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kifflom [539]
3 years ago
15

When I checked my bank account this morning I had $4,300. This is a relief

Mathematics
1 answer:
svet-max [94.6K]3 years ago
4 0
2000/4300 multiplied by a 100
=46.5%
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A library expansion, begun in 2002, was expected to cost $103 million. By 2006, library officials estimate the cost would be $39
Rainbow [258]

initial estimate in 2002 = 103M

Actual cost in 2006 = 142M  (103M + 39M)

% over budget = 39/103 = 37.86%

6 0
4 years ago
Prove sin(x-y)/cosxsiny=tanxcoty-1
Leviafan [203]

Answer:

See below

Step-by-step explanation:

Here I attach you the detailed solution.

For this we will need to use the following trigonometric properties and formulas:

sin (x-y) = sin (x) cos (y) - cos (x) sin (y)

tan(x) = sin(x)/cos(x)

cot(x) = 1/tan(x) = [tan(x)] ^(-1) = cos (x)/sin(x)

This properties can be found in any mathematics book and is valid to apply them here, and are the only tools we use to solve the problem. Its worth to note that we have to assume that cos(x)sin(y) is different from 0 in order to use it as a denominator.

8 0
4 years ago
Triangle ABC is shown below.<br> What is the length of line segment AC?
Rzqust [24]

Answer:

The length of the line segment AC is equal to 14

Step-by-step explanation:

The triangle above is an isosceles triangle, In an Isosceles triangle the two angles; B and C are the same, hence the two sides; AB and AC are also the same.

AB=2x    and AC= 3x - 7

AB = AC

which implies;

2x = 3x - 7

subtract 3x from both-side of the equation

2x - 3x = 3x -3x -7

-x = -7

Multiply through by -1

x = 7

But we were ask to find the the length of the line segment AC

AC = 3x - 7

substituting x = 7 into the above equation will yield;

AC = 3(7) - 7 = 21 - 7 =14

Therefore the length of the line segment AC is equal to 14

3 0
4 years ago
- Monica goes for a 60 minute bike ride each day in the summer. Let a rep
Leno4ka [110]

Answer:

m = 60a

a = Independent Variable

m = Dependent Variable.

For a = 1 day, m = 60 minutes

For a = 2 days, m = 120 minutes

For a = 3 days, m = 180 minutes

For a = 4 days, m = 240 minutes

For a = 5 days, m = 300 minutes

For a = 6 days, m = 360 minutes

For a = 7 days, m = 420 minutes

Step-by-step explanation:

Monica goes for a 60-minute bike ride each day in the summer.

If a represents the number of days Monica rides her bike and m represents the total number of minutes she spends riding her bike, then a represents the independent variable and m represents the dependent variable.

The relation between a and m can be written as an equation, m = 60a.

Now, for a = 1 day, m = 60 minutes

For a = 2 days, m = 60 × 2 = 120 minutes

For a = 3 days, m = 60 × 3 = 180 minutes

For a = 4 days, m = 60 × 4 = 240 minutes

For a = 5 days, m = 60 × 5 = 300 minutes

For a = 6 days, m = 60 × 6 = 360 minutes

For a = 7 days, m = 60 × 7 = 420 minutes

Therefore, this is the table to show how many minutes Monica would ride her bike over the course of 1 week. (Answer)

3 0
3 years ago
B) (8x3 + 27) = (2x + 3)​
Leya [2.2K]

Answer:

x=-3/2

Step-by-step explanation:

this is under the assumption that 8x3 is an exponent

4 0
3 years ago
Read 2 more answers
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