All categories

3 years ago

The two cones below are similar what is the value of x?

Mathematics

1 answer:

Gwar [14]3 years ago

5 0

Answer: D. 0.6

Step-by-step explanation:

When the two cones are similar the corresponding radius and heights are in the same proportion,

Thus, By the given figure,

Two cones having radius 3 and x and having heights 10 and 2 respectively are similar.

So, We can write,

$\frac{10}{2} = \frac{3}{x}$

$10 x = 2\times 3$

$10 x = 6$

$x = 0.6$

Thus, Option D is correct.

You might be interested in

I’ve tried everything

ludmilkaskok [199]

Answer:

the answer is 149.9miles

8 0

3 years ago

Mark is creating a tarp to cover his new vegetable garden outside. He needs enough nylon to cover the garden which is 10 feet by

Cerrena [4.2K]

Answer:

$91.67.

Step-by-step explanation:

We have been given that Mark is creating a tarp to cover his new vegetable garden outside. He needs enough nylon to cover the garden which is 10 feet by 8 feet and then he will attach rope along the edges of the nylon to stake it down with.

A. Let us find area covered by nylon by multiplying 10 by 8.

$\text{ Amount of Nylon needed to cover the garden}=10\text{ feet}*8\text{ feet}$

$\text{ Amount of Nylon needed to cover the garden}=80\text{ feet}^{2}$

Now let us convert area of needed nylon from square feet into square yard by multiplying 80 by 0.111111.

$\text{ Amount of Nylon needed to cover the garden}=80*0.111111\text{ yards}^{2}$

$\text{ Amount of Nylon needed to cover the garden}=8.88889\text{ yards}^{2}$

Now let us multiply 8.88889 by 5.25 to find the cost of nylon cover of the garden.

$\text{ Cost of Nylon cover of the garden}=8.88889*5.25$

$\text{ Cost of Nylon cover of the garden}=46.6666725\approx 46.67$

Therefore, the cost of nylon cover will be $46.67.

B. Now let us find length of rope by finding the perimeter of the garden.

$\text{Length of rope}=2(10+8)\text{ feet}$

$\text{Length of rope}=2(18)\text{ feet}$

$\text{Length of rope}=36\text{ feet}$

Now let us find the cost of 36 feet long rope by multiplying 36 by 1.25.

$\text{Cost of rope}=36*1.25$

$\text{Cost of rope}=45$

Therefore, the cost of rope will be $45.

To find the total cost to make the cover we will add cost of nylon cover and cost of rope.

$\text{Total cost to make the cover}=45+46.67$

$\text{Total cost to make the cover}=91.67$

Therefore, it will cost $91.67 for Mark to make the cover for vegetable garden.

7 0

3 years ago

What is the inequality

nasty-shy [4]

Answer:

x>3

Step-by-step explanation:

7 0

3 years ago

What is the mood<br> of Niyi osundare in the poem

melomori [17]

Answer:

the poet's mood is that of disappointment, following the poor governance of the country, that is rich in human and natural resources. Tone: the poem has the tone of ” calls for hybrid of habits ” as advocated by the forest sage

6 0

3 years ago

An insurance office buys paper by the ream, 500 sheets, for use in the copier, fax, and printer. Each ream lasts an average of 4

postnew [5]

Answer:

a) the probability that the next ream out- lasts the present one by more than 2 days is 0.0787

b) the number of reams that must be purchased is 19

Step-by-step explanation:

Given the data in the question;

Lets X₁ and X₂ be the two random variables that represents the first and second ream lasts

given that both random variables follow normal distribution with mean 4 and standard deviation 1.

Find the probability that the next ream out- lasts the present one by more than 2 days.

P( X₂ - X₁ > 2 ) = P( [(X₂ - X₁ - E(X₂ - X₁)) / √(V(X₂ - X₁)] > [ (2-E(X₂ - X₁))/√(V(X₂ - X₁) ]

= 1 - P( Z ≤ [2-(μ₂ - μ₁)] / [√( V(X₂) + V(X₁) ) ] )

= 1 - P( Z ≤ [2-(4 - 4)] / [√( 1 + 1 )] )

= 1 - P = ( Z ≤ 2 / √2 )

= 1 - p( Z ≤ 1.4142 )

from excel; p( Z ≤ 1.41 ) = 0.9213

P( X₂ - X₁ > 2 ) = 1 - 0.9213

P( X₂ - X₁ > 2 ) = 0.0787

Therefore, the probability that the next ream out- lasts the present one by more than 2 days is 0.0787

How many reams must be purchased if they are to last at least 60 days with probability at least 80%

total value is 4n

standard deviation is nσ

P(nX ≥ 60 ) = 0.80

P( nX-nμ /nσ ≥ 60-nμ/nσ) = 0.80

P( Z ≥ 60-4n/n) = 0.80

1 - P( Z ≥ 60-4n/n) = 0.80

P( Z < z ) = 0.20

now since z = 60-4n/n

from standard normal table

critical value of z corresponding to cumulative area of 0.20 is -0.841

z = - 0.841

60-4n/n = -0.841

60 - 4n = -0.841n

60 = -0.841n + 4n

60 = 3.159n

n = 60 / 3.159

n = 18.99 ≈ 19

Therefore, the number of reams that must be purchased is 19

5 0

3 years ago