Simplify the expression: 1/1+cot^2xa.sec^2x
b.csc^2x
c.sin^2x
d.cos^2x
e.tan^2x

Answers

Answer 1

Answer: $\sin ^( 2 ){ x } +\cos ^( 2 ){ x } =1\n \n \frac { \sin ^( 2 ){ x } }{ \sin ^( 2 ){ x } } +\frac { \cos ^( 2 ){ x } }{ \sin ^( 2 ){ x } } =\frac { 1 }{ \sin ^( 2 ){ x } } \n \n 1+\cot ^( 2 ){ x } =\csc ^( 2 ){ x }$

Because of this...

$\frac { 1 }{ 1+\cot ^( 2 ){ x } } \n \n =\frac { 1 }{ \csc ^( 2 ){ x } }$

But...

$\frac { 1 }{ \csc ^( 2 ){ x } } =\sin ^( 2 ){ x }$

Therefore:

$\frac { 1 }{ 1+\cot ^( 2 ){ x } } =\sin ^( 2 ){ x }$

Answer:

(c)

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suzanne wants to put a fence around her square garden. if the garden covers an area of 100 ft, how many feet of fencing does she need?

Answers

She needs 40 feet of fencing. Hope it helps! :)

Answer:

40 ft

Step-by-step explanation:

Graph y is less than or equal to 3

Answers

It would be a horizontal line (dotted line) at the y intercept 3. Make a line 3 units up, and it is dotted. Shade below the dotted line, to show the "less than" part. Hope this helps

It will be a straight solid line, which is horizontal to 3 on the y axis, so no matter what point you chose on the horizontal line y will always equal 3.
If you need to also include shading on your graph the shading will be above the horizontal line

A piggy bank contains $5.60 in nickels and dimes. The number of nickels is 8 less than 3 times the dimes. How many nickels and dimes are there in the piggy bank?

Answers

the value of the coin times the number of coins all added up equals the total value of the piggy bank
so
0.05n + 0.10d = 5.60

then they have given us "number of nickels is 8 less than 3 times the dimes"
this translates to
n = 3d - 8

we plug this into our first equation and we get
0.05(3d - 8) + 0.10d = 5.60

now we solve for d
first we can distribute the 0.05
0.15d - 0.40 + 0.10d = 5.60

then we can add the 0.15d and 0.10d together
and get
0.25d - 0.40 = 5.60

then we can add 0.40 to both sides
0.25d = 6.00

then divide both sides by 0.25
d = 6.00 / 0.25 = 24
so we have 24 dimes

then to find nickels, we plug in 24 for d into
n = 3d - 8
and get
n = 3(24) - 8
n = 72 - 8
n = 64

therefore we have
64 nickels
and
24 dimes

Answer:

24 dimes

64 nickels

Step-by-step explanation:

The area of a rectangle is 36 cm2. The length of the rectangle is 8 cm.What is the width of the rectangle?

cm

Answers

What is the width of the rectangle? My answer is 32

Determine the remainder when (5x3 + 49x2 + 74x + 6) is divided by (x + 8).

Answers

Determine the remainder when (5x3 + 49x2 + 74x + 6) is divided by (x + 8)

-103?

Sun Gold paint is made by mixing 3 parts yellow to 2 partsred. How much red is to be mixed with 4 quarts of yellow?

Answers

3 parts red I think please don’t hate me I don’t know :((

Final answer:

To mix with 4 quarts of yellow paint, one would need approximately 2.67 quarts of red paint. This was determined through the use of ratio and proportion.

Explanation:

To determine how much red paint needs to be mixed with 4 quarts of yellow paint, we use ratio and proportion. We know the paint is mixed at a ratio of 3:2 yellow to red. Hence, we assume that 3 parts is equivalent to 4 quarts of yellow paint. So, we can use cross-multiplication to find the equivalent volume of red paint:

3 yellow : 2 red = 4 quarts yellow : x quarts red.

So, we solve 2x = 4 * 3/3. Doing the maths, we get, x = 2.67 quarts it’s the required volume of red paint for 4 quarts of yellow paint.