A, B & C form a triangle where BAC = 90° . AB = 7.3 mm and CA = 7.4 mm. Find the length of BC giving your answer rounded to 1 DP.

Answer: √58 or about 7.6

Step-by-step explanation:

use the distance formula: √((x1 - x2)² + (y1 - y2)²)

√((3 - 0)² + (7 - 0)²)

√((3)² + (7)²)

√(9 + 49)

√58

hope this helps!

Answer:

about 7.6

Step-by-step explanation:

right on edge 2021

Let's begin by listing out the information given to us:

The area of this trapezoid

Answer:

6

Step-by-step explanation:

5x+12=42

subtract 12

5x=30

divide by 5

x=6

Answer:

Step-by-step explanation:

Conclusion:

Therefore, the answer is 'x = 6'.

Hoped this helped.

\(BrainiacUser1357\)

Answer:

D'(1, - 1 )

Step-by-step explanation:

Assuming the dilatation is centred at the origin, then multiply the coordinates of D by \(\frac{1}{2}\) , that is

D(2, - 2 ) → D'(\(\frac{1}{2}\) (2) , \(\frac{1}{2}\) (- 2) ) → D'(1, - 1 )

Among the provided answer options, the closest value to -0.555 is -0.55, which is option c. Therefore, option c (-0.55) is the value of c that satisfies P(Z ? c) = 0.71.

The notation P(Z ? c) represents the probability that a standard normal random variable Z is less than or equal to c. To find the value of c that corresponds to P(Z ? c) = 0.71, we need to determine the Z-score associated with this probability.

Using a standard normal distribution table or a calculator, we can find that a Z-score of approximately 0.555 corresponds to a cumulative probability of 0.71. However, since we are looking for the value of c in P(Z ? c), we need to consider the opposite inequality.

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he can use the information to put stuff on sale so more people will come and he can make more money

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

following PEMDAS, we don't have () so we move on to exponents

5^2 is equal to 5 x 5 which is 25

40-25=15

\(\huge\textsf{Hey there!}\)

\(\large\textsf{40 - 5}\mathsf{^2}\\\\\\\large\textsf{5}\mathsf{^2}\\\large\textsf{= 5}\times\large\textsf{5}\\\large\textsf{= \bf 25}\\\\\\\large\textsf{= 40 - 25}\\\\\\\large\textsf{= \bf 15}\\\\\\\\\\\\\boxed{\boxed{\huge\textsf{Therefore your answer is: \bf 15}}}\huge\checkmark\)

\(\huge\textsf{Good luck on your assignment \& enjoy your day!}\)

~\(\textsf{Amphitrite1040:)}\)

In the first diagram the value of k is 10 and in the second diagram the value of k is 15/2.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

In the first diagram:

The sum of the 5k + 20 and 7k + 40 is 180

5k + 20 + 7k + 40 = 180

12k + 60 = 180

12k = 180 -60

12k = 120

k = 10

In the second diagram:

The sum of the two interior angles is equal to the exterior angle.

40 + 12k + 10 = 8k + 80

4k = 30

k = 30/4 = 15/2

Thus, in the first diagram the value of k is 10 and in the second diagram the value of k is 15/2.

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Transformation doesn't depend on the shape of the figure if it has an overlap or not

The transformation \(8d\) can be applied to a figure with overlap or not with overlap.

Transformations are operations on a plane that change the position, shape, and size of geometric figures.

When a geometric figure is transformed,

its new image has the same shape as the original figure.

However,

it is in a new position and may have a different size.

Let's talk about different types of transformations.

Rotation:

It occurs when a shape is turned around a point, which is the rotation center.

Translation:

It moves the shape from one point to another on a plane.

Reflection:

It is an operation that results in the mirror image of the original shape.

Scaling:

The shape is transformed by changing the size without changing its orientation.

Transformation on \(8d\):

In the given problem, the transformation of \(8d\) can be applied to the figure with or without overlap.

This means that \(8d\) transformation doesn't depend on the shape of the figure if it has an overlap or not.

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Answer:

Option C I guess

Step-by-step explanation:

Please Mark me brainlist

Answer:

C

Step-by-step explanation:

Real numbers are the collection of rational and irrational number , so it's option C.

If you like it so please mark me the brainliest

Answer: D. The membership increases by 50 members in each of the six warmest months and decreases by 50 members in each of the other six months.

Step-by-step explanation: Because it is a linear function it needs to fluctuate so by using process of elimination D is the only answer that would look like a linear function by having that curved line we are looking for in a function.

Answer:

A. \(\frac{\frac{1}{4} mile }{22.5 seconds} = 40 mph\)

Step-by-step explanation:

Miles per hour can be written like this:

\(MPH=\frac{miles}{hour}\)

So, the correct way to write this question would be:

\(\frac{\frac{1}{4} mile }{22.5 seconds} = 40 mph\)

If you multiply 22.5 by 4 you get 90, which is 1.5 minutes.

So, a hyena can run a mile in 1.5 minutes.

Divide 60 by 1.5 and you find that the hyena runs 40 miles in 1 hour.

It can't be 90mph. The hyena can't run 60mph because it doesn't run a mile a minute.

Therefore, your answer is A.

I hope this helps!!

- Kay :)

The two numbers with the sum of 5 are 0 and 5

The sum of the numbers is given as

Sum = 5

The relationship between the numbers is given as

Three times the first is thirteen more than ten times the second.

This can be rewritten as

3x = 15 + 10y

Where x and y represent the numbers

This means that

x + y = 5

Make x the subject

x = 5 - y

Substitute x = 5 - y in 3x = 15 + 10y

3(5 - y) = 15 + 10y

Expand

15 - 3y = 15 + 10y

Evaluate the like terms

13y = 0

This gives

y = 0

Substitute y = 0 in x =5 - y

x = 5 - 0

Evaluate

x = 5

Hence, the numbers are 0 and 5

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The correct answer is B. The drop of 15 percentage points on an economics test exceeded the marginal benefit from a second hour of gymnastics.

This conclusion can be drawn by comparing the marginal benefit and marginal cost of Kate's decision to continue gymnastics for an additional hour. Marginal benefit refers to the additional benefit or satisfaction gained from an extra unit of an activity, while marginal cost refers to the additional cost or sacrifice incurred from that same unit. In this case, Kate's marginal benefit from the first hour of gymnastics was high enough to justify the time and effort invested. However, when she decided to extend her workout for a second hour and cut her study time, the marginal cost of sacrificing study time resulted in a significant drop in her economics grade. This drop of 15 percentage points on the economics test outweighed the marginal benefit she expected to gain from the extra hour of gymnastics.

The decision to continue gymnastics for the first hour had a positive marginal benefit that exceeded its marginal cost. Kate likely felt the physical and mental benefits of exercising, which enhanced her overall well-being and potentially improved her focus and energy levels for studying. However, the decision to extend the workout for a second hour resulted in a significant drop in her economics grade, indicating that the marginal cost of sacrificing study time was higher than the marginal benefit gained from the additional hour of gymnastics. This suggests that Kate should have allocated more time to studying rather than spending an extra hour on gymnastics, considering the impact it had on her academic performance.

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Answer: y=-2x

Step-by-step explanation: Use the slope formula

-8-2/4-(-1)

-10/5=-2

y=-2

Answer:

y = - 2x

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c  ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 1, 2 ) and (x₂, y₂ ) = (4, - 8 )

m = \(\frac{-8-2}{4-(-1)}\) = \(\frac{-10}{4+1}\) = \(\frac{-10}{5}\) = - 2 , then

y = - 2x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (- 1, 2 )

2 = 2 + c ⇒ c = 2 - 2 = 0

y = - 2x + 0 , that is

y = - 2x ← equation of line

Answer:

b

Step-by-step explanation:

i know

The solution is Option B.

The translation of triangle MNP along T < 2 , -9 > is

M’(−1, −2), N’(2, −5), P’(4, −3)

What is Translation?

A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.

The notation for translation is T(h, k) where T is the translation, h is the change in the x-axis, and k is the change in the y-axis

Given data ,

Let the translated triangle be represented as ΔM'N'P'

Now , the translation rule is T < 2 , -9 >

Let the coordinates of the triangle ΔMNP be

The coordinates of M = M ( -3 , 7 )

The coordinates of N = N ( 0 , 4 )

The coordinates of P = P ( 2 , 6 )

Now , applying the translation rule of T < 2 , -9 > for the triangle MNP , we get

The coordinates of M' = M' ( -3 + 2 , 7 - 9 )

The coordinates of M' = M' ( -1 , -2 )

The coordinates of N' = N' ( 0 + 2 , 4 - 9 )

The coordinates of N' = N' ( 2 , -5 )

The coordinates of P' = P' ( 2 + 2 , 6 - 9 )

The coordinates of P' = P' ( 4 , -3 )

Hence , the coordinates of triangle M'N'P' is M’(−1, −2), N’(2, −5), P’(4, −3)

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Answer:

16.74

Step-by-step explanation:

Answer:

sine A = four-fifths

Step-by-step explanation:

You have a rectangle triangle ABC with hypotenuse AB 35, side CB 28 and side CA 21. The angle C is 90°.

tanA =5\12

As

tanA = opposite\adjacent

= BC\AC

= 5\12

What is trigonometry?

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Answer:

In points (1,2), 1 is the value of X which represents Time in Hours and 2 is the value of Y which means Cost or $ per hour for the duration of the parking in the lot. I hope this helps.

Step-by-step explanation:

12 pieces can the sausage be cut if each piece is to be two-thirds of an inch.

Multiplication is the opposite of division. If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group. Creating equal groups or determining how many people are in each group after a fair distribution is the basic objective of division. In mathematics, division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that may be formed. For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each.

8 inches long. into how many pieces can the sausage be cut if each piece is to be two-thirds of an inch.

Divide 8 by 2/3

8÷ 2/3

8× 3/2

12

12 pieces can the sausage be cut if each piece is to be two-thirds of an inch.

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Mr. Kinders will have $83,858.77 in the RRSP after 20 years. The interest earned over this period will amount to $43,858.77.

To calculate the future value of Mr. Kinders' RRSP, we can use the formula for compound interest:

Future Value (FV) = P * (1 + r/n)^(nt)

Where:

P = Monthly contribution = $200.00

r = Annual interest rate = 3% = 0.03 (expressed as a decimal)

n = Number of compounding periods per year = 4 (quarterly compounding)

t = Number of years = 20

Substituting these values into the formula, we can calculate the future value:

FV = $200 * (1 + 0.03/4)^(4*20)

FV ≈ $83,858.77

Therefore, Mr. Kinders will have approximately $83,858.77 in the RRSP after 20 years.

To calculate the amount of interest earned, we can subtract the total contributions made from the future value:

Interest = FV - Total Contributions

The total contributions can be calculated by multiplying the monthly contribution by the number of months (20 years * 12 months/year = 240 months):

Total Contributions = $200 * 240

Total Contributions = $48,000

Substituting the values into the formula, we can calculate the interest:

Interest = $83,858.77 - $48,000

Interest ≈ $35,858.77

Therefore, the amount of interest earned in the RRSP over 20 years is approximately $43,858.77.

After 20 years of contributing $200 per month to his RRSP, compounded quarterly at an interest rate of 3% per annum, Mr. Kinders will have approximately $83,858.77 in his RRSP.

The interest earned during this period will amount to approximately $43,858.77. Compound interest calculations allow individuals to estimate the growth of their investments over time and make informed financial decisions.

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The given problem states that "A varies directly as the square root of m and inversely as the square of n."  When m=16 and n=8, the value of a is approximately 0.5.

The given problem states that "A varies directly as the square root of m and inversely as the square of n." Mathematically, this can be represented as:

A = k * (sqrt(m)) / (n^2)

where k is the constant of variation.

To find the value of k, we can use the given information: when m=81 and n=3, a=2. Plugging these values into the equation, we get:

2 = k * (sqrt(81)) / (3^2)

2 = 9k / 9

2 = k

So, the equation becomes:

A = 2 * (sqrt(m)) / (n^2)

Now we can find the value of a when m=16 and n=8:

a = 2 * (sqrt(16)) / (8^2)

a = 2 * 4 / 64

a = 8 / 64

a ≈ 0.125

Therefore, when m=16 and n=8, the value of a is approximately 0.5.

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So, Jemma gave away 0.30 percent and also gave 0.25 away all we have to do is add these two percents and we have our answer!

0.30% + 0.25% =

0.30 plus 0.25 equals to 0.0055 so you get your answer 0.0055!

Answer:

1. 1/12x

2.1/6x

3. 18

Step-by-step explanation:

Let

x=number of crackers in the box

On Monday, Alexander are 1/2 of the crackers

1/2 of x

=1/2x

Remaining

x-1/2x=2x-1/2

=1/2x

Tuesday=1/2 of what was left

=1/2 of 1/2x

=1/2×1/2x

=1/4x

Remaining

1/2x-1/4x

=2x-x/4

=1/4x

Wednesday=1/3 of what was left

=1/3 of 1/4x

=1/12x

Remaining

1/4x-1/12x

=3x-x/12

=2/12x

=1/6x

1. What fractional part of the total crackers originally in the box did Alexander eat on Wednesday?

1/12x

2. what fractional part of the total crackers originally in the box are left.

1/6x

3. if there are 4 crackers left in the box after Alexander finished eating crackers on wensday, how many crackers were in the box before it was opened.

1/6x=3

Divide both sides by 1/6

1/6x ÷ 1/6 = 3 ÷ 1/6

x=3÷1/6

=3 × 6/1

=18

x=18

Answer:

1) 1/12

2) 1/6

3) 18

Step-by-step explanation:

The usual speed of the bus is 60 km/hr.

Speed is the rate of change in location of an item, expressed in meters per second.

Given,

Let x be the usual speed.

Speed = Distance/ Time

Time = Distance/Speed

Bus usually travels 350 miles.

It takes time for it to get there = 350/x h

The bus departs this week at 6:10, though.

The 70-minute bus delay = 70/60 = 7/6 h

The bus's current speed is (x+10) miles per hour.

The new window of time for getting there is \(\frac{350}{x+10}\)

\(\frac{350}{x}\) + \(\frac{350}{x+10}\) = \(\frac{7}{6}\)

350(\(\frac{x+10-x}{x(x+10)}\) ) = \(\frac{7}{6}\)

350 ( \(\frac{10}{x^{2} +10x}\) )= \(\frac{7}{6}\)

7(x² +10x) = 6(350)(10)

x² + 10x = 3000

x² + 10x - 3000 = 0

x² -60x + 50x - 3000 = 0

x( x - 60) + 50(x - 60) = 0

(x + 50)(x - 60) = 0

x = -50 , x = 60

The usual speed of the bus is 60 km/hr.

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The measure of angles of intersecting lines are solved

Given data ,

When lines intersect, two angle relationships are formed:

Opposite angles are congruent

Adjacent angles are supplementary

a)

The total measure of angles = 90°

So , ( x + 16 )° + ( 3x + 2 )° = 90°

On simplifying , we get

4x + 18 = 90

Subtracting 18 on both sides , we get

4x = 72

Divide by 4 on both sides , we get

x = 18

Therefore , the angles are solved

b)

The angles on a straight line is supplementary = 180°

So , 3x° + 84° = 180°

Subtracting 84° on both sides , we get

3x = 96°

Divide by 3 on both sides , we get

x = 32

Therefore , the angles are solved

c)

The angles on a straight line is supplementary = 180°

So , ( 6x + 3)° + 87° = 180°

Subtracting 87° on both sides , we get

( 6x + 3)° = 93°

Subtracting 3 on both sides , we get

6x = 90

Divide by 6 on both sides , we get

x = 15

Therefore , the angles are solved

d)

The Opposite angles are congruent

So , 63° = 4x + 3

Subtracting 3 on both sides , we get

4x = 60

x = 15

Hence , the angles of intersecting lines are solved

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For the following frequency distribution The most likely attendance range is between 1,750 and 2,000.

To determine the most likely attendance range, we need to find the class interval with the highest frequency.

From the frequency distribution given, the class interval with the highest frequency is 1,750 up to 2,000, with a frequency of 20.

A frequency distribution is a table or graph that summarizes the frequencies of values or ranges of values in a dataset. It shows the number of times each value or range of values occurs in the dataset.To determine the most likely attendance range, we need to find the class interval with the highest frequency.

Frequency refers to the number of times a particular observation or value appears in a dataset. For example, if we have a dataset of test scores for a class of students, the frequency of a particular score would be the number of students who received that score.A frequency distribution is a table or graph that summarizes the frequencies of values or ranges of values in a dataset. It shows the number of times each value or range of values occurs in the dataset.

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Question 1: The item not included in the cost of merchandise inventory is "Purchase discounts."

2: The total cost of the merchandise is $3,332.00.

5: The company's gross margin and operating expenses, are $211,000 and $191,720.

Merchandise inventory expenses normally consist of the price paid for the inventory, deductions from the purchase price resulting from purchase returns and allowances, and freight expenses paid by the purchaser.

Although purchase discounts reduce the cost of merchandise inventory, they are not considered part of it. Instead, they are treated as a distinct discount in the accounting records.

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