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3 years ago

ASAP WILL MARK BRAINLIEST

Mathematics

1 answer:

Molodets [167]3 years ago

8 0

Answer:

ticket in Japan: 17.23 $

ticket in Switzerland: 13.26 $

Step-by-step explanation:

let the price of one movie ticket in Switzerland be Y

let the price of one movie ticket in Japan be X

then accordingly,

it is given that

3x + 2y = 78.21

and

2x +3y = 74.24

multiplying the first equation by 2 and second by 3 we get

6x + 4y = 156.42

6x + 9y = 222.72

subtracting 1st equation from second we get

5y = 66.3

y = 13.26

by putting in the value of y in equation 2 we get:

2x + 39.78 = 74.24

2x= 34.46

x= 17.23

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3 years ago

A triangular lot has sides of 215m, 185m, and 125m. Find the measures of the angles at its corners

Vlada [557]

Answer:

The measures of the angles at its corners are $59.1\°,35.4\°,85.5\°$

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of angle A

Applying the law of cosines

$185^{2}= 215^{2}+125^{2}-2(215)(125)cos(A)$

$2(215)(125)cos(A)= 215^{2}+125^{2}-185^{2}$

$cos(A)= [215^{2}+125^{2}-185^{2}]/(2(215)(125))$ $cos(A)=0.513953$

$A=arccos(0.513953)=59.1\°$

step 2

Find the measure of angle B

Applying the law of cosines

$125^{2}= 215^{2}+185^{2}-2(215)(185)cos(B)$

$2(215)(185)cos(B)= 215^{2}+185^{2}-125^{2}$

$cos(B)= [215^{2}+185^{2}-125^{2}]/(2(215)(185))$ $cos(B)=0.81489$

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step 3

Find the measure of angle C

Applying the law of cosines

$215^{2}= 125^{2}+185^{2}-2(125)(185)cos(C)$

$2(125)(185)cos(C)= 125^{2}+185^{2}-215^{2}$

$cos(C)= [125^{2}+185^{2}-215^{2}]/(2(125)(185))$ $cos(C)=0.0784$

$C=arccos(0.0784)=85.5\°$

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