Answer:
16 + 12 = 28
Step-by-step explanation:
Answer: $16.15
Explanation:
Discount = 10% x $8.50 = 0.1 x $8.50 = $0.85
Price after discount = $8.50 - $0.85 = $7.65
Total Amount = $8.50 + $7.65 = $16.15
Answer:
6 ( I think, but no promises)
Step-by-step explanation:
V=1/3bh
sooo, just plug in the numbers
V=1/3(3)(1/2•4•3) =6
For part A, use the Pythagorean Theorem.
a.) Since we see that the triangle is made up of two right triangles, simply subtract half the leg from the length of the hypotenuse.
10/2 = 5
13² - 5² = 169 - 25 = √144 = 12 centimeters cubed for the height.
b.) For this, we need to find the surface area of the prism. The surface area of a triangular prism can be found using the formula:
Surface area (SA) = 10(12) + (10 + 13 + 13)(20)
=120 + 660 = 780 cm²
Answer:
Step-by-step explanation:
1) When the sector is cut out, the remaining sector would be used to form the cone. The angle subtended by this sector would be
360 - 60 = 300°
The length of the arc of this sector would represent the circumference of the circular base of the conical hat.
Radius of the circle = diameter/2 = 20/2 = 10 inches
Formula for length of arc = #/360 × 2πr
Where
# is the subtended angle
Therefore,
Length of arc = 300/360 × 2 × 3.14 × 10 = 52.3 inches
circumference of the circular base of the conical hat = 52.3 inches
2) the surface area = πrl
Where
l represents the slant height
the radius of the circle would become l.
To determine the radius of the cone, we would apply, we would make use of the circumference of the circular base.
Circumference = 2πr
52.3 = 2 × 3.14 × r
r = 52.3/6.28 = 8.33 inches
Surface area = 3.14 × 8.33 × 10 = 262 inches²