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julia-pushkina [17]
3 years ago
10

Pierre had $42 before he paid his club dues. Evaluate the expression 42 − d for d = 25 to find how much money Pierre had left af

ter he spent $25 on dues
Mathematics
1 answer:
shepuryov [24]3 years ago
8 0

Answer:Pierre has $17 left

Step-by-step explanation:

Amount of money before dues = $42

according to the expression 42-d, d represents dues= $25

Amount left = Amount of money before dues - Amount of dues

                  = $42- $25

                  =$17

Pierre has $17 left after he spent $25 on dues.

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4. Find the missing values of the Special Right Triangles. Simplify answers. **no decimals **
patriot [66]

Answer:

1)m=9ft and n=10ft

2) p=10cm and r=18cm

3) s=4mi and t=8mi

Step-by-step explanation:

1)

Finding 3rd angle:

F= 180-(90+60)

 = 180-150

 =30

Now using law of sines to find sides m and n

m/sinD = 5/sinF

m= sin60(5/sin30)

  = 8.66

   = 9

n/sinE= 5/sin30

n= sin90(5/sin30)

  = 10

hence m=9ft and n=10ft

2)

Finding 3rd angle:

F= 180-(90+60)

 = 180-150

 =30

Now using law of sines to find sides p and r

p/sinF = 21/sinE

p= sin30(21/sin90)

  = 10.5

   = 10

r/sinD= 21/sin90

r= sin60(21/sin90)

  = 18.18

  =18

hence p=10cm and r=18cm

3)

Finding 3rd angle:

F= 180-(90+60)

 = 180-150

 =30

Now using law of sines to find sides s and t

s/sinF = 3√6/sinD

s= sin30(3√6/sin60)

  = 4.24

   = 4

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t= sin90(3√6/sin60)

  = 8.48

  = 8

hence s=4mi and t=8mi !

4 0
3 years ago
Liz and Sara are making cookies for a bake sale. The graph shows the number of cookies that Liz bakes during a 5-hour period.
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<u>Statements</u>

<u>case A)</u> Sara had baked more cookies at the start of the 5 hours than Liz

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we know that

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Find the number of cookies that Sara has baked for x=5 hours

y=45x+38

y=45*5+38=263

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therefore

Sara had baked more cookies at the start of the 5 hours than Liz

<u>case B) </u>Sara bakes 45 cookies each hour

The statement is True

we know that

The number of cookies baked each hour is equal to the slope of the linear equation

The linear equation is

y=45x+38

The slope is m=45\frac{cookies}{hour}

<u>case C)</u> Liz bakes 19 cookies each hour

The statement is false

Find the slope of the Liz graph

The slope is equal to

m=\frac{y2-y1}{x2-x1}

Let

A(0,19)\ B(4,179)

Substitute the values

m=\frac{179-19}{4-0}

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