The length of the base of a triangle is twice its
perpendicular height. If its area is 36 cm2, find
its length and perpendicular height.

Answer:

[tex]32x^2 \sqrt[3]{2x} - 8x^3[/tex]

Step-by-step explanation:

[tex]\hookrightarrow 4x\sqrt[3]{4x^2}\left(2\sqrt[3]{32x^2}-x^3\sqrt{2x}\right)[/tex]

[tex]\hookrightarrow 8x\sqrt[3]{32x^2 } \sqrt[3]{4x^2} -4x^2 \sqrt[3]{4x^2} \sqrt[3]{2x}[/tex]

[tex]\hookrightarrow 2^5\sqrt[3]{2}x^{\frac{7}{3}}-2^2\cdot \:2^{\frac{2}{3}}\sqrt[3]{2}x^3[/tex]

[tex]\hookrightarrow 32\sqrt[3]{2}x^{\frac{7}{3}}-4\cdot \:2^{\frac{2}{3}}\sqrt[3]{2}x^3[/tex]

[tex]\hookrightarrow 32x^2 \sqrt[3]{2x} - 8x^3[/tex]

The mole approximately 3.5 minutes to reach a depth of -3.7 feet.

To determine how long it takes for the mole to reach a depth of -3.7 feet, we need to calculate the time it takes to cover the distance between its starting point and the target depth.

The mole is digging straight up at a rate of 0.4 feet per minute.

Since the target depth is negative, we can consider it as a negative displacement.

The distance the mole needs to travel can be calculated as follows:

Distance = Target depth - Starting depth

Distance = -3.7 feet - (-5.1 feet)

Distance = -3.7 feet + 5.1 feet

Distance = 1.4 feet

Now, we can calculate the time it takes for the mole to cover this distance using the formula:

Time = Distance / Speed

Time = 1.4 feet / 0.4 feet per minute

Time = 3.5 minutes

Therefore, the mole approximately 3.5 minutes to reach a depth of -3.7 feet.

For such more questions on mole

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Answer:

17.0 meters

Step-by-step explanation:

The diagonal of a square is calculated as sqrt(2) x a, where a is the side

= sqrt (2) x 12 = approx. 16.97 (round to 17.0)

Hope this helps :)

Answer:

The 3rd, 4th, and 6th are correct but I'm not sure if the second would be correct as well.

Step-by-step explanation:

Answer:

37/28 is the lowest form

Step-by-step explanation:

Hope this helps! :)

Answer:

480

Step-by-step explanation:

4% of 12,000=480

Answer:

3 Wholes
Exact Amount: 3.5

Answer:

the answer is written below

Step-by-step explanation:

Let side of Inner square be S and side of Outer side be mS.

Area of Inner Square = S**2

Area of Outer Square = (mS)**2

The ratio of area of Inner Square and Outer Square is 1:m**2

i.e. Area of Outer Square will be m**2 times Area of Inner Square.

Answer:

π represents the ratio between circumference and diameter and for any circle, its always 3.14. Circumference = pi × diameter, so using your approximation of pi it's 10×3.14 = 31.4cm.

Step-by-step explanation:

Answer:

? wdym

Step-by-step explanation:

well points i guess i also need one more brainliest if you can give

Answer:

The first one answer is 4 because 8x2=16 divide by 4 will equal 4.

The second one answer is 10 because 10 x 4=40 and divided by 4 will equal 4.

The third one answer is 6/6 which will equal 1 because it is an whole number.

Box plot 5 important descriptive measures about data that they represent.

The median snowfall for Resort B is greater than the median for Resort A

The interquartile range has higher values for Resort A than for Resort B.

Resort B has more snowfall overall than Resort A does.

A box plot has 5 data descriptions.

The leftmost whisker shows the minimum value in the data.

The rightmost whisker shows the maximum value in the data.

The leftmost line in the box shows the first quartile.

The middle line shows the median, also called the second quartile.

The last line of the box shows the third quartile.

IQR(interquartile range)  is the difference between the third and first quartile.

Inferring the information each box plot describe, we get:

Case 1: For resort A:

Wisker's minimum value = minimum value for resort A = 175

Maximum value = 375

Box's minimum value = First quartile = 250

Box's maximum value = Third quartile = 300

First quartile = 250 < Median = Second quartile < 300 = third quartile

Thus, 250 < Median for resort A < 300

IQR = Third quartile - first quartile = 300 - 250 = 50

Range of values = Max - min = 375 - 175 = 200

Case 2: For resort B:

Wisker's minimum value = minimum value for resort B = 200

Maximum value = 400

Box's minimum value = First quartile = 300

Box's maximum value = Third quartile = 325

First quartile = 300 < Median = Second quartile < 375 = third quartile

Thus, 300 < Median for resort B < 375

IQR = Third quartile - first quartile = 325 - 300 = 25

Range of values= Max - min = 400 - 200

Thus, it is visible that:

Median for resort A < 300 < Median for resort B

or

Median for resort A < Median for resort B.

and

IQR for resort A = 50 > IQR for resort B = 25

and

Both have the same variation as both ranges are the same, which is the interval of values assumed for both resorts.

Hence, Minimum, maximum, first, and third quartile all are smaller for resort A, thus, Resort B has more snowfall overall than Resort A does.

Learn more about boxplot here:

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What is the approximate median snowfall at Resort A?

✔ 275 inches

What is the approximate median snowfall at Resort B?

✔ 325 inches

Answer:

A) The parallelogram is a rhombus

Step-by-step explanation:

A rhombus is an equally 4-sided figure with two acute angles and two obtuse angles opposite of each other.

Answer:2.07 is the answer as of e.2020 

Step-by-Step: Mean = 270 Standard deviation = 10 x = 255 Formula for z-score, z = (x - mean)/SD z = (255 - 270) / 10 => z = -15 / 10 => z = -1.5 So by referring to z-table, -1.5 correlates to 0.0668 that implies to 0.07 So 7% of the boxes of Apples weight less than 255oz. The percentage of boxes is in the range of 255 oz and 270 oz, Now calculating the requiring percentage 50% - 7% = 43%

Answer:

290 Is the answer I answered it before

Answer and explanation:

Given: Belinda wants to invest $1,000. The table below shows the value of her investment under two different options for three different years:  

Number of years 1 2 3

Option 1 (amount in dollars) 1100 1200 1300

Option 2 (amount in dollars) 1100 1210 1331  

To find:

Part A: What type of function, linear or exponential, can be used to describe the value of the investment after a fixed number of years using option 1 and option 2?  

Part B: Write one function for each option to describe the value of the investment f(n), in dollars, after n years.  

Part C: Will there be any significant difference in the value of Belinda's investment after 20 years if she uses option 2 over option 1?

Solution:

Part A: Linear and exponential functions can be used to describe the value of the investment after a fixed number of years using option 1 and option 2, respectively.  

Part B: (n=n+100) and (n=n+100x) are the functions for each option to describe the value of the investment f(n), in dollars, after n years.  

Part C: Yes, there will be a significant difference of 1900 in the value of Belinda's investment after 20 years if she uses option 2 over option 1.

Part A:

In the case of option 1, the linear function can be used to describe the value of the investment after a fixed number of years. This is because, in option one, the amount increases by a fixed amount every year.

In the case of option 2, the exponential function can be used to describe the value of the investment after a fixed number of years. This is because, in option 2, the amount increase is higher than last year.

Part B:

For option 1, the function is

For option 2, the function is

Here, x is the increase in amount every consecutive year.

Part C:

After 20 years, the amount from option 1 would be 3000 and the amount from option 2 would be 4900. Thus, there is a difference between 1900.

Therefore,

Part A: Linear and exponential functions can be used to describe the value of the investment after a fixed number of years using option 1 and option 2, respectively.  

Part B: (n=n+100) and (n=n+100x) are the functions for each option to describe the value of the investment f(n), in dollars, after n years.  

Part C: Yes, there will be a significant difference of 1900 in the value of Belinda's investment after 20 years if she uses option 2 over option 1.

Hope this helps

x = 0

y = 2

Step-by-step explanation:

4x - y = -2

2x + y = 2

-------------- add the equations

6x = 0

x = 0

substitute x in equation 1

0 - y = -2

y = 2

ur fatherless

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Answer:

15

Step-by-step explanation:

Answer:

yes, you can just write it as 3m : 2km

Step-by-step explanation:

I don't know if this is completely right, but I know you can also turn 3m into km by multiplying it by 1000, (because there are 1000 m in every km) and then solve because 3000km/2km = 1500km

So to solve would be 1500 km. I hope the first answer is right though. Did I help? Let me know in the comments

Answer:

17.3 ft

Step-by-step explanation:

We can use the Pythagorean theorem to solve

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

10^2 + h^2 = 20^2

100 + h^2 =400

Subtract 100 from each side

h^2 = 400-100

h^2 = 300

Taking the square root of each side

sqrt(h^2) = sqrt(300)

h = 17.32050808

Rounding to the nearest tenth

h = 17.3 ft

Answer:

az-bz+3b^2-6ab+3a^2

Hope this helps

Answer:

  18 terms

Step-by-step explanation:

The first given sequence has first term a1=2 and common difference d=5. Its explicit formula is ...

  an = 2 +5(n -1) = 5n -3

We want the n-th term of this sequence to be the same as the n-th term of the sequence defined by ...

  an = 4n +15

We can find n that makes this true by setting the 'an' values equal:

  an = an

  5n -3 = 4n +15

  n = 18 . . . . . . . . . . add 3-4n

The number of terms in each sequence is 18.

_____

Additional comment

The last term in each sequence is 87.

Answer:

None of these are constant

Answer:

The question is not complete

The distance closest to the distance the dog went is 31.42 ft

Since the dog moves around in one full circle, the distance the dog moves is the circumference of a circle.

The circumference of a circle C = 2πr where r = radius of circle.

Now r = length of leash = 5 foot

So, substituting r into the equation, we have

C = 2πr

C = 2π × 5 ft

C = 10π ft

C = 10 × 3.142 ft

C = 31.42 ft

So, the distance closest to the distance the dog went is 31.42 ft

Learn more about circumference of a circle here:

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Answer: 2

If there are 6 people, and there are 12 muffins, then we simply divide 12 by 6. This gives us 2. Which means that each person can get 2 muffins.

Step-by-step explanation:

Hope this helps =)