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3 years ago

Is 18% larger than 0.7

Mathematics

2 answers:

navik [9.2K]3 years ago

4 0

No. 18% in decimal form is 0.18. 0.7 (or 0.70) is more than 0.18. In other words,
18% < 0.7

Katarina [22]3 years ago

4 0

No because if you were to make .7 a percent it would be 70% because it is 1 number and no extra zero before 7 so it is below 100 so 18 percent would be .18 so 18% is larger.

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Simplify the expression 1/√(1-cos^2 x) . Remember cos x= 1/csc x

Cerrena [4.2K]

First, we are going to use the Pythagorean identity: $sin^2(x)+cos^2(x)=1$ to rewrite our expression. Solving for $sin^2(x)$ in our Pythagorean identity we get that $sin^2(x)=1-cos^2(x)$ , so we can rewrite our expression as follows:
$\frac{1}{ \sqrt{1-cos^2(x)} } = \frac{1}{ \sqrt{sin^2(x)} } = \frac{1}{sin(x)}$

Next, we are going to use the trig identity: $csc(x)= \frac{1}{sin(x)}$ to completely simplify our expression:
$\frac{1}{sin(x)} =csc(x)$

We can conclude that $\frac{1}{ \sqrt{1-cos^2(x)} }=csc(x)$

3 0

3 years ago

There are two formulas that can be used to find the volume of a rectangular prism. Find the volume using both formulas.

Rina8888 [55]

Answer:

Volume = $\frac{1}{8}$ cubic units.

Step-by-step explanation:

The volume of a rectangular prism is given by,

$V = (\textrm {Length}) \times (\textrm {Width}) \times (\textrm {Height})$ .......... (1) and

$V = (\textrm {Base Area})\times (\textrm {Height})$ .......... (2)

Now, the length of the given prism is $\frac{1}{2}$ units, width is $\frac{1}{2}$ units and the height is $\frac{1}{2}$ units.

So. from equation (1) the volume, V = $(\frac{1}{2}) \times (\frac{1}{2}) \times (\frac{1}{2}) = \frac{1}{8}$ cubic units.

Now, base area = B = $(\frac{1}{2}) \times (\frac{1}{2}) = \frac{1}{4}$ sq. units.

So, from equation (2) we get

$V = (\frac{1}{4}) \times (\frac{1}{2}) = \frac{1}{8}$ cubic units. (Answer)

4 0

2 years ago

which number is equivalent to 3 to the 4th power over 3 to the 2nd power (its a fraction thats why i said over)

Westkost [7]

So you know that 3^4 is your numerator and that is (4)(4)(4)(4)=81
3^2 is your denominator and that is (3)(3)=9
81/9
=9

7 0

2 years ago

Help me out the meaning

WITCHER [35]

slope intercept form:

y = mx + b

m = slope

b = y-intercept

the y-intercept is the place on the y-axis (vertical) where the line crosses. In this problem, the line crosses at (0,4), meaning the y-intercept is 4.

y = mx + 4

the slope is technically the rate of change (rise over run) bewteen points.

If you take the distance from point (-1,3) and (0,4) you get a slope of 1/1, or just 1

y = 1x +4

this could also be:

y = x + 4

(because the 1 is invisible but still there)

5 0

3 years ago

Which of the following is correctly written in Standard Form? −3x + 7y = 12, y = 3/7x + 6 ,5x − 4y = 9 ,3/7x + 2y =9

melisa1 [442]

2nd one - y = 3/7x + 6 , hope this helps:)

3 0

2 years ago