The moon forms a right triangle with the Earth and the Sun during one of its phases, as shown below: A right angle triangle is shown with the Earth at the right angle. The acute angle between the line joining the Earth and the S The moon is, on average 238,900 miles from the Earth and the Sun is roughly 93,000,000 miles from the Earth. What is the measure of angle x? Round to the nearest hundredth. Note. This is a very small angle.

0.15

Step-by-step explanation:

Using trigonometry :

Tanθ = opposite / Adjacent

Opposite = distance between earth and sun = 238,900

Adjacent = distance between earth and moon = 93,000,000

Tanx = 238900 / 93000000

Tanx = 0.0025688

x = tan^-1 (0.0025688)

= 0.1471820°

answer:

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

explanation:

service only with 20% tip  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

in the opening of the question the word 'service' is associated only with the pretax value.

the closing part of the question asks: how much did she pay for the  

service

−−−−−−  

so technically the answer is  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

however, the intention of the question provider may have been that your answer is to be  

$

87.12

(

1

+

8

100

)

=

$

94.09

to 2 decimal places.

'

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

tony b

mar 21, 2017

answer:

trying to explain it another way

explanation:

service charge  

.

→

$

72.60

20% tip  

20

100

×

$

72.60

=

$

14.52

−−−−−−  

←

add

$

87.12

tax  

8

100

×

$

87.12

=

$

6.97

−−−−−  

←

add

$

94.09

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step-by-step explanation: