Answer: 3 1/2
Step-by-step explanation: First you have to convert the fractions so that they all have the same denominator. Using 12 will be the easiest. 1 and 1/3 equals 16/12 because 1/3 equals 4/12 and 1 equals 12/12. 3/4 equals 9/12. 2/3 equals 8/12. And 3/4 equals 9/12 again. 16/12 plus 9/12 plus 8/12 plus 9/12 equals 42/12. 42/12 in the simplest form would be 3 and 1/2, because 42 divided by 12 is 3.5.
We know that
<span>the rotation of a solid does not modify the values of the internal angles of the solid
</span>therefore
interior angle after 90° rotation=interior angle before 90° rotation
interior angle after 90° rotation=108°
the answer is the option D 108 °
The formula which used to describe the sequence is f(x)=1.2(2.5)ˣ⁻¹.
The given sequence is 1.2,3,7.5,18.75.
In geometric series, the ratio of two consecutive terms remains the same and this ratio is known as common ratio. a₁ is the first term of a geometric sequence and r is the common ratio, then the general term of the geometric sequence is of the form:
f(x)=a₁⋅rˣ⁻¹.
In the given sequence, a₁=1.2, a₂=3, a₃=7.5 and a₄=18.75.
Find the common ratio by
r=(aₙ₊₁)÷aₙ
r=a₂÷a₁
r=3÷1.2
r=2.5
Substitute the values in the general formula of geometric sequence.
f(x)=(1.2)(2.5)ˣ⁻¹
Hence, the formula which used to describe the sequence 1.2,3,7.5,18.75 is f(x)=(1.2)(2.5)ˣ⁻¹.
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Answer:
C) The discriminant is 0.
Step-by-step explanation:
Since the graph of the quadratic equation has only one x-intercept, we can conclude that the quadratic has only one real root.
If a quadratic equation has only one real root, then the discriminant is 0
