Answer:
See Explanation
Step-by-step explanation:
The question has missing details; as the radius or an attachment of the hemisphere is not given.
However, I'll solve on a general terms.
The volume of a hemisphere is: 
Take for instance
The volume becomes:
<em>So, all you need to do is plug in the value of radius in the formula.</em>
Applying the definition of a linear pair, m∠TOS = 52°
<em>Recall:</em>
Linear pair are two angles on a straight line whose sum equals 180°.
Given:
- m∠TOU = 128°
- m∠SOV = (4x + 8)°
m∠TOU + m∠TOS = 180° (linear pair)
128° + m∠TOS = 180°
- Subtract 128° from both sides of the equation
m∠TOS = 180° - 128°
m∠TOS = 52°
Thus, applying the definition of linear pair, m∠TOS = 52°
Learn more about linear pair on:
brainly.com/question/3768841
Answer:
Slope is technically 1, because it implies that it's going up one and over to the right one. Also in slope-intercept form it would look like this
y = x + 1.
Step-by-step explanation:
Hope this makes sense :)
Answer:
10.50°C
Step-by-step explanation:
Given x = 2 + t , y = 1 + 1/2t where x and y are measured in centimeters. Also, the temperature function satisfies Tx(2, 2) = 9 and Ty(2, 2) = 3
The rate of change in temperature of the bug path can be expressed using the composite formula:
dT/dt = Tx(dx/dt) + Ty(dy/dt)
If x = 2+t; dx/dt = 1
If y = 1+12t; dy/dt = 1/2
Substituting the parameters gotten into dT/dt we will have;
dT/dt = 9(1)+3(1/2)
dT/dt = 9+1.5
dT/dt = 10.50°C/s
Hence the rate at which the temperature is rising along the bug's path is 10.50°C/s
