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LenaWriter [7]
3 years ago
8

What is 4 times as much as 20.075? show work

Mathematics
1 answer:
choli [55]3 years ago
5 0

Answer:

80.3

Step-by-step explanation:

20.075 x 4 = 80.3

Hope that helps!

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Find the obtuse angle between the following pair of straight lines.
ioda

Given:

y=-2

y=\sqrt{3}x-1

To find:

The obtuse angle between the given pair of straight lines.

Solution:

The slope intercept form of a line is

y=mx+b     ...(i)

where, m is slope and b is y-intercept.

The given equations are

y=0x-2

y=\sqrt{3}x-1

On comparing these equations with (i), we get

m_1=0

m_2=\sqrt{3}

Angle between two lines whose slopes are m_1\text{ and }m_2 is

\tan \theta=\left|\dfrac{m_2-m_1}{1+m_1m_2}\right|

Putting m_1=0 and m_2=\sqrt{3}, we get

\tan \theta=\left|\dfrac{\sqrt{3}-0}{1+(0)(\sqrt{3})}\right|

\tan \theta=\left|\dfrac{\sqrt{3}}{1+0}\right|

\tan \theta=\pm \sqrt{3}

Now,

\tan \theta= \sqrt{3} and \tan \theta=-\sqrt{3}

\tan \theta= \tan 60^\circ and \tan \theta=\tan (180^\circ-60^\circ)

\theta= 60^\circ and \theta=120^\circ

120>90, so it is an obtuse angle and 60, so it is an acute angle.

Therefore, the obtuse angle between the given pair of straight lines is 120°.

6 0
3 years ago
Write the ratio of baby girls to baby boys with a hospital full of 1,000 babies, 430<br> being boys.
makvit [3.9K]

Answer:

57:43

Step-by-step explanation:

1000 babies  - 430 baby boys = 570 baby girls

570 girls to 430 boys

570:430

simplify

57:43

6 0
3 years ago
Read 2 more answers
Solve R = 1+30 for w<br> Please help I have a test tomorrow and this is a study guide
skelet666 [1.2K]

Answer:

8 cause ur adding 3 and 1 to get 4 then multiplying by 2 and u get 8. Hope this helps bye!

5 0
4 years ago
how do you say if a number is greater than 0 it equals one but if it's less than 0 it the actual number
Serjik [45]

Answer:

If n > 0, then n= 1

If n < 0, then n=n

If you could word this a bit differently, I might be able to help more, but this is what I'm getting from it. The way you worded it is a bit confusing.

7 0
2 years ago
Can you help me solve this problem please and thank you ?
d1i1m1o1n [39]

Answer:

70%

Step-by-step explanation:

35:50*100 =

( 35*100):50 =

3500:50 = 70

Hope it helps!

3 0
4 years ago
Read 2 more answers
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