2. A soil was found to have the following water retention characteristics:
Water content at -10 kPa (field capacity) = 0. 15 kg kg-1; water content at -1500 kPa (wilting point) = 0. 06 kg kg-1. The bulk density was found to be 1250 kg m-3. Assume the density of water to be 1000 kg m-3

Answer:

120 degrees

Step-by-step explanation:

I'm not sure, but I think its correct!

Answer:

side length a = 2 cm

Step-by-step explanation:

side length a = 2 cm

face diagonal f = 2.8284271247462 cm

solid diagonal d = 3.4641016151378 cm

surface area S = 24 cm^2

volume V = 8 cm^3

Answer:

4

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

12+4 x 2

12+8= 20

Answer:

Its the number that balnces the numbers

Step-by-step explanation:

Answer:

is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. ... If there is an odd amount of numbers, the median value is the number that is in the middle, with the same amount of numbers below and above.

Step-by-step explanation:

Answer:

12cm

Step-by-step explanation:

Let x be the leg of the given isosceles triangle.

Then, the base of isosceles triangle = x+7

Consider the perimeter of the isosceles triangle, we get

x+x+x+7=43

3x+7=43

3x=36

x=12

hope this helps

x<-4 or x>9

hope this helps

have a good day

Answer:

D

Step-by-step explanation:

two and four are corrisponding angles (if n and p are parallel)

The statement that angle 2 ≅ angle 4 is Corresponding Angles Postulate

The angles which are formed in corresponding corners with the transversal when two parallel lines are intersected by any other line is called corresponding angle. The angles created when a transversal intersects two parallel lines are known as corresponding angles. Typical examples of corresponding angles include opening and closing a lunchbox, resolving a Rubik's cube, and endless parallel railroad tracks. These are created in the transversal's corresponding or matching corners. According to the definition of corresponding angles, when two parallel lines cross a third one, the angles that are in the same relative position at every intersection are referred to as being corresponding angles to one another.

A/c to corresponding angle,

∠2 = ∠4

Hence, option D is correct.

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The apothem of the polygon, give the area of the dodecagon, would be 3. 69 inches .

The apothem of a polygon can be defined as the radius of its inscribed circle, or as the perpendicular distance between any one of its sides and the center of the shape.

The apothem of a 12 - gon, given the area to be 140 square inches is therefore:

140 = 2 × x ² x tan ( 180 / 2 )

x = 3. 69 inches

In conclusion, the apothem would be 3. 69 inches .

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\( \quad\rule{300pt}{1pt}\)

we are given that , a ladder is placed against a side of building , which forms a right angled triangle . We wre given one side of a right angled triangle ( hypotenuse ) as 23 feet and the angle of elevation as 76 ° . We can find the Perpendicular distance from the top of the ladder go to the ground by using the trigonometric identity:

\( \qquad\quad\bull ~{\boxed{\bf{ Sin\theta =\dfrac{Perpendicular}{Hypotenuse}}} }~\bull\)

Here,

\( \quad\dashrightarrow\quad \sf { sin\theta =\dfrac{P}{H}}\)

\( \quad\dashrightarrow\quad \sf { sin76° =\dfrac{P}{23}}\)

\( \quad\dashrightarrow\quad \sf { 0.97=\dfrac{P}{23}}\)

\( \quad\dashrightarrow\quad \sf {P = 0.97 \times 23 }\)

\( \quad\dashrightarrow\quad \sf { P = 22.32}\)

‎ㅤ‎ㅤ‎ㅤ~Hence, the distance from the top of the ladder to the ground is 22.32 feet !

\( \rule{300pt}{2pt}\)

Answer:

9.48*

Step-by-step explanation:

This is a right triangle. The formula for solving the Hypotenuse, or the longest side of the right triangle is A^2 + B^2 = C^2. If we put the numbers from the problem into the formula this is what we get :

3^2 + 9^2 = C^2

9 + 81 = C^2

90 = C^2

9.48 = C

* This is rounded, the exact number is closer to 9.486832980505138. Your class should tell you what to round to.

Answer:

The answer would be A. 3√10 blocks

Step-by-step explanation:

I have had this question and its 3√10 blocks.
Hope this helps you other people :))

Answer:

Step-by-step explanation:

Candice = 25mph for 4 hours.

Candice has driven= 25 * 4= 100miles.

Liz =50mph

Liz time to catch up to candice= 50 * 2= 100miles.

Therefore, It would have taken Liz two hours to catch up with Candice

Answer:

c=$214.28

Step-by-step explanation:

Since you have the (p) value (p=285.7) all you need to do is plug it into one of these two equations

c=0.75p --- c=0.75(285.7)= 214.275-- 214.28

c=0.4p+100 --- c= 0.4(285.7) + 100 --- c= 114.28 +100 -- c= 214.28

either way its the same, just plug it into one or the other

The total profit that is earned is 4512.5

100 - q = 0

q = 100

Maximization is where q = 0

MR = mc

100 - q = 5

such that q = 95

Price would be  100 -0.5(95)

= 100 - 47.5

= 52.5

Profit earned would be

= 95*52.5 -5*95

= 4512.5

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First make 15/2 a mixed number

7 1/2

Or in decimal form its 7.5.

Find the square root of 55

Around 7.4

15/2 is greater

Answer:

1/7

Step-by-step explanation:

6 + 5 + 4 = 15

There are 15 marbles to start with.

p(event) = (number of desired outcomes)/(total number of outcomes)

First pick (there are 6 desired outcomes out of a total of 15 possible outcomes):

p(r) = 6/15

Now there are 5 red marbles left and a total of 14 marbles left.

Second pick (there are 5 desired outcomes out of a total of 14 possible outcomes):

p(r) = 5/14

These events are independent, so we multiply the two probabilities.

p(r, r) = 6/15 × 5/14

p(r, r) = 3/7 × 1/3

p(r, r) = 1/7

Answer:

1/12

Step-by-step explanation:

multiple of 3 and a multiple of 4 implies it can only be 12.

Since you only have the numbers from 1 to 12,

the prob(the 12) = 1/12

Answer:

C

Step-by-step explanation:

Since the sectors all meet at the centre of the circle, then

The angles around a point sum to 360° → A

90°... See More

https//90°.com

Answer:

1208.9

Step-by-step explanation:

To figure out the answer we have to separate it two parts

So the surface area of the piñata is

=The surface area of first cone + the area of the second second cone

=π×r×(r+s)+π×r×(r+s)

=3.14×7×(7+24)+3.14×7×(7+17)

=3.14×7×31+3.14×7×24

=681.38+527.52

=1208.9

Note:I am not sure so if you have any doubts. You can go with others

Answer:

(3x+2) + (2x-2) = 2*15

....

Step-by-step explanation:

yesyes jehdbshhshshshshsgs

Answer:

GCF of numbers 24, 40, 60 is 4

GCF(24, 40, 60) = 4

The derivative \(\( y' \)\) of the implicit function \(\( y^2 - xy = -2 \)\) is 0, indicating a constant slope with no change in relation to \(\( x \)\).

To find \(\( y' \)\)for the implicit function \(\( y^2 - xy = -2 \)\), we can differentiate both sides of the equation with respect to \(\( x \)\) using the chain rule. Let's go step by step:

Differentiating \(\( y^2 \)\) with respect to \(\( x \)\) using the chain rule:

\(\[\frac{d}{dx}(y^2) = 2y \cdot \frac{dy}{dx}\]\)

Differentiating \(\( xy \)\) with respect to \(\( x \)\) using the product rule:

\(\[\frac{d}{dx}(xy) = x \cdot \frac{dy}{dx} + y \cdot \frac{dx}{dx} = x \cdot \frac{dy}{dx} + y\]\)

Differentiating the constant term (-2) with respect to \(\( x \)\) gives us zero since it's a constant.

So, the differentiation of the entire equation is:

\(\[2y \cdot \frac{dy}{dx} - (x \cdot \frac{dy}{dx} + y) = 0\]\)

Now, let's rearrange the terms:

\(\[(2y - y) \cdot \frac{dy}{dx} - x \cdot \frac{dy}{dx} = 0\]\)

Simplifying further:

\(\[y \cdot \frac{dy}{dx}\) \(- x \cdot \frac{dy}{dx} = 0\]\)

Factoring out:

\(\[(\frac{dy}{dx})(y - x) = 0 \]\)

Finally, solving:

\(\[\frac{dy}{dx} = \frac{0}{y - x} = 0\]\)

Therefore, the derivative \(\( y' \)\) of the given implicit function is 0.

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Answer:

Step-by-step explanation:

find the two points and do "rise over run" to fins the slope.

the y-intercept is the point on the y-axis

(0, 3) and (-5, 5)

slope is 2/5

y-intercept is 3

y = 2/5x + 3

The maximum height reached by the shot put is dependent on its initial velocity and angle of inclination. Therefore, the unknown incline angle cannot be determined.

The horizontal velocity of the shot put will remain constant throughout its trajectory. However, the vertical velocity of the shot put will change as it is influenced by the force of gravity. At the highest point of the trajectory, the vertical velocity will be equal to zero. Therefore, the maximum height reached by the shot put can be calculated by using the vertical component of the initial velocity. The angle of inclination cannot be determined as there is no information given regarding the trajectory of the shot put after it leaves the ground.

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The sqrt() function returns the input, which is the square root. Passing a negative integer to sqrt() is forbidden!

Mathematics department includes quantities and their variations, equations and related structures, shapes and their locations and places to find them. The term "function" refers to a relationship between a set of inputs, each of which has its own output. A relationship between inputs and outputs, where each input leads to one distinct output, is called a function. Each function is assigned a domain and a code area, ie. scope In general, f denotes functions (x). the input is x. There are four main types of features available. based on the following factors: functions, one-to-one functions, many-to-one functions, internal functions and functions.

The Sqrt() function provides an input, which it receives as a return value, which is the square root. Passing a negative integer to sqrt() is forbidden! Defining symbolic constants for use in programs requires the use of the #define Preprocessor directive.

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Answer:

Step-by-step explanation:

2800(1-10/100)

2800(100-10)/100

2800(90/100)

$2520

Answer:

-20/9

Step-by-step explanation:

you need to know that terms with negative exponents go into the denominator and then the exponent becomes positive

you also need to remember that, when dividing fractions, you multiply by the reciprocal

example:  (\(\frac{1}{5}\))^-3 = 1/125

{(1/3)^-2 -(1/2)^-2 } / (1/4)^-2

simplify terms, one at a time:

(1/3)^-2  = (1/3)^2 = 1/9

(1/2)^-2  = (1/2)^2 = 1/4

(1/4)^-2 = (1/4)^2 =  1/16  

1/9 - 1/4 = 4/36 - 9/36 = -5/36

-5/36 ÷ 1/16 =  -5/36 · 16/1  =  -20/9

After 8 years, Devon's account balance will be approximately $4,551.24.

In this case, Devon's principal amount is $2,750, his annual interest rate is 6.5%, and the interest is compounded once per year. we can see that we made a mistake in our calculation of the final amount. The correct calculation is:

A = $2,750(1 + 0.065/1)¹ˣ⁸

A = $2,750(1.065)⁸

A = $2,750(1.614)

A = $4,434.49

Since the question provides answer choices that are rounded to the nearest cent, we can see that the closest answer choice to our calculated amount is $4,551.24 (answer choice 1).

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