Answer:
5/8
Step-by-step explanation:
To write
−
1
4
as a fraction with a common denominator, multiply by
2
2
.
x
=
7
8
−
1
4
⋅
2
2
Write each expression with a common denominator of
8
, by multiplying each by an appropriate factor of
1
.
Tap for more steps...
x
=
7
8
−
2
8
Combine the numerators over the common denominator.
x
=
7
−
2
8
Subtract
2
from
7
.
x
=
5
8
Answer:
-1050
Step-by-step explanation:
-650+(-400)=-1050
We use negatives to show it is below sea level
Unknown factor is known as the factor that is not understood and not know(you have no idea what the value is)
quotient is the answer of two different numbers called dividend and divisor being divided with each other
Answer:
Question 1 ) Difference of Volume = 112.25 cm³
Question 2) Volume = 6400π feet³
Step-by-step explanation:
<h3>As part of a new advertising campaign, a beverage company wants to increase the dimensions of their cans by a multiple of 1.10. If the cans are currently 12 cm tall, 6 cm in diameter, and have a volume of 339.12 cm3, how much more will the new cans hold? Use 3.14 for π and round your answer to the nearest hundredth.</h3>
Diameter = 6 cm
Radius = 3 cm
Height = 12 cm
If we increase the dimension by 1.10, new dimesnions are:
Radius = 3 · 1.1 = 3.3 cm
Height = 12 · 1.1 = 13.2 cm
Volume = (Area)(Height) = (πr²)(Height)
Volume = (π)(3.3²)(13.2)
Volume = 451.37 cm³
Difference of Volume = 451.37 cm³ - 339.12 cm³
Difference of Volume = 112.25 cm³
<h3>
The circumference of a redwood tree trunk is 16π ft, and it is 100 ft tall. What is the approximate volume of the redwood tree trunk? </h3>
Circumference = 2πr = 16π = 2π(8) feet
Radius = 8 feet
Volume = Volume = (Area)(Height) = (πr²)(Height)
Volume = (π)((8²)(100)
Volume = 6400π feet³
Answer:
The total weight = 1286 × 62.4 = 80246 pounds.
Step-by-step explanation:
The formula of the volume of the sphere is
V = 4/3×π×r³
Given
d = 17 feet
d = 2r
r = d/2 = 17/2 = 8.5 feet
V = 4/3×π×r³
Since we need half of the volume as it is a hemispherical tank.
= 1286 ft³
Given that the weighs 62.4 pounds per cubic foot
Thus, the total weight = 1286 × 62.4 = 80246 pounds.
