The base and altitude of a triangle are 24 m and 20 m respectively. Then the area of the triangle is _____

Bank Reconciliation Statement:

Bank reconciliation statements are prepared to find out the facts behind the differences between the cash account balance and the balance shown by the bank statement. Periodical bank reconciliation helps to prevent frauds and rectify any accounting errors and mistakes.

Calculation of Cash Account Balance of Brentwood Bike Co. as of May 31:

1. Bank Reconciliation Statement of Bentwood Bike Co. as of May 31.

Balance as per cash account  $35,670

Add:  

Less:  

2. Journal Entries to be recorded:

3. Computation of cash account balance should be reported in the balance sheet on May 31:

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The value of 2 in the quotient is 200.

What is division?

One of the four fundamental operations of arithmetic, or how to mix numbers to create new ones, is division. Addition, subtraction, and multiplication are the other operations.

The opposite of multiplication is division. When you multiply three groups of four to produce twelve, you get four in each group when you split twelve into three equal groups.

Let, the number 392,000 is divided by 10.

That means, \(\frac{392000}{10}\)

Here, 392000 is the numerator and 10 is the base.

Simplifying the fraction, we get 39200.

39200 is the quotient.

Here 2 is on the hundredth place.

Therefore, the value of 2 in the quotient is 200.

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9514 1404 393

Answer:

Step-by-step explanation:

In similar triangles, corresponding sides are proportional. This lets us write an equation involving x. Sides adjacent are proportional to sides opposite the vertical angle.

  x/45 = 9/30

__

Multiplying by 45 gives the solution:

  x = 45(9/30) = 13.5 . . . meters

The net surface area of rectangular prism is 242.2 meters square.

A rectangular prism is a three-dimensional shape with two top and bottom faces and four lateral faces. A rectangular prism seems to be a solid three-dimensional shape with six faces and rectangular bases. A rectangular prism seems to be a cuboid, and a cuboid and a rectangular prism both have the same cross-section.

This rectangular prism's surface area = l x b

We have provided

4 rectangular areas

A₁ = 4.3m x 10m

= 43 m²

2 rectangular areas

A₂ = 6.75m x 5.2m

= 35.1 m²

As a result, the rectangular prism's surface area is:

S.A. = 4A₁ + 2A₂

S.A. = 4(43) + 2(35.1)

= 172+ 70.2

= 242.2 meter square

As a result, the net surface area of the rectangular prism is 242.2 meters square.

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The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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Answer:

B) 352

Step-by-step explanation:

45% = 0.45

640 x 0.45= 288

288 is how many students walked to school

So to find how many took the bus to school

640- 288= 352

It can be written as 13/35.

how do we rewrite a fraction.

Divide the numerator by the denominator

Write down the whole number result

Use the remainder as the new numerator over the denominator. This is the fraction part of the mixed number.

A number that will divide evenly into both the numerator and denominator so it can be reduced, or

The numerator must be greater than the denominator, (an improper fraction), so it can be converted to a mixed number

4/5-3/7

⇒4×7-3×5/ 35     ( 5 and 7 have no common divisor).

⇒ 28- 15/35

⇒13/35

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\(\displaystyle\frac{3}{16}\)

Probability represents the likelihood of an event occurring. Complex probability is the likelihood of a series of events occurring.

Independent Events

The question states that the marbles are replaced after being recorded. This means that the separate drawing of marbles is independent of each other. So, the probability of an event occurring does not change based on events that happened earlier.

This is important to this question because it means that probability does not change based on if the one red marble was drawn first or second.

Probability of a Red

First, we need to find the probability of drawing a red marble. Probability is represented as the number of successful outcomes (drawing a red) over the number of possible outcomes (number of marbles). Out of the total 12 marbles, 3 of them are red. So, the probability of drawing a red is \(\displaystyle\frac{3}{12}\).

The Complement

In probability, the complement is the likelihood of an event not occurring. So, in this situation, the complement is the likelihood of not drawing a red. Out of the total 12 marbles, 9 are NOT red. So, the complement is \(\displaystyle\frac{9}{12}\).

Complex Probability

To find the probability of 2 different events both occurring, multiply the probabilities together.

Then, we can simplify the fraction by dividing by 9

This means that the probability of drawing exactly one red is 3/16.

Answer:

x=20

Step-by-step explanation:

3^x=243^4

3^x=(3^5)^4

3^x =3^20

x=20

Answer: 68y+106=36-y

Answer:

22%

Explanation:

The histogram given tell

Answer:

66-26 = 40

Step-by-step explanation:

u = 40 degrees

Answer:

770 x 9/100 = 69.3

the discound amount = 69.3$

the sale price = 770 - 69.3 = 700.7$

Answer:

It will take them both 24 minutes to mow the lawn if they are working together.

Step-by-step explanation:

Given that Sam can mow a lawn in 40 minutes, and Melissa can mow the same lawn in 80 minutes, to determine how long does it take for both Sam and Melissa to mow the lawn if they are working together, the following calculation must be performed:

1/40 + 1/60 = 1 / X

3X + 2X = 120

X = 120/5

X = 24

Thus, it will take them both 24 minutes to mow the lawn if they are working together.

the value of variable x in the rhombus is Option (c) 25.

A parallelogram is a particular instance of a rhombus. opposite sides and angles of the rhombus are parallel and equal. The rhombus has equal-length sides on each side, and its diagonals meet at right angles to form its shape as square. The rhombus is sometimes called as a diamond or rhombus.

Let O be the intersection point of the line AC and the line BD in the rhombus.

This two lines intersect at a 90° angle in the center. ( Property of Rhombus)

∠AOD=90°

∠AOD+∠OAD+∠ODA=180° (triangle sum property)

90°+x+x+40°=180°

2x=180°-130°

x=25

Hence the value of x=25.

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Answer:

  y = -3x +7

Step-by-step explanation:

You want the equation of the median line through point A, given that the vertices of the triangle are A(2, 1), B(-2, 3) and C(4, 5).

The median will go through the midpoint of the segment opposite vertex A. That midpoint is ...

  D = (B +C)/2

  D = ((-2, 3) +(4, 5))/2 = (-2+4, 3+5)/2 = (2, 8)/2 = (1, 4)

The slope of the line is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

Then the slope of AD is ...

  m = (4 -1)/(1 -2) = 3/-1 = -3

The point-slope equation of the line with slope m through point (h, k) is ...

  y -k = m(x -h)

The equation of the line with slope -3 through point A(2, 1) is ...

  y -1 = -3(x -2) . . . . . equation of the median line

This can be simplified to slope-intercept form:

  y = -3x +6 +1 . . . . . eliminate parentheses, add 1

  y = -3x +7 . . . . . slope-intercept equation of the median line

The required value of y for the given segment AB is given as y = 16, -8.

A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.

here,
A(0, 4), B(5, y), and AB = 13.

Applying the distance formula,
D = √[[x₂ - x₁]² + [y₂- y₁]²]

Substitue the value in the above expression,
13 = √[[5 - 0]² + [y - 4]²]
169 = 25 + [y - 4]²
[y - 4]² = 144
y - 4 = ± 12

y = 16, -8

Thus, the required value of y for the given segment AB is given as y = 16, -8.

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Answer:

740,000

Step-by-step explanation:

that is standered form yuh

The solution is the point (0, 1/6) y = 1/6

Given the equation y = (-3/4)x + 1/6, which represents a linear equation, there is no "system" of equations involved since there is only one equation.

In this case, the equation is in slope-intercept form (y = mx + b),

where m represents the slope (-3/4) and b represents the y-intercept (1/6).

The slope-intercept form allows us to determine various properties of the equation.

Since there is only one equation, the solution to this equation is a single point on the Cartesian plane.

Each pair of x and y values that satisfy the equation represents a solution.

For example, if we choose x = 0, we can substitute it into the equation to find the corresponding y value:

y = (-3/4)(0) + 1/6

y = 1/6

Therefore, the solution is the point (0, 1/6).

In summary, the given equation has a unique solution, represented by a single point on the Cartesian plane.

Any value of x plugged into the equation will yield a corresponding y value, resulting in a unique point that satisfies the equation.

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Answer:(2x+7)+(2x+7)

Step-by-step explanation:

what you do is put 2x on the top and on the side and then seven on the top and on the side and then you got your answer

The distance between City C and City D is represented by 13.67 inches on a certain wall​ map.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

Let x inches would be far apart are they on the same​ map

We can write this as a ratio as

As per the given information,

9 inches : 2700 miles = x inches : 4100 miles

⇒ 9/2700 = x/4100

⇒ x = (4100×9)/2700

⇒ x = 13.67 inches

Therefore, on a certain wall​ map, the distance between City C and City D is represented by 13.67 inches.

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Answer: 1/2

Step-by-step explanation:

Slope is the number in front of x

Answer:

The slope of the line or m is represented by 1/2. x and y are coordinates on the line and -5 represents the y-intercept. The used for this equation is y = mx + b. M = slope and b is the y-intercept

Step-by-step explanation:

Hope I made sense to you.

The new demand function given that D = 17,000 when x is $3 per unit is: D(x) = 1400 (√25-x²) + 12,800

The Demand Function A demand function is defined as p=f(x), p = f (x), where p is the unit price and x is the number of units of the commodity in question, and is often described as a decreasing function of x; that is, p=f(x), p = f (x) drops as x grows.

Given that D'(x)=-1400x/(√25-x²)

Integrate both sides
D(x) = 1400 √(25-x²) + C

If D(4) = 17,000

17,000 = 1400 * 3 + C

C = 12,800

Hence

D(x) = 1400 (√25-x²) + 12,800

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Answer:

D. \( 4\frac{2}{5} \)

Step-by-step explanation:

Area of fabrics = 2¾ square yards

Width of fabrics = ⅝ yard

Length of fabrics = x

Area = length * width

Therefore:

2¾ = ⅝*x

Change the mixed fraction to improper fraction

\( \frac{11}{4} = \frac{5x}{8} \)

Cross multiply

\( 4*5x = 11*8 \)

\( 20x = 88 \)

Divide both sides by 20

\( \frac{20x}{20} = \frac{88}{20} \)

\( x = \frac{22}{5} \)

\( x = 4\frac{2}{5} \)

\( length = 4\frac{2}{5} \)

The sample standard deviation weight of the 50 candies is, 0.07 grams.

The amount of variation or dispersion in a set of data values is measured by standard deviation. A statistical calculation is used to determine how far the values vary from the mean (average) value. While a high standard deviation suggests that the data values are more dispersed, a low standard deviation suggests that the data values tend to be close to the mean.

To find the sample standard deviation weight,

we can use the formula:

\(s = \sqrt{((1/(n-1))} \sum((x - \bar x)^{2} ))\)

where n is the sample size, x is the weight of each candy, \(\bar x\) is the sample mean weight, and sum() means to add up the values.

We can first find the sample mean weight:

\(\bar x\)= (0.98 + 0.85 + 0.92 + 0.98 + 0.71 + 0.88 + 0.86 + 0.75 + 0.85 + 0.85 + 0.86 + 0.78 + 0.75 + 0.75 + 0.74 + 0.82 + 0.85 + 0.91 + 0.78 + 0.72 + 0.81 + 0.81 + 0.81 + 0.84 + 0.87 + 0.85 + 0.89 + 0.77 + 0.85 + 0.97 + 0.74 + 0.89 + 0.82 + 0.86 + 0.82 + 0.84 + 0.91 + 0.87 + 0.94 + 0.85 + 0.71 + 0.83 + 0.87 + 0.94 + 0.81 + 0.81 + 0.78 + 0.77 + 0.85) / 50

\(\bar x\) = 0.8456

Next, we can calculate the sample standard deviation:

s = √((1/(50-1)) x ((0.98-0.8456)² + (0.85-0.8456)² + ... + (0.77-0.8456)² + (0.85-0.8456)²))

s = sqrt(0.0045916)

s = 0.0678

Rounding to two decimal places, the sample standard deviation weight is 0.07 grams.

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Answer:

1. x=10+1/3(y)

2. n is nickles

Step-by-step explanation:

Answer:

x=24

Step-by-step explanation:

Use Pythagorean Theorem to solve for x.

7^2+x^2=25^2

49+x^2=625

-49       - 49

x^2=576

sqrt sqrt

x=24

IT'S 32 BECAUSE ALL YOU HAFTA DO US ADD.

Answer:

I don't know how helpful I'll be, sorry :(

Step-by-step explanation:

So the scale factor is 1/4 reduction because the triangle P'Q'R' is smaller than the original. When reflecting the triangle P'Q'R' over the Y axis, you'll have P"Q"R". The graphing might be a little confusing but it's just a vertical reflection.

P" = (-1,0)

Q"= (0,-1)

R"= (2,-1)

Triangles PQR and P"Q"R" are not congruent because P"Q"R" has had a 1/4 reduction and a vertical reflection.

Answer:

Step-by-step explanation:

C

Answer:

Step-by-step explanation: