Answer:
w=4
Step-by-step explanation:
The surface area of a prism is SA= 2lw+2lh+2hw
We are trying to find out the width if the SA is 240 square inches, length is 12 inches, and the height is 5 inches. Let's plug these numbers into the equation.
240=(2*12*w)+(2*12*5)+(2*5*w)
24w+120+10w
240= 34w+120
-120 -120
120= 34w
120/34 = 34w/34
w is approximately equal to 3.5 which can be rounded to 4
w=4
Hope this is right! It was confusing at first but I understood it!
Answer:
Y-intercept = 13
Step-by-step explanation:
Since, given points are:
(-2,5) and (3,25)
Now, by slope intercept form:
y= mx + b
Here, m= slope and b= y-intercept
In order to find y-intercept, we must find slope firstly:
Since,
Slope= m= y2-y1 / x2-x1
m= 25 - 5 / 3 - (-2)
m= 20 / 5
m= 4
Put ‘m’ in slope intercept form:
y= 4x + b
Substitute either point into above equation:
25= 4(3) +b
25= 12 + b
25 - 12 = b
or b= 25 - 12
b= 13
Hence, y-intercept is 13.
Answer:
14.4 lb
Step-by-step explanation:
In a see-saw in equilibrium, the torque generated by one side needs to be the same generated in the other side. The torque is calculated by the product between the mass and the distance to the center of the see-saw.
The torque generated by the child is:
T1 = 60 * 3 = 180 lb*feet
So, the torque generated by the weight needs to be higher than T1 in order to lift the child.
The lowest mass is calculated when the mass is in the maximum distance, that is, 12.5 feet from the center.
So, we have that:
T2 = 180 = mass * 12.5
mass = 180/12.5 = 14.4 lb
So the lowest weight is 14.4 lb
Answer: The first one is17power-9
The second one is 1
Step-by-step explanation:
Answer:
100,000
Step-by-step explanation:
84028
+17131
-----------
101,159
100,000
