The table shows the price for different numbers of pens: Does this table of numbers represent a proportional relationship?

Find the exact value of Cos 240 degrees without a calculator. Show your work!

VMariaS [17]

it equals (−12) because cos(60∘)=12

Explanation:

The reference angle for 240∘ is 60∘ (since 240∘=180∘+60∘)

60∘ is an angle of one of the standard triangles with
cos(60∘)=12

240∘ is in the 3rd quadrant so (either by CAST or noting that the "x-side" of the associate triangle is negative)
cos(240∘)=−cos(60∘)

cos(240∘)=−12

6 0

3 years ago

Someone please help me

Troyanec [42]

Pythagorean theorem is $a^{2} + b^{2} = c^{2}$
and using that sin is opposite/hypotenuse, you can find the third side of the triangle.
$11^{2}+(adjacent)^{2} = 61^{2} \\ 121+ (adjacent)^{2} = 3721 \\ (adjacent)^{2}=3600 \\ adjacent = 60$
now you know adjacent is 60, so cos=60/61

4 0

3 years ago

Of the 36 students in the book club .five ninths Of the students prefer adventure books to historical books. How many of the stu

Effectus [21]

You have to make a tape diagram and divide it in to 9 parts because it is 5 out of 9 then you will make a bracket pointing to only 4 parts of the tape diagram then you do 36/9 and it will equal 4 so put 4 in to each part and so 4 x 4 is 16 so the answer is 16 people prefer historical books

8 0

3 years ago

Read 2 more answers

What simple interest rate would allow $6000 to grow to an amount of $14550 in 10 years?

Harman [31]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{ \: 14.25 \: \% \: }}}}}$