Sketch feda = 4pie/3 in standard position

1 answer:

7 0

Since 4pi/3 = 3pi/3 + pi/3 = pi + pi/3, that means it goes past the angle of pi (the negative x-axis), and an additional pi/3 radians. So this gives you a diagonal line that passes through the origin, from the third quadrant through to the first quadrant, and makes an angle of 60 degrees with the negative x-axis.

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The measure of b is ___ ?

Evgen [1.6K]

Answer:

Step-by-step explanation:

Use Pythagorean Theorem

If you are looking for leg given the other sides of the right triangle: just do bigger square minus small square

and take square root

so 29^2 - 20^2

And then sqrt it!

sqrt(29^2-20^2)

3 0

3 years ago

Read 2 more answers

If tan theta = 12/5 and cos theta < 0, what is sin theta ?

Talja [164]

1 + tan ² Ф=sec²Ф
1+(12/5)²=sec²Ф
169/25=sec² Ф
sec Ф=⁺₋√(169/25)=⁺₋13/5

sec Ф=1/cos Ф ⇒cosФ=1/sec Ф
cos Ф>0 ⇔ sec Ф>0 ⇔ sec Ф=+ 13/5

cos Ф=1/secФ
cos Ф=1 / 13/5=5/13

we can calculate the sin Ф, with this method.
sin²Ф + cos²Ф=1 ⇒ sin Ф=⁺₋√(1-cos² Ф)
sin Ф=⁺₋√[1-(5/13)²]=⁺₋12/13
like cos Ф>0 and tan Ф>0 ⇒ sin Ф>0 ⇒sin Ф=12/13

answer: d.12/13

other method
tan Ф=sin Ф / cos Ф
12/5=sin Ф / 5/13
sin Ф=(12/5)*(5/13)=12/13

answer: d.12/13

8 0

3 years ago

You borrow $500 to buy a computer. The simple interest rate is 15%. You pay off the loan after 4 years. How much do you pay for

GREYUIT [131]

Its $800 because to find interest u can use the formula I=PRT p is principal which is 500 times r which is rate-15/100(=15%) times 4

so the interest is 500×15/100×4=300
then u add 300 to 500 because the interest adds more money to the loan

4 0

3 years ago

Using formula z equals x over 5 and solving for x which is correct? x equals 5 z or x equals 5 over x or x equals z over 5 or x

erastovalidia [21]

Original
Z = X/5
Solve for X
Multiply both sides by 5
5Z = X
Answer
X = 5Z

6 0

3 years ago

CAN SOMEONE PLEASE HELP ME WITH MY MATH ASAP PLEASE!!!!

Ivanshal [37]

Answer:

Step-by-step explanation:

Hello,

The two triangles are similar and x is positive, different from 0, so we can write.

$\dfrac{x}{9}=\dfrac{12}{x}\\\\x^2=12\times 9\\\\ x = \sqrt{4\times 3 \times 9}=2\times 3 \times \sqrt{3}\\\\ \boxed{\sf \bf x=6\sqrt{3} }$

Thanks

8 0

3 years ago