Dilation involves changing the size of a shape
<h3>How to determine the relationship between the trigonometry ratios</h3>
From the question, we understand that:
The dilation of triangle XYZ gives triangle ACB
This means that, the following are corresponding points
- Points X and A
- Points Y and C
- Points Z and B
The above means that:
The relationships between the trigonometry ratios of both triangles are:
cos(X) = cos(A), cos(Y) = cos(C) and cos(Z) = cos(B)
<h3>How to determine the measures of segments AC and AB</h3>
In (a), segments XY and XZ corresponds to the segments AC and AB
So, the product of the lengths of XY and XZ and the scale factor will result in the lengths of AC and AB,
i.e.
AC = 2 * XY and AB = 2 * XZ
Read more about dilation at:
brainly.com/question/26332230
Answer:
Step-by-step explanation:
The formula relating distance (d), speed (s), and time (t) is
d = st
1. Calculate the distance
d = 269 s × 4.6 m·s⁻¹ = 1240 m
2.Calculate the track radius
The distance travelled is the circumference of a circle
Numbers 1 and 2 are correct.
Question 3:
We can see in each figure, the number of rows matches the figure amount. For example, figure 1 has 1 row, figure 2 has 2 rows, figure 3 has 3 rows, etc. Another thing we can see is that one block gets added to each column in every figure. If we count starting from 3 and keep adding 1 for each column, we get 22 blocks for one column. In figure 20, there will be 20 rows and 22 columns. We also have to keep in mind that they add 2 extra blocks at the top and bottom that stick out like the ones shown. In total, figure 20 will consist of 442 blocks.
Question 4:
[(2 + f) * (f)] + 2 = b
(2 + f) represents the number of blocks in each column.
(f) represents the number of blocks in each row.
2 represents the two extra blocks in each figure.
Note that f in this equation equals the number of the figure. For example, figure 3 is f = 3
We can test our equation with figure three.
[(2 + f) * (f)] + 2 = b
We have figure three so f = 3. Substitute and solve.
[(2 + 3) * (3)] + 2 = b
[5 * 3] + 2 = b
15 + 2 = b
17 = b
In the example, the number of blocks is 17. Therefore, this equation works for any figure.
Best of Luck!
Answer:
a)D= 0.625 Decimal that describes the portion of the workday he has finished
b)P= D*100= 0.625*100=62.5%
P: percentaje
D: Decimal
Step-by-step explanation:
Nomenclature
F: fraction of daily workday
D: decimal of daily workday
P: percentage of daily workday
Formulas
F= a/b
D= a÷b
P= D*100
Problem development
We have:
F = 5/8, then:
D= 5÷8= 0.625
To obtain the percentage of the workday that Matew has completed, we multiply the decimal x 100
P= 0.625*100=62.5%
