All categories

3 years ago

Could someone please check my answer and explain? im not sure if im doing this right

Mathematics

1 answer:

Juli2301 [7.4K]3 years ago

6 0

Answer:

$V=1071.78\ cm^3$

Step-by-step explanation:

Given that,

The radius of the cone, r = 8 cm

The height of the cone, h = 16 cm

We need to find the volume of the cone. The formula for the volume of the cone is given by :

$V=\dfrac{1}{3}\pi r^2 h\\\\=\dfrac{1}{3}\times 3.14\times 8^2\times 16\\\\V=1071.78\ cm^3$

So, the volume of the cone is equal to $1071.78\ cm^3$ .

You might be interested in

The shorter leg is??????????

Leto [7]

The shorter leg is

10·SIN(30°) = 5

3 0

3 years ago

Which of the expressions below can be factored using the difference of squares method?

Dmitry [639]

Answer: A. $9x^2 - 16y^2$ .

Step-by-step explanation:

A difference of squares problem is factored as : $a^2 - b^2 = (a + b)(a - b)$
For this both terms in the form of squares and a minus sign between them.

From all the options only option A has both terms square and they minus sign between them.

Also, $9x^2 - 16y^2= (3x)^2-(4y)^2=(3x+4y)(3x-4y)$

Here a= 3x and b= 4

Hence, the correct answer is A. $9x^2 - 16y^2$ .

3 0

3 years ago

Which equation is y = 2x2 – 8x + 9 rewritten in vertex form?

pishuonlain [190]

we have

$y=2x^{2} -8x+9$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$y-9=2x^{2} -8x$

Factor the leading coefficient

$y-9=2(x^{2} -4x)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$y-9+8=2(x^{2} -4x+4)$

$y-1=2(x^{2} -4x+4)$

Rewrite as perfect squares

$y-1=2(x-2)^{2}$

$y=2(x-2)^{2} +1$ -----> equation in vertex form

therefore

the answer is the option C

$y=2(x-2)^{2} +1$

3 0

3 years ago

Read 2 more answers

James is running late to his cousin's wedding and drives the 45 miles between his house and the wedding location 20 miles per ho

netineya [11]

Answer:

(r + 20)t = r

Step-by-step explanation:

Distance is constant in the scenario above, distance from home to wedding and wedding back home is the same.

From wedding back home. :

Recall : Distance = speed * time

Distance = r * 1 hour

From home to wedding :

Speed = 20 mph more ; r + 20

Time = t

Distance = (r + 20)* t = (r +20)t

Since the distance are the same, we can equate both :

(r + 20)t = r * 1

= (r + 20)t = r

5 0

3 years ago

You earn $35 for washing seven cars how much do uou earn for 4 cars

8_murik_8 [283]

Answer:

Step-by-step explanation:

because 35 divided by 7 is 5, so 4 cars must be 5 x 4 = 20

4 0

3 years ago