Answer:
42 square inches.
Step-by-step explanation:
The formula for area is <em>Length x Width</em>
7 x 6 = 42
Then add the units to be specific, and you get:
42 square inches
The answer to your question is:
<span> w = 5/8 = 0.625</span>
Answer:
1386 in³
Step-by-step explanation:
Volume of the composite cone = volume of a hemisphere + volume of a cone
=>Find the volume of cone
Volume of cone = ⅓πr²h
π = 3.142
r = 7 in
h = =√(15² - 7²) [using Pythagorean theorem to solve for height given the slant height and radius]
h = √(225 - 49)
h = √176 ≈ 13 in
Volume of cone = ⅓*3.142*7²*13
= ⅓*2001.454 ≈ 667 in³
=>Find volume of hemisphere.
Volume of hemisphere = ½*volume of sphere = ½*4/3πr³ = ⅔πr³
π = 3.142
r = 7 in
Volume = ⅔*3.142*7³ ≈ 719 in³
<em>Volume of composite figure = 667+719 = 1386 in³</em>
<h3>answer</h3>
6 cm.
Explanation:
Since they've given use the area of the triangle, we can use the area formula to find the base of the triangle.
The formula to find the area of a triangle is:
a
=
1
2
h
b
→
(
h = height
,
b= base
)
We know:
a
=
24
h
=
8
So we can substitute them in and find
b
:
24
=
1
2
(
8
)
b
Multiply by sides by 2 and then divide:
24
×
2
=
1
2
(
8
)
b
×
2
48
=
8
b
6
=
b
The base of the triangle is
6 cm.
ur welcome ♥️♥️
For the last part, you have to find where 
attains its maximum over 
. We have
so that
with critical points at 
such that
So either
or
where 
is any integer. We get 8 solutions over the given interval with 
from the first set of solutions, 
from the set of solutions where 
, and 
from the set of solutions where 
. They are approximately
