in an equilateral triangle, the sides are 10 inches. what is the length of the height (the altitude)?

Maybe thats the answer

Step-by-step explanation:

2x20=40

In order to establish a two-element set with each element being a positive integer smaller than 95, there are thus 4371 possible combinations.

Combinations are defined by the following formula: C(n, r) = n! / (r! * (n-r)!)

Where n is the overall number of things and r denotes the number of items to be picked at random.

Without respect to order, we must select 2 elements from a possible total of 94. As a result, we can use the following formula to apply the rule: C(94, 2) = 94! / (2! * (94-2)!) = (94 * 93 * 92 *... * 3 * 2 * 1) / [(2 * 1) * (92 * 91 *... * 3 * 2 * 1)]

= (94 * 93) / (2 * 1) = 4371

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There are 64000 distinct combinations .

The dial for the standard combination lock is fastened to a spindle. The spindle travels through many wheels and a drive cam inside the lock. Every number has one wheel, hence the number of wheels in a wheel pack depends on how many numbers are in the combination.

The lock uses the numbers 0 to 39 and has 64,000 distinct combinations.

How many possible three-number combinations are there?

You have 10 options for the first digit, 9 options for the second digit, and 8 options for the third digit, giving you 10x9x8 = 720 if you want all three possible numbers with no duplication of the digits.

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Answer:

4.61*10^7

Step-by-step explanation:

There are 7 places we need to show.

central angle Θ  of the circle is equal to =  3.6633333 radian

While a radian is another unit of measurement that is used to measure angles, a degree is a unit of measurement that is used to measure circles, spheres, and angles. The radian, or one pi radian, is only half the diameter of a circle, which has 360 degrees, or its entire area.

central angle of the circle is equal to = (14 * 3.14 )/12

                                                              = 3.6633333 radian
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Answer: I am bad at math, but I'd say _> is the sign...

Step-by-step explanation:

elloooo

9514 1404 393

Answer:

  m∠CAB = 62°

  m∠CBG = 114°

Step-by-step explanation:

Given:

  the above figure

Find:

  What are the measures of angles CAB and CBG

Solution:

The total angle at C is 32°+52° = 84°. We know that "remote interior" angles ECB and EBE have a sum that matches angle CEF.

So, angle CBE = 150° -84° = 66°

Angle CBG is the supplement of this, so is ...

  m∠CBG = 180° -66° = 114°

That angle is the total of "remote interior" angles BCA and CAB. So angle CAB is ...

  m∠CAB = 114° -52° = 62°

On solving the provided question, we can say that - here in the given equation we got x- 1 = 0; x = 1, y = 2

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

y = 2x +1

y = 3x - 1

x- 1 = 0

x = 1, y = 2

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You have the following function:

As you can notice, the function does not have exponentials, logarithms, denominators and roots. Then there are no restrictions to the domain of the function neither the range of the function.

The range are all real numbers. In interval notation is:

(-∞,∞)

answer: (-∞,∞)

g value means that the object is experiencing an acceleration that is twice the acceleration due to Earth's gravity.

The "g value" or "g-force" is a measure of the acceleration or deceleration experienced by an object. It is defined as the ratio of the acceleration of the object to the acceleration due to Earth's gravity, which is approximately 9.8 m/s^2.

To calculate the g value of an object, you can use the following formula:

g value = acceleration of the object / acceleration due to gravity

For example, if an object experiences an acceleration of 19.6 m/s^2, the g value can be calculated as follows:

g value = 19.6 m/s^2 / 9.8 m/s^2 = 2 g

This means that the object is experiencing an acceleration that is twice the acceleration due to Earth's gravity.

It's important to note that the g value is a unitless quantity, so the units of the acceleration of the object and the acceleration due to gravity must be the same in order to obtain a correct result.

Therefore,  g value means that the object is experiencing an acceleration that is twice the acceleration due to Earth's gravity.

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Answer:

1/4 or 0.25 of a lemon is being used per cup

Step-by-step explanation:

a) Null Hypothesis: H₀: P>0.22

Alternative hypothesis: H₁:P<0.22

b) Test statistic  Z = 2.5

The sample size is n = 1100.

Given the information, political research selected 1100 voters from the town and discovered that 25% of the citizens supported the building.

Given sample percentage "p" = 25% = 0.25, this follows.

A campaign strategist decided to check the assertion that more than 22% of people support building based on available data.

Assuming Population Proportion 'P' = 22% = 0.22

Q = 1 - p = 1 - 0.22=0.78

Given the available information, a political strategist wishes to test the assertion that more citizens prefer building than 22%, thus we assume the null hypothesis is true.

Null Hypothesis: H₀: P > 0.22

Alternative hypothesis: H₁: P < 0.22

The test of statistic

Z = (p - P) ÷ √(PQ ÷ n)

Z = (0.25 - 0.22) ÷ √(0.22 × 0.78 ÷ 1100)

Z = 2.5

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Answer:

840

Step-by-step explanation:

7000×2×6 ÷ 100. since it is 2%

= 840

A. The equations for the amounts of money Lyle and Shaun have in their accounts are represented as:

f(x) = 20x + 100

g(x) = 10x + 500

B. When f(x) = g(x), x = 40.

A linear equation can be written in slope-intercept form y = mx + b. Here, the value of m is the unit rate or slope, while the value of b is its y-intercept or initial value.

Part A:

Equation for Lyle:

y-intercept / initial value (b) = $100

Slope / unit rate (m) = $20

To write the equation, substitute m = 20 and b = 100 into f(x) = mx + b:

f(x) = 20x + 100.

Equation for Lyle:

y-intercept / initial value (b) = $500

Slope / unit rate (m) = $10

To write the equation, substitute m = 10 and b = 500 into g(x) = mx + b:

g(x) = 10x + 500.

Part B: To solve the system, we would do the following:

20x + 100 = 10x + 500

20x - 10x = -100 + 500

10x = 400

x = 400/10

x = 40

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Answer:

425

Step-by-step explanation:

hope this helps. pls give brainliest.

After 3 hours, the boat is approximately 16.43 miles from the marina, and the bearing from the boat back to the marina is approximately 209.9°

We have,

To solve this problem, we can break down the boat's motion into two components: north-south displacement and east-west displacement.

Given:

The boat travels due south for 1 hour at a constant speed of 15 mph.

The boat then changes course to a bearing of S47°E and travels for 2 hours at the same constant speed of 15 mph.

a.

To find how far the boat is from the marina after 3 hours, we need to calculate the total displacement using the Pythagorean theorem.

First, let's find the north-south displacement:

Distance = Speed x Time = 15 mph x 1 hour = 15 miles

Next, let's find the east-west displacement using the given bearing:

Angle of S47°E = 180° - 47° = 133°

Using trigonometry, we can find the east-west displacement:

East-West Displacement = Distance x cos(Angle) = 15 miles x cos(133°)

Now, let's calculate the total displacement:

Total Displacement = √(North-South Displacement² + East-West Displacement²)

b.

To find the bearing from the boat back to the marina, we can use trigonometry to calculate the angle between the displacement vector and the north direction.

Let's calculate the values:

a. North-South Displacement = 15 miles

b. East-West Displacement = 15 miles x cos(133°)

c. Total Displacement = sqrt(North-South Displacement² + East-West Displacement²)

b. Bearing = atan(East-West Displacement / North-South Displacement) + 180°

Now, let's perform the calculations:

a. North-South Displacement = 15 miles

b. East-West Displacement = 15 miles x cos(133°) ≈ -6.83 miles (rounded to two decimal places)

c. Total Displacement = √(15² + (-6.83)²) ≈ 16.43 miles (rounded to two decimal places)

b.

Bearing = atan(-6.83 / 15) + 180° ≈ 209.9° (rounded to one decimal place)

Therefore,

After 3 hours, the boat is approximately 16.43 miles from the marina, and the bearing from the boat back to the marina is approximately 209.9°

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Answer:

128

Step-by-step explanation

Turn 40% into a decimal by placing a decimal point 2 places to the left making it 0.40. Then, calculate using 320 multiplied by 0.40 which is 128.

Answer:

the answer is 128.

40% of 320 = 128 :)

In order to move the graph 3 units to the left, then g(x) = (1/2)⁽ˣ⁺³⁾.

When a positive constant other than 1 is raised to a variable exponent, the function is said to be exponential. Solving at a certain input value yields the evaluation of a function. If you know the growth rate and the starting point, you can find an exponential model.

When a constant is added to the exponent of a constant in the case of exponential functions, the graph is shifted. The first formula, f(x), is:

f(x) = (1/2)ˣ

When horizontal shifting is occurring, the equation be:

y = Cˣ⁺ᵃ

If an is greater than zero, the graph shifts to the left by a number of units. The graph swings to the right and by an amount equal to a units if an is negative. In order to move the graph 3 units to the left, then:

g(x) = (1/2)⁽ˣ⁺³⁾

Therefore, the correct answer is option B. g(x)=1/2^x+3

The complete question is:

The graph of g(x) is the result of translating the graph of f(x) = three units to the left. What is the equation of g(x)?

A. g(x)=1/2^x-3

B. g(x)=1/2^x+3

C. g(x)=1/2^x -3

D. g(x)=1/2^x +3

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Answer:

Hello,

Step-by-step explanation:

\(Factorizing \ the\ expression\ \\56s+8=7*8*s+1*8=8(7*s+1)\\\)

The solution to the given differential equation as required is; y = √(x² + 4).

As evident in the task content;

dy / dx = x / y, y(0) = -2

Therefore, we have that;

dy (y) = dx (x)

By integration of both sides indefinitely;

y² / 2 = x²/2 + C

y² = x² + 2c

y = √(x² + 2c)

Hence, using the initial conditions;

-2 = √(0² + 2c)

-2 = √2c

2c = 4

c = 2.

Hence, the required solution of the differential equation as given is; y = √(x² + 4) since c = 2.

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After analysing the given data we conclude that the measure of <ABD is 117 degrees, under the condition that <ABC has a measure of 40°.

Now in order to evaluate the angle we have to relie on the principles of angle to derive a formula
The formula is
180 - ( remaining angles) = ( unknown angle)
Now, to find the measure of <ABD, we can apply the fact that the sum of the angles in a triangle is 180 degrees. It is known that <ABC has a measure of 40 degrees and <CBD has a measure of 23 degrees. Since <ABC and <CBD share a ray, we can add their measures to get the measure of <ABD.
Placing the values in the formula
Therefore,
<ABD = 180 - 40 - 23
= 117 degrees.
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Answer:

V = 5,324 in^3

Step-by-step explanation:

V = 4(\(\pi\)r^3)/3

= 4(3)(11^3)/3

= 12(11)(11)(11)/3

= 12(1,331)/3

= 15,972/3

V = 5,324 in^3

Answer:

5575.28 or 5,324 depending on use of pie.

Step-by-step explanation

V=4/3πr3=4/3·π·113≈5575.27976

Hope this helps :)!

This is the answer if pie is used as 3.14.

V = 5,324 in^3 if pie used as 3.

V = 5575.28 in^3 if pie used as 3.14.

Answer:

\(\huge\boxed{\bf\:(x + 2y)^{2} - 3}\)

Step-by-step explanation:

\(x ^ { 2 } +4xy-3+4y ^ { 2 }\)

Rearrange the terms.

\(x ^ { 2 } +4xy+4y ^ { 2 } - 3\)

Here, x² + 4xy + 4y is in the form of the algebraic identity ⟶ x² + 2xy + y² = (x + y)². Then, here, x = 1 & y = 2y.

\((x + 2y)^{2} - 3\)

Leave 3 as it is as 3 can't be further simplified. So, the final answer is:

\(\boxed{\bf\:(x + 2y)^{2} - 3}\)

\(\rule{150}{2}\)

Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.

Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.

Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.

Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.

Three specific brand name products in the consumer marketplace that correspond to these types of purchases are

Convenience Purchase: Coca-Cola (Soft Drink)

Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.

With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.

Shopping Purchase: Apple iPhone (Smartphone)

The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.

The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.

Specialty Purchase: Rolex (Luxury Watches)

Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.

Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.

These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.

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This is consistent with the initial purchase price of 40 bags at 25 pesos each.

Be "x" the quantity of coffee bags purchased and "p" the price per bag in pesos.

We know that "x" coffee bags were purchased at $1,000.00, which leads to the following equation:

x * p = 1000.00

We also know that if they had purchased an additional 10 bags, each bag would have cost $5.00 less. Hence, each coffee bag would cost "p - 5" pesos if we purchased "x + 10" bags of coffee. This leads to the following equation:

(x + 10) * (p - 5) = 1000.00

We can remove the letter "p" from the first equation:

p = 1000.00 / x

After that, we may simplify the second equation by substituting "p":

(x + 10) * (1000.00 / x - 5) = 1000.00

Adding "x" to both sides of the equation yields the following results:

(x + 10) * 1000.00 - 5x * (x + 10) = 1000.00 * x

By enlarging and simplifying, we arrive to a quadratic equation in "x":

10000.00 - 50x + 10000.00 = 1000.00x

1000.00x + 50x - 20000.00 = 0

By solving this equation, we obtain:

x = 40

Hence, 40 coffee bags were purchased for the price of:

25 pesos each sac is equal to p = 1000.00 / 40.

We can figure out the entire cost of the purchase to make sure this solution is correct:

40 * 25.00 = 1000.00

If they had purchased an additional 10 bags for the same money, the cost of each bag would have been:

(p - 5) = 25.000 - 5.000 = 20.000 pesos per sac

And the entire cost of the purchase had been:

50 * 20.00 = 1000.00

Exactly what was paid for the 40 bags at a cost of 25 pesos each in the original purchase. Hence, the answer is the right one.

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When a child is confronted in front of his parents about stealing cookies from Jar, the function used is substituting function.

The substituting function replaces verbal communication. The primary role of bodily structure in substituting function is Nonverbal communication includes substituting.

Thus, the above statement is a example of nonverbal communication's replacing function, as the child is confronted by his body language in front of a parent when he steals the cookies.

Communication is a continual process that consists primarily of three components: sender, message, and recipient.

verbal communication:

Oral communication is communication that occurs by verbal, verbal, or written communication that delivers or conveys a message to others. The use of language to convey information vocally or in sign language is known as verbal communication.

non- verbal communication:

It can happen with signs, symbols, colors, touches, body parts, or face features. Insignificant communication is the use of body language, facial expressions, and body language to send information to another. It can be used both purposefully and unintentionally. For example, when you hear an idea or a piece of new or exciting information, you may smile.

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The inverse of f(c) is f⁻¹(c) = 5(c-32)/9.

What is an inverse function?

A function that reverses the effects of another function is called an inverse function. When y=f(x) and x=g, a function g is the inverse of a function f. (y). Applying f and then g is equivalent to doing nothing, in other words. This can be expressed as g(f(x))=x in terms of the relationship between f and g.

Here, we have

Given: Inverse function f(c) = 9/5c+32

We let f(c) = y

y = 9/5c+32

c = 9/5y+32

Now, we are minus 32 on both sides and we get

c-32 = 9/5y

Now, we divide both sides by 5/9 and we get

5(c-32)/9 = y

f⁻¹(c) = 5(c-32)/9

Hence, the inverse of f(c) is f⁻¹(c) = 5(c-32)/9.

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The probability that a child is not allergic to nuts is 0.986, or 98.6%.

The probability that a child is not allergic to nuts can be calculated by subtracting the probability of being allergic to nuts from 1.

Given the probabilities of a child being allergic to nuts, dairy, and gluten, we are interested in finding the probability that a child is not allergic to nuts.

The probability of being allergic to nuts is given as 0.014.

To find the probability that a child is not allergic to nuts, we subtract this value from 1.

P(Not allergic to nuts) = 1 - P(Allergic to nuts) = 1 - 0.014 = 0.986

Therefore, the probability that a child is not allergic to nuts is 0.986, or 98.6%.

This calculation is based on the assumption that being allergic to nuts and being allergic to other foods are independent events.

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>-<

:)

༼ つ ◕_◕ ༽つ

(/▽＼)

(o゜▽゜)o☆

Answer:

yeah B

Step-by-step explanation: