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trasher [3.6K]
3 years ago
14

12. One dekameter is equal to 1,000

Mathematics
1 answer:
ra1l [238]3 years ago
7 0

Answer:

the number of centimeters is 1,750

Step-by-step explanation:

The computation of the number of centimeters is shown below;

Given that

1 dekameter = 1000 centimeter

And, there are 1.75 dekameters

So, the number of centimeter is

= 1000 × 1.75

= 1,750 centimeter long

Hence, the number of centimeters is 1,750

Therefore the same would be considered and relevant too

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Suppose T is a transformation from ℝ2 to ℝ2. Find the matrix A that induces T if T is reflection over the line y=1/2x
trapecia [35]

Answer:

A = \left[\begin{array}{cc}1&\frac{4}{5}\\\frac{4}{3}&-\frac{3}{5}\end{array}\right]

Step-by-step explanation:

We have to see how the canonical vectors are transformed throught T. Lets first define T in any basis.

Since T is a reflection, then any element of the line y = x/2 if fixed by T. Therefore T(2,1) = (2,1).

On the other hand, any vector perpendicular to the line direction should be sent to its opposite value. We can take, for example, (-1,2) (note that the scalar product (2,1) * (-1,2) = -2+2 = 0). As a consecuence T(-1,2) = (1,-2). We have

  • T(2,1) = (2,1)
  • T(-1,2) = (1,-2)

By summing the first vector with the double of the second one we get, using linearity

T(0,5) = T( (2,1) + 2(-1,2)) = T(2,1) + 2T(-1,2) = (2,1) + 2(1,-2) = (4,-3)

Hence, T(0,1) = (4/5,-3/5)

Now, we take the second vector and substract it the double of the first one (to kill the second variable)

T(-3,0) = T( (-1,2) - 2*(2,1) ) = T(-1,2) -2T(2,1) = (1,-2)-2(2,1) = (-3,-4)

Therefore, T(1,0) = (1,4/3)

The matrix A induced by  T has in its first column T(1,0) and in its second column T(0,1). We conclude that

A = \left[\begin{array}{cc}1&\frac{4}{5}\\\frac{4}{3}&-\frac{3}{5}\end{array}\right]

3 0
3 years ago
A fruit bowl contains 3 apples, 4 pears, and 4 oranges. Kayla selects 2 fruits at random without replacement. What is the probab
love history [14]
Pick 1: 3 apples out of 11 pieces of fruit → 3/11
Pick 2: 4 oranges out of 10 pieces of fruit → 4/10 = 2/5

Pick 1 AND Pick 2
  3/11    x      2/5      =  6/55
3 0
3 years ago
At the market, 2.4 pounds of peas cost 1.68 dollars. How much does one pound of peas cost?
babunello [35]
.7

because you need to get the original unit price which is 0.7 then multiply that by 1 and get your answer
6 0
3 years ago
TWO points A and B on a plan represent two localities 12 m apart. Given that the segment AB is 6 cm long, find the scale used to
dezoksy [38]

Answer:

The scale used to draw the plan is 1: 200.

Step-by-step explanation:

Given that two points A and B on a plan represent two localities 12 m apart, to determine, given that the segment AB is 6 cm long, the scale used to draw the plan, the following calculation must be performed:

12 m = 12 cm x 100 = 1200 cm

1200/6 = 200

Therefore, the scale used to draw the plan is 1: 200.

5 0
2 years ago
Which equation is satisfied by all three of the plotted points?
Elan Coil [88]

Answer:

Use desmos graphing calculator plug in your equations and see which one has all points.You can use desmos for a bunch of stuff too

Step-by-step explanation:its C though

.

8 0
3 years ago
Read 2 more answers
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