Answer: The sequence does not have common ratio.
Step-by-step explanation:
By definition, a sequence with a constant ratio (common ratio) between terms is called a "Geometric sequence". In order to find the common ratio, it is necessary to divide any term in the sequence by the previous term.
In this case, given the sequence:
We get:
Since the ratios between the terms are not constant, we can conclude that <em>the sequence does not have common ratio.</em>
Break the problem into two parts: 1) the area of the this isosceles triangle whose hypotenuse is AB and 2) the area of the semicircle whose diameter is AB.
The triangle is isosceles because the lengths of the two shorter legs are the same (2 meters). Use the Pythagorean Theorem to find the length of the hypotenuse of this triangle. (AB)^2 = (2 m)^2 + (2 m)^2, or 8 m^2. Thus, AB = sqrt(8 m^2), or 2sqrt(2). This AB is also the base of the triangle. What is the area of the triangle?
Next, noting that the diameter AB of the semicircle is 2sqrt(2) and the radius is just sqrt(2), find the area of the semicircle. The area of a circle of radius r
is pi*r^2; here it's pi*(sqrt 2)^2, or pi*2, or 2pi.
Add the area of the triangle to this area of the semicircle (2pi) to find the total area of the figure.
Hint: the area of a triangle is (bh)/2, where h is the height, b is the base.
Answer:
It is 7 2/11 is less then 7 4/10
Step-by-step explanation:
You do not have to worry about the whole number because they are the same. You have to compare the fractions, so if comparing fractions 10 is less then 11 so 1/10 has a larger space then 1/11. That is how i got the answer. Hope this helps. Am I right?
Answer:
8y²
Step-by-step explanation:
8y³ = 8y² (y)
64y² = 8y² (8)
Using the triangle sum theorem and the alternate interior angles theorem, the measure of ∠TUV is: 78°
<h3>What is the Triangle Sum Theorem?</h3>
In any triangle, all three angles have a sum of 180 degrees, based on the triangle sum theorem.
<h3>What is the Alternate Interior Angles Theorem?</h3>
The alternate interior angles theorem states that if two interior angles lie alternate to each other, both angles have the same measure.
Given the following:
Find m∠RSV using the triangle sum theorem:
m∠RSV = 180 - (m∠SRV + m∠SVR)
m∠RSV = 180 - (48 + 54)
m∠RSV = 78°
∠RSV and ∠TUV are alternate interior angles, therefore:
m∠RSV = m∠TUV = 78° [alternate interior angles theorem]
Learn more about the triangle sum theorem on:
brainly.com/question/7696843
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