The square root of 7 lies between what two numbers
2 answers:
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Answer:
10 map squares.
Step-by-step explanation:
We have been given a histogram, which represents the plant species spotted in the animal reserve.
The x-axis represents the number of plant species and y axis represents the number of map squares.
We can see that 0 to 9 species are spotted in 1 map square.
10 to 19 and 20 to 29 plant species are spotted in 2 map squares.
To find the number of map squares that spot more than 29 plant species, we will count number of map squares that spot 30 to 49 plant species as 30 to 49 numbers are more than 29.
We can see from our histogram that 4 map squares spot 30 to 39 plant species and 6 map squares spot 40 to 49 plant species.
Therefore, 10 map squares spot more than 29 plant species.
Based on the above, the Triangle XYZ and ACB are known to be similar triangles since tanX = tanA = 5 over 2 and 5 tenths;
Hence:
- AC = 2 x XY
- CB = 2 x YZ
From the question given; Triangle XYZ is known to have been dilated by a scale factor of 2 to form a type of triangle known as triangle ACB, So therefore, XYZ and ACB are known to be the same or similar triangles.
Since Angles Y and C are known to both measure 90 degrees, and angles A and X are said to be congruent. Therefore:
tanX = tanA = 5 over 2 and 5 tenths
AC = 2 x XY
CB = 2 x YZ
For part B:
cosX=Base/Hypotenuse
cos A=AC/AB
AC = 2.05
AB = 5.59
Therefore, Based on the above, the Triangle XYZ and ACB are known to be similar triangles since tanX = tanA = 5 over 2 and 5 tenths;
Hence:
- AC = 2 x XY
- CB = 2 x YZ
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