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1 year ago

After we planted flowers in 2/5 of our garden, 24m squared remained unplanted. How many square meters is this garden in total?

Mathematics

2 answers:

zavuch27 [327]1 year ago

7 0

Answer:

60m^2

Step-by-step explanation:

I think

Anton [14]1 year ago

5 0

Answer:

60m²

Step-by-step explanation:

24 = 2/5

12 = 1/5

12 × 5 = 60

60 = 5/5

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A cylindrical can without a top is made to contain 25 3 cm of liquid. What are the dimensions of the can that will minimize the

Basile [38]

Answer:

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

Step-by-step explanation:

Given that, the volume of cylindrical can with out top is 25 cm³.

Consider the height of the can be h and radius be r.

The volume of the can is V= $\pi r^2h$

According to the problem,

$\pi r^2 h=25$

$\Rightarrow h=\frac{25}{\pi r^2}$

The surface area of the base of the can is = $\pi r^2$

The metal for the bottom will cost $2.00 per cm²

The metal cost for the base is =$(2.00× $\pi r^2$ )

The lateral surface area of the can is = $2\pi rh$

The metal for the side will cost $1.25 per cm²

The metal cost for the base is =$(1.25× $2\pi rh$ )

$=\$2.5 \pi r h$

Total cost of metal is C= 2.00 $\pi r^2$ + $2.5 \pi r h$

Putting $h=\frac{25}{\pi r^2}$

$\therefore C=2\pi r^2+2.5 \pi r \times \frac{25}{\pi r^2}$

$\Rightarrow C=2\pi r^2+ \frac{62.5}{ r}$

Differentiating with respect to r

$C'=4\pi r- \frac{62.5}{ r^2}$

Again differentiating with respect to r

$C''=4\pi + \frac{125}{ r^3}$

To find the minimize cost, we set C'=0

$4\pi r- \frac{62.5}{ r^2}=0$

$\Rightarrow 4\pi r=\frac{62.5}{ r^2}$

$\Rightarrow r^3=\frac{62.5}{ 4\pi}$

⇒r=1.71

Now,

$\left C''\right|_{x=1.71}=4\pi +\frac{125}{1.71^3}>0$

When r=1.71 cm, the metal cost will be minimum.

Therefore,

$h=\frac{25}{\pi\times 1.71^2}$

⇒h=2.72 cm

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

6 0

3 years ago

Assume that thermometer readings are normally distributed with a mean of degrees and a standard deviation of 1.00degrees C. A th

Andrew [12]

Answer:

0.2684 is the probability that the temperature reading is between 0.50 and 1.75.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 0 degrees

Standard Deviation, σ = 1 degrees

We are given that the distribution of thermometer readings is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(Between 0.50 degrees and 1.75 degrees)

$P(0.50 \leq x \leq 1.75)\\\\ = P(\displaystyle\frac{0.50 - 0}{1} \leq z \leq \displaystyle\frac{1.75-0}{1})\\\\ = P(0.50 \leq z \leq 1.75)\\= P(z \leq 1.75) - P(z < 0.50)\\= 0.9599 - 0.6915 = 0.2684 = 26.84\%$

0.2684 is the probability that the temperature reading is between 0.50 and 1.75.

7 0

3 years ago

Line segment JK measures 17cm. Segments JK was translated 4 units right and 8 units up for for J'K'. What is the measurement of

castortr0y [4]

Answer:

Step-by-step explanation:

8 0

2 years ago

A company conducted a survey to see whether its new toothpaste was morepopular with children or adults. Of the children surveyed

Naily [24]

Given: The information provided in the table shown

To Determine: From the options provided, the correct option that best describe the information given in the table

Solution

Given that 28% of the children used toothpaste. From the table

$Children(toothpaste)=\frac{0.07}{0.25}=\frac{7}{25}\times100=28\%$

Let us calculate the percentage of adult that used toothpaste

$Adult(toothpaste)=\frac{0.08}{0.75}=\frac{8}{75}\times100=10.667\%\approx11\%$

Hence, a smaller percentage of adults (about 11%) use the toothpaste.

The correct option is OPTION C

4 0

1 year ago

Find one-eight of the sum of 18 and the product of 6 and 1

4vir4ik [10]

Answer: 3

Step-by-step explanation:

The question is to calculate one-eight of the sum of 18 and the product of 6 and 1. This will be:

= 1/8 [18 + (6 × 1)]

= 1/8 [18 + 6]

= 1/8 × 24

= 3

The answer is 3.

8 0

3 years ago