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Lilit [14]
3 years ago
12

A carpenter is making a shelf in the shape of a parallelogram. She begins by drawing parallelogram RSTU on a coordinate plane wi

th vertices R(1,0),S(-4,0), and T (-2,3). What are the coordinate of vertex U?
Mathematics
1 answer:
olchik [2.2K]3 years ago
3 0
The coordinates would be (3, 3).

The slope from R to S is given by

m = (0 - 0)/(-4-1) = 0/-5 = 0

The distance from R to S is 5 units straight across.

This means the slope from T to U will be 0, and it will be a horizontal segment.  This means the y-coordinate of U will be 3, since the y-coordinate of T is 3.

The distance from T to U will be 5 as well; -2+5 = 3 for the x-coordinate.

This makes the point (3, 3).
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The Royal Fruit Company produces two types of fruit drinks. The first type is 60% pure fruit juice, and the second type is 85% p
andrew11 [14]

Answer: There are 32 pints of first type and 128 pints of second type in mixture.

Step-by-step explanation:

Since we have given that

Percentage of pure fruit juice in first type = 60%

Percentage of pure fruit juice in second type = 85%

Percentage of pure fruit juice in mixture = 80%

We will use "Mixture and Allegation" to find the ratio of first and second type in mixture:

          First type          Second type

               60%                    85%

                              80%

------------------------------------------------------------------------

     85-80               :              80-60

       5%                  :                 20%

        1                     :                   4

so, the ratio of first and second type is 1:4.

Total number of pints of mixture = 160

Number of pints of mixture of  first type in mixture  is given by

\dfrac{1}{5}\times 160\\\\=32\ pints

Number of pints of mixture of second type in mixture is given by

\dfrac{4}{5}\times 160\\\\=4\times 32\\\\=128\ pints

Hence, there are 32 pints of first type and 128 pints of second type in mixture.

6 0
3 years ago
24. The cost to board a dog at a kennel varies
natita [175]

Answer:c=24n

Step-by-step explanation:

C~n

C=no

96=4k

Divide both sides by 4

96/4=4k/4

24=k

K=24

Our equation is c=24n

8 0
3 years ago
Cherries cost $5 for 2 pounds and $7.50 for 3 pounds. Question: a. What is the cost per pound? b. Is it constant? c. If you were
Fittoniya [83]
A. 1 pound of cherries costs 2.50

B. Yes it is constant

C. I believe that you would put cost on the y and lbs on the x
E. 5 lbs of cherries = 2.50 x 5 = $12.50

8 0
3 years ago
Help me with this please!!!!!!!!!!!!!!
natima [27]

Answer:

sin 60 = opp/hyp = f/(6√2)

f = 6✓2 × sin 60 = 6✓2 × (✓3/2)

= 3✓6

5 0
3 years ago
There are 9 1/5 gallons of water in Alan’s fish tank. If Alan adds 9 3/5 gallons more, how many gallons will there be in all?
cupoosta [38]
9 1/5 + 9 3/5 = 18 4/5 gallons
7 0
3 years ago
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