This scale drawing shows a parking lot. What is the length of the longer side of the actual lot?

The required age for Emma and her sister is 26 years and 15 years respectively.

Given that,
The sum of Emma’s age and her sister's age is 41 years. Emma is 11 years older than her sister.

The problem given is of arithmetics.

Let the age of Emma be x and her sister be y.

The sum of Emma’s age and her sister's age is 41 years.
x + y = 41   - - - - - - (1)

Emma is 11 years older than her sister
x = y + 11  - - - - - (2)

Solving equations 2 and 1
y + 11 + y = 41
2y = 30
y = 15
Now,
Put y in equation 1.
x = 41 - 15
x = 26

Thus, the required age for Emma and her sister is 26 years and 15 years respectively.

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Answer:

.

Step-by-step explanation:

The diameter of a circle with a circumference of 11.4mm is approximately 3.63mm when rounded to three significant figures. The formula for calculating the diameter is D = C/π, where C is the circumference.

The student is asking how to find the length of the diameter of a circle if the circumference is given as 11.4mm. To find the diameter, we can use the formula for the circumference of a circle, which is C = πD, where C is the circumference, π (pi) is a mathematical constant approximately equal to 3.14159, and D is the diameter. Rearranging the formula to solve for the diameter, we get D = C/π.

Substitute C with 11.4mm into the equation:

D = 11.4mm /π

Using a calculator:

D ≈ 11.4mm / 3.14159

D ≈ 3.63mm (rounded to three significant figures)

Therefore, the diameter of the circle is approximately 3.63mm when rounded to three significant figures.

Answer:

The perimeter would be 60 units; Option B

Step-by-step explanation:

~ Let us consider this problem. We know that tangent segments are congruent to one another provided they are from one endpoint. According to that, we would note that several segments are congruent to one another...  ~

1. All the tangent segments that "sprout" from one vertex in this plane onto the circle circumscribed in this triangle are congruent, as noted before. According to that the side of the length 18 units has one part equivalent to 8.7 units.

2. With that being said the other part of the side with length 18 units, would be 18 - 8.7 = 9.3 units. Respectfully the side with length of 21.3 units has a part that is congruent to 9.3, by tangent ≅. This other part of the side with 21.3 units now = 21.3 - 9.3 = 12 units. Similarly the side with 8.7 as a part of it, has the other part ≅ to 12 units, it's measure thus also being 12 units.

3. Let us see the measures we have at this point. The perimeter would be ⇒ 8.7 + 8.7 + 9.3 + 9.3 + 12 + 12 = 60 units

Answer:

no because 7% would not equal a whole piece so D is your answer

Step-by-step explanation:

Answer:

C. No, because 7/10 parts shaded equals 70%.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Two dozen cupcakes equals 24 cupcakes.

24/4=6

6*3=18

18 cupcakes are chochlate

24-18=6, so 6 are vanilla

Answer:

Step-by-step explanation:

If she baked two dozens, which are 24 cupcakes and 3 quarters are chocolate  or 3/4 in fractional form. This would be:

24 divided by 3/4 would be: 18

24-18= 6

6 cupcakes are vanilla frosted.

Answer:

95% confidence interval for the actual average amount of time the entire population can hold their breath under water is between 72.55 and 72.85.

Step-by-step explanation:

Confidence Interval for the population mean is basically an interval of range of values where the true population mean can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample mean) ± (Margin of error)

Sample Mean = 72.7

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error of the mean)

Critical value will be obtained using the t-distribution. This is because there is no information provided for the population mean and standard deviation.

To find the critical value from the t-tables, we first find the degree of freedom and the significance level.

Degree of freedom = df = n - 1 = 150 - 1 = 149

Significance level for 95% confidence interval

(100% - 95%)/2 = 2.5% = 0.025

t (0.025, 1499) = 1.975 (from the t-tables)

Standard error of the mean = σₓ = (σ/√n)

σ = standard deviation of the sample = 0.92

n = sampling size = 150

σₓ = (0.92/√150) = 0.0751176854 = 0.07512

95% Confidence Interval = (Sample mean) ± [(Critical value) × (standard Error of the mean)]

CI = 72.7 ± (1.975 × 0.07512)

CI = 72.7 ± 0.1483574288

95% CI = (72.55, 72.85)

95% Confidence interval = (72.55, 72.85)

Hope this Helps!!!

Answer:

?= 5.52

Step-by-step explanation:

We know that sin theta = opp side / hypotenuse

sin 65 = 5 / ?

? = 5 / sin 65

? =5.516889595

To the nearest hundredth

?= 5.52

Answer:

its 5

Step-by-step explanation:

bruh

The sum of the geometric sequence can be found by plugging the values into the formula S_n = a * (1 - r^n) / (1 - r) and calculating it using a graphing utility.

The question pertains to finding the sum of a geometric sequence using a graphing utility. The general formula to find the sum of a geometric sequence is S_n = a * (1 - r^n) / (1 - r) where S_n is the sum of the first n terms, a is the first term, r is the common ratio, and n is the number of terms. In your case, our first term a is 15, common ratio r is 5, and number of terms n is 6.

Now, you need to plug these values into the formula and compute the sum. Here's how: S_6 = 15 * (1 - 5^6) / (1 - 5). Solve this equation using your graphing utility to get the sum of the sequence. Remember to round off to three decimal places as needed.

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Answer:

taxes, borrow money, regulate commerce, uniform rule of naturalization, and regulate the value.

Answer:

1. Make laws

2. Declare war

3. Tax people

4. Appoint treaties

5. establish post offices

i hope this is what you were looking for! :)

Answer:

375 seconds.

Step-by-step explanation:

Step 1

The first step is to find the Circumference of the paddle.

The Circumference of a paddle = Circumference of a circle = 2πr or πD

Where D = Diameter of the circle or Diameter of the paddle

In the question above,

Diameter of a paddle = 8 feet

Circumference of the paddle= πD

= π × 8

= 25.132741229 feet

Step 2

We have to find out first, the time it would take for the paddle to complete one revolution.

This is calculated using the formula:

Time(t) = distance travelled ÷ Speed travelled by the fins along the outer edge of the paddle

In the question,

Speed travelled by the fins along the outer edge of the paddle = 6.7 feet per second

It is important to note that the distance travelled is = Circumference of the paddle = 25.132741229 feet

Time taken to complete one revolution = 25.132741229 feet ÷ 6.7 feet per second

Time taken to complete one revolution. = 3.7511554073 seconds

Approximately = 3.75 seconds.

Step 3

If , 1 full revolution of the paddle takes = 3.75 seconds

100 revolutions =

100 × 3.75 seconds

= 375 seconds.

Therefore, it takes the paddle wheel 375 seconds to complete 100 full revolutions.

If the probability of an event is 0, it is impossible to happen, in contrast to an event with a probability of 1, which is certain to happen. Probability is measured between 0 (impossible event) and 1 (certain event), with a familiar example being a coin flip where each outcome (heads or tails) has an equal probability of 0.5.

If the probability of a chance event is 0, it is impossible for it to happen when compared to a chance event with a probability of 1, which is certain to happen. The concept of probability is expressed as a number between zero and one, inclusive. An event with a probability of 0 is not expected to happen at all, while an event with a probability of 1 is considered an absolute certainty. In contrast, if two events are mutually exclusive, the probability that they both happen at the same time is zero (P(A AND B) = 0). A familiar example involving probability is flipping a fair coin, where there's a 1/2 chance of getting heads, meaning that the outcome of getting either heads or tails are equally likely; each has a probability of 0.5.

Answer: $19.35

Step-by-step explanation: 18 x 0.075 = 1.35

18 + 1.35= 19.35

Answer

229275

Step-by-step explanation:

Take the previous month sales and cut that in half then add them to the same sales you just cut in half because they've increased by 1/2 and or 0.5

Answer:

$321. 25

$280. 25

$260. 25

$285. 25

Answer:

45 square inches

Step-by-step explanation:

We are told that a terrarium is constructed in a triangular prism shape with the following 10 inches tall and 450 cubic inches in volume.

We are asked to calculate the area of the base shape of the prism, we know that the volume of any triangular prism is equal to the area of the base times the height therefore:

450 = W × 10

we solve for A:

A = 450/10

A = 45

Which means that the base area is 45 square inches

Answer:

(C) 45 square inches

Step-by-step explanation:

correct on edge

Answer: A = 72

B = 108

Step-by-step explanation:

 ANSWER. BBB

Step-by-step explanation:

Mrs. Jones gave candy bars to 80 children who were wearing costumes. The correct answer is option D.

The question is a classic example of a system of equations problem

Let's call the number of children with costumes x and the number without costumes y. We have two pieces of information that will help us solve for x:

The total number of children is 100, so x + y = 100.

The total amount of money spent on candy is $69, and since candy bars cost $0.80 and gummies cost $0.25, we can express this as 0.80x + 0.25y = 69.

We can solve this system of equations using substitution or elimination method.

Let's use substitution and express y in terms of x from the first equation: y = 100 - x.

Now we substitute this into the second equation:

0.80x + 0.25(100 - x) = 69

0.80x + 25 - 0.25x = 69

0.55x = 44

Solving for x gives us x = [tex]\frac{44}{0.55}[/tex]

Therefore, 80 children wearing costumes were given candy bars by Mrs. Jones. The correct answer is D.

Answer:

(9 / 10) * PI radians = .9 * PI = 2.8274333882  radians

Sector Area = Central Angle in Radians / 2 * radius^2

Sector Area = 2.8274333882  / 2 * 5 * 5

Sector Area = 1.4137166941  * 25

Sector Area = 35.3429173525

Using degrees:

Sector Area = (162 degrees / 360) * PI * radius ^2

Sector Area = .45 * PI * 25

Sector Area = 35.342917352

Step-by-step explanation:

Answer:

Mean is 69.8

Median is 77

Range is 54

Step-by-step explanation:

Mean is all numbers added up, then divided by the amount of numbers.

Median is the middle number of all numbers (To find this you put all numbers in order from least amount to highest amount, then you find the most center number of the rest).

Range is the highest number subtracted from the lowest number.

Answer:

Mean:  69.8

Range:  54

Median:  77

Step-by-step explanation:

The mean is the average of the numbers.  The range is the largest number minus the smallest number.  The median is the middle number.

The mean is 69.8.

[tex]\frac{45 + 83+45+77+99}{5} \\\frac{349}{5}\\69.8[/tex]

The range is 54.

99 - 45 = 54

The median is 77.

45  45  77  83  99

Answer:

$34.20.

Step-by-step explanation:

You have to use addition. First, you add $16.08 and $43.57 and get $59.65. Then you subtract $25.45 from $59.65 getting $34.20. Hope this helps! If you are still confused please comment!

First, let's pick two pairs of coordinates from the table.

I picked (-3,6) and (1,-2).

Now, let's find the slope of the two coordinates. We are going to use the rise over run method.

-2 -6 /1 - -3 = -8/4

-8/4 = -2

Final answer:

Abigail and Monique can spend a maximum of $40 together for renting a boat. Given the company's pricing model, the inequality 3h ≤ 27 represents their situation, and solving it shows they can rent the boat for up to 9 hours.

Explanation:

The question is about calculating the maximum number of hours Abigail and Monique can rent a boat, given they each do not want to spend more than $20. The company charges a $13 flat fee plus $3 per hour for renting a boat. The total amount they are willing to spend each is $40 ($20 each), subtracting the flat fee leaves $27 to be spent on the hourly rate. Therefore, the inequality to find the maximum number of hours they can rent the boat is:

3h ≤ 27

Dividing both sides by 3 gives:

h ≤ 9

So, Abigail and Monique can rent a boat for a maximum of 9 hours.

Step-by-step explanation:

Y - intercept = (0 , -4)

X - intercept = (4/3 , 0)

You only need these two points and then you get a linear function.

First to find y-intercept, the (x) value has to be 0. So substitute 0 for (x).

You get 3-6(0)+2y=-5

now solve that. you get 3-0+2y=-5

= 3+2y=-5

= 2y = -8

= y = -4

Knowing that y = -4, x = 0. You have a point now. (0 , -4 )

Do the same for x - intercept, but this time (y) = 0. So you would get

3 - 6x + 2(0) = -5

= 3 - 6x + 0 = -5

= 3 - 6x = -5

= -6x = -8

= x = 8/6

which is app = to 4/3

Answer:

2(x+5)+2(3x-2) = 60

because rectangle have 2 equal sides, and 2 other quals side, u just times them with 2, and sum them together? does this make sense? hope the picture explains :/

Answer:

A is f ", B is f, C is f '.

Step-by-step explanation:

Your answer is correct.  B is the original function f.  It has a local maximum at x=0, and local minimums at approximately x=-3/2 and x=3/2.

C is the first derivative.  It crosses the x-axis at each place where B is a min or max.  C itself has a local maximum at approximately x=-3/4 and a local minimum at approximately x=3/4.

Finally, A is the second derivative.  It crosses the x-axis at each place where C is a min or max.

The solution is::

A is f ", B is f, C is f '.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

we get,

B is the original function f.  

It has a local maximum at x=0, and local minimums at approximately x=-3/2 and x=3/2.

C is the first derivative.  

It crosses the x-axis at each place where B is a min or max.  

C itself has a local maximum at approximately x=-3/4 and a local minimum at approximately x=3/4.

Finally, A is the second derivative.  It crosses the x-axis at each place where C is a min or max.

Hence, The solution is::

A is f ", B is f, C is f '.

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Answer:

Cos 15

Step-by-step explanation:

Because they both have the same answer when you type them in the calculator

Hope this helps

The required simplified value of the given expression is cos 15°. Option  C is correct.

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Given
= cos(-15°)

Since,
Cos[-Ф] = cosФ,
cos(-15°) = cos 15°

Thus, the required simplified value of the given expression is cos 15°. Option  C is correct.

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