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3 years ago

Toby buys a new MP3 player for a price of $45.50. what is the total amount his credit card is charged if the sales tax is 7%

Mathematics

2 answers:

DENIUS [597]3 years ago

6 0

/the amount would be $48.69

netineya [11]3 years ago

6 0

$45.50 x 1.07 = total
the subtotal is 45.50 x 1.00, the tax is 0.07x45.50. Add these two together and you get the total. You can simplify this from two calculations and an addition to one calculation by adding the 1.00 and the 0.07. think 2x + 1x = y, you can add your x's to get 3x = y.

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3 years ago

Which is greater 1.56 or 1.29

ruslelena [56]

Answer:

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3 years ago

Read 2 more answers

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

2* 7-t 8*y 9=9 Which is the equation?

GaryK [48]

Answer:

2+7_t×y+9 je pense que c la reponses

6 0

3 years ago

The point K lies on the segment JL.

vlabodo [156]

Answer:

( -9, 5)

Step-by-step explanation:

We can observe that x coordinate increases on line segment JL from J and y coordinate decreases.

The difference in x:

-18 - 3 = -21

The difference in y:

17 - (-11) = 28

Point K is at 3/7 distance from J, so it's coordinates will be:

-18 -(-21*3/7) = -18 + 9 = -9

17 - (28*3/7) = 12- 7 = 5

So K = ( -9, 5)

6 0

4 years ago