Step-by-step explanation:What is the most important consideration when using pictographs to represent data? (1 point) The bars on the pictograph are the same width. The proportions of the pictographs are accurate, The image in the pictograph is related to the topic of the graph. Each pictograph contains the same volume.

6 0

3 years ago

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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

How do you solve this equation? 4 - 2x| + 5 = 9

Savatey [412]

Answer:

x=−2

Step-by-step explanation:

−2x+5−5=9−5

−2x=4

-2x/-2 = 4/-2

x=−2

7 0

3 years ago

The rectangular prism has a volume of 936 cubic inches. Write and solve an equation to find the missing dimension of the prism.

Alika [10]

Answer: Solution in photo

4 0

3 years ago