Step-by-step explanation:
Alternate interior angles :- 1 , 4
corresponding angles :- 3
same side interior angles :- 2 , 5 , 6
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Answer:
4. height: 5√3 cm; area: 25√3 cm²
5. 30√2 ft ≈ 42.43 ft
Step-by-step explanation:
4. The height of an equilateral triangle is (√3)/2 times the side length, so is ...
height = (√3)/2 × (10 cm) = 5√3 cm
The area is given by the formula ...
A = 1/2bh
A = 1/2(10 cm)(5√3 cm) = 25√3 cm²
__
5. The diagonal of a square is √2 times the side length, so the distance from 3rd to 1st base is ...
(30 ft)√2 ≈ 42.43 ft
__
The length of the diagonal of a square is something you should be familiar with. If you're not, you can figure the distance using the Pythagorean theorem.
d = √(30² +30²) = √1800 ≈ 42.43 . . . feet
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8c - 3c + 3 = 13
Begin by combining like terms:
5c + 3 = 13
Subtract 3 from both sides:
5c + 3 - 3 = 13 - 3
5c = 10
Divide both sides by 5:
5c/5 = 10/5
c = 2.
Answer:
First Answer: A = $ 4,247.03
A = P + I where
P (principal) = $ 4,000.00
I (interest) = $ 247.03
Second Answer : A = $ 6,325.22
A = P + I where
P (principal) = $ 5,500.00
I (interest) = $ 825.22
Third Answer: A = $ 7,735.55
A = P + I where
P (principal) = $ 7,000.00
I (interest) = $ 735.5
Fourth Answer: A = $ 7,735.55
A = P + I where
P (principal) = $ 7,000.00
I (interest) = $ 735.55
Step-by-step explanation:
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[ Answer ]

[ Explanation ]
Rewrite 0.12 As A Fraction
-----------------------------
Rewrite Decimal As A Fraction With 1 As A Denominator
0.12 = 
Multiply To Remove Decimal Places
·
= 
Find GCF, Reduce Fraction
= 
0.12 = 
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