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aivan3 [116]
3 years ago
11

Helpppppppp pleaseeeee fasttt

Mathematics
1 answer:
Marta_Voda [28]3 years ago
5 0

Answer:

where is the question

Step-by-step explanation:

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How do I do question 9 & 11? Please help thank you!
Novay_Z [31]
<h2>9.</h2><h3>Given</h3>
  • sphere with radius 15 cm
<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>
  • rate of change of volume
<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

5 0
3 years ago
The perimeter of the triangle shown is 32 ft what is the value of x
dolphi86 [110]
Where's X located at on the triangle
side a
side b
side c

3 0
3 years ago
Reduce to simplest form. -3/5 + (-8/2) =
Dominik [7]

Answer:

<u>The answer is -4 3/5</u>

Step-by-step explanation:

Let's reduce to its simplest form:

-3/5 + (-8/2) =

Step 1: Lowest Common Denominator (10):

- 6/10 + (-40/10) =

Step 2: Solve the parentheses:

- 6/10 - 40/10 =

Step 3: Subtract the fractions:

-46/10

Step 4: Simplify (Dividing by 2):

-23/5

Step 5: Converting the fraction to mixed number:

-4 3/5

<u>The answer is -4 3/5</u>

3 0
3 years ago
Please answer the following question
Arte-miy333 [17]
Yeah there all right but I have a little hinch for the last and first one
6 0
3 years ago
Whats is 1+1+3+7+8+33542
Murljashka [212]

Answer:

33562, You could have used a calculator, or used your head, why

Step-by-step explanation:

7 0
3 years ago
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