I need help on 11 and 12 I need it in 1 min help asp

The area of each small triangle is equal to √(7)/8 times the square of the length of one side of the square.

First, we need to find the area of the larger triangle that is created by placing the two small triangles on top of the square. Let's call the base of the larger triangle "b" and the height of the larger triangle "h".

To find "b", we can use the length of one side of the square since the two small triangles are placed on top of the square. Let's call the length of one side of the square "s".

Since the two small triangles are congruent, we know that the base of each small triangle is equal to half of one side of the square, which is s/2. Therefore, the total base of the larger triangle is equal to the sum of the bases of the two small triangles, which is s/2 + s/2 = s.

To find "h", we need to use the Pythagorean theorem since the larger triangle is a right triangle. Let's call the hypotenuse of the larger triangle "c". Since the hypotenuse is the diagonal of the square, we know that its length is √(2)*s.

Using the Pythagorean theorem, we can find the height of the larger triangle:

h² + (s/2)² = c² h² + (s/2)² = (√(2)s)² h² + s²/4 = 2s² h² = 7s²/4 h = √(7)/2 x s

Now that we have found "b" and "h", we can use the formula for the area of a triangle:

Area = 1/2 x base x height

Area of the larger triangle = 1/2 x s x √(7)/2 x s = √(7)/4 x s²

Finally, we can find the area of each small triangle by dividing the area of the larger triangle by two:

Area of each small triangle = 1/2 x (√(7)/4 x s²) = √(7)/8 x s²

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Answer:

chess is good oodles like poodles

Answer:

A) 80%

B) Non-Fiction = 4,800 books Fiction = 1,200 books

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answers:

a) 80% nonfiction

b) 1200 fiction, 4800 nonfiction

=========================================

Explanation:

part (a)

We only have two choices: fiction or nonfiction

If 20% are fiction, then 100% - 20% = 80% are nonfiction.

The two percentages 20% and 80% add to 100% to represent all the books.

---------------------

part (b)

20% = 20/100 = 0.20

20% of 6000 = 0.20*6000 = 1200

we have 1200 fiction books

6000-1200 = 4800

and we have 4800 nonfiction books

Note how

80% of 6000 = 0.80*6000 = 4800

which helps confirm part (a)

Answer:127.5

Step-by-step explanation:

15% of 150 = 22.5

150-22.5=127.5

Answer:

Step-by-step explanation:

Answer:

12 should be 1 as in 1 foot. 1' 1/4"

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

I just took the test:) I’m pretty sure it’s right

Answer:

Its A.

Step-by-step explanation:

I did the test and can confirm. :)

Answer:

Part A:

To calculate the measures of center, we need to find the mean and median of each set of data.

For Bay Side School:

Mean = (2 x 12 + 1 x 10 + 1 x 8 + 3 x 6 + 1 x 5 + 1 x 4 + 1 x 3 + 1 x 2) ÷ 15 = 6.4

Median = (5 + 5) ÷ 2 = 5

For Seaside School:

Mean = (2 x 10 + 1 x 8 + 2 x 7 + 2 x 6 + 1 x 5 + 1 x 2) ÷ 9 ≈ 7.11

Median = (5 + 6) ÷ 2 = 5.5

Part B:

To calculate the measures of variability, we need to find the range and interquartile range (IQR) of each set of data.

For Bay Side School:

Range = Largest value - Smallest value = 8 - 2 = 6

IQR = Q3 - Q1 = (6 + (8 ÷ 2)) - (3 + (5 ÷ 2)) = (6 +4) - (3+2.5) =4.5

For Seaside School:

Range = Largest value - Smallest value =8 -2=6

IQR=Q3-Q1=(7+(8÷2))−(5+(0÷2))=(7+4)−(5+0)=6

Part C:

If you are interested in a smaller class size, Seaside School is a better choice for you because it has a smaller mean and median than Bay Side School. The mean and median are both measures of center, so they give us an idea of what the typical class size is like at each school. Since Seaside School has smaller values for both measures of center, it is likely that the classes are smaller on average at Seaside School.

Given that the discharge current decreases to 27% of its initial value in 1.40 ms, we can use the equation of discharge current:

The capacitance of the capacitor is 0 F.

Part A:

Given that the discharge current decreases to 27% of its initial value in 1.40 ms, we can use the equation of discharge current:

I = I₀e^(-t/RC)

Here,

I₀ = initial current

R = resistance

C = capacitance

t = time

We are given that the current is 27% of the initial value, so the equation becomes:

0.27 = \(1e^(-1.40*10^-3/RC)\)

Simplifying the equation, we find:

RC =\(3.28* 10^-3 s\)   ----(1)

Part B:

The time taken to discharge a capacitor through a resistance R is given by:

t = RC ln (Vc/V₀)

where Vc = voltage across the capacitor at time t and V₀ = initial voltage across the capacitor.

Substituting the values, we have:

\(1.40*10^-3\) = C*90 ln (0/100)

Since a fully discharged capacitor has a voltage of 0, we set Vc = 0. Thus, the equation becomes:

\(1.40*10^-3\)= C*90 ln (0)

The natural logarithm of 0 is negative infinity. Therefore, the equation becomes:

\(1.40*10^-3\)= C*90*(-infinity)

Simplifying further, we find:

C = 0

Thus, the value of capacitance is 0 F.

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Answer:

the cone is not a prism, as it is not a cylinder. the star prism(lookimg like thing) is. alsp it is circular so it cannot be a prism(like the cylinder)

The car traveled a distance of 30.25 meters while braking.

When a car is brought to a full stop from an initial velocity of 22 m/s with an acceleration of -8 m/s^2, we can use the laws of motion to determine the distance traveled by the car while braking.

The relevant equation to use in this case is:

\(v^2 = u^2 + 2as\)

where v is the final velocity (which is 0, since the car comes to a full stop), u is the initial velocity (which is 22 m/s), a is the acceleration (which is \(-8 m/s^2\), since the car is decelerating), and s is the distance traveled while braking.

Substituting the given values into the equation, we get:

\(0^2 = (22 m/s)^2 + 2(-8 m/s^2)s\)

Simplifying this equation, we get:

\(0 = 484 m^2/s^2 - 16s\)

\(16s = 484 m^2/s^2\)

\(s = (484 m^2/s^2) / 16s = 30.25 m\)

Therefore, the car traveled a distance of 30.25 meters while braking.

This calculation shows that the distance traveled by the car while braking depends on the initial velocity of the car and the rate at which it decelerates. In this case, the car was traveling at a high initial velocity of 22 m/s and decelerated at a rate of -8 m/s^2, which resulted in a braking distance of 30.25 meters. If the initial velocity or the deceleration rate were different, the braking distance would also be different.

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Answer:

Gradient: m = 3

Step-by-step explanation:

m = change in y/change in x

m = \(\frac{Y2-Y1}{X2-X1}\)

m = \(\frac{9-(-3)}{6-(2)}\)

m = 12/4

m = 3

Answer:

30 minutes earlier

Step-by-step explanation:

Since the friend lives 300 miles away, they each have to travel 150 miles which is half of that distance. If the friend travels at 50 miles per hour, they will take 3 hours to reach the destination. If you traveled 60 miles per hour, then you would take 2.5 hours, therefore making it there before him by half an hour.

150/50 = 3

150/60 = 2.5

hope this helps :^)

The appropriate units of measure for measuring the arc subtended by an angle's rays are: 1/8th of the circumference of the corresponding circle, 1/2πth of the circumference of the corresponding circle, and 1/360th of the circumference of the corresponding circle.

When measuring an arc, it is essential to consider the relationship between the angle and the circumference of the circle. An angle is formed by two rays originating from the center of a circle and intersecting at a specific point on the circumference. The arc subtended by the angle is the portion of the circle's circumference intercepted by these rays.

The options that correctly represent appropriate units of measure are:

1. 1/8th of the circumference of the corresponding circle: This fraction indicates that the arc length is one-eighth of the entire circumference of the circle.

2. 1/2πth of the circumference of the corresponding circle: This fraction is equivalent to 1/2 of the circle's radius and represents half of the circumference.

3. 1/360th of the circumference of the corresponding circle: This fraction signifies that the arc length is one three-hundred-sixtieth of the total circumference, which corresponds to one degree in a circle.

These units of measure provide a way to quantify the length of an arc in relation to the circumference of the circle it belongs to, enabling precise calculations and comparisons.

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The number of students that leave by bus or car is given as follows:

5801 students.

The union and intersection sets of multiple sets are defined as follows:

The or operation is equivalent to the union operation, meaning that we add the number of students that leave by bus to the number of students that leave by car.

Hence the number of students that leave by bus or car is given as follows:

3232 + 2549 = 5801 students.

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The answer is m<D=14*

Given,Total = 44 + 41 = 85.The percentage of the 8th graders who estimated they spend less than an hour a day on social media can be found using the following steps:

Step 1: Determine the number of students who spend less than an hour a day on social media. From the table given, it is known that 26 of the 7th graders and 18 of the 8th graders spend less than an hour a day on social media. Therefore, the total number of students who spend less than an hour a day on social media = 26 + 18 = 44.

Step 2: Calculate the percentage of 8th graders who spend less than an hour a day on social media. The number of 8th graders who spend less than an hour a day on social media is 18.Therefore, the percentage of 8th graders who spend less than an hour a day on social media = (18/85) × 100% ≈ 21.2%.Therefore, the percent of the 8th graders estimated they spend less than an hour a day on social media is 21.2%, rounded to the nearest tenth of a percent.

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Answer:

An obtuse triangle has one angle larger than 90 degrees (deg). Given information, the two base angles EDF and EFD are represented by one variable x, therefore they are equal.

The sum of all angles of any triangle is 180 deg so angles EDF + EFD + DEF = 180 deg

Since the obtuse angle must be larger than 90 deg, the sum of the other two angles must be less than 90.

Angles EDF + EFD < 90 and 90 < DEF can be re written

An inequality of angles EDF + EFD < DEF

Since angles EDF and EFD are equal to x their sum is (x + x) or 2x, so we can write

2x < 90 divide both sides by 2

{0 < x < 45} is all possible values of x.

A function can be written to represent this. The function will accept input of the obtuse angle and output the two equal acute angles.

F(x) = (180 - x) / 2

where x is the measure of the obtuse angle. Only works for symmetric triangle. F(x) is the measure of each of the other two angles.

Answer:

Your answers should be

A-False

B-True

C-False

D-True

E-True

Step-by-step explanation:

Hope this helps :) Have a great day!

Answer:

21

Step-by-step explanation:

If it is in the center than DC is 21 and CM is 21

42÷ 2

The probability is 0.6480.

The probability is 0.9629.

1. This can be computed using the standard normal distribution as follows:

z = (70 - 69.0) / 2.8 = 0.357

Using a standard normal table or calculator, we find that P(Z ≤ 0.357) ≈ 0.6480. Therefore, the probability that a male passenger can fit through the doorway without bending is approximately 0.6480.

2. = 2.8/√25 = 0.56 inches.

We want to find P(x < 70), which is the probability that the mean height of the 25 men is less than 70 inches. This can be standardized using the standard normal distribution as follows:

z = (70 - 69.0) / 0.56 = 1.79

Using a standard normal table or calculator, we find that P(Z < 1.79) ≈ 0.9629. Therefore, the probability that the mean height of the 25 men is less than 70 inches is approximately 0.9629.

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The series 2/5 + 4/25 + 8/125+ 16/625 + ... is convergent series.

And the sum of the series is 2/3.

In this question we have been given a series 2/5 + 4/25 + 8/125+ 16/625 + ...

We need to determine  whether the series is convergent or divergent.

The first term of the series is a1 = 2/5

We can observe that given series is a geometric series with the common ratio r = 2/5

Here, multiplying the previous term in the sequence by 25 gives the next term.

We know that the general form of a geometric sequence.

an = a1 r^(n−1)

So the n-th term of the series would be,

an = (2/5)(2/5)^(n - 1)

an = 2^n / 5^n

The sum Sn for given series would be,

Sn = a1(r^n −1) / r−1

Sn = [(2/5)((2/5)^n - 1)] / (2/5 - 1)

Consider lim n→∞ Sn

= lim n→∞ {[(2/5)((2/5)^n - 1)] / (2/5 - 1)}

= [(2/3)/(-3/5)]  lim n→∞ {(2/5)^n - 1}

= -2/3  lim n→∞ {(2/5)^n - 1}

= (-2/3) * (-1)

= 2/3

Since lim n→∞ Sn exists, this series converge

Therefore, the sum of given series is 2/3

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Answer:

The bearing of B from A is 335 Degrees

Step-by-step explanation:

Measure bearings clockwise.

Bearings are measured from the North line.

There are 25 degrees between B and North.

360 Degrees in a circle.

360 - 25 = 335

Polygon 3 and 4 are similar to polygon 1.

Polygons will be called similar if they are exactly in the same shape, but can be in different sizes.

Here given, Some of the images are images of the polygon 1 from similarity transformations.

So we have to find the similar polygon from the given picture.

From picture it is clear that Polygon 2 is similar to polygon 1 as the size of polygon 2 has been decreased from polygon 1 but the shape of polygon 2 is the same as polygon 1 as we can their corresponding angles are also equal.

Also, polygon 3 is similar to polygon 1 as the size of polygon 3 has been decreased from polygon 1 but the shape of polygon 2 is the same as polygon 1 and reversed of polygon 1. So polygon 3 is of the same orientation as polygon 1 as we can their corresponding angles are also equal.

So from above, it is clear that Polygon 1 is similar to polygon 3 and 4 as they have the same shape but different sizes.

Therefore Polygon 3 and Polygon 4 are similar to polygon 1.

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Answer:

27

Step-by-step explanation      divided 10 and 270

Answer:

Step-by-step explanation:

3x + 6 = 8 + 3x - 2

3x + 6 = 3x + 6

Bringing like terms on one side

3x - 3x = 6 - 6

0 = 0

Answer:

no solution

Step-by-step explanation:

3(x + 2) = 8 + 3x - 2                         Explanation of steps

                                           3 times x and 3 times 2 then 8-2=6

3x + 6 = 6 + 3x

                                                               3x - 3x  = 6

6 = 6

                                                                  6 - 6 = 0

0 = 0

Answer:

affixwritersgmaicom

APP 447520635495

Answer:

(b) Draw the image of

ΔDEF

∆DEF

Step-by-step explanation:

The difference between a parameter and a statistic lies in the population they represent and the way they are calculated.

(a) In statistics, a parameter is a numerical value that describes a population. It is a fixed, unknown value that we aim to estimate based on sample data. A statistic, on the other hand, is a numerical value that describes a sample. It is a measurable quantity calculated from the sample data and used to estimate the corresponding parameter.

(b) When dealing with means, the parameter symbol used is μ (mu), and it represents the population mean. The statistic symbol used is x' (x-bar), which represents the sample mean.

(c) When dealing with proportions, the parameter symbol used is p, which represents the population proportion. The statistic symbol used is p'  (p-hat), which represents the sample proportion.

(d) When dealing with variances, the parameter symbol used is σ²(sigma squared), representing the population variance. The statistic symbol used is s² (squared s), representing the sample variance.

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