Answer:
x=88, so it is acute.
Step-by-step explanation:
The two known angles are 45 degrees and 47 degrees. We know that in a triangle, the three angles always add up to 180 degrees.
This means that the third angle is 180-(45+47), or 180-92, or 88. So, the third angle is 88 degrees.
Acute triangles are when all the angles are less than 90. Right is when one angle is exactly 90. Obtuse is when one is more than 90. 88, 45, and 47 are all less than 90, so it is an acute triangle.
The pattern is formed a geometric sequence
The nth term of the sequence is 
Step-by-step explanation:
The formula of the nth term of a geometric sequence is:
, where
- a is the first term
- r is the common ratio between the consecutive terms
∵ The pattern is 3 , 9 , 27 , 81 , 243
∵ 9 ÷ 3 = 3
∵ 27 ÷ 9 = 3
∵ 81 ÷ 27 = 3
∵ 243 ÷ 81 = 3
- There is a common ratio 3 between each two consecutive terms
∴ The pattern is formed a geometric sequence
∵ The first term is 3
∴ a = 3
∵ The common ratio is 3
∴ r = 3
- To find the nth term substitute a and r in the formula above
∵
∴
- Remember we add the powers of the same base with multiplication
∵ 3 ×
= 
∴ 3 ×
= 
∴ 
∴ The nth term of the sequence is
Learn more:
You can learn more about the sequences in brainly.com/question/1522572
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Answer:
±100
Step-by-step explanation:

When you square 100, you get four zeros.
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Answer:
8 1/8 units^3
Step-by-step explanation:
This figure is a rectangular prism, and the volume of a rectangular prism is given by the formula:
lwh
But since we have the area of the base snd the height of the figure, there is also one formula that we can use to find the volume:
bh
Which means area of base times the height.
USE THE FORMULA bh:
16 1/4 x 1/2
= 65/4 x 1/2
= 65/8
SIMPLIFIED: 8 1/8
Volume is measured in cubic units
SO YOUR ANSWER IS 8 1/8 units^3
The 3 values would be 9 , 10 and 11.
because:
48<6(9)
48<54
48<6(10)
48<60
48<6(11)
48<66