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kati45 [8]
3 years ago
10

The height of a cone is twice the radius of its base.

Mathematics
1 answer:
amm18123 years ago
3 0

Answer:

The correct answer is option 1. \frac{2}{3} \pi x^3 cubic units.

Step-by-step explanation:

The formula for the volume, V of a right angled cone is given as:

V = \dfrac{1}{3} \pi r^{2} h ...... (1)

Where, \pi = 3.14

r is the radius of the circular base of the cone.

h is the height of the cone.

We are given that height is twice of the radius of its base.

Let the radius of base = x units

Now, As per the question statement,

The height of cone= 2 \times x units

Putting the values of r, h in equation (1) to find the volume:

\Rightarrow \dfrac{1}{3} \times \pi \times x^{2} \times 2x\\\Rightarrow \dfrac{2}{3}\pi x^{3}

Hence, the correct answer is option 1. \dfrac{2}{3}\pi x^{3} cubic units.

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The square root of a negative number, such as StartRoot negative 144 EndRoot, is undefined. Explain why the square root of –x, S
IRINA_888 [86]

Answer:

see the explanation

Step-by-step explanation:

we have

f(x)=\sqrt{-x}

we know that

The radicand of the function cannot be a negative number

so

-x\geq 0

Solve for x

Multiply by -1 both sides

x\leq 0

The domain of the function f(x) is the interval -----> (-∞, 0]

The domain is all real numbers less than or equal to zero

The range of the function f(x) is the interval ----> [0,∞)

The range is all real numbers greater than or equal to zero

<em>Example</em>

For x=144

144\leq 0 ----> is not true

This value of x not satisfy the domain

substitute

f(x)=\sqrt{-144} ----> this value is undefined

For x=-144

-144\leq 0 ----> is true

This value of x satisfy the domain

substitute

f(x)=\sqrt{-(-144)}

f(x)=\sqrt{144}----> this value is defined

therefore

The function will be undefined for all those values of x that do not belong to the interval of the domain of the function

6 0
3 years ago
Read 2 more answers
brand X pizza is having a special coupon offer. if you buy two large pizzas, you get $2.00 off the total price before tax. a lar
soldier1979 [14.2K]

Answer:

Very handy question to know the answer to. I know of no place on the planet that does not have a tax of some sort.

The tax only applies when money changes hands. It does not apply to any discounts

So if you take the deal, the cost is

Cost of 2 pizzas = normal price - the discount.

Cost of 2 pizzas = 2*10.50 - 2.00

Cost of 2 pizzas = 21 - 2

Cost of 2 pizzas = 19.00 dollars.

Not you add on the sales tax. You can do this one of two ways, the long way or the short way.

Long way

Find the sales tax

Tax = % * cost

Tax = (7.5/100) * 19

Tax = 1.425 don't round yet.

Total Cost = purchase + tax

Total Cost = 19.00 + 1.425 = 20.425 Now round. This is a real problem. It depends on what you have been told to do about rounding when 5 is the last digit. I round up. So my answer would be 20.43 <<<<< Answer.

Short Way

Cost = (Price - discount)*(1 + %/100)

Cost = (21 - 2)*(1+ 7.5/100)

Cost = 19 * (1.075)

Cost = 20.425 = 20.43

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
I need the answers to this
adoni [48]
It would be -140=x... to get this you would multiply x over 14 by 14... since you did it to one side then you have to do it to the other
6 0
3 years ago
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Simplify: 20 sin(2x) cos(2x)
alexandr1967 [171]
Use the the double angle formula:
sin(2A)=2sin(A)cos(A)

substitute 2x for A, then
20sin(2x)cos(2x)=10(sin(2(2x))cos(2(2x))=10sin(4x)

8 0
3 years ago
Find the value of x. round the length to the nearest tenth
Ronch [10]

Answer:

777.9 meters

Step-by-step explanation:

Notice that the angles of the right triangle are 40 and 50 degrees, with the 500 meter side adjacent to the 50 degree angle. Now, we can set up an equation: cos (50 degrees) = 500 / x. Use a calculator to find that the answer is 777.9.

3 0
3 years ago
Read 2 more answers
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