It is an obtained solution to an equation which makes the original equation undefined.

A scoop of ice cream has 1.5 inch radius. How talk should the cream cone of the same radius be in order to contain all of the ic

MAVERICK [17]

Answer:

The cream cone should be 6 inches.

Step-by-step explanation:

Given:

A scoop of ice cream has 1.5 inch radius.

Now, to find the height of the cream cone.

So, we need to get the volume of scoop by putting formula:

Radius (r) = 1.5 inch.

Using the value π = 3.14.

$Volume=\frac{4}{3} \pi r^3$

$Volume=\frac{4}{3}\times 3.14\times 1.5^3\\\\Volume=\frac{4}{3}\times 3.14\times 3.375\\\\Volume=14.13\ inches^3.$

Thus, the volume of the ice cream scoop is 14.13 cubic inches.

So, to put all of the ice cream inside the cone.

We take the cream cone volume as the scoop volume.

Let the height of cone be $h.$

As, given radius is same.

Now, to get the height of the cream cone we put formula of volume:

$Volume=\pi r^2\frac{h}{3}$

$14.13=3.14 \times (1.5)^2\times \frac{h}{3}\\\\14.13=3.14\times 2.25\times \frac{h}{3}$

Multiplying both sides by 3 we get:

$42.39=3.14\times 2.25\times h\\\\42.39=7.065\times h$

Dividing both sides by 7.065 we get:

$6=h$

$h=6\ inches.$

Hence, the height of the cone = 6 inches.

Therefore, the cream cone should be 6 inches.

7 0

3 years ago

Z + 21/–1 = –3. z+21/-1 is a fraction

Vika [28.1K]

Answer:

No Answer

Step-by-step explanation:

$z+\frac{21}{-1} =-3*z+\frac{21}{-1}$

cancel out same on both sides

$0=-3$

N/A

3 0

3 years ago

Read 2 more answers

Add integer help just explain

dusya [7]

Since -6 +6 can be rearranged to 6-6 using the communicative property, we get 6-6 =0 . In addition, -120+(-6) is essentially having -120+ 1*(-6), and 1 times a number is simply that number, so we have -120-6=-126

4 0

3 years ago

A snowboard originally costs $120, but it is on sale for 45% off. If a customer buying the snowboard has a coupon for $15.00 off

kotykmax [81]

51 dollars hope that helps

7 0

3 years ago

Read 2 more answers

The average human gestation period is 270 days with a standard deviation of 9 days. The period is normally distributed. What is

Anna35 [415]

Answer:

Probability that a randomly selected woman's gestation period will be between 261 and 279 days is 0.68.

Step-by-step explanation:

We are given that the average human gestation period is 270 days with a standard deviation of 9 days. The period is normally distributed.

Firstly, Let X = women's gestation period

The z score probability distribution for is given by;

Z = $\frac{ X - \mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = average gestation period = 270 days

$\sigma$ = standard deviation = 9 days

Probability that a randomly selected woman's gestation period will be between 261 and 279 days is given by = P(261 < X < 279) = P(X < 279) - P(X $\leq$ 261)

P(X < 279) = P( $\frac{ X - \mu}{\sigma}$ < $\frac{279-270}{9}$ ) = P(Z < 1) = 0.84134

P(X $\leq$ 261) = P( $\frac{ X - \mu}{\sigma}$ $\leq$ $\frac{261-270}{9}$ ) = P(Z $\leq$ -1) = 1 - P(Z < 1)

= 1 - 0.84134 = 0.15866

Therefore, P(261 < X < 279) = 0.84134 - 0.15866 = 0.68

Hence, probability that a randomly selected woman's gestation period will be between 261 and 279 days is 0.68.

3 0

3 years ago