We know that the original width was 5, and that after the enlargement the width is 45. To calculate the scale factor we divide the final width between the original one, then:
Therefore the scale factor is 9.
What is (1/25)^x-2/5-10=115
1 answer:
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Answer: approximately 49 feets
Step-by-step explanation:
The diagram of the tree is shown in the attached photo. The tree fell with its tip forming an angle of 36 degrees with the ground. It forms a right angle triangle,ABC. Angle C is gotten by subtracting the sum of angle A and angle B from 180(sum of angles in a triangle is 180 degrees).
To determine the height of the tree, we will apply trigonometric ratio
Tan # = opposite/ adjacent
Where # = 36 degrees
Opposite = x feets
Adjacent = 25 feets
Tan 36 = x/25
x = 25tan36
x = 25 × 0.7265
x = 18.1625
Height of the tree from the ground to the point where it broke = x = 18.1625 meters.
The entire height of the tree would be the the length of the fallen side of the tree, y + 18.1625m
To get y, we will use Pythagoras theorem
y^2 = 25^2 + 18.1625^2
y^2 = 625 + 329.88
y^2 = 954.88
y = √954.88 = 30.9 meters
Height of the tree before falling was
18.1625+30.9 = 49.0625
The height of the tree was approximately 49 feets
<span>The multiplicity of a zero of a polynomial function is how many times a particular number is a zero for a given polynomial.
For example, in the polynomial function
, the zeros are 0 with a multiplicity of 1, -4 with a multiplicity of 2, and 2 with a multiplicity of 3.
Although this polynomial has only three zeros, we say that it has six zeros (or degree of 6) counting the <span>multiplicities.</span></span>
For example, in the polynomial function
Although this polynomial has only three zeros, we say that it has six zeros (or degree of 6) counting the <span>multiplicities.</span></span>
Answer:
<u>Given:</u>
- Diameter of rug = 6 feet
To find the area of the rug, we need to use the formula "πr² or π(D/2)²"
<u>Where:</u>
- r = radius
- d = diameter
Since we do not have the radius, we need to substitute the diameter in the formula "π(D/2)²" to determine the area of the rug.
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Substituting "22/7" as π:
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When finding the area of ANY shape, do not forget to include the units.
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