Answer:
2411.52 cm³
Step-by-step explanation:
V = (2/3)πr³ Use the equation for volume of a hemisphere
V = (2/3)(3.14)(8)³ Simplify the exponent
V = (2/3)(3.14)(512) Multiply
V = 1071.79 cm³
V = πr² h/3 Now find the volume of the cone
V = (3.14)(8)²(20/3) Simplify the exponent
V = (3.14)(64)(20/3) Multiply
V = 1339.73 cm³
Add both of the volumes together to get the volume of the figure.
1071.79 + 1339.73 = 2411.52 cm³
If this answer is correct, please make me Brainliest!
4/9(2n)+4/9(-3)
(4x2/9)n+(4 x -3)/9
(8/9)n -12/9
8/9n-4/3
Use the trigonometry triangles SOH CAH TOA
Sin= opposite/hypotenuse
Opposite= opposite the angle
Hypotenuse is the longest side
Xy=30
x=6/11
6/11y=30
Divide by 6/11 on both sides
y=55
Answer:
20 batches
Step-by-step explanation:
Cups of sugar in a bag = 15
Cups of sugar per batch of cookie = 3/4 cup
Cups of sugar per batch of cookie : batch of cookies = 3/4 : 1
what's the greatest number of batches of cookies that can be made with the bag of sugar
Let
x = batches of cookies made with a bag of sugar
Cups of sugar per batch of cookie : batch of cookies = 15 : x
Equate the ratios
3/4 : 1 = 15 : x
3/4 ÷ 1 = 15/x
3/4 × 1/1 = 15/x
3/4 = 15/x
Cross product
3 * x = 4 * 15
3x = 60
x = 60/3
x = 20
x = batches of cookies made with a bag of sugar = 20 batches
