Answer:
2.5 + 3(5-2.1p) = -13.37
2.5+15-6.3p=-13.37
17.5-6.3p=-13.37
-6.3p=-30.87
p=4.9
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
This isn't really an answer,but I used to use an app called "Photomath" it shows you the answer as well as the work.
Step-by-step explanation:
Answer:
The lateral surface area of the triangular prism is 379.5sq units
Step-by-step explanation:
The side lengths of the base of the triangular prism are 5 meters, 8 meters, and 10 meters.
It is given that the height of the prism is 16.5 meters.
To determine the lateral surface area of the prism, let us use the formula
where a, b,c are the side lengths of the base of the triangular prism and h is the height of the prism.
Here and
Substituting these values in the formula, we have,
Simplifying, we get,
Multiplying, we get,
Thus, the lateral surface area of the triangular prism is
M∠P = 12°
m∠Q = 90° [A tangent line to a circle is perpendicular to the radius drawn to the tangent point]
m∠O = 90 - 12 = 78°
Answer: x=78°
Answer:
2160 cm³/hour
Step-by-step explanation:
By default, we know that the volume of a cube is given as s³
Thus, the Volume function, V = s³
When we differentiate with respect to time we have
dV/dt = 3s² (ds/dt), where ds/dt = 0.2
Then we go ahead and substitute all the given parameters
dV/dt = 3 x 60 x 60 x 0.2
dV/dt = 10800 * 0.2
dV/dt = 2160 cm³/hour
This means that the volume decreases by a rate of 2160 cm³/hour at the instant its edge is 60 cm
