Answer:
46th term of the sequence is 364
Step-by-step explanation:
first term = 4
common difference = 12 - 4 = 8
46th term = first term+(46 - 1)×common difference
so,
- 46th term = 4 + ( 45 ) × 8
- 46th term = 4 + 360
- 46th term = 364
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The length of one of the legs of an isosceles right triangle and has a hypotenuse length of seven times the square root of two is 7 units.
<h3>What is an Isosceles triangle?</h3>
Isosceles triangles are triangles that has two of it sides equal to each other. The base angles of an isosceles triangle are equal.
The isosceles triangle is also a right angle triangle. The hypotenuse is the longest side of a right angle triangle.
Therefore,
hypotenuse = 7(√2)
let the length of the other legs = x
Therefore, using Pythagoras theorem
c² = a² + b²
(7(√2))² = x² + x²
49 × 2 = 2x²
98 = 2x²
x² = 98 / 2
x = √49
x = 7 units
learn more on isosceles triangle here: brainly.com/question/10412877
Answer:
In other words, $100 in 1987 is equivalent in purchasing power to about $227.09 in 2020, a difference of $127.09 over 33 years. The 1987 inflation rate was 3.65%. The current inflation rate (2019 to 2020) is now 2.49%
<h3>
Answer: D) 95</h3>
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Explanation:
First, let's calculate angle BYC. This is the angle formed by the chords that subtend the arcs mentioned. This angle faces or is aimed toward the direction of the arcs. To find this angle, we'll average the arc measures like so:
angle BYC = (arcAD + arcBC)/2
angle BYC = (50+120)/2
angle BYC = 170/2
angle BYC = 85 degrees
Then we'll use the idea that angles BYC and DYC are supplementary (aka they form a straight 180 degree angle)
angleBYC + angleDYC = 180
angleDYC = 180 - angleBYC
angleDYC = 180 - 85
angleDYC = 95 degrees
which is why the answer is choice D.
Answer:
75 square centimeters
Step-by-step explanation:
Multiply by 10,000
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