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3 years ago

Write 4.257x10^-7 in standard form.

Mathematics

2 answers:

kumpel [21]3 years ago

6 0

The answer would be C.

il63 [147K]3 years ago

6 0

Hello!

As we are multiplying by 10^-7, we will move the decimal to the right 7 times. This means we will have 6 0's before our number after the decimal.

0.0000004257

It appears that you switched around the 4 and the 2, but we know what you were referring too.

Therefore, our answer is D.

I hope this helps!

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If the volume of the pyramid is 72 what is its height?

Kobotan [32]

You can't know with only volume. Sorry.

5 0

3 years ago

Read 2 more answers

A movie theater has a 24-foot-high screen located 6 feet above your eye level. If you sit x feet back from the screen, your vi

pantera1 [17]

Answer:

The viewing angles are as follows:

For x=5 feet, θ = 0.529 radians

For x=10 feet, θ = 0.708 radians

For x=15 feet, θ = 0.726 radians

For x=20 feet, θ = 0.691 radians

For x=25 feet, θ = 0.640 radians

Step-by-step explanation:

The viewing angle is given as:

θ = tan⁻¹(30/x) - tan⁻¹ (6/x)

where x is the distance between you and the screen.

The question is asking us to find the viewing angle θ at various distances. The distance value needs to be substituted in the above equation in place of x. So,

For x=5 feet:

θ = tan⁻¹(30/5) - tan⁻¹ (6/5)

= 1.4056 - 0.8761

θ = 0.529 radians

For x = 10 feet:

θ = tan⁻¹(30/10) - tan⁻¹ (6/10)

= 1.249 - 0.540

θ = 0.708 radians

For x = 15 feet:

θ = tan⁻¹(30/15) - tan⁻¹ (6/15)

= 1.107 - 0.380

θ = 0.726 radians

For x = 20 feet:

θ = tan⁻¹(30/20) - tan⁻¹ (6/20)

= 0.983 - 0.291

θ = 0.691 radians

For x = 25 feet:

θ = tan⁻¹(30/25) - tan⁻¹ (6/25)

= 0.876 - 0.235

θ = 0.640 radians

5 0

2 years ago

I need help with this question, if anyone could help ASAP, that would be much appreciated. In the figure below, mROP = 125° Find

Tema [17]

Answer:The measure of the arc RPQ is 205°

Step-by-step explanation:

Given the figure in which

m∠ROP=125°

we have to find the measure of the arc RPQ.

As QP is diameter i.e a straight line therefore

∠1 and ∠2 forms a linear pair hence these angles are supplementary.

By supplementary law

∠1+∠2=180°

∠1+125°=180°

∠1=180°-125°=55°

Now we have to find the measure of the arc RPQ i.e

we have to find the measure of ∠2+∠3

By theorem, angles around a point will always add up to 360 degrees.

∴ ∠1+∠2+∠3=360°

55°+∠2+∠3=360°

∠2+∠3=860-55=205°

Hence, the measure of the arc RPQ is 205°

5 0

3 years ago

A school paíd $31.25 for each calculator.

JulijaS [17]

If the school spent 500 on calculators they would have bought 16 calculators!
Hope this helps!

3 0

2 years ago

Evaluate using exact values 1-cos45/1+cos45

Lisa [10]

Knowing that cos(45°) = 1/√2 is the way forward.

$\frac{1-\frac{1}{\sqrt{2}} }{1+\frac{1}{\sqrt{2}}} = \frac{\sqrt{2}-1}{\sqrt{2}+1} = 3 - 2\sqrt{2}$

The last step in the equation may not be obious, but the trick here is to multiple numerator and denominator with (1-√2), then the denominator has the special product (a+b)(a-b) = a²-b².

3 0

3 years ago