Check the picture below
bear in mind, if your calculator is in Degree mode, you'd get an angle in degrees, if in Radian mode, then in radians
Answer:
10.8 =x
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
8.8 ^2 + 6.2 ^2 = x^2
77.44+38.44=x^2
115.88=x^2
Take the square root of each side
10.76475731=x
Round to 3 significant figures.
10.8 =x
The artist cut off 4 3/8 inches
Given the question: Arrange the reasons for the proof in the correct order.
Prove: If the diameter of a circle is 6 meters and the formula for
diameter is d = 2r, then the radius of the circle is 3 meters.
A. If r ≠ 3 m, then d ≠ 6 m. Since the contrapositive is true, the
original statement must also be true. Therefore, if the diameter of a
circle is 6 meters, then the radius is 3 meters.
B. Multiplication of real numbers shows that d = 2(2 m) = 4 m.
C. Substitute r = 2 m into d = 2r.
D. Assume that r ≠ 3 m. For example, the radius equals another length,
such as r = 2 m.
To prove that i<span>f the diameter of a circle is 6 meters and the formula for diameter is d = 2r, then the radius of the circle is 3 meters by contradiction, we assume that the radius in not equal to 3 meters, for </span>example, the radius equals another length,
such as r = 2 m.
Next, we substitute the value: r = 2m nto the original equation that says that d = 2r, i.e. d = 2(2m) = 4m which is not true and contradicts the original statement that the diameter of the circle is 6m.
Therefore, the arrangement of the proof is as follows:
D. Assume that r ≠ 3 m. For example, the radius equals another length,
such as r = 2 m.
C. Substitute r = 2 m into d = 2r.
B. Multiplication of real numbers shows that d = 2(2 m) = 4 m.
A. If r ≠ 3 m, then d ≠ 6 m. Since the contrapositive is true, the
original statement must also be true. Therefore, if the diameter of a
circle is 6 meters, then the radius is 3 meters.
D C B A.
The estimated sum of the given numbers close to the value of a single number is 3500.
<h3>What is the clustering estimation technique?</h3>
The cluster estimation technique is an approach that is applied to evaluate the aggregate sum and products when the numbers that are added or multiplied cluster close in value to a single number.
It implies that, for the given set of data, we will find the average first.
i.e.
= (709+645+798+704+658)/5
= 3514/5
= 702.8
Using the clustering technique, the estimated sum of numbers close to the value of a single number is:
= 700 × 5
= 3,500
Learn more about the clustering estimation technique here:
brainly.com/question/3428511
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