Answer:
Step-by-step explanation:
Volume of the figure = Volume of cone + Volume of hemisphere
Cone:
height h = 33 m
Diameter = 30m
Radius r = 30/2 = 15 m
Volume of Cone:
Hemisphere:
Radius r = 15 m
Volume of Hemisphere =
Volume of the figure = 2475π + 2250π = 4725π m²
Answer:
The volume of the prism is 
Step-by-step explanation:
First let's get the area of the triangle. To get that, we use the formula 
In words, this is <em>base · height ÷ 2</em>
When we plug in the numbers, it is 10 · 10 ÷ 2, which is equal to 50.
And of course we multiply 50 by 25 to find
<span>△ABC∼△DEF
</span>Height of <span>△ABC: h1=20 inches
</span>Height of △DEF: h2=24 inches
<span>Ratio of the area of △ABC to the area of △DEF: R=?
</span>
R=(h1/h2)^2
R=[ (20 inches) /(24 inches) ]^2
R=(5/6)^2
R=5^2/6^2
R=25/36
Answer: T<span>he ratio of the area of △ABC to the area of △DEF is 25/36</span>
Dana would need 75 pickets of each color to have an equal amount.
75x4=300
She would need 43 more red pickets to equal 75. (32+43=75)
49 more green pickets to equal 75 (26+49=75)
66 more yellow pickets to equal 75 (9+66=75)
75 blue pickets to equal 75. (0+75=75)
Answer:
Value of w = 6
Step-by-step explanation:
Given:
AB= 4w-4
BC = 2w-8
AC = 24
Find:
Value of w
Computation:
AB + BC = AC
4w - 4 + 2w - 8 = 24
6w - 12 = 24
6w = 24 + 12
6w = 36
w = 6
Value of w = 6
