Given that \tan\theta =\frac{12}{35}tanθ= 35 12 and that angle \thetaθ terminates in quadrant \text{III}III, then what is the value of \cos\thetacosθ?

Step-by-step explanation:

Given

Quadrant: 3rd

Required

Determine

This question will be solved using the Pythagoras theorem

The tangent of an angle is calculated as thus;

Comparing

to

We can conclude that

Substitute these values in the Pythagoras formula

Square root of both sides

SInce is in the 3rd quadrant, then

Where and

false

step-by-step explanation:

whenever we assume a point on a plane then according to geometry it will definitely have 2 dimensions and if it assumed in space then it will have 3 dimensions.

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.