In a right triangle the length of a hypotenuse is c and the length of one leg is a. Find the length of the other leg b, if:
c=5, a=3

Answers

Answer 1

Answer:

b=4

Step-by-step explanation:

[tex]a^{2}+b^{2}=c^{2}[/tex]

[tex]3^{2}+b^{2}=5^{2}[/tex]

[tex]9+b^{2}=25[/tex]

[tex]b^{2}=16[/tex]

[tex]\sqrt{b^{2}} = \sqrt{16}[/tex]

b=4


Related Questions

PLEASE HELP
Shalane wants to open a snow cone shop in Panama City, Florida, but does not know if she should keep her shop open all year round, or just for a portion of the year. She decides to collect data on the relationship between the temperature outside and snow cone sales in Panama City in order to decide if her shop should remain open in the winter months. A scatter plot with a line of best fit that was generated with technology is shown.

Answers

The equation for the line of best fit in the slope and the intercept form is given as y₁ = 1.91944X₁ - 65.8518

What is the line of best fit?

A straight line that minimizes the gap between it and some data is called a line of best fit. In a scatter plot containing various data points, a relationship is expressed using the line of best fit. It is a result of regression analysis and a tool for forecasting indicators and price changes.

y₁ = mX₁ + b

we have m = 1.91944

b = -65.8518

The question requires us to fill in the values that we have into the corresponding equation.

We will have

y₁ = 1.91944X₁ + (-65.8518)

y₁ = 1.91944X₁ -65.8518

Read more on line of best fit here:https://brainly.com/question/1518824

#SPJ1

A gamer is observing her acore, y, as she plays a video game. She currently has 4,200 points and is gaining 250 points for every minute, x, she plays.

Which of the following equations can be used to describe this linear relationship

A. y = 250x - 4,200
B. y = 250x + 4,200
C. y = 4,200x - 250
D. y = 4,200x + 250

Answers

Answer is B - y=250x+4,200 , I know this because we’re adding the 250 to the 4,200 every earning.

buddy eats 3 cotton balls out of the 48 that are in the jar. what percentage has buddy eaten?

Answers

Answer: 6.25%

Step-by-step explanation:

You can set up a proportion:

[tex]\frac{3}{48}=\frac{x}{100}[/tex]

100 x 3 = 300

300/48 = 6.25

If a train is accelerating at 30m/s after it takes off from the train station and travels for 60 seconds, what was its final velocity?

Answers

The final velocity of the train is 30m/s.

What is acceleration?

The rate at which an object's velocity with respect to time changes is referred to as acceleration. When an object's velocity changes, it is said to have or be accelerating.

The rate of change in velocity over time is another name for acceleration. The magnitude of an acceleration vector indicates how much the velocity will change, while the vector's direction indicates how the velocity will change—whether the speed is rising or falling, the vector's direction is changing, or some combination of the three.

Given, initial velocity = 0 m/s (as the train starts from rest)

          time = 60 seconds

Acceleration = v - u / t = 30 - 0/ 60 =0.5 m/s square

We know,

v = u + at

v = 0 + (0.5 x 60)v = 30 m/s

To learn more about velocity visit the link given below

brainly.com/question/18084516

#SPJ1

What are the values of } a and b ?
a=
b=

Answers

The values of a and b in the given triangle are;

a = 59° and b = 6

What is the value of the missing angle?

From the given image, it is clear that in Triangle YVW that we have;

YV = WV

Now, a triangle that has two sides equal  is referred to as an Isosceles triangle which means that the two base angles are equal. Thus;

∠Y = ∠W = 31°

Now, the sum of angles in a triangle is 180° and as such;

∠YVW = 180 - 2(31)

∠YVW = 118°

Since VX is perpendicular to YW and so;

a = 180 - (90 + 31)

a = 59°

Thus; ∠WVX = 59°

This means that WX = YX = 6

Thus, b = 6

Read more about missing angle at; https://brainly.com/question/20387554

#SPJ1

What is a dominate number?

Answers

The (lower) domination number of a graph is the minimum size of a dominating set of vertices in , i.e., the size of a minimum dominating set. This is equivalent to the smallest size of a minimal dominating set since every minimum dominating set is also minimal.

30 POINTS The width of a rectangle is 4 inches shorter than its length. If the length of the rectangle is 7 inches, write and solve an addaition equation to find the width of the rectangle

Answers

Let w be the width of the rectangle. We can write an addition equation to represent the relationship between the width and length of the rectangle, as follows: w + 4 = 7

To find the width of the rectangle, we can solve this equation by adding 4 to both sides of the equation, which gives us: w + 4 + 4 = 7 + 4
w = 11

Therefore, the width of the rectangle is 11 inches.

There are three (3) different sections to sit at a stadium.The number if people who can sit in each section is described below.

~ Red section seats 200 people
~ Blue section seats 20 fewer people than the red section
~ Green section seats 2 times as many people as the blue section


What is the total number of people who can sit in the stadium when it is full?
How did you get an answer?

Answers

Answer:

Therefore, when the stadium is full, a total of 740 people can sit in the three sections.

Step-by-step explanation:

The red section seats 200 people.

The blue section seats 200 - 20 = <<200-20=180>>180 people.

The green section seats 180 * 2 = <<180*2=360>>360 people.

The total number of people who can sit in the stadium is 200 + 180 + 360 = <<200+180+360=740>>740 people.

Step-by-step explanation:

this is a college level question ?

and you don't know how to do this (because doing this yourself would have been much faster than posting the question and looking for the answer here) ?

oh my ...

red = 200

blue = red - 20 = 200 - 20 = 180

green = 2×blue = 2×180 = 360

total number = 200 + 180 + 360 = 740

(b) What should be added to the sum of 18x + 19y and 13xy + 12x to get 17xy-11y​

Answers

Answer:

4xy - 30y - 30x

Step-by-step explanation:

Lets say a=answer

Solve for a:

(18x + 19y) + (13xy + 12x) + a = 17xy-11y​

18x + 19y + 13xy + 12x + a = 17xy-11y​

18x + 12x + 19y + 13xy + a = 17xy-11y​

30x + 19y + 13xy + a = 17xy-11y​

30x + 19y-19y + 13xy + a = 17xy-11y​ - 19y  ==> subtract 19y on both sides

30x + 13xy + a = 17xy-30y

30x + 13xy-13xy + a = 17xy-13xy-30y ==> subtract 13xy on both sides to

                                                                isolate a

30x + a = 4xy-30y

30x - 30x = 4xy - 30y - 30x ==> subtract 30x on both sides to isolate a

a = 4xy - 30y - 30x  ==> simplify

May I have help on question 3 please I’ll give you brainliest

Answers

Answer:

B

Step-by-step explanation:

Dont think you need this

did i answer this correctly

Answers

Yes thats the correct answer

2. JOY leather, a manufacturer of leather Products, makes three types of belts A, B and C which are processed on three machines M1, M2 and M3. Belt A requires 2 hours on machine (M1) and 3 hours on machine (M2) and 2 hours on machine (M3). Belt B requires 3 hours on machine (M1), 2 hours on machine (M2) and 2 hour on machine (M3) and Belt C requires 5 hours on machine (M2) and 4 hours on machine (M3). There are 8 hours of time per day available on machine M1, 10 hours of time per day available on machine M2 and 15 hours of time per day available on machine M3. The profit gained from belt A is birr 3.00 per unit, from Belt B is birr 5.00 per unit, from belt C is birr 4.00 per unit. What should be the daily production of each type of belt so that the profit is maximum?
a) Formulate the problem as LPM
b) Solve the LPM using simplex algorithm.
c) Interpret the shadow prices

Answers

The shadow price of a constraint, the change in the objective function value for a unit change in (RHS) value of the constraint, with all other variables held constant.

What are constraints?

A constraint is a condition of an optimization problem that should be satisfied the condition.

We can formulate this problem as a linear programming model (LPM):

Suppose X1 be the number of belt A produced per day, X2 be the number of belt B produced per day and X3 be the number of belt C produced per day

The objective function is to maximize the profit;

3X1 + 5X2 + 4X3.

The constraints are as :

The time spent on machine M1 must be less than or equal to 8 hours per day so we get;

2X1 + 3X2 <= 8

The time spent on machine M2 must be less than or equal to 10 hours per day so we get;

3X1 + 2X2 + 5X3 <= 10

The time spent on machine M3 must be less than or equal to 15 hours per day so we get

2X1 + 2X2 + 4X3 <= 15

Thus number of belts produced must be positive:

X1, X2, X3 >= 0

To solve this LPM using the simplex algorithm,

Also the objective function is to minimize the cost, and all constraints are in the form of "less than or equal to" a certain value.

The pivot row is the row that corresponds to the smallest positive ratio between (RHS) value and the corresponding pivot column element the constraint 2X1 + 3X2 ≤ 8.

Now Interpret the shadow prices.

The shadow price of a constraint is the change in the objective function value for a unit change in (RHS) value of the constraint, with all other variables held constant.

Here the value of the constraints in the LPM and how they contribute to the optimal solution.

Learn more about constraints;

brainly.com/question/14438192

#SPJ1

The probability of winning a certain game is 0.5. If at least 70 percent of the games in a series of n games are won, the player wins a prize. If the possible choices for n are

n=10, n=20, and n=100,

which value of n should the player choose in order to maximize the probability of winning a prize?

a. n=10 only
b. n =20 only
c. n = 100 only
d. n =10 or n =20 only; the probabilities are the same.
e. n=10 or n=20 or n=100 ; the probabilities are the same.

Answers

The probability of winning a prize remains the same for,

e. n = 10 or n=20 or n = 100; the probabilities are the same.

What is the binomial theorem on probability?

In an experiment with two possible outcomes, the likelihood of exactly x successes on n repeated trials is known as the binomial probability (commonly called a binomial experiment).

From the information we get,

p = 0.5, So, q = 1 - 0.5 = 0.5.

If 70% of 'n' games are won then 30% of n games must be lost.

Let n = 10.

∴ [tex]P(x = 3) = ^{10}C_3p^7q^3[/tex].

[tex]P(x = 3) = ^{10}C_3(0.5)^7(0.5)^3[/tex].

P(x = 3) = 120×0.0078×0.125.

P(x = 3) = 0.117 Or 11.7% chance.

Now, Changing the value as all the 'n's are multiple of 10 and we'll have the same probability.

learn more about the binomial theorem on probability here :

https://brainly.com/question/29350029

#SPJ1

A basket contained 4 times as many blue balls as red balls. After 21
blue balls were taken away, there were twice as many red balls as blue
balls. How many balls were there in the basket at first?

Answers

The number of balls in the basket at first is 35.

How to find the number of balls in the basket?

A basket contained 4 times as many blue balls as red balls.

Therefore,

let

x = red balls

Hence,

number of blue balls = 4x

After 21 blue balls were taken away, there were twice as many red balls as blue balls.

2(4x - 21) =  x

8x - 42 = x

subtract 8x from both sides of the equation

8x - 42 = x

8x - 8x - 42 = x - 8x

-42 = - 7x

divide both sides by -7

x = -42 / -7

x = 6

Therefore,

red balls = 7

blue balls = 4(7) = 28

Total balls = 35

learn more on equation here:https://brainly.com/question/23714594

#SPJ1

Answer:

35

Step-by-step explanation:

don't ask

Based on the data shown in the graph, how many hours will it take the shipping company to pack 180 boxes

Answers

Step-by-step explanation:

I need the graph but it could be 216

let days-on-the-market be the dependent variable and price be the independent variable. b-1. determine the regression equation

Answers

To determine the regression equation, we need to fit a line to the data that best describes the relationship between the dependent variable and the independent variable. The equation of the line is typically expressed in the form:

y = a + bx

where y is the dependent variable, x is the independent variable, a is the y-intercept (the point at which the line crosses the y-axis), and b is the slope of the line (the rate of change of y with respect to x).

If we determine that a = 10 and b = 0.5, the regression equation would be:

Days-on-the-market = 10 + 0.5 * price

This equation describes the relationship between the dependent variable (days-on-the-market) and the independent variable (price). It tells us that for every unit increase in price, the number of days on the market is expected to increase by 0.5.

Learn more Regression equation here:

https://brainly.com/question/26843436

#SPJ4

Which statement about the figure MUST be true?

Answers

Answer:

The figure is an an isosceles triangle

Find the infinite sum of the geometric sequence with a = 4 , r = 4/6 if it exists.

Answers

Answer:

Step-by-step explanation:

The infinite sum of a geometric sequence is given by the formula:

S = a / (1 - r)

where a is the first term of the sequence and r is the common ratio. In this case, a = 4 and r = 4/6 = 2/3. Plugging these values into the formula above, we get:

S = 4 / (1 - 2/3) = 4 / (1/3) = 4 * 3 = 12

Therefore, the infinite sum of the geometric sequence with a = 4 and r = 2/3 is 12.

A rectangle has a width w inches and a height h inches where the width is twice the height

Answers

The expression for  the rate of change of A with respect to t is dA/dt = 4h * dh/dt in²/s. Option D

How to determine the value

The formula for calculating the area of a rectangle is expressed as:

A = wh

Given that;

h represents the variable for the heightw represents the variable for the width

From the information given, we have that;

If the width is twice the height

This is represented as;

w = 2h

Then, substitute the values into the formula for area of a rectangle

A = (2h)h

A = 2h²

Then, the rate of change of area will be expressed as;

dA/dt

Take the differentiation

dA/dt = dA/dh × dh/dt

dA/dt = 4h * dh/dt in²/s

Hence, the rate is dA/dt = 4h * dh/dt in²/s

Learn more about area here:

https://brainly.com/question/25292087

#SPJ1

The complete question:

A rectangle has width w inches and height h inches, where the width is twice the height. Both w and h are functions of time t, measured in seconds. If A represents the area of the rectangle, which of the following gives the rate of change of A with respect to t ?

A. dA/dt=4h in/sec

B. dA/dt=3h dh/dt in^2/sec

C. dA/dt=4h dh/dt in/sec

D. dA/dt=4h dh/dt in^2/sec

1
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
The diagram represents the design of a triangular-shaped photo frame. Match the segments and angles to the descriptions.
B
58°
82°
ZC
ZB
AC
C
ZA
AB
shortest side
longest side
smallest angle
BC

Answers

The description and measure of the segments and angles of the triangular-shaped photo frame, found using the triangle inequality theorem are;

Shortest side → ABLongest side → BCSmallest angle → ∠CLargest angle → ∠A

What is the triangle inequality theorem?

According to a triangle inequality theorem, the measure of the lengths of sides opposite angles of different measure, are also different and the the longest side of a triangle is opposite the largest angle of the triangle.

The interior angles of the photo frame are;'

∠B = 58°, ∠A = 82°

The angle sum property of a triangle indicates that we get the angle ∠C as follows;

∠C = 180° - 58° - 82° = 40°

The triangle inequality theorem indicates that the measure of the angles opposite sides that have different lengths are also different, such that the larger angle is opposite the larger side.

According to the triangle inequality theorem, we get;

The shortest side is opposite the smallest angle, which is the angle ∠C = 40°

The side opposite ∠C is AB,  therefore, the shortest side is AB

The longest side is opposite the largest angle, which is angle ∠A = 82°.

The side opposite the angle ∠A is BC, therefore, the longest side is BC

The smallest angle is the angle ∠C = 40°

The largest angle is the angle ∠A = 82°

Learn more about the triangle inequality theorem here:

https://brainly.com/question/12169404

#SPJ1

Clarence made a block of scented soap which weighed 2/3 of a pound. He divided the soap into 2
equal pieces. How much did each piece of soap weigh?

Answers

Three sets of two-thirds can be created since each whole produces a two-thirds and one half of another two-thirds.

How much the each piece of soap weigh ?

The number 0.666 is 2/3 in decimal notation.Consequently, there are a total of 5 components to distribute. (2+3=5) Consequently, you divide the value you want to share by five.Consequently, there are a total of 5 components to distribute. 2 + 3 = 5, therefore you divide the value you want to distribute by 5.

The two most frequent splits are 2-for-1 and 3-for-1, meaning that a stockholder receives two or three shares, respectively, for each share they currently own. When a corporation divides the number of shares that stockholders own, the market price rises in proportion.

Sixteen twenty-fourths (16/24) is a fraction that is equal to two thirds (2/3).

He cut the soap into two equal pieces, making it weigh 0.333333333 pounds.

To learn more about soap weigh refer to :

https://brainly.com/question/11996329

#SPJ1

DUE SOON! PLEASE HELP!

Answers

Answer:

A or C, but A is my guess.

Step-by-step explanation:

Answer:

A.) The sum will be an even integer.

Step-by-step explanation:

The conjecture that can be made about the sum of two even integers and one odd integer is that the sum will be an even integer. This is because even integers are numbers that are divisible by 2, and odd integers are numbers that are not divisible by 2.

For example, consider the sum of the even integer 6 and the odd integer 7. The sum of these two numbers is [tex]6 + 7 = 13[/tex], which is an odd integer. However, if we add another even integer to the sum, such as 4, the resulting sum is [tex]13 + 4 = 17[/tex], which is an even integer. This shows that the sum of two even integers and one odd integer is always an even integer.

This conjecture can be proven using mathematical induction. We can start by showing that the sum of any two even integers and one odd integer is always an even integer. Then, we can assume that the sum of any n even integers and one odd integer is also an even integer. Finally, we can show that the sum of n+1 even integers and one odd integer is also an even integer, using the assumption that the sum of n even integers and one odd integer is even. This will prove that the conjecture is always true.

A piece of art is in the shape of a rectangular pyramid like the figure shown.
How much glass is needed to cover the entire pyramid?

A: 102.53 ft2
B: 144.53 ft2
C: 198.06 ft2
D: 289.06 ft2

Answers

The area of the given pyramid will be 144.53 ft² thus option (B) is correct.

What is a pyramid?

With a base that is a polygon and sides that are three or more triangles that converge at the top.

A pyramid is a three-dimensional object in which three triangles intersect in such a way that the base side becomes a triangle.

As per the given pyramid,

Total surface area = 2 x(1/2)6 x 8 + 2 x (1/2)7 x 7.79 + 7 x 6

Total surface area = 24 + 27.265 + 42 = 144.53 ft²

Hence "The supplied pyramid will have a surface area of 144.53 feet²".

To learn more about pyramids,

https://brainly.com/question/17615619

#SPJ1

Mr. Jones’ doctor told him that he should not be active until he had 50 mg or less of the medicine left in his body. How long did it take for Mr. Jones to be able to be active? Give your answer to the nearest tenth (0.1) of an hour.

Answers

Without more information, it is not possible to determine how long it took for Mr. Jones to have 50 mg or less of the medicine left in his body. Factors such as the type of medicine, the dosage Mr. Jones was taking, and his metabolism can all affect the amount of time it takes for the medicine to be metabolized and eliminated from his body. It is important for Mr. Jones to follow the instructions given to him by his doctor and to consult with his doctor if he has any questions or concerns.

which of these graphs does not show a valid probability distribution? choose 1 answer: choose 1 answer:

Answers

The graph that does not show a valid probability distribution is option A.

Probability distribution refers to the mathematical function that provides the probabilities of occurrence of different possible outcomes for an experiment. It is a mathematical description of a random phenomenon in terms of its sample space and the probabilities of events. In order to determine if a probability distribution is valid, there are two criteria that must be checked. First determine whether each probability is greater than or equal to 0 and less than or equal to 1. Secondly, determine whether the sum of all of the probabilities equals 1. If both the conditions are true, then the probability distribution is valid, otherwise, the probability distribution is not valid. Based on the provided graphs, the first condition is met for all but the second condition is untrue for option A as the sum of probability is less than 1. Hence it is not a valid probability distribution.

Learn more about Probability distribution:

https://brainly.com/question/23286309

#SPJ4

Nick owns 500 shares in a manufacturing company. The company pays a dividend of $1.05 per share. The shares currently trade for $15.00 in the stock market. What is the current dividend yield on Nick's investment?

Answers

See if you own 500 go she manufacturing company they company will pay 1000 because if you add 500 and 500 it gets the answer

the line of best fit is given as y = 9 - 3x. Find the value of y when x = -3.

Answers

Answer:

y = 18

Step-by-step explanation:

Substitute the given x-value into the line of best fit

[tex]y = 9-3x[/tex]

[tex]y = 9-3(-3)[/tex]

[tex]y = 9 +9[/tex]

[tex]y = 18[/tex]

Answer:18

Step-by-step explanation:

9-3(-3)=18

Change the given form into the decimal form. 7 1/4 %

Answers

We know that,

With the help of example,

5/3

Numerator= number of equal parts of remaining

Denominator=total number of equal parts.

According to question.

Given data in the question,

Multiply the whole number by the denominator.

7×4=28………………. (1)

Adding 1 in numerator

28+1=29

Divide by 4 in denominator

29 divided by 4

7.25

the decimal form of 7 1/4% is 7.25

to know more about decimal form, visit

https://brainly.com/question/7044059

#SPJ1

After changing 7 1/4 percent into decimal we get, 7.25.

What is decimal?

In mathematics, decimals can be used as an alternative to fractions. You can express a fraction in decimal form, such as 0.5, rather than writing it out as 1/2, with zero in the place of the one and five in the place of the ten. Decimus, which means tenth in Latin, is the root of the word decimal. The decimal system is also known as a base-10 system because it uses 10 as its fundamental unit.

Decimal refers to any number in the decimal system. They are employed in the expression of both whole numbers and fractions. A "." (known as a decimal point) is inserted to demarcate the whole number from the fraction. The space between the digit in the ones place and the digit in the tenth place is known as the decimal point, and it serves as the separator between them.

Given that 7 1/4 %

in proper form it will be written as

=(7×4)+1 /4

= 29/4

now dividing 29 by 4 we get

7.25

Learn more about Decimal

https://brainly.com/question/29765582

#SPJ1

a survey of adults found that 7% say thier favorite sprt is auto racing out of 500 adults what is the probability that the number of people who say auto racing is their favorite sport is a most 41

Answers

Answer:

Step-by-step explanation:

Find the y-intercept of the line: 2x−5y+7=0

Answers

Answer:

Below

Step-by-step explanation:

Arrange the given equation into y = mx + b form of a line

       'b' is the y-axis intercept

2x-5y+7 = 0

5y = 2x+7

y = 2/5 x + 7/5

Answer:

(0, 7/5)

Step-by-step explanation:

Other Questions
Which of the following is not an example of coevolution? A. Prey evolve faster running to escape, and predators evolve to smarter at catching prey. B. Predators evolve heavy jaws to crunch the bones of herbivores, and herbivores evolve thick fur for warmth. C. Plants evolve chemical defenses and herbivores evolve ways to neutralize the chemicals. D. Insects evolve green wings to blend into the environment, and predators evolve better eyesight to find the prey. Explain why. 7th grade math please help heh A international company has 26,700 employees in one country. If this represents 31.6% of the company's employees,how many employees does it have in total 50 POINTS!!LANDSCAPE WITH THE FALL OF ICARUSWrite a paragraph addressing what you think might be the theme of this poem. Ultimately, there is no absolutely right answer, however there are some that might be a bit better than others. You can prove that you've chosen wisely by giving support for your claim by citing specific lines from the poem and discussing how those lines demonstrate yourtheme interpretation in some way. Submit the paragraph to your instructor. Can someone help me with this bell work, it is due at 2:15. It is attached! When a patient experiences respiratory alkalosis, thephysiological compensation will be what? When was the Battle of the Bulge? (WWII) someone please please help with this I would really appreciate it ! The writer uses connotations that A) are neutral. B) suggest positive things about Olympic runners. C) suggest negative things about the Peachtree Road Race. Eliminate D) suggest positive things about the Peachtree Road Race. What is the power of a circuit with voltage 12 V and current 8.0A? How are gravity and friction similar? when do i know if the acceleration (a) in newtons second law is 0? Hey! Can you give me some help? Which type of writing is likely to rely more on facts and numbers?*a journal entry* biography*a letter of advice*a newspaper article Do you think Hamilton the musical can be related to what is happening now? Why or why not ? help please im confused Journalize the entry for Hot Rod Service using the following data from the payroll register: Regular earnings $16,370 Overtime earnings 903 Federal income tax withheld 2,268 Social Security tax withheld 827 Medicare tax withheld 194 Pension contribution from employees 711 Health insurance premiums 807 If an amount box does not require an entry, leave it blank.Date Description Post Ref. Debit Credit What happens with electrons when atoms form covalent bonds? Which of the following is an algebraic expression that represents the phrase X increased by 20 Help ASAP ill mark brainliest Which of the following happens during interphase? A prophase B cell growth C cytokinesis D cell division