Step-by-step explanation:
The following sequence is in AP
Suppose the first term is denoted by"a" and the common difference by"d"
a=3
d=4.5-3= 1.5
the nth term = a + (n-1)d
= 3+(n-1)1.5
=3+1.5n -1.5
=1.5+1.5n
The measure of each angle is 159° and 21°.
<h3>
What are supplementary angles?</h3>
- When two straight lines or rays intersect at a single endpoint, an angle is created.
- The vertex of an angle is the location where two points come together.
- The Latin word "angulus," which means "corner," is where the word "angle" originates.
- Two angles are considered to be supplementary if their sums total 180 degrees.
- For instance, angle 130° and angle 50° are complementary angles since the sum of these two angles is 180°.
So, supplementary angles = 180
Then,
- 2x + 138 = 180
- 2x = 180 - 138
- 2x = 42
- x = 21
- 21 + 138 = 159
Therefore, the measure of each angle is 159° and 21°.
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Answer:
10, 1, 0.1, 0.01
It is a geometric sequence
Step-by-step explanation:
A(n + 1) = A(n) ÷ 10 for n ≥ 1 and A(1) = 10
A(1+1) = A(2) = A(1) / 10 = 10 / 10 = 1
A(2+1) = A(3) = A(2) / 10 = 1 / 10 = 0.1
A(3+1) = A(4) = A(3) / 10 = 0.1 / 10 = 0.01
It corresponds to a geometric sequence, which is defined by its starting number a (10), the common factor r (0.1) and the number of terms S.
Answer:
56
Step-by-step explanation:
there are 56 boxes in yellow with each box = 1cm^2
The change in the volume of water in 1 minute is a decrease of 0.16 milliliters.
Since a water tank in Stewart's home had a small, steady leak loss of 1 3/5 mL in 10 min, to find the change in the volume of water in 1 minute, the following calculation must be performed:
- The total leak must be calculated and divided by the 10 minutes duration.
- 3/5 = 0.6
- 1 + 0.6 = 1.6
- 1.6 / 10 = 0.16
Therefore, the change in the volume of water in 1 minute is a decrease of 0.16 milliliters.
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