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Ber [7]
3 years ago
10

Find (x,y) such that (8,2)(x,y) = (28,22)

Mathematics
1 answer:
liberstina [14]3 years ago
7 0

Answer:

(x,y) = (3.5, 11)

Step-by-step explanation:

(8,2)(x,y) = (28,22)

Dot product, so:

(8,2)(x,y) = (8x,2y) = (28,22)

Then

8x = 28

x = \frac{28}{8} = 3.5

And

2y = 22

y = \frac{22}{2} = 11

So

(x,y) = (3.5, 11)

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Find the number of positive integral solutions of ABC=45.
irina [24]
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8 0
3 years ago
If you need 192 beads to make a necklace and bracelet and it takes 5 times more beads to make necklace than bracelet. How many b
Rasek [7]
192 = total beads

necklace + bracelet = 192

Let x equal the number of beads 

bracelet = 5x
necklace = x

5x + x = 192 

6x = 192

x = 32

It takes 32 beads to make a necklace

3 0
2 years ago
You are hiking in Marin, and stop to stand on the edge of a cliff overlooking the Pacific ocean. You see a sailboat down in the
Bas_tet [7]

Answer:

Step-by-step explanation:

on the edge of a cliff overlooking the Pacific ocean. You see a sailboat down in the water below you. The angle of depression to the sailboat is 28◦ . A quick tells you that the cliff you’re standing on is 150ft. How far away from the boat are you, in feet, rounded to one decimal place?(30pts)

We solve using the Trigonometric function of TANGENT

tan 28 = 150/x

6 0
2 years ago
Which set of measurements could represent the three sides of a triangle?
yawa3891 [41]

Answer:

The side lengths of a right triangle is 11cm, 60cm and 61cm, that could be selected from the given measurements.

Step-by-step explanation:

The measurements are,

                  7cm, 11cm, 54cm, 60cm, 61cm, 65cm

Step:1

                 To check the right angle triangle, Pythagorean theorem can be used.

                For a Pythagorean theorem,

                                     ..........................(1)

               The side values are lower than the hypotenuse,

                                                        ...................................(2)

               Where,

                         a,b - side values

                            c - Hypotenuse

               For right angle triangle,  c > a, b

               Alternative : 1

               Take, a = 7cm, b = 11cm

               From eqn (2),

                                                   =  = 13.04

              The above value is not equal to the any one of the values of ( 54cm. 60cm, 61cm, 65cm ), So its not an sides of right triangle.

               Alternative : 2

               Take, a = 7cm, b = 54cm

               From eqn (2),

                                                   =  = 54.45

              The above value is not equal to the any one of the values of (60cm, 61cm, 65cm ), So its not an sides of right triangle.

               Alternative : 3

               Take, a = 7cm, b = 60cm

               From eqn (2),

                                                   =  = 60.406

              The above value is not equal to the any one of the values of (61cm, 65cm ), So its not an sides of right triangle.

               Alternative : 4

               Take, a = 7cm, b = 61cm

               From eqn (2),

                                                   =  = 61.40

              The above value is not equal to the values of (65cm ), So its not an sides of right triangle.

                 Alternative : 5

               Take, a = 11cm, b = 54cm

               From eqn (2),

                                                   =  = 55.1089

              The above value is not equal to the any one of the values of (60cm, 61cm, 65cm ), So its not an sides of right triangle.      

                Alternative : 6

               Take, a = 11cm, b = 60cm

               From eqn (2),

                                                  =  = 61

              The above value is equal to the values of (61cm ), So its an sides of right triangle. The three sides are 11, 60 and 61.

Step:2

            Check for solution,

                                     

                                           

Result:

            The side lengths of a right triangle is 11cm, 60cm and 61cm, that could be selected from the given measurements.                

Step-by-step explanation: The side lengths of a right triangle is 11cm, 60cm and 61cm.

4 0
3 years ago
In the school store you can buy 20 calculators for $120 how much would 5 calculators be
Masja [62]

Answer:

30 dollars

Step-by-step explanation:

120/20=6

6x5=30

Hope this helped.

4 0
3 years ago
Read 2 more answers
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