The cost of a bag of almonds is nine times the cost of an ear of corn. Also, the cost of a bag of almonds equals 40 more than the cost of 5 ears of corn. Find the cost of a bag of almonds.

The length of AD is 1 unit.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Let us solve the question

In Δ ABC

∠B is a right angle

BD is perpendicular to the hypotenuse AC

(AB)² = AD × AC ⇒ rule

AB = 3 units

AC = 9 units

Let AD = x

Substitute them in the rule above

(3)² = x × 9

9 = 9x

Divide both sides by 9

x=1

Hence, the length of AD is 1 unit.

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Question

Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AB = 3 and AC = 9, what is the length of AD? (Note: the figure is not drawn to scale.)

Answer:

x = - 1, 4

Step-by-step explanation:

\(log(x - 1) + log(x - 2) = log \: 2 + log \: 3 \\ \\ log \{(x - 1) (x - 2) \} = log \{2 \times 3 \}\\ \\ log \{ {x}^{2} - 2x - x + 2 \} = log \:6\\ \\ {x}^{2} - 3x+ 2 = 6 \\ \\ {x}^{2} - 3x+ 2 - 6 = 0\\ \\ {x}^{2} - 3x - 4 = 0\\ \\ {x}^{2} - 4x + x - 4 = 0\\ \\ x(x - 4) + 1(x - 4) = 0 \\ \\ (x - 4)(x + 1) = 0 \\ \\ x - 4 = 0 \: \: or \: \: x + 1 = 0 \\ \\ x = 4 \: \: or \: \: x = - 1 \\ \\ x = - 1, \: \: 4\)

Answer:

12 in

Step-by-step explanation:

r = 2.5 in

V = 235.5 in³

Find h

Use V = πr²h

so 235.5 = 3.14 * 2.5² * h

235.5 =  19.625 h

h = 235.5/19.625 = 12 in

Answer:

Step-by-step explanation:

deez buts

Answer:

-51

Step-by-step explanation:

30 - (3 + (-12))^2

30 - (-9)^2

30 - 81

-51

Answer:

Step-by-step explanation:

\(\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}\)

Answer:

3zx-15z+12x-60

Step-by-step explanation:

first do parenthesis and distribute (z+4)(x-5) into zx-5z+4x-20

then distribute the 3 to get the answer

Answer:

A. px125

Step-by-step explanation:

Answer:

3 2/3 can be converted into proper fraction like this

3*3+2←numerator

3 itself ← denominaor

So, we have 11/3

Nearest to 11/3 will be 4

Step-by-step explanation:

Simple, she found the sum of the interior angles not exterior angles.

The exterior angles of any polygon add up to 360 degrees.

What Cindy did was found the total interior angle measure of a hexagon which is 720

Answer:

Step-by-step explanation: $130-$70 lift = $60/$20 per hour= 3 hours ski time

Answer:

651

Step-by-step explanation:

deltamath

Answer:

They are congruent

Step-by-step explanation:

Since both have the same angles and side lengths they are congruent

They would be similar if only they angles were the same and not the side lengths

There are 50 numbers in the lottery, for example, this number would be 50-6, and we would then have one out of that combination.

Let's imagine there are N numbers drawn at random, and I'll assume you're selecting 6.

Until you tell me how many numbers there are in the lottery.

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Answer:

correct choice is the last one

Step-by-step explanation:

let h = cost of 1 hamburger meal

let c = cost of 1 chicken nugget meal

5h + 6c = 39

9h + 2c = 35

Answer:

FH = 35.64

Step-by-step explanation:

(∠A = 360 so the other angle is 40)

By law of cosines,

FH² = AH² + FA² - 2(AH)(FA) * cos(A)

= 30² + 25² - 2(30)(25) * cos(80)

= 900 + 625 - 1500 * 0.17

= 1525 - 255

FH²  = 1270

FH = √1270

FH = 35.64

81 is 3^4, so

\(3^4 \cdot x^4 \cdot \left(y^2\right)^4 = \left(3 \cdot x \cdot y^2\right)^4 = \boxed{\left(3xy^2\right)^4}\)

Step-by-step explanation:

please mark me as brainlist please I

Note that the completed table is given as attached. The constant of proportionality in each case is given as:

a) for Jill, the Constant of Proportionality is 5

b) for Melanie, the constant of Proportionality is 7

The constant of proportionality is the ratio between the two variables, in this case, distance and time. The constant of proportionality represents the rate at which the distance changes with respect to time, and it is equal to the slope of the linear function.

a) The constant of proportionality in this case is the speed at which the person is traveling, which is 5 miles per hour. In the linear function that represents the distance traveled by the person, the constant of proportionality is the slope, which is equal to 5.

b) For melanie, the constant of proportionality is 7, which represents the rate at which the distance changes with respect to time.

To derive the rates, we first developed a Linear Function which is written in the form: y = mx + b.

The slope of the linear function represents the rate of change, or speed, at which the person is traveling. Since the person is traveling at a constant speed of 15 miles in three hours, the speed can be calculated as:

Speed = Distance / Time

= 15 miles / 3 hours

= 5 miles per hour

Therefore, the slope of the linear function is m = 5.

The y-intercept of the linear function represents the starting point or initial value. Since we don't have information about the starting point, we can assume that the person starts at zero miles, so the y-intercept is b = 0.

Putting this together, the linear function that represents the distance traveled by the person after t hours can be written as:

y = 5t + 0; or y = 5x + 0

⇒ y = 5x.

We applied the same principle to Melanie's case, and we arrived at:

y = 7x

In each case, were x (or t) is the time in hours. Plugging in the values of x on the table will result in the corresponding value of y.

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Full Question:

See the attached image.

Answer: 800 - 25w = 1400

Step-by-step explanation:

What is there to edplain??

Answer:

800+25w=1400

Step-by-step explanation:

took the test

Answer:

Simplify = 7x/6 - 3/28

Reciprocal = 6x/7 - 28/3

Step-by-step explanation:

Add x to the top of the first fraction to combine them.

To find the reciprocal you flip the numbers. So the numerator is the bottom and the dominator is the top.

Answer:

= \(\frac{1}{6}\) (7 + s) + ( 2 × q )

I'm pretty much sure that this is correct.

Answer:

z=4 p=20 m=8 y=23 b=29 d=1

Step-by-step explanation:

You do the reverse to find out what the variable(hidden #) is

z because 10-6=4

p because 15+5=20

m because 12-4=8

y because 19+4=23

b because 12+17=29

d because 3-2=1

If this is wrong I'm sorry.

Answer:*

Step-by-step explanation:

Given Information:

Mean weekly salary = μ = $490

Standard deviation of weekly salary = σ = $45

Required Information:

P(X > $525) = ?

Answer:

P(X > $525) = 21.77%

Step-by-step explanation:

We want to find out the probability that a randomly selected teacher earns more than $525 a week.

\(P(X > 525) = 1 - P(X < 525)\\\\P(X > 525) = 1 - P(Z < \frac{x - \mu}{\sigma} )\\\\P(X > 525) = 1 - P(Z < \frac{525 - 490}{45} )\\\\P(X > 525) = 1 - P(Z < \frac{35}{45} )\\\\P(X > 525) = 1 - P(Z < 0.78)\\\\\)

The z-score corresponding to 0.78 from the z-table is 0.7823

\(P(X > 525) = 1 - 0.7823\\\\P(X > 525) = 0.2177\\\\P(X > 525) = 21.77 \%\)

Therefore, there is 21.77% probability that a randomly selected teacher earns more than $525 a week.

How to use z-table?

Step 1:

In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 0.7, 2.2, 1.5 etc.)

Step 2:

Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 0.78 then go for 0.08 column)

Step 3:

Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.

The length of the arc on a circle of mentioned radius intercepted by the central angle is 3π feet.

The formula to calculate the arc angle from radius and central angle is simply by finding their product. The formula for arc length is -

S = r×theta, where r is radius and theta is the central angle

Now we are given angle in degree and we need to convert it in radian. So the formula is -

Central angle = 60 × π/180

Central angle = π/3 radians

Keep the values in formula

S = 9 × π/3

Performing division

S = 3π

Thus, the arc length is 3π.

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Using the Chain Rule, we have: dy/dx = f'(g(x)) * g'(x) = 1 * 1 = 1.The derivative of y with respect to x is 1.

When we compose a function, it may be possible to write it in a variety of different ways. Differentiating such functions can result in different derivatives, but the Chain Rule indicates that the derivatives of the compositions should be the same regardless of how the function is written, if the function is continuous and differentiable.For instance, consider the function f(x) = sin(x²). It can be written as f(g(x)) where g(x) = x² and f(x) = sin(x). Furthermore, it can be written as f(h(x)) where h(x) = x² and f(x) = sin(x). These are both compositions of functions, but they are different compositions that lead to different derivatives.However, if the function is a composite of differentiable functions, the Chain Rule tells us that the derivative of a composite function is the derivative of the outer function multiplied by the derivative of the inner function.

To find dy/dx if y = x using the Chain Rule with y as a composite of the following functions, we must first rewrite y as a composite function: y = f(g(x)) where g(x) = x and f(x) = x. This composite function can be written in a variety of different ways, such as y = f(h(x)) where h(x) = x and f(x) = x, or y = f(k(x)) where k(x) = x and f(x) = x. However, regardless of how we write it, the Chain Rule tells us that the derivative of y is equal to the derivative of the outer function (f(x) = x) multiplied by the derivative of the inner function (g(x) = x).

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