Answer:
Find the height of a cylinder with radius 25 cm and surface area 8953.54 cm².
O = 2·pi·r^2 + 2·pi·r·h --> h = O/(2·pi·r) - r = 8953.54/(2·pi·25) - 25 = 32.00 cm
Find the volume of a rectangular prism that measures 47 meters long, 24 meters wide, and 33 meters high.
V = a·b·c = 47·24·33 = 37224 m³
Find the surface area of a square pyramid with dimensions 6 ft by 6 ft, and slant height 9 ft.
O = a^2 + 2·a·hs = 6^2 + 2·6·9 = 144 ft²
Answer:
Option D. AC= 10 cm and CE= 5 cm
Step-by-step explanation:
From the given figure two triangles ΔABC and ΔADE are similar and two lines BC║DE.
From these similar triangles we know


Therefore 
Or AC=
Now from pythagoras theorem
AE = √(AD²+ED²) = √(12²+9²) = √(144+81) =√225 = 15 cm
Since we know side AC = 
= 
= 10 cm
Therefore AC = 10 cm and AE = 15cm and CE = (15-10) = 5 cm
Answer:
15.09
Step-by-step explanation:
Hope this helps!
Salt is used in the largest quantity in Lydia's recipe.
<em><u>Explanation</u></em>
Required spices are......
Salt =
teaspoon , Oregano =
teaspoon, Crushed thyme =
teaspoon and Black peeper =
teaspoon
For finding the largest quantity, first we need to make the denominators of each fraction as equal and then identify the largest numerator.
The denominators are 2, 3, 4 and 8 and their LCM(Least common multiple) will be 24. So.....

As the largest numerator is 12 here, so the value of
is largest among all the fractions.
Thus, <u>Salt</u> is used in the largest quantity in Lydia's recipe.