Answer:
The new pressure is 4.27 pounds
Step-by-step explanation:
In this question, we have the volume varying inversely as the pressure;
Firstly, let's say the volume is V and the pressure is P
Mathematically;
V ∝ 1/P
Let us insert a constant of proportionality K
⇒ VP = K
Let's calculate the value of K
K = 32
× 8 = 256 
Now in the second scenario, pressure is unknown but we know the volume to be 60
Recalling; VP = K
P = K/V = 256 /60 = 4.27 pounds
Step-by-step explanation:
∠4 = ∠1 & ∠2 = ∠3
360 - 2(98) = ∠2 + ∠3
∠3 = 164/2
∠3 = 82°
Here’s the first one, hope this helps
9514 1404 393
Answer:
(40π +48) cm²
Step-by-step explanation:
The total area is the sum of the areas of a 12 cm circle, a 4 cm circle, and a 12 cm by 4 cm rectangle.
For a given diameter (d), the area of a circle is ...
A = (π/4)d²
Then the area of the two circles is ...
A = (π/4)(12 cm)² +(π/4)(4 cm)² = (π/4)(144 cm² +16 cm²) = 40π cm²
The area of the rectangle is ...
A = LW
A = (12 cm)(4 cm) = 48 cm²
Then the total area of the figure is ...
total area = circle area + rectangle area
total area = 40π cm² +48 cm²
total area = (40π +48) cm²
