First, find the missing leg of ΔBCD (line BD). Using the Pythagorean Theorem, subtract (5^2)-(3^2) [25-9], and you get 16. Find the square root of 16, and you get <em>4</em> for line BD. Now, you can find AB. Add (7^2)+(4^2) [49+16], and you get 65. Now, since 65 isn't a perfect root, just use √(65)
Answer: Line AB equals √(65).
Answer:
63+48= 3(21+16)
Step-by-step explanation:
Check answer:
Distribute 3(21+16)
3(21)+3(16)
63+48
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
x
=
13
3
x
=
13
3
Decimal Form:
x
=
4.
¯
3
x
=
Mixed Number Form:
x
=
4
1
3
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Formula
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Area of circle = πr²
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Find radius
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πr² = 75
r² = 75 ÷ π
r² = 23.87
r = √23.87
r = 4.89 cm (nearest hundreds)
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Answer : radius = 4.89cm
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Answer:
$3.06
Step-by-step explanation:
First we need to calculate the mark up
The mark-up rate is 150% = 1.5 as a decimal
New price = original price + original price * markup rate
= 61.20 + 61.20* 1.50
= 61.20 + 91.80
= 153
The new price is 153.00
Commission is the price times his commission rate
commission = price* .02
= 153*.02
= 3.06
Neil will make 3.06 on the sale of the table