Answer:
7
Step-by-step explanation:
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9514 1404 393
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
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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
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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
Answer:the orginal price of the tennis racket is $47
Step-by-step explanation:
Let x represent the original price of the tennis racket at the sports store.
Leah has a 20% off coupon for the sports store. The tennis racket is available at a discount of 10%.
The store applies the coupon after the 10% is taken. The value of the discount on the original price of the tennis racket would be
10/100 × x = 0.1 × x = $0.1x
The discounted price of the racket would be
x - 0.1x = 0.9x
The value of the coupon would be
20/100 × 0.9x = 0.2 × 0.9x = 0.18x
The selling price after the coupon was applied would be
0.9x - 0.18x = 0.72x
She buys the racket for $34. This means that
0.72x = 34
x = 34/0.72 = $47
