65*4=2.60= cost of 4 bananas
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2.25/3=.75= cost of an apple

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3 years ago

Read 2 more answers

Answer correct you get brainliest answer

zloy xaker [14]

Answer:

$y = {x}^{2} - 2$