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3 years ago

I want to prove that (2tanx)/(sec^2x)=sin2x.

Mathematics

1 answer:

4vir4ik [10]3 years ago

5 0

Answer:

Step-by-step explanation:

$LHS = \frac{2 tan x}{Sec^{2} x}\\\\= 2tan x * \frac{1}{Sec^{2}x}\\\\= 2*\frac{Sinx }{Cos x}*Cos^{2}x\\\\= 2Sin x *Cos x\\= Sin 2x$

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A bedroom measures 15 ft by 14 ft with a closet that measures 4 ft by 8 ft. if carpet costs $4.25 per foot, how much will it cos

Anastasy [175]

First of all, I must assume that the correct cost for carpet is $4.25 per square foot.
It could be $4.25 per foot if it came of a standard roll, but then I would need to know the width of the roll, which you haven't given.

Area of the room = (15-ft x 14-ft) = 210 square feet

Area of the closet = (4-ft x 8-ft) = 32 square feet

Total area = (210 + 32) = 242 square feet.

Total cost of carpet = (242 x $4.25) = $1,028.50 plus pad and installation.
=========================================
You know what ? I think you may have mis-copied the price of carpet altogether.
At $4.25 per square foot, that's awfully expensive carpet.
I suspect the actual price is $4.25 per square yard. That's pretty cheap, but
it's a lot closer to reasonable than $4.25 per square foot is ($38.25 per yd² !)

If it's $4.25 per square yard, then we need to know that 1 square yd = 9 square ft.

The total requirement is 242/9 = 26 and 8/9 square yard, so you'll buy 27 sq yds.

$4.25 x 27 = $114.75 plus pad and installation. That sounds cheap but better.

7 0

3 years ago

Edward went to the grocery store and bought some bro pounds of vegetables the vegetables cost 1.50 per pound. If he bought 3.25

Natali5045456 [20]

The cost of each vegetable is €1.50 per pound

Edward bought 3.25 pounds of carrot.

So the cost of 3.25 pounds of carrots = 3.25 × 1.50 = €4.875

He also purchased $1\frac{2}{10}= 1\frac{2}{5} =\frac{6}{5}$ pounds of beet.

Quantity of beet purchased = 6/5 = 1.2 pounds

So the cost of beet shall be = 1.50 × 1.2 = €1.80

He purchased 0.95 pounds of Broccoli

So the cost of Broccoli shall be = 0.95 × 1.50 = €1.425

Total amount spent = 4.875 + 1.80 + 1.425 = €8.10

Edward spent €8.10 on vegetables.

7 0

3 years ago

I WILL MARK BRAINEST!! number 6 please!! i really need help thank you!

zhenek [66]

Answer:

((8-2t)x3t)-(3-txt)

Step-by-step explanation:

srry just guessing

5 0

3 years ago

The peaches are priced at three for $2. How much does one dozen cost? Write an equivalent ratio to find the answer. show your wo

AlekseyPX

Wouldn't it be

3:2
since there's 3 for 2

and then for 12 you would get
12:8

5 0

3 years ago

Read 2 more answers

PLEASE HELP! SO Confused

Diano4ka-milaya [45]

Answer:

12.73 Degrees

Step-by-step explanation:

I'm going to assume some things. The height of the truck is not changing, i.e. the distance and length of the ramp are but the height stays the same.

We draw our right triangle, see photo*

We really only care about finding out what side a is so

$c = \frac{a}{sin(A)} \\12 = \frac{a}{sin(36)} \\12sin(36) = a\\a = 7.05342302750\\sin(x) = (\frac{opp}{hyp} )\\sin(x) = (\frac{7.05342302750}{12} )\\= 35.9999 \:degrees$

So, since I stated that height did not change, the same process just using 32 for the hypotenuse.

$sin(x) = (\frac{opp}{hyp} )\\sin(x) = (\frac{7.05342302750}{32} )\\= 12.73367164 \:degrees$

6 0

3 years ago