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4 years ago

Help what is greater?45.10 or 45.01???

Mathematics

2 answers:

Elanso [62]4 years ago

7 0

The greater is 45.10 but iam not really sure

Anika [276]4 years ago

4 0

45.10 is greater than 45.01

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Lowering powers write in terms of first power of cosine. Cos^6

yaroslaw [1]

The main identity you need is the double angle one for cosine:

$\cos^2x=\dfrac{1+\cos2x}2$

We get

$\cos^6x=(\cos^2x)^3=\left(\dfrac{1+\cos2x}2\right)^3=\dfrac{(1+\cos2x)^3}8$

Expand the numerator to apply the identity again:

$\cos^6x=\dfrac{1+3\cos2x+3\cos^22x+\cos^32x}8$

$\cos^6x=\dfrac{1+3\cos2x+3\left(\frac{1+\cos2(2x)}2\right)+\cos2x\left(\frac{1+\cos2(2x)}2\right)}8$

$\cos^6x=\dfrac{1+3\cos2x+\frac32+\frac32\cos4x+\frac12\cos2x(1+\cos4x)}8$

$\cos^6x=\dfrac5{16}+\dfrac7{16}\cos2x+\dfrac3{16}\cos4x+\dfrac1{16}\cos2x\cos4x$

Finally, make use of the product identity for cosine:

$\cos2x\cos4x=\dfrac{\cos6x+\cos2x}2$

so that ultimately,

$\cos^6x=\dfrac5{16}+\dfrac7{16}\cos2x+\dfrac3{16}\cos4x+\dfrac1{32}\cos2x+\dfrac1{32}\cos6x$

$\cos^6x=\dfrac5{16}+\dfrac{15}{32}\cos2x+\dfrac3{16}\cos4x+\dfrac1{32}\cos6x$

4 0

4 years ago

Which statement is true?

Leokris [45]

Answer:

5 is between 3 and 7

Step-by-step explanation

3, 4, <u><em>5</em></u>, 6, 7

3 0

3 years ago

Solve for x, find the simplified radical & decimal

Ronch [10]

Answer:

x = 6 $\sqrt{2}$ = 8.485

Step-by-step explanation:

In a 45-45-90 triangle, the hypotenuse is $\sqrt{2}$ times the length of a leg.

So, if you are given the hypotenuse, then divide its length by $\sqrt{2}$

x = 12/ $\sqrt{2}$ = 12 $\sqrt{2}$ /2 = 6 $\sqrt{2}$ = 8.485

4 0

3 years ago

A square has an area of 81x square cm. What is the perimeter of the square ?

Fudgin [204]

Answer:

The perimeter of the square is $36\sqrt{x}\ cm$

Step-by-step explanation:

step 1

Find the length side of the square

we know that

The area of a square is equal to

$A=b^{2}$

where

b is the length side of the square

we have

$A=81x\ cm^{2}$

substitute and solve for b

$81x=b^{2}$

square root both sides

$b=9\sqrt{x}\ cm$

step 2

Find the perimeter of the square

we know that

The perimeter of the square is equal to

$P=4b$

we have

$b=9\sqrt{x}\ cm$

substitute

$P=(4)9\sqrt{x}$

$P=36\sqrt{x}\ cm$

6 0

3 years ago

A ___ is an exponential expression with 10 as the base.

bagirrra123 [75]

Answer:

power of ten

Step-by-step explanation:

A power of ten is an exponential expression with 10 as the base. The first few power of tens (nonnegative) are 1, 10, 100, 1,000, and so on.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

4 0

2 years ago