Answer:
216x
Step-by-step explanation:
- Write it out:
- Add in x: 216x
I hope this helps!
Area of rectangle = l*w
Area of triangle = (1/2)*l*w
Based on the figure:
Area of triangles = 2*(1/2)*l*w
= 2*(1/2)*24*14 = 336 cm^2
Area of side rectangles = 2*l*w
= 2*44*25 = 2200 cm^2
Area of bottom rectangle = l*w
= 44*14 = 616 cm^2
To find the total surface area, you would add all of the sides together:
336+2200+616= 3152 cm^2
Don’t be afraid to ask any questions, if you have any :D
<h2>9.</h2><h3>Given</h3>
<h3>Find</h3>
- linear approximation to the volume when the radius increases 0.4 cm
<h3>Solution</h3>
The equation for volume of a sphere is
... V = (4/3)π·r³
Differentiating gives
... dV = 4π·r²·dr
Filling in the given numbers gives
... change in volume ≈ 4π·(15 cm)²·(0.4 cm)
... = 360π cm³ ≈ 1130.97 cm³ . . . . . . volume of layer 4mm thick
<h2>11.</h2><h3>Given</h3>
- an x by x by 2x cuboid with surface area 129.6 cm²
- rate of change of x is 0.01 cm/s
<h3>Find</h3>
<h3>Solution</h3>
The area is that of two cubes of dimension x joined together. The area of each such cube is 6x², but the two joined faces don't count in the external surface area. Thus the area of the cuboid is 10x².
The volume of the cuboid is that of two cubes joined, so is 2x³. Then the rate of change of volume is
... dV/dt = (d/dt)(2x³) = 6x²·dx/dt
We know x² = A/10, where A is the area of the cuboid, so the rate of change of volume is ...
... dV/dt = (6/10)A·dx/dt = 0.6·(129.6 cm²)(0.01 cm/s)
... dV/dt = 0.7776 cm³/s
Answer:
45
Step-by-step explanation:
13 x 4 = 52
13 represents # of cars
4 represents tires per car
52 represents total tires
52 tires - 7 damaged tires = 45 undamaged tires
Answer:
y=25
Step-by-step explanation:
10*2=20
20+5=25
