I need help on this will give brainlist

I Need Help On This Will Give Brainlist

Answers

Answer 1
The answer is A because the point of reflection is located on -1 while it reflects horizontally

Related Questions

for the independent-measures t test, which of the following describes the estimated standard error of the difference in sample means (whose symbol is

Answers

For an independent-measures t test, the option that describes the estimated standard error of the difference in sample means is D. an estimate of standard distance between the difference in the sample mean and the difference in the corresponding population mean.

What is a T test?

A statistical test called a t test is employed to compare the means of two groups. It is frequently employed in hypothesis testing to establish whether a procedure or treatment actually affects the population of interest or whether two groups differ from one another.

The Independent Samples t Test compares the means of two separate groups to see if there is statistical support that the population mean values are statistically significantly different. A parametric test is called the Independent Samples t Test. For instance, you could determine whether first-year graduate salaries varied by gender using an independent t-test.

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Complete question

for the independent-measures t test, which of the following describes the estimated standard error of the difference in sample means (whose symbol is

a. a weighted average of the two sample

b. the difference between the standard deviationa

c. The variance

d. an estimate of standard distance between the difference in the sample mean and the difference in the corresponding population mean.

Find the volume of the solid.

Find the volume of the solid.

Answers

Answer:

64cm³

Step-by-step explanation:

( 4 x 4 x 4) cm x cm x cm

simplify 45÷3+2×8-12+43​

Answers

Answer:

62

Step-by-step explanation:

divide, then multiply, then calculate the sum or difference and you should get 62

Answer:

Many ways

Step-by-step explanation:

One of them being:

1. 15 + 16 -12 +43

Answer is 62 if wondering

(Brainliet?)

First, divide 45 by 3 which is 15

Then, multiply 2 and 8 which is 16

Add 15 and 16 which is 31

Subtract 12 and get 19

Add 43 adn get 62

$5.60 is what perecentage of $17.50?

Answers

Answer:

To find it's percentage divide $5.60 by

$17.50 and multiply it by 100%

That is

5.60/ 17.50 × 100%

= 32%

Hope this helps you

A right rectangular prism has a length of 15 cm width of 10 cm and a height of 5 cm savanna claims that doubling the length width and height of the prism will double its surface area is Savannah, correct?

Answers

No, Savannah is incorrect. Doubling the length, width, and height of a right rectangular prism will not double its surface area.

What is surface area?

Surface area is the total area of an object's exposed faces, including any external surface area. It is a measure of the size of a surface and is usually expressed in square units such as square meters or square centimeters. Surface area is a two-dimensional measurement, since it only takes into account the area of a surface, and not its thickness or volume.

The surface area of a right rectangular prism is calculated by multiplying the length by the width and then multiplying that number by two and adding the two products together.

For example, the surface area of a right rectangular prism with a length of 15 cm, a width of 10 cm, and a height of 5 cm is calculated as follows:

Surface area = (15 cm * 10 cm) + (15 cm * 5 cm) = 150 cm2 + 75 cm2 = 225 cm2

Doubling the length, width, and height of this right rectangular prism would give us a prism with a length of 30 cm, a width of 20 cm, and a height of 10 cm. The surface area of this new prism would be calculated as follows:

Surface area = (30 cm * 20 cm) + (30 cm * 10 cm) = 600 cm2 + 300 cm2 = 900 cm2

As you can see, doubling the length, width, and height of the right rectangular prism does not double its surface area - the surface area has increased by four times (900 cm2/225 cm2 = 4).

In conclusion, doubling the length, width, and height of a right rectangular prism does not double its surface area; rather, it increases the surface area by a factor of four.

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No, Savannah is incorrect. Doubling the length, width, and height of a right rectangular prism will not double its surface area.

What is surface area?

Surface area is the total area of an object's exposed faces, including any external surface area. It is a measure of the size of a surface and is usually expressed in square units such as square meters or square centimeters. Surface area is a two-dimensional measurement, since it only takes into account the area of a surface, and not its thickness or volume.

The surface area of a right rectangular prism is calculated by multiplying the length by the width and then multiplying that number by two and adding the two products together.

For example, the surface area of a right rectangular prism with a length of 15 cm, a width of 10 cm, and a height of 5 cm is calculated as follows:

Surface area = (15 cm * 10 cm) + (15 cm * 5 cm) = 150 cm2 + 75 cm2 = 225 cm2

Doubling the length, width, and height of this right rectangular prism would give us a prism with a length of 30 cm, a width of 20 cm, and a height of 10 cm. The surface area of this new prism would be calculated as follows:

Surface area = (30 cm * 20 cm) + (30 cm * 10 cm) = 600 cm2 + 300 cm2 = 900 cm2

As you can see, doubling the length, width, and height of the right rectangular prism does not double its surface area - the surface area has increased by four times (900 cm2/225 cm2 = 4).

In conclusion, doubling the length, width, and height of a right rectangular prism does not double its surface area; rather, it increases the surface area by a factor of four.

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Convert 900% to decimal​

Answers

Answer:

9

Step-by-step explanation:

900%=900/100=9

the answer is 9 !!!!!!!!!

Shahril bought a CD, 2 T-shirts and a pair of jeans for $133. Each
T-shirt cost $13 more than the CD. The pair of jeans cost $30 more
than each T-shirt. Find the cost of the CD.

Answers

Step-by-step explanation:

Let the price of CD, tshirt and jeans be x,y and z respectively.

given:

x+2y+2z=133......(i)

y=x+13.......(ii)

2z=y+30....(iii)

in eqn (iii) ,

2z=y+30

or, 2z=x+13+30

or, z=(x+43)/2....(iv)

now in eqn (i),

x+2y+2z=133

or, x+2(x+13)+2((x+43)/2) =133

or, x+2x+26+x+43=133

or, 4x=133-69

or, x= 64/4

•°• x=$16

A sweater was originally priced at $75 at a store. It’s price decreased by 8%. What is the sweater’s new price?

Answers

$69.

75x0.08=6 — 75-6=69.

An electronics store purchases laptops for $425.00. They use a markup rate of 60%. How much do they sell the laptop to their customers?

Answers

Given that An electronics store purchases laptops for $425.00.

markup rate of 60%.

Selling price is:

\(\begin{gathered} SP=425+(0.60)425 \\ Sp=425+255 \\ SP=680 \end{gathered}\)

they sell the laptop to their customers at $680.

20 POINTS!! PLEASE HELP!! GIVING BRAINLIEST:)

20 POINTS!! PLEASE HELP!! GIVING BRAINLIEST:)

Answers

Answer:

d

Step-by-step explanation:

Solve for x over the real numbers:

x^2 + 5 x + 6 = 0

The left hand side factors into a product with two terms:

(x + 2) (x + 3) = 0

Split into two equations:

x + 2 = 0 or x + 3 = 0

Subtract 2 from both sides:

x = -2 or x + 3 = 0

Subtract 3 from both sides:

Answer: |

| x = -2 or x = -3

Find the measure of the missing angle 17

Find the measure of the missing angle 17

Answers

Answer:

<A =73

Step-by-step explanation:

The sum of the angles of a triangle are 180

<C is 90

<B is 17

We need to find <A

<A + < B + <C = 180

<A + 17+90 = 180

<A + 107 =180

<A = 180-107

<A =73

Let C be the event that a randomly chosen adult has some college education. Let M be the event that a randomly chosen adult is
married. Given P(O) = .4, P(M)= .5 and PCN M) = 24, find each probability.

Answers

The Probability of C' based on the information is 0.5.

How to calculate the probability

Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur or that a particular statement is true.

Probability that the adult is college educated = 0.5

Probability that adult is Married = 0.4

Probability that the adult is married and educated = 0.24

Probability of C' will be:

= 1 - 0.5

= 0.5

Probability of C U M will be:

= 0.5 + 0.4 - 0.24

= 0.66

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Solve. Write the solution in interval notation.

Solve. Write the solution in interval notation.

Answers

The solution in interval notation is; (-∞,  49/2).

What is inequality?

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

To solve the equation 5/16x - 7/4 < 3/4x + 21/2, we can simplify both sides:

5/16x - 7/4 < 3/4x + 21/2

Combining like terms:

5/16x  -3/4x  < 21/2 + 7/4

8/16x < 49/4

1/2x < 49/4

Simplifying the fraction;

x < 49/2

Therefore, the solution in interval notation is (-∞,  49/2).

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The table shows the mass in grams of one at of each of several elements. List the elements in order from least mass to greatest mass per atom: hydrogen, carbon, oxygen, silver, gold.

The table shows the mass in grams of one at of each of several elements. List the elements in order from

Answers

Answer:

Option B

Step-by-step explanation:

The question can be solved without observing the masses and calculating them.

How?

Periodic table law states that masses get increased in group and get decreased in period.Hydrogen is the 1st element so it has least mass.

Now

Only option B and D has Hydrogen at first.

Rest omitted

Now coming to last elements Carbon and Gold

Gold is heavier as per periodic table.

So option B is correct

-6 + 3m + 2 - M + 8 simplified

Answers

Answer:

2(m+2)

Step-by-step explanation:

\(=-6 + 3m + 2 - m + 8\\\\=4+2m\\\\=2m+4\\\\=2(m+2)\)

\( \sf \dashrightarrow \: - 6 + 3m + 2 - m + 8\)

\( \\ \\ \)

\( \sf \dashrightarrow \: - 4 + 3m - m + 8\)

\( \\ \\ \)

\( \sf \dashrightarrow \: 3m - m + 4\)

\( \\ \\ \)

\( \sf \dashrightarrow \: 2m + 4\)

\( \\ \)

\( \sf \dashrightarrow \: 2(m + 2)\)

Tacoma's population in 2000 was about 200 thousand, and has been growing by about 8% each year. If this continues, what will Tacoma's population be in 2013?

Answers

Answer: The population will be 408,000 people.

Step-by-step explanation:

So in 2000 there were 200,000 people and it started to grow 8% every year so up to 2013.

so find 8% of 200,000 and then multiply it by the  the number of years.

8% * 200,000 =  16,000

Find the difference between the years.

2013 - 2000 = 13 years

13 * 16000 = 208000  This is the amount of new people from 2000 to 2013 so add it to the original population.

208,000 + 200,000 = 408,000  

A fruit stand has to decide what to charge for their produce. They need $5.30 for 1 apple and 1 orange.
They also need $7.30 for 1 apple and 2 oranges. We put this information into a system of linear equations,

Answers

Answer:

The price of Apples is $3.30 and the price of Oranges is $2.

Step-by-step explanation:

So first treat the price of apples and the price of oranges as variables. Let's say that the price of an apple is X and the price of an orange is Y.

1 Apple and 1 Orange is $5.30, so the equation is 1X + 1Y = 5.30

1 Apple and 2 Oranges is 7.30 so the equation is 1X + 2Y = 7.30

Now, adjust one of the equations so you can know the price of one thing in relation to the price of the other.

1X + 1Y = 5.30 can become 1X = 5.30 - 1Y

Now substitute this into the other equation.

1X + 2Y = 7.30 becomes 5.30 - 1Y + 2Y = 7.30. Now, either combine the Y values or combine the price values.

5.30 + 1Y = 7.30

Y = $2

Now that you have the Y value, replace it in one of the equations.

1X + 2$ = 5.30

1X = 3.30

help asap i need this tomorrow thanks!:)

help asap i need this tomorrow thanks!:)

Answers

a) The algebraic fraction \(\frac{{x + 2}}{{(x - 1)^2}}\) is proper. b) The algebraic fraction \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}}\) can be expressed as \(-\frac{{31}}{{x - 4}} - \frac{{25}}{{(x - 4)^2}}\).

Let's solve each part step by step and determine whether the fraction is proper or improper, and then express it accordingly.

a) \(\frac{{x + 2}}{{(x - 1)^2}}\):

Step 1: Determine the degree of the numerator and the denominator:

  - Degree of the numerator = 1 (linear term)

  - Degree of the denominator = 2 (quadratic term)

Since the degree of the numerator is less than the degree of the denominator, the fraction is proper.

Step 2: Express the proper fraction in partial fractions:

\(\frac{{x + 2}}{{(x - 1)^2}} = \frac{A}{{x - 1}} + \frac{B}{{(x - 1)^2}}\).

Step 3: Find the values of A and B:

Multiply both sides of the equation by \(((x - 1)^2)\) to eliminate the denominators:

  (x + 2) = A(x - 1) + B.

Expand the equation and collect like terms:

  x + 2 = Ax - A + B.

Equate the coefficients of like terms:

  Coefficient of x: 1 = A.

  Constant term: 2 = -A + B.

Solve the system of equations to find the values of A and B:

From the coefficient of x, A = 1.

Substituting A = 1 into the constant term equation: 2 = -1 + B, we find B = 3.

Therefore, the partial fraction decomposition is:

  \(\frac{{x + 2}}{{(x - 1)^2}} = \frac{1}{{x - 1}} + \frac{3}{{(x - 1)^2}}\).

b) \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}}\):

Step 1: Determine the degree of the numerator and the denominator:

  - Degree of the numerator = 2 (quadratic term)

  - Degree of the denominator = 2 (quadratic term)

Since the degree of the numerator is equal to the degree of the denominator, the fraction is proper.

Step 2: Express the proper fraction in partial fractions:

  \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}} = \frac{A}{{x - 4}} + \frac{B}{{(x - 4)^2}}\).

Step 3: Find the values of A and B:

Multiply both sides of the equation by \(((x - 4)^2)\) to eliminate the denominators:

  (4x^2 - 31x + 59) = A(x - 4) + B.

Expand the equation and collect like terms:

  4x^2 - 31x + 59 = Ax - 4A + B.

Equate the coefficients of like terms:

Coefficient of \(x^2\): 4 = 0 (No \(x^2\) term on the right side).

Coefficient of x: -31 = A.

Constant term: 59 = -4A + B.

Solve the system of equations to find the values of A and B:

From the coefficient of x, A = -31.

Substituting A = -31 into the constant term equation: 59 = 4(31) + B, we find B = -25.

Therefore, the partial fraction decomposition is:

  \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}} = -\frac{{31}}{{x - 4}} - \frac{{25}}{{(x - 4)^2}}\).

The above steps provide the solution for each part, including determining if the fraction is proper or improper and expressing it in partial fractions.

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The radius of a semicircle is 17.2 meters. What is the semicircle's area? Use 3.14 for ​ and round your answer to the nearest hundredth. square meters

Answers

Answer:

464.47m²

Step-by-step explanation:

π=3.14

r=radius

to get a circle's area u use the equation (πr²) and since it is a semicircle we divide that by 2 beacuse two semi circles make one circle so it is πr²/2

=(3.14*(17.2)²)/2

=464.4688

when rounded to the nearest hundredth it is

464.47m²

Answer:

r = 5 m

C = 31.415926535898 m

A = 78.54 m² /2 = 39.27 m²

r = radius

C = circumference

A = area

π = pi = 3.1415926535898

√ = square root

keith has a debt of $145.50 at the beginning of the summer. he wants to have at least 200 in the account at the end on the summer if he plans to save 75.50 each week what is the minimum number of weeks he’ll have to work in order to meet his goal?

Answers

Total amount he needs to save = 200 + 145.50 = 345.50


Number of weeks = total needed / weekly savings


345.50 / 75.50 = 4.57


He will need to work 5 weeks.

If a motorcycle is traveling at 5 m/s how long will take to travel 200 m/s

Answers

If the motorcycle is traveling at 5m/s it would take 40 to travel 200 m/s

Please help ASAP in math I have a picture

Please help ASAP in math I have a picture

Answers

Answer:

x = 25

Step-by-step explanation:

Those 2 angles together form a straight line which is equal to 180°. So you can set up an equation:

3x + 18 = 93

-18 -18

3x = 75

Divide both sides by 3

x = 25

sin theta =20 degrees opposite=45 find hyp

Answers

By trigonometric functions, the length of the hypotenuse is approximately equal to 131.571.

How to calculate the hypotenuse of a right triangle by trigonometric functions

In this problem we find the measure of an angle and its opposite side from a right triangle, whose representation is shown in the image attached below.

Trigonometric functions are transcendent expression that relates an angle of the right triangle with two sides of the same. We can find the measure of the hypotenuse by the definition of the sine function:

sin θ = h / r

Where:

θ - Angle of the right triangle.h - Length of the side opposite to the angle.r - Length of the hypotenuse.

If we know that h = 45 and θ = 20°, then the length of the hypotenuse is:

r = h / sin θ

r = 45 / sin 20°

r ≈ 131.571

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sin theta =20 degrees opposite=45 find hyp

4. In the above figure (not drawn to scale), AC=110,CB=20, AD=190, and BD = 40. Find ZAEC.
A. 75°
B. 105°
O C. 90°
O D. 150°

4. In the above figure (not drawn to scale), AC=110,CB=20, AD=190, and BD = 40. Find ZAEC.A. 75B. 105O

Answers

The angle ∠AEC in the chord intersection is 75 degrees.

How to find the angle when chord intersect?

If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

Therefore, let's use the chord intersection to find the angle ∠AEC as follows:

∠AEC = 1  /2 (110 + 40)

∠AEC = 1 / 2 (150)

∠AEC = 75 degrees

Therefore,

∠AEC = 75 degrees

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Which expression is equal to the polynomial below 2x^4+5x^3-8x-20

Answers

The expression that is equal to the given Polynomial expression is (x^3-4)(2x+5).

The polynomial expression given is 2x^4+5x^3-8x-20. We have to identify the expression that is equal to this given polynomial expression.

We will factor the given polynomial expression to determine the equivalent expression. We can use factorization by grouping to factor the expression completely and determine the equivalent expression .

Factorization by grouping:

We can group the first two terms 2x^4 and 5x^3 together and factor out x^3 from them. We can also group the last two terms -8x and -20 together and factor out -4 from them.

This gives us;2x^4+5x^3-8x-20= x^3(2x+5)-4(2x+5) =(x^3-4)(2x+5)

Therefore, the expression that is equal to the given polynomial expression is (x^3-4)(2x+5).

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Given the function f(x)=-3/5x+4 find f(x) =3

Answers

Answer:

5/3

Step-by-step explanation:

Plug the 3 into the equation.

3 = (-3/5)x+4

Solve.

-1 = (-3/5)x

5/3 = x

x = 5/3

limx→0 ((sin(1-cos4x))/(1-cos4x))

Answers

Finding the limit of the function limx→0 ((sin( 1- cos4x))/(1 - cos4x)) = 1

What is the limit of a function?

The limit of a function is the value which the function tends to as the dependent variable tends to a particular value.

Since we require the limit limx→0 ((sin(1-cos4x))/(1-cos4x))

So, substituting x = 0 into the equation, we have

limx→0 ((sin(1-cos4x))/(1-cos4x)) = ((sin(1-cos4(0)))/(1-cos4(0)))

=  ((sin(1 - cos(0)))/(1 - cos(0)))

=  ((sin(1 - 1))/(1 - 1))

= sin0/0

= 0/0

Since we have an indeterminate form, we use L'hopital's rule which states that if limx→0 f(x) = limx→0 g(x) = 0,

Then limx→0 f(x)/g(x) = limx→0 f'(x)/g'(x)

So, limx→0 ((sin( 1- cos4x))/(1 - cos4x)) = limx→0 d((sin(1-cos4x))/dx/d(1-cos4x))/dx

Let 1 - cos4x = u and 4x = v

1 - cosv = u

=  limx→0 d((sin(1 - cos4x))/dx/d(1 - cos4x))/dx

=  limx→0 d((sinu)/dx/du/dx

=  limx→0 d((sinu)/du × du/dv × dv/dx ×/du/dv × dv/dx

Now du/dv = sinv and dv/dx = 4 and d

So,

limx→0 d((sinu)/du × du/dv × dv/dx ×/du/dv × dv/dx =  limx→0 d((sinu)/du × sinv × 4 ×/sinv × 4

=  limx→0 cosu × sinv × 4 ×/sinv × 4

=  limx→0 cos(1 - cos4x) × sin4x × 4 ×/sin4x × 4

= cos(1 - cos4(0)) × sin4(0) × 4 /sin(4(0) × 4

= cos(1 - cos0) × sin(0) × 4 /sin(0) × 4

= cos(1 - 1) × 0 × 4 /0 × 4

= cos(0) × 0 × 4 /0 × 4

=  1 × 0 × 4 /0 × 4

= 0/0

Since   limx→0 f'(x)/g(x) = 0/0, we differentiate again.

So

limx→0 cos(1 - cos4x) × sin4x × 4 /sin4x × 4  =  limx→0 dcos(1 - cos4x) × sin4x × 4/dx/dsin4x × 4/dx

Let 1 - cos4x = u and 4x = v

1 - cosv = u

limx→0 [d((cosu)/du × du/dv × dv/dx × sinv + cosu dsinv/dv × dv/dx]/du/dv × dv/dx =  limx→0 d((sinu)/du × sinv × 4 ×/sinv × 4

=  limx→0 -sinu × sinv × sinv × 4 + 16cosvcosu /cosv × 4 × 4

=  limx→0 [-4sin(1 - cos4x) × sin²4x + 16cos4xcos(1 - cos4x)]/16cos4x

=  [-4sin(1 - cos4(0)) × sin²4(0) + 16cos4(0)cos(1 - cos4(0))]/16cos4(0)

=  [-4sin(1 - cos(0)) × sin²(0) + 16cos(0)cos(1 - cos(0))]/16cos(0)

=  [-4sin(1 - 1)) × (0) + 16(1)cos(1 - 1)]/16cos(0)

=  [-4sin(0)) × (0) + 16(1)cos(0)]/4cos(0)

=  [-4(0) × (0) + 16(1)(1)]/16(1)

= (0 + 16)/16

= 16/16

= 1

So,  limx→0 ((sin( 1- cos4x))/(1 - cos4x)) = 1

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Select all of the following indicators which would cause you to reject normality for a sample of data

Select all of the following indicators which would cause you to reject normality for a sample of data

Answers

The indicators which would cause you to reject normality for a sample of data are:

A histogram of the data shows bar heights decreasing from left to right.

A histogram of the data shows bar heights decreasing from right to left.

What is sample?

In statistics, a sample refers to a group of individuals, objects, or observations selected from a larger population. The sample is chosen to represent the population and to provide information about the characteristics, behavior, or preferences of the population. Sampling is a common method used in statistical analysis to estimate population parameters, such as the mean or standard deviation. By analyzing the sample data, researchers can draw inferences about the population from which the sample was drawn.

Here,

Both of these indicators suggest that the data is not symmetric and may have a skewed distribution. The following indicators suggest that the data is likely normally distributed:

A normal probability plot of the data follows a linear pattern.

A histogram of the data shows that all bars have similar heights.

A normal probability plot is a graphical tool used to assess the normality of a data set. If the plot follows a straight line, it suggests that the data is normally distributed. Similarly, a histogram with bars of similar heights suggests that the data is symmetric and may be normally distributed.

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Write the following comparison as a ratio reduced to lowest terms.
5 nickels to 40 dimes

Answers

The following comparison as a ratio reduced to lowest terms is 5:10

A ratio shows us the number of times a number contains another number. The given ratio of nickles to dimes in the reduced form can be written as 1/8.

What is a Ratio?

A ratio expresses the number of times one number contains another. For example, if a dish of the fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six. Similarly, the lemon to orange ratio is 6:8, while the orange to total fruit ratio is 8:14.

The given ratio of nickles to dimes in the reduced form can be written as shown below.

Nickels / Dimes = 5 /40

Divide both the numerator and the denominator by 5,

Nickels / Dimes = 1/8

Hence, The given ratio of nickles to dimes in the reduced form can be written as 1/8.

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What is the length hypotenuse of a right triangle with legs 8 units and 6 units?; What is the length of the hypotenuse for a right triangle with leg a 8 and leg B 15?; How do you find the length of one leg of a right triangle?; How do you find the length of the legs of a right triangle with the hypotenuse?

Answers

The length of the hypotenuse with legs 8 units and 6 units is 10 units and with leg 8 units and 15 units is 17 units. We calculate the length of a leg of the right triangle by using formula    \(h ^ {2} = p ^ {2} + b ^{2}\)

What is a right-angle triangle?

If one of the angles in a triangle is 90 degrees, the triangle is said to have a right angle. The term "right angle" refers to angles in right triangles that are 90 degrees. The side opposite in a 90° angle is the hypotenuse. The hypotenuse is always the longest side. The sum of the other two inner angles is 90 degrees.

What is the Pythagorean theorem for right angle triangle?

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry.

length of legs = 8 units and 6 units

hypotenuse = \(\sqrt {8 ^ {2}+6 ^ {2}}\) = 10 units

length of legs = 8 units and 15 units

hypotenuse = \(\sqrt {8 ^ {2}+15 ^ {2}}\) = 17 units

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