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Andre45 [30]
3 years ago
15

4. A map has a scale of 1 inch = 100 miles. The distance between two cities is 7.25 inches. If a car travels

Mathematics
1 answer:
motikmotik3 years ago
4 0

Answer:

14.5 hours/14 hours 30 minutes

Step-by-step explanation:

  • The distance between the two cities is 7.25•100=725 because you multiply the scale distance by the scale.
  • The number hours is 725/50=14.5 hours because you divide the distance by 50 (the miles per hour).
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adell [148]

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

5 0
2 years ago
A drawer contains 11 identical red socks and 8 identical black socks. Suppose that you choose 2 socks at random in the dark, wha
DedPeter [7]

Answer:

The probability of getting a pair of red socks is 0.322

Step-by-step explanation:

According to the given data we have that A drawer contains 11 identical red socks and 8 identical black socks, hence, the total number of socks is 19, therefore, in order to calculate the probability of getting a pair of red socks we would have to use the following formula:

probability of getting a pair of red socks=11C2/19C2

probability of getting a pair of red socks=55/171

probability of getting a pair of red socks=0.322

The probability of getting a pair of red socks is 0.322

4 0
3 years ago
Three times the square of a certain positive number exceeds six times the number by nine. find the number:
d1i1m1o1n [39]
With the number being x, we have 3x^2>6(x/9). Expanding, we get 3x^2>6x/9 and 3x^2>2x/3. Dividing by x, we get 3x>2/3 and dividing by 3 we get x>2/9
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3 years ago
If a kitten weighs 4 pounds what is the approximate mass of the kitten in kilograms
Tatiana [17]
It is around 1.81 kilograms
5 0
3 years ago
Jenny can hike 5 kilometers in 30 minutes. What is Jenny’s average hiking speed in kilometers per hour?
adell [148]

Answer:

10 kilometers per hour

Step-by-step explanation:

hope this helps

5 0
3 years ago
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