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3 years ago

Keith has $15 more than jay. if keith has $87, how much money does jay have?

Mathematics

2 answers:

Vsevolod [243]3 years ago

6 0

Answer:

Jay has $72

Step-by-step explanation:

$87-$15=$72

kari74 [83]3 years ago

5 0

Answer: Jay has $72.

Step-by-step explanation: It's basically a subtraction problem. You are subtracting 87-15 and getting 72.

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Determine the number of possible solutions for a triangle with B=37 degrees, a=32, b=27

vladimir1956 [14]

Answer:

Two possible solutions

Step-by-step explanation:

we know that

Applying the law of sines

$\frac{a}{sin(A)}=\frac{b}{Sin(B)}=\frac{c}{Sin(C)}$

we have

$a=32\ units$

$b=27\ units$

$B=37\°$

step 1

Find the measure of angle A

$\frac{a}{sin(A)}=\frac{b}{Sin(B)}$

substitute the values

$\frac{32}{sin(A)}=\frac{27}{Sin(37\°)}$

$sin(A)=(32)Sin(37\°)/27=0.71326$

$A=arcsin(0.71326)=45.5\°$

The measure of angle A could have two measures

the first measure-------> $A=45.5\°$

the second measure -----> $A=180\°-45.5\°=134.5\°$

step 2

Find the first measure of angle C

Remember that the sum of the internal angles of a triangle must be equal to $180\°$

$A+B+C=180\°$

substitute the values

$A=45.5\°$

$B=37\°$

$45.5\°+37\°+C=180\°$

$C=180\°-(45.5\°+37\°)=97.5\°$

step 3

Find the first length of side c

$\frac{a}{sin(A)}=\frac{c}{Sin(C)}$

substitute the values

$\frac{32}{sin(37\°)}=\frac{c}{Sin(97.5\°)}$

$c=Sin(97.5\°)\frac{32}{sin(37\°)}=52.7\ units$

therefore

the measures for the first solution of the triangle are

$A=45.5\°$ , $a=32\ units$

$B=37\°$ , $b=27\ units$

$C=97.5\°$ , $b=52.7\ units$

step 4

Find the second measure of angle C with the second measure of angle A

Remember that the sum of the internal angles of a triangle must be equal to $180\°$

$A+B+C=180\°$

substitute the values

$A=134.5\°$

$B=37\°$

$134.5\°+37\°+C=180\°$

$C=180\°-(134.5\°+37\°)=8.5\°$

step 5

Find the second length of side c

$\frac{a}{sin(A)}=\frac{c}{Sin(C)}$

substitute the values

$\frac{32}{sin(37\°)}=\frac{c}{Sin(8.5\°)}$

$c=Sin(8.5\°)\frac{32}{sin(37\°)}=7.9\ units$

therefore

the measures for the second solution of the triangle are

$A=45.5\°$ , $a=32\ units$

$B=37\°$ , $b=27\ units$

$C=8.5\°$ , $b=7.9\ units$

6 0

3 years ago

Out of these lines which are parallel?Lines: j- y= 2/3x+1/2, k- y=1/2x+2/3, l- y=2/3x+3/2, m-y=3/2x+1/2

Crazy boy [7]

Answer: J and L are parallel

Step-by-step explanation:

They are parallel because they have the same slope as each other

4 0

3 years ago

A shirt purchased for $20. The store owner will sell it for a 40% mark up. What will the new price be?

Kazeer [188]

40%=0.4

0.4(20)
8(markup)

Shirt price=$20+ $8

New price=$28

3 0

3 years ago

Read 2 more answers

Four brothers each bought two hotdogs and a bag of chips at the concession stand.if the bag of chips was $1.25,and the total was

ahrayia [7]

Answer:

$1.65

Step-by-step explanation:

The total purchase can be described by ...

4(2h +1.25) = 18.20 . . . . where h is the price of a hot dog

8h = 13.20 . . . . . . . . . . . subtract 5.00

h = 1.65 . . . . . divide by 8

The price of a hot dog was $1.65.

5 0

3 years ago

What is the asnwer to -2x-3(6x-11)=-7

expeople1 [14]

Pretty sure the answer is 2

5 0

3 years ago