Marina sells candles that are in the shape of cones. She makes a yellow candle that has a diameter of 4 inches and a height of 11 inches. She sells each candle at a price of $0.35 per cubic inch of wax. Which statements about the yellow candle are true? Check all that apply. Use 3.14 for Pi.
The volume of the yellow candle is about 46.05 inches cubed.
The volume of the yellow candle is about 184.21 inches cubed.
The radius of the yellow candle is 2 in.
The radius of the yellow candle is 8 in.
The base area of the yellow candle is about 6.28 inches squared.
The base area of the yellow candle is about 12.56 inches squared.
The price of one yellow candle is about $64.47.
The price of one yellow candle is about $16.12.
since the triangle is right use the tangent ratio to solve for x
∠a = 180° - (90 + 40)° = 180° - 130° = 50°
tan50° = =
multiply both sides by 8
x = 8tan50° → b
x = 7
given equation is :
14x-49 = x²
adding -x² to both sides of equation,we get
-x²+14x-49 = -x²+x²
-x²+14x+49 = 0
take -1 as common
-1(x²-14x-49) = 0
now multiplying above equation to -1, we get
x²-14x-49 = 0
now, above equation is in general equation.
split the middle term of above equation so that the product of two terms should be 49 and sum be -14.
x²-7x-7x-49 = 0
make two groups
x(x-7)-7(x-7) = 0
take (x-7) as common
(x-7)(x-7) = 0
now applying zero-product property to above equation,we get
x-7 = 0 or x-7 = 0
as both are same ,hence
x-7 = 0
adding 7 to both sides of above equation,we get
x-7+7 = 0+7
x+0 = 7
x = 7 which is the answer.
a = 24.96 yd^2
we need to find the area of the room
area is length times width
a = lw
we know the length is 5.2 yds and the width is 4.8
a = 5.2 * 4.8
a = 24.96 yd^2