Mathematics, 17.07.2020 01:01 aktersumaiya250

ABCD IS a rectangle and line OA is perpendicular to line OB, line BC is equal to 2cm, line CD is equal to 6cm and tan x degree is equal to 3 / 4.find the values of a. sinx b. cos x and c. line OZ.

Answers: 3

Show answers

Answers

Answer from: naomiedgrey

a) sinx = 3/5

b) cosx = 4/5

c) line OZ = 3cm

Step-by-step explanation:

Two different questions are stated here:

The first is rectangle ABCD where two of its sides are given and we are to find line OZ

The second is on trigonometry. We have been given the tangent ratio and we are to find the sine and cosine ratio.

1) Rectangle ABCD dimensions:

AB = 2cm

CD = 6cm

So we know when we are drawing the rectangle, the smallest side = 2cm and biggest side = 6cm

AO is perpendicular to OB

Line OZ cuts line AB into two

Find attached the diagram

To determine Line OZ, we would apply tangent rule since we know adjacent but opposite is missing.

All 4 angles in a rectangle = 90°

∠OAZ = 45

tan 45 = opposite/adjacent

tan 45 = OZ/3

OZ = 3 × tan45

OZ = 3×1

OZ = 3cm

2) tanx = 3/4

Tangent ratio = opposite/adjacent

opposite = 3, adjacent = 4

see attachment for diagram

Sinx = opposite/hypotenuse

Using Pythagoras theorem

hypotenuse² = opposite² + adjacent²

hypotenuse² = 3²+4² = 9+16 = 25

hypotenuse = √25

hypotenuse = 5

Sinx = opposite/hypotenuse

Sinx = 3/5

Cosx = adjacent/hypotenuse

Cosx = 4/5

a) 3/5

b) 4/5

c) 3cm

ABCD IS a rectangle and line OA is perpendicular to line OB, line BC is equal to 2cm, line CD is equ

Answer from: Quest

The answer is 270 cars.you can do this by making a proportional relationship. for instance, 200 is the whole we are using, so on a “number line” 200 would be over 100%. now, since he sells 35% more, add 35% to 100% to get 135% on the other side of the “number line” on the bottom half, leaving the top half empty.cross multiply 200 by 135 then divide by 100 to get your answer. i hope this , if it did, , if you don’t mind, giving me brainiest! 200/100% } 200 • 135 /100 ? /135%

Answer from: Quest

answer: the resulting cross section is a rectangle. solution: a plane parallel to the base of a triangular prism will intersect a cross section that is the same shape as its bases. so the cross section is a triangle.

step-by-step explanation:

Aslice is made perpendicular to the base of a right rectangular pyramid through the vertex. what is

Another question on Mathematics

Mathematics, 21.06.2019 17:30

If jaime wants to find 60% of 320, which table should he use?

Answers: 1

Answer

Mathematics, 21.06.2019 21:30

Amira is painting a rectangular banner 2 1/4 yards wide. the banner will have a blue background. amira has enough paint to cover 1 1/2 square yards of the wall. the school colors are blue and yellow, so amira wants to add yellow rectangles on the left and right sides of the blue rectangle. the yellow rectangles will each be 3/4 yards wide and the same height as the blue rectangle. what will be the total area of the two yellow rectangles?

Answers: 3

Answer

Mathematics, 22.06.2019 02:30

Problem 3 a bank charges a service fee of $7.50 per month for a checking account. a bank account has $85.00. if no money is deposited or withdrawn except the service charge, how many months until the account balance is negative

Answers: 2

Answer

Mathematics, 22.06.2019 02:30

Jennifer is 20 miles north of her house, and she is driving north on the highway at a rate of 55 miles per hour whats the slpoe

Answers: 2

Answer

You know the right answer?

ABCD IS a rectangle and line OA is perpendicular to line OB, line BC is equal to 2cm, line CD is equ...

Questions