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s2008m [1.1K]
2 years ago
5

WHAT IS 5/8 PAGE IN 2/3 OF A MINUTE

Mathematics
1 answer:
Naily [24]2 years ago
4 0
3.5 divided 1.25 = 2.8 mph 
<span>0.625 divided 0.666 = 0.95 pages a minute. so your answer is 0.95 pages per minute

</span>
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Directions: Complete all 3 questions. Make sure you include a graph, work and conclusion.
Simora [160]

Prove that the quadrilateral whose vertices are I(-2,3), J(2,6), K(7,6), and L(3, 3) is a rhombus.

I think in these problems the first step is to express each side as a vector.  A vector is the difference between points.  When two sides have the same vector (or negatives) it means they're parallel and congruent.  So in a rhombus IJKL the vectors IJ and LK should be the same, as should JK and IL.  That much assures a parallelogram; we check IJ and JK are congruent to complete the crowing of the rhombus.

Let's calculate these vectors:

IJ = J - I = (2,6) - (-2,3) = (2 - -2, 6 - 3) = (4, 3)

LK = K - L = (7, 6) - (3, 3) = (4, 3)

IJ = LK, so far so good

(Note: If you haven't got to vectors yet you can just show the two sides are the same length, 5, and have the same slope, 3/4, both of which can be read off the vectors.)

JK = K - J = (7,6) - (2,6) = (5,0)

IL = L - I = (3, 3) - (-2, 3)  = (5, 0)

Those are the same too.    

Now we have to show IJ ≅ JK

The length of IJ is the cliche √4²+3² = 5, the same as JK, so IJ ≅ JK

We showed all four sides are congruent and we have two pair of parallel sides, so we have a rhombus.

8 0
3 years ago
-. A businessman plans to retire in 30 years. As part of his retirement plan, he has
stepladder [879]

Answer:

A = $45948

Step-by-step explanation:

Given the following data;

Principal = $8000

Interest rate = 6% = 6/100 = 0.06

Time = 30 years

To find the future value, we would use the compound interest formula;

A = P(1 + \frac{r}{100})^{t}

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

t is the number of years for the compound interest.

Substituting into the equation, we have;

A = 8000(1 + \frac{6}{100})^{30}

A = 8000(1 + 0.06)^{30}

A = 8000(1.06)^{30}

A = 8000(5.7435)

A = $45948

7 0
2 years ago
If i can get 2 Amy's organic soup for $4 how much would it be for 1 Amy's organic soup?
Rudiy27

Answer: $2

Step-by-step explanation:

just do 4 divided by 2 and your answer is 2

4 0
3 years ago
Read 2 more answers
Heres 20p for whoever solves this
Leokris [45]

Answer:

i dont remember how to answer this so heres some info from the graph.

the y-intercept of the first equation is 8.

the y-intercept of the second equation is 18.

the equations cross at (10,4)

6 0
3 years ago
What is the equation of the line that is perpendicular to 9x+3y=36 and passes through the point (6,2)?
Fofino [41]
9x+3y=36

3y=-9x+36

y=-3x+36

For lines to be perpendicular their slopes must be negative reciprocals of each other...mathematically:

m1*m2=-1 and in this case for a line to be perpendicular to y=-3x+36 that line must have a slope of:

-3m=-1, m=1/3 so

y=x/3+b, and using point (6,2) we can solve for b, the y-intercept...

2=6/3+b

2=3+b

b=-1 so the perpendicular line passing through the point (6,2) is:

y=x/3-1 or more neatly...

y=(x-3)/3
7 0
3 years ago
Read 2 more answers
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