Answer:
see explanation
Step-by-step explanation:
2πr (230/360) = 2(3.142)(40) = 160.59 cm = circumference
160.59 = 2πr
base radius = 25.56 cm
Use pythagorean formula for semi-vertical height
40² = h² + 25.56²
h = 30.77 cm
volume = 1/3πr²h
V = 1/3(3.142)(25.56)²(30.77) = 21,053.98 cm³
3 RIGHT TRIANGLES
1 big right triangle is divided into 2 smaller ones. Medium
and small.
<span> a.How far is the spot on the beach from the parking lot? </span>
Medium triangle: long leg = 32 m ; short leg = x
Small triangle: long leg = x ; short leg = 18m
32/x = x/18
32*18 = x*x
576 = x²
√576 = √x²
24 = x
Parking lot to the beach is 24 meters.
<span>b. How far will he have to walk from the parking lot to get to the refreshment stand?</span>
Use Pythagorean theorem:
Medium triangle: long leg = 32 m ; short leg = 24 m ;
hypotenuse = ?
32²+ 24² = c²
1024 + 576 = c²
1600 = c²
√1600 = √c²
40 m = c
Parking lot to refreshment stand is 40 meters.
Answer:
342.85714 %
Step-by-step explanation:
Percentage increase is given by
increase= (new - original)/ original * 100 %
The new is 186 and the original is 42
= (186 - 42)/ 42 * 100 %
=144/42* 100 %
=3.42857 * 100%
=342.85714 %
The final price is $ 40
<em><u>Solution:</u></em>
A store in Minnesota advertises that on a holiday, everything is 20% off
Discount = 20 %
A person buys shoes for $40 and socks for $10
<em><u>Therefore, Total price before discount is given as:</u></em>
Total price = 40 + 10 = 50
Therefore,
Total price before discount = $ 50
Discount = 20 %
Therefore, discount price is 20 % of 50

Thus the discount price is $ 10
<em><u>Final price is given as:</u></em>
Final price = Total price before discount - discount price
Final price = 50 - 10 = 40
Thus the final price is $ 40