Answer:
71.764 feet
Step-by-step explanation:
See attached the rough sketch for your reference
Step one;
Given data
The angle of elevation= 25°
From the triangular diagram, we can see that the height of the church is the opposite, while the distance of the person from the church is the adjacent
Step two:
Applying SOH CAH TOA
tan∅= opp/adj
tan 25= opp/154
0.466= opp/154
cross multiply
0.466*154= opp
opp= height of church = 71.764 feet
As pressure increases, volume decreases.
As you read the table down, the number for pressure gets bigger while the number for volume lessens. Hope I helped :)
Answer:
301.44
Step-by-step explanation:
V = h x π x r^2
V = 6 x 3.14 x 4^2
V = 301.44
hope this helped!
Answer:
Step-by-step explanation:
When two variables vary inversely, it means that an increase in one would lead to a decrease in the other and vice versa. Since the volume of a gas, V in a container varies inversely with the pressure on the gas, P, if we introduce a constant of proportionality, k, the expression would be
V = k/P
If V = 370 in³ and P = 15psi, then
370 = k/15
k = 370 × 15 = 5550
The equation that relates the volume, V, to the pressure, P would be
V = 5550/P
if the pressure was increased to 25psi, the volume would be
V = 5550/25 = 222 in³
Answer:
No, doubling the base and height would actually quadruple the area,
Step-by-step explanation:
With the original measurements of b = 3 ft and h = 5 ft,
<em>b x h = A</em>
<em>(3) x (5) = </em><em>15 ft</em>
So lets say we <em>doubled</em> the factors:
<em>(2)(3) x (2)(5) = A</em>
We would end up with 60 feet, four times that of 15.
<em>(6) x (10) = </em><em>60 ft</em>