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lara [203]
3 years ago
9

What is the volume of a cone (in cubic inches) of radius 5 inches and height 3

Mathematics
1 answer:
beks73 [17]3 years ago
6 0

Answer:

78.54 cm^3

Step-by-step explanation:

I think thats the answer

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In Problems 23–30, use the given zero to find the remaining zeros of each function
Talja [164]

Answer:

x =  2i, x = -2i and x = 4 are the roots of given polynomial.

Step-by-step explanation:

We are given the following expression in the question:

f(x) = x^3 - 4x^2+ 4x - 16

One of the zeroes of the above polynomial is 2i, that is :

f(x) = x^3 - 4x^2+ 4x - 16\\f(2i) = (2i)^3 - 4(2i)^2+ 4(2i) - 16\\= -8i+ 16+8i-16 = 0

Thus, we can write

(x-2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16

Now, we check if -2i is a root of the given polynomial:

f(x) = x^3 - 4x^2+ 4x - 16\\f(-2i) = (-2i)^3 - 4(-2i)^2+ 4(-2i) - 16\\= 8i+ 16-8i-16 = 0

Thus, we can write

(x+2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16

Therefore,

(x-2i)(x+2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16\\(x^2 + 4)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16

Dividing the given polynomial:

\displaystyle\frac{x^3 - 4x^2 + 4x - 16}{x^2+4} = x -4

Thus,

(x-4)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16

X = 4 is a root of the given polynomial.

f(x) = x^3 - 4x^2+ 4x - 16\\f(4) = (4)^3 - 4(4)^2+ 4(4) - 16\\= 64-64+16-16 = 0

Thus, 2i, -2i and 4 are the roots of given polynomial.

4 0
3 years ago
How does the order of the numbers affect the product in multiplication problems
GalinKa [24]

Answer:

Uneffected.

Step-by-step explanation:

The order of the numbers doesn't affect the product in multiplication problems.

For example, we need to multiply 2 × 10.

We can write it as : 2×5×2

2×(5×2) = 2×10 = 20

Also,

(2×5)×2 = 10×2 = 20

Hence, it will remain unaffected when we multiply numbers.

7 0
3 years ago
X=-3y-5 3x+9y=7 how can u solve this?
pentagon [3]

Answer:


Step-by-step explanation:


5 0
3 years ago
Read 2 more answers
A hackberry tree has roots that reach a depth of
Degger [83]

Answer:

24.6967 meters

Step-by-step explanation:

The roots of the tree go 6 and 5 over 12 meters below the ground level.

Now, 6 and 5 over 12 meters is equivalent to 6.4167 meters.

Again the top of the tree is 18.28 meters high from the ground level.

Therefore, the total height of the tree from the bottom of the root to the top is  

(6.4167 +18.28) = 24.6967 meters (Answer)

5 0
3 years ago
At Simba Travel Agency, the price of a climbing trip to Mount Kilimanjaro includes an initial fee plus a constant fee per meter.
Alexus [3.1K]

Answer: $110


Step-by-step explanation:

Given: At Simba Travel Agency, the price of a climbing trip to Mount Kilimanjaro includes an initial fee plus a constant fee per meter.

F(d)models the fee (in dollars) for climbing d meters.

F(d)=110+0.12d

To find the initial amount, substitute d=0 int the above function, we get

F(0)=110+0.12(0)=110


Hence, the initial fee= $110.

5 0
3 years ago
Read 2 more answers
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