Find the lateral area of the following
cone. Leave your answer in terms of pi.
12 cm
5 cm
LA = [?]π cm²
Hint: Lateral Area of a Cone = Tre
Where & slant height

Answer:

ΔABC and ΔDEF are similar by (AA).

option (2)

Step-by-step explanation:

Here to test if the two triangles are similar based on the information given I will attempt to see if they are similar using

Angle-Angle (AA) Similarity Theorem: If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar.

Δ = 180°

therefore using the givens:

m∠CAB = 18°

m∠ABC = 110°

m∠ACB = 180°-110°-18° = 52°

now for ΔDEF

because we know corresponding parts of similar triangles are proportional

∠DEF  ≅  ∠CAB

and because m∠ACB = 52° and m∠FDE = 52°

∠FDE  ≅  ∠ACB

Therefore by AA, we have proven that these two triangles ΔABC and ΔDEF are similar.

so option (2)

Answer:

if she worked 2h it would be 2×12 for the hourly charge which would be 24and then the 24+6where 6 is the base charge.

Step-by-step explanation:

The intial few would be 6.as we can see in the equation

f(t)=6+12t

t would be the amount of hours and 12 is the rate per hour.

It will take approximately 25 years for $7,000 to double in an account that pays 2.8% simple interest.

The 70 rule is a helpful shortcut for calculating the number of years it will take an investment to double in value using simple interest. The formula is 70 divided by the interest rate.

In this case, we have an interest rate of 2.8%, so we can calculate that it will take approximately 70/2.8 = 25 years for $7,000 to double in value. It's important to note that this rule assumes the interest rate remains constant over the entire period, which may not always be the case in real-world investments.

Read more about Simple Interest

brainly.com/question/25793394

#SPJ1

The sixth and seventh letters "NO" become the 15th and 14th letters in the alphabet respectively when shifted by 11 positions, decrypt to "E" and "N" respectively. Therefore, the decrypted plaintext is "CSPAEN".

what is decrypted plaintext ?

The decrypted plaintext is the original message that was encrypted using a cipher, which has now been converted back to its original form using the appropriate decryption technique.

In the given question,

The given ciphertext "ZYJGKNO" can be decrypted using a times-11 cipher as follows:

The first letter "Z" becomes the third letter in the alphabet when shifted by 11 positions, so it decrypts to "C".

The second letter "Y" becomes the 24th letter in the alphabet when shifted by 11 positions, so it decrypts to "T".

The third letter "J" becomes the 18th letter in the alphabet when shifted by 11 positions, so it decrypts to "S".

The fourth and fifth letters "GK" become the 16th and 10th letters in the alphabet respectively when shifted by 11 positions, so they decrypt to "P" and "A" respectively.

The sixth and seventh letters "NO" become the 15th and 14th letters in the alphabet respectively when shifted by 11 positions, so they decrypt to "E" and "N" respectively.

Therefore, the decrypted plaintext is "CSPAEN".

To know more about decrypted plaintext, visit:

https://brainly.com/question/30876277

#SPJ1

Answer:

Step-by-step explanation:

The highest point of a normal curve, also known as a Gaussian distribution or bell curve, always occurs at the mean. This is because the normal curve is symmetrical around the mean, with the same number of values on either side of the mean. Therefore, the peak of the curve must be directly above the mean.

The standard deviation is a measure of how spread out the values in a distribution are. For a normal distribution, approximately 68% of the values fall within one standard deviation of the mean, 95% fall within two standard deviations of the mean, and 99.7% fall within three standard deviations of the mean. Therefore, while the highest point of the normal curve occurs at the mean, the curve does extend out to both sides of the mean, with the height of the curve gradually decreasing as the distance from the mean increases.

Specifically, the point at which the curve begins to flatten out on either side of the peak is approximately one standard deviation away from the mean. At two standard deviations away from the mean, the curve has flattened out significantly, and at three standard deviations away from the mean, the curve is almost entirely flat. This is known as the empirical rule, or the 68-95-99.7 rule.

Understanding the normal curve and its characteristics is important in statistics and data analysis, as many real-world phenomena can be approximated using a normal distribution. By knowing the mean and standard deviation of a distribution, we can make predictions about the likelihood of various outcomes occurring.

for such more question on mean

https://brainly.com/question/14532771

#SPJ11

The correct options for the given rational numbers are (a) ii and iv.

P/Q is the format for rational numbers, where p and q are open-ended integers and q 0. The natural numbers, whole numbers, integers, fractions of integers, and decimals are all examples of rational numbers.

To compare the rational numbers, we need to perform the given operations and determine their relative magnitudes:

i. -2.3 - 1.3 = -3.6

ii. -2.3 -1.3 = -3.6

iii. -2.3 > -3.3

iv. -2.3 -3.3 = -5.6

Comparing i and ii, we see that they are equal. Therefore, both options i and ii are true.

Comparing iii, we see that -2.3 is greater than -3.3. Therefore, option iii is true.

Comparing iv, we see that -5.6 is less than both -2.3 and -3.3. Therefore, option iv is false.

So, the correct options are (a) ii and iv.

Learn more about rational numbers on:

https://brainly.com/question/17572421

#SPJ1

Answer:

y = -5x + 14 is the correct equation.

Answer:

P = 11 + (1/2)π(11) = 11 + 5.5π = 28.279 cm

Letting π = 3.142:

P = 11 + (1/2)(3.142)(11) = 28.281 cm

Therefore , the solution of the given problem of unitary method comes out to be option C The lengths of side an are 2.5 inches, side b is 5 inches, and side c is 13 inches.

Use the tried-and-true fundamental method, the real variables, and any useful information you learn from the broad and specific questions to complete the assignment. Customers may be given another chance to taste expression the products in response. If these improvements don't happen, we'll lose out on significant expression advances in programming understanding.

Here,

We may calculate the side lengths of the physical object using the following formulae given the scale factor of 2:1:

Drawing to scale: Side a: 11 inches

8 inches on side B.

3 inches on side C.

real thing

11 inches by two equals 22 inches on side a.

Side B: 8 inches times two equals 16 inches

3 inches by 2 equals 6 inches on side C.

B. Side a: 26 inches in the scale drawing.

20 inches on side B.

10 inches on side C.

real thing

Side a: 2 times 26 inches equals 52 inches.

Side B: 20 inches times two equals 40 inches

20 inches are equal to 10 inches on side C.

C. Side a: 2.5 inches in the scale drawing.

5 inches on side B.

6.5 inches on side C.

real thing

2.5 x 2 = 5 inches on side a.

Side B: 5 inches times two equals 10 inches

6.5 inches by two equals 13 inches on side C.

So, the appropriate response is:

C. The lengths of side an are 2.5 inches, side b is 5 inches, and side c is 13 inches.

To know more about unitary method  visit:

https://brainly.com/question/28276953

#SPJ1  

Step-by-step explanation:

Tan 20 = 50 / d

d =  50 / tan 20   = 137 m

Answer:

A. 2

Step-by-step explanation:

Let's interpret the function.

First, let's look at the top section:

[tex]f(x)=x+2[/tex] if [tex]x < 1[/tex]

So, if the value of x is less than 1, to find f(x), we should add 2 to x.

Let's check if x is less than 1:

[tex]x=3\\x < 1\\3 < 1[/tex]

3 is not less than one, so to find f(x), we cannot add 2 to x.

The second part of the function is:

[tex]f(x)=x-1[/tex] if [tex]x\geq 1[/tex]

So, if the value of x is greater than or equal to 1, to find f(x), we should subtract 1 from x.

Let's check if x is greater than or equal to 1:

[tex]x=3\\x\geq 1=\\3\geq 1[/tex]

3 is greater than or equal to 1, so to find f(x), we should use x-1.

[tex]x-1=\\3-1=\\2[/tex]

Thus, f(3) = 2; the answer is A.

Answer:

x=7.9*tan(54°)=10.87

The probability that Claire spinning an 8 is around 0.078, or 7.8%.

We may use the strategy of calculating favorable results over total outcomes to get the likelihood that Claire spins a sum of 8. We must specifically determine how many possibilities there are to reach a sum of 8 when spinning the two spinners and divide that number by the total number of possible outcomes.

To illustrate, we can use a table to display all of the possible results for spinning two spinners labeled 1-8, and then compute the sum of each outcome:

There are 64 possible outcomes (8 spinners 1 choice times 8 spinner 2 choices), and we can see that there are 5 methods to reach a sum of 8: (2,6), (3,5), (4,4), (5,3), and (6,2). As a result, the likelihood of getting an 8 is:

P(sum of 8) = number of favorable outcomes / total number of outcomes

            = 5 / 64

            = 0.078125

So the likelihood of Claire spinning an 8 is around 0.078, or 7.8%.

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ1

Answer:10g-3

Step-by-step explanation:

Answer:

g=0.5

Step-by-step explanation:

2(5—1)=3

10g—2=3

10g—2+2=3+2

10g=5

10g/10=5/10

g=0.5

Answer:

PEMDAS. Division first. 68/5 is 13.6. Subtract 13.6 from 23 and the answer is 9.4. Therefore J = 9.4

Step-by-step explanation:

Sue statement that each piece of pizza has an angle measure of 30º is  incorrect

Assuming the pizza is circular, we know that the total angle measure of a circle is 360 degrees.

If we cut the pizza into halves, we have two equal pieces, each with an angle measure of 180 degrees.

If Sue and her 4 friends share half a pizza, they are sharing one of these equal pieces.

If we divide the 180 degree angle of the piece of pizza by 5 (Sue and her 4 friends plus Sue herself), we get an angle measure of 36 degrees, which is what Sue believes.

Therefore, Sue is incorrect.

Read more about proportion at

https://brainly.com/question/1781657

#SPJ1

The height above the bottom of the canyon at the end of his jump is 385 feet.

we have,

Canyon depth = 400 feet

Trevor's height= 6 feet

cord length = 9 feet

So, Trevor height to end of jump is

= 400 - (9+6)

= 400 - 15

= 385 feet

Learn more about Integers here:

https://brainly.com/question/15276410

#SPJ1

We can predict that out of 200 repetitions of the experiment, approximately 75 of them will result in exactly 2 of the 3 flips landing on tails.

Probability is a branch of mathematics that deals with the study of random events and the likelihood of their occurrence. It is used to quantify the uncertainty associated with a particular event or outcome. In simpler terms, probability is a measure of the likelihood that a certain event will occur, expressed as a number between 0 and 1, where 0 indicates that the event is impossible and 1 indicates that the event is certain.

There are different types of probability, including classical probability, empirical probability, and subjective probability. Classical probability is based on the assumption of equally likely outcomes, while empirical probability is based on actual observations or experiments. Subjective probability, on the other hand, is based on personal judgment or belief.

The probability of getting tails on any single flip of a fair coin is 1/2. Since we are flipping the coin three times, the probability of getting exactly two tails is given by the binomial probability formula:

P(exactly 2 tails) = (number of ways to get 2 tails out of 3) * (probability of getting tails)² * (probability of getting heads)¹

The number of ways to get 2 tails out of 3 is given by the binomial coefficient "3 choose 2", which is 3. So we have:

P(exactly 2 tails) = 3 * (1/2)² * (1/2)¹ = 3/8

This means that the probability of getting exactly 2 tails in one trial of flipping the coin 3 times is 3/8.

To predict the number of repetitions out of 200 that will result in exactly 2 tails, we can multiply the probability of getting exactly 2 tails in one trial by the total number of trials:

Number of repetitions with exactly 2 tails = P(exactly 2 tails) * total number of trials

Number of repetitions with exactly 2 tails = (3/8) * 200

Number of repetitions with exactly 2 tails = 75

Therefore, we can predict that out of 200 repetitions of the experiment, approximately 75 of them will result in exactly 2 of the 3 flips landing on tails.

To know more about repetitions visit:

https://brainly.com/question/30849011

#SPJ1

The rounded number to 1 significant figure is 10000m.

Significant figures are a way of indicating the precision of a measurement or calculation. They represent the digits in a number that are known with certainty, plus one additional digit that is estimated. The rules for determining significant figures include:

Significant figures are important because they allow us to communicate the accuracy and precision of a measurement or calculation. By using the appropriate number of significant figures, we can avoid misleading others with inaccurate or imprecise information.

To learn more about significant figures, here

https://brainly.com/question/29153641

#SPJ1

If on Tuesday, Friday,  Saturday, and Sunday, she collected 43 cans each day. Tina got $14.15 for her cans last week.

Tina collected 37 cans on Monday, Wednesday, and Thursday, which is a total of 37 x 3 = 111 cans. She collected 43 cans on Tuesday, Friday, Saturday, and Sunday, which is a total of 43 x 4 = 172 cans. The total number of cans she collected last week is 111 + 172 = 283 cans.

Since Tina gets 5 cents for every can she recycles, she made 5 x 283 = $14.15 for recycling all of the cans she collected last week.

Therefore, Tina got $14.15 for her cans last week.

To learn more about cans click on,

https://brainly.com/question/14132442

#SPJ4

Complete question is:

Tina collects cans to recycle at the supermarket. Last week, on Monday, Wednesday and Tursday, she collected 37 cans each day. On Tuesday, Friday,  Saturday, and Sunday, she collected 43 cans each day. Tina gets 5 cents for every can she recycles.  How much money did Tina get for her cans last week?

The Results:

a) The measure of ∠BDC = 67°

b) The measure of arc DAC = 46°

a) The measure of ∠BDC

Since DC ⊥ AB, ∠DCB is a right angle, which means it measures 90°. Also, given that m∠DCB = 23, we can use the fact that the angles in a triangle sum to 180° to find ∠DBC.

∠DBC + ∠DCB + ∠B = 180 (angles in a triangle sum to 180)

∠DBC + 90 + 23 = 180 (substituting values)

∠DBC = 180 - 90 - 23 = 67°.

Thus, the measure of ∠BDC = 67°

b) The measure of arc DAC:

Since AB = AC, it implies that ∠ABC = ∠ACB (angles opposite to equal sides of an isosceles triangle are equal). Therefore, ∠ACB is also 23°.

Now, since ∠ACB is an inscribed angle that intercepts the arc DAC, the measure of the arc DAC is twice the measure of ∠ACB.

Arc DAC = 2 × ∠ACB = 2 × 23 = 46°.

Therefore, the measure of arc DAC is 46°.

Learn more about arc at brainly.com/question/28108430

#SPJ1

Answer:

20 miles

Step-by-step explanation:

1 hr= 2.8 miles

7hrs=2.8×7

2.8×7= 19.6

19.6 to 1dp is 20

#3

Water slides are overrated and roller coasters are dangerous, id rather check out the vr

If the degree of freedom is 24, your sample size when conducting a t-test for dependent means must be 25. Option C is the correct answer.

The sample size when conducting a t-test for dependent means depends on the specific study design and the level of significance desired, and cannot be determined solely based on the degrees of freedom.

However, if we assume that the sample size is equal for both groups, then the formula to calculate the degrees of freedom for a t-test for dependent means is:

df = n - 1

Where "n" is the number of pairs of observations in the sample.

Therefore, if the degree of freedom is 24, then the number of pairs of observations in the sample would be:

n = df + 1 = 24 + 1 = 25

Hence, the answer is 25.

Learn more about the degrees of freedom at

https://brainly.com/question/31178740

#SPJ4

The unit price for a piece of cheese is $0.11 per pound.

To find the unit price, we need to divide the total cost by the total weight. In this case, we have 1.24 pounds of cheese that costs $11.25.

So, we can set up a proportion

1.24 pounds / $11.25 = x pounds / $1

To solve for x, we can cross-multiply

1.24 pounds * $1 = $11.25 * x pounds

1.24 = $11.25 * x

x = 1.24 / $11.25

x = 0.11

So, the unit price is $0.11 per pound.

To know more about unit price:

https://brainly.com/question/10706678

#SPJ4

Hence, after 40 years, Davey will have $1,476,289.64 in his retirement account as n = the number of cycles.

A problem-solving strategy known as the unitary technique is determining the worth of one unit of such a quantity and utilising that value to determine the value of an other number of units related to that quantity. For issues where the price of one unit is given and the value of some other quantity is needed, it is a proportionality strategy. The unitary method's fundamental principle is to establish a ratio between two numbers, where one of the numbers is represented in the form of one unit while the other quantity is defined in terms of a greater number of units.

given

If Davey doesn't add any more money to his retirement account for the next 20 years, it will increase to:

[tex]FV = P * (1 + r)^n[/tex]

where FV is the lump sum's future value

P is the lump sum's present value, which in this example is $214,111.26.

R is the annual interest rate, which in this case is 9.35%.

n = the number of cycles (in this case, 20 years)

The following equation can be used to determine Davey's retirement account's potential value after 40 years:

[tex]FV = 214,111.26 * (1 + 0.0935)^20 = $1,476,289.64[/tex]

Hence, after 40 years, Davey will have $1,476,289.64 in his retirement account as n = the number of cycles.

To know more about unitary method visit:

https://brainly.com/question/28276953

#SPJ1

Answer:

-8.5 and 7.5

Step-by-step explanation:

Let's call the two numbers x and y. We know that their difference is 16, so we can write:

x - y = 16 or x = y + 16

We want to find the values of x and y that minimize the expression:

x + y + xy

Substituting x = y + 16, we get:

(y + 16) + y + (y + 16)y

Simplifying and expanding, we get:

y^2 + 17y + 16

To minimize this expression, we can take its derivative with respect to y and set it equal to 0:

d/dy (y^2 + 17y + 16) = 2y + 17 = 0

Solving for y, we get:

y = -8.5

Substituting y = -8.5 into x = y + 16, we get:

x = 7.5

Therefore, the two numbers with a difference of 16 such that the result of adding their sum and their product is a minimum are -8.5 and 7.5.

Century's final payment will be on May 06 is $4,028.

Total cost of televisions:

51 TVs at $100 each = $5,100

8% discount = $100 x 8% x 10 = $80

5% discount  = $100 x 5% x 10 = $50

5% discount  = $100 x 5% x 31 = $155

Total discount = $80 + $50 + $155 = $285

Cost after discount = $5,100 - $285 = $4,815

Shipping cost: no additional cost

Returned sets:

3 *$100  = $300

ACME will issue a credit to Century for $300

Total cost:

$4,815 + $0 - $300 = $4,515

Partial payment:

$275

Final payment:

Balance after partial payment = $4,515 - $275 = $4,240

5% discount if paid within 10 days after the end of the month = $4,240 x 5% = $212

Final payment on May 06 = $4,240 - $212 = $4,028

To know more about Partial payment, here

brainly.com/question/24266537

#SPJ4