- A right triangle has a hypotenuse of 5 feet. One leg measures one foot
less than the hypotenuse. What are both legs' measures?

Answers

Answer 1
One leg measure is 4ft, the other is 3ft.

Related Questions

Would having deadbolt locks on exterior doors affect a homeowner's insurance policy price? Why or why not? Answer in complete sentences.

Answers

Answer:

Having a deadbolt lock installed on the exteriors of a building would affect the price of Insurance.

The principles of insurance require that the Insurance Policy Holder or Insured should act as if uninsured. This means that even with an Insurance Policy in place, the owner of this house is required to ensure that all reasonable steps have been taken to secure the house.

This may include having a properly installed lock in place.

The price or insurance premium of a homeowner may go up very significantly if there is no lock installed, that is if the risk is accepted for coverage by the insurance company.

It (the premium that is) may or may not come down if there is a deadbolt lock in place. It all depends on the extent to which the deadbolt lock has reduced the exposure of the Insurance company. Where the deadbolt lock has very significantly reduced the risk, the policyholder may press for a reduction in insurance premium.

In most Homeowners Insurance policy, for a claim concerning theft of insured home items, the policyholder has to provide evidence of forceful entry or exit, showing that the house was reasonably secured to warrant a breaking in or breakout.

Cheers!

   

Please help me idk this

Answers

Answer:

34.54 inches.

Step-by-step explanation:

The formula for the circumference of the circle is given as [tex]C=\pi d[/tex], where [tex]\pi[/tex] is rounded to 3.14 and d is the diameter of the circle, 11 inches. Simply plug these values into the equation for the circumference to get your answer:

[tex]C=\pi d\\C=(3.14)*(11)[/tex]

C = 34.54 inches

Answer:

34.54 inches

Step-by-step explanation:

C=πd

d=11

C = 11 * 3.14

C = 34.54 inches

You have a wire that is 74 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The other piece will be bent into the shape of a circle. Let A represent the total area of the square and the circle. What is the circumference of the circle when A is a minimum

Answers

Answer:

32.55 cm  

Step-by-step explanation:

         Let x = the length of wire that becomes a circle.

Then 74 - x = the length of wire that becomes a square

Circumference of circle + perimeter of square = 74

1. Expression for the side of the square

P = 4s = 74 - x

s = ¼(74 - x)

2. Expression for the radius of the circle

C = 2πr = x

r = x/(2π)

3. Expression for the total area

[tex]\begin{array}{rcl}\text{Total area} & = &\text{area of circle+ area of square}\\A & = & \pi r^{2} + s^{2}\\& = &\pi \left(\dfrac{x}{2 \pi}\right)^{2} + \left (\dfrac{1}{4}(74 - x)\right)^{2}\\\\ & = & \dfrac{x^{2}}{4 \pi} + \dfrac{1}{16}(5476 - 148x + x^{2})\\\\ & = & 0.07958x^{2} + 342.25 - 9.25x + 0.0625x^{2}\\A & = & 0.1421x^{2} -9.25x + 342.25 \\ \end{array}[/tex]

This is the equation of a parabola.

In standard form,

ƒ(x) = 0.1421x² -9.25x + 342.24

a = 0.1421; b = -9.25; c = 342.24  

The parabola opens upwards, because a > 0. Therefore, the vertex is a minimum.

The vertex of a parabola occurs at

x = -b/(2a) = 9.25/(2 × 0.1421) = 9.25/(0.2842) = 32.55

The circumference of the circle is 32.55 cm.

The graph below shows that the area of the circle is a minimum when x = 32.55 cm

A growth medium is inoculated with 1,000 bacteria, witch grow at rate of 15% each day. What is the population of the culture 6 days after inoculation?

Answers

Answer: the population of the culture 6 days after inoculation is 2313.

Step-by-step explanation:

The growth rate is exponential. We would apply the formula for exponential growth which is expressed as

y = b(1 + r)^ t

Where

y represents the population after t days.

t represents the number of days.

b represents the initial population.

r represents rate of growth.

From the information given,

b = 1000

r = 15% = 15/100 = 0.15

t = 6 days

Therefore

y = 1000(1 + 0.15)^6

y = 1000(1.15)^6

y = 2313

Keio and Taylor relapse after school to train for the baseball team the ratio of the number of laps Kyle ran to the number that Taylor 2 to 3 Kyle ran six slabs how many laps did Taylor

Answers

Answer: 9 miles

Step-by-step explanation: 6 divided by 2 is 3 and 3 times 3 is 9.

what is the limit of the infinite series?

Answers

Answer:

Zero

Step-by-step explanation:

There is no solution to this.

A box contains 400 black pens and 50 red pens. Jose said the sum of the probability that a randomly selected pen will not be black and the probability that the pen will not be red is 1, P(not black) + P(not red) = 1. Do you agree with him? Complete the explanation to answer the question.


I (disagree/agree) with Jose that the sum of the probability that a randomly selected pen will not be black and the probability that the pen will not be red is 1.

Answers

Answer:

I agree with Jose that the sum of the probability that a randomly selected pen will not be black and the probability that the pen will not be red is 1.

Step-by-step explanation:

If we sum the probability of not black and probability of not red, we will get 1.

The probability of not black means probability of red i.e 50/450

The probability of not red means probability of black i.e 400/450.

When we add the probability, we get 1.

50/450 + 400/450 = 450/450 = 1

Invariably, the statement is same as finding probability of black and probability of red; just that the value are interchanged.

Which name accurately describes the figure shown below and why?.

Answers

Answer:

the third answer is right

Step-by-step explanation:

its a rhombus because the 4 sides are of equal length and the opposite sides are parallel but there are no right angles.

The correct answer is actually the first one because if you google pictures of a trapeziod you’ll see this shape and it says that the sides have to be parallel

How many minutes is it from 4:00 to 4:30

Answers

Answer:

30 minutes

Step-by-step explanation:

Just look at the minutes only. Since you need 4 o'clock to 4:30, its only 30 minutes.

Answer:

30 minutes

Step-by-step explanation:

All you have to do is subtract 4:30 and 4:00 and get 30 minutes.

I need another help again my bros​

Answers

Answer:

a = 15.59   c= 31.18

27 tan 30 = a

c cos 30 = 27

c = 27/cos30

c = 31.18

Hope this helps with the answer to your question

please give answer ?

Answers

Answer:

M=(-8, -3.5)

Step-by-step explanation:

The midpoint formula for two points is [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]. Plugging in our numbers, you get [tex](\frac{-9-7}{2},\frac{-10+3}{2})=(-8, -3.5)[/tex]. Hope this helps!

line n passes through the points (-3 -7.5) and (2 -5) tahlia determined that the equation of line n is y = 0.5x. explain the error Tahlia made while determining her equation. Be sure to include the correct equation in your explanation

Answers

Answer:

She forgot to find the y intercept add it in the equation

y = .5x-6

Step-by-step explanation:

First we need to find the slope

m = (y2-y1)/(x2-x1)

   = (-5 - -7.5)/ (2 - -3)

   =(-5 +7.5)/( 2+3)

   = 2.5/5

   = 1/2

Substitute into the slope intercept form of the equation

y= mx+b

y= .5x +b

We need to determine b by substituting a point into the equation

-5 = .5(2) +b

-5 = 1+b

Subtract 1 from each side

-5-1 = 1-1+b

-6 = b

y = .5x-6

Answer:

She forgot the y-intercept

y = 0.5x - 6

Step-by-step explanation:

y = 0.5x + c

-5 = 0.5(2) + c

c = -6

Correct equation:

y = 0.5x - 6

6.5% of people in the U.S. Have A- blood type. You randomly select 6 Americans and ask them if their blood type is A-. a) Find the probability that all 6 are type A-. b) Find the probability that at most 4 of them are type A-. c) Find the mean and standard deviation.

Answers

Answer:

a) 7.54189*10^-8

b) 0.99999999

c) E ( X ) = 0.39 , s ( X ) = 0.604

Step-by-step explanation:

Solution:-

- We will assume the proportion of people with A- blood group is independent and remains constant for a fairly small sample of n = 6 Americans selected at random.

- We will denote a random variable X = The number of americans out of 6 that have blood group type A-.

- The random variable is assumed to follow binomial distribution.

- The probability of success is the proportion of people in U.S that have blood group type A-, p = 0.065:

                        X ~ Bin ( 6 , 0.065 )

Where, r represents the number of americans out of selected 6 have blood group A-. The pmf of a binomial variate is given as:

                       P ( X = r ) = nCr * ( p ) ^r * ( 1 - p ) ^ ( n - r )

a) Find the probability that all 6 are type A-

- We will pmf given above and set r = 6. And evaluate the resulting probability:

                     P ( X = 6 ) = 6C6 * ( p )^6 * ( 1  - p ) ^ ( 0 )

                                      = p^6

                                      = ( 0.065 )^6  

                                      = 7.54189*10^-8

b) Find the probability that at most 4 of them are type A-

- We will pmf given above and evaluate the following expression:

                     P ( X ≤ 4 ) = 1 - P ( X = 5 ) - P ( X = 6 )

                     P ( X ≤ 4 ) = 1 - 6C5 * ( p )^5 * ( 1  - p ) ^ ( 1 ) - p^6

                                      = 1 - 6*(0.065)^5 ( 0.935 ) - 0.065^6

                                      = 1 - 6.50923*10^-8 - 7.54189*10^-8        

                                      = 0.99999999          

c) Find the mean and standard deviation.

- The mean E ( X ) of the defined random variable distributed binomially is given by:

                     E ( X ) = n*p = 6*0.065 = 0.39 people

- The mean s( X ) of the defined random variable distributed binomially is given by:

   

                    s ( X ) = √n*p*q = √(6*0.065*0.935) = 0.604

What is the function g(x) created from f(x) = x^2 by moving the graph left 9 units, vertically stretching it by a factor of 4, and shifting the graph up 5 units?

Answers

Given:

The parent function is [tex]f(x)=x^2[/tex]

We need to determine the function g(x) created from the function f(x) by moving the graph left 9 units, vertically stretching it by a factor of 4, and shifting the graph up 5 units.

Shift left 9 units:

The rule to shift the graph c units to the left is given by

[tex]y=f(x+c)[/tex]

where c is the positive real number.

Hence, to shift the graph 9 units to the left is given by

[tex]f(x)=(x+9)^2[/tex]

Vertical stretch by a factor of 4:

The rule to stretch the graph vertically by a factor of c is given by

[tex]y=cf(x)[/tex]

where [tex]c>1[/tex]

Hence, to stretch the graph vertically by a factor of 4, we have;

[tex]f(x)=4(x+9)^2[/tex]

Shifting 5 units up:

The rule to shift the graph c units upward is given by

[tex]y=f(x)+c[/tex]

where c is the positive real number.

Hence, to shift the graph 5 units upward is given by

[tex]f(x)=4(x+9)^2+5[/tex]

Therefore, the function [tex]g(x)=4(x+9)^2+5[/tex] is created from the graph [tex]f(x)=x^2[/tex] by moving the graph left 9 units, vertically stretching it by a factor of 4 and shifting up 5 units.

Hence, the graph g(x) is [tex]g(x)=4(x+9)^2+5[/tex]

Final answer:

The function g(x) created from f(x) = x^2 by moving the graph left 9 units, vertically stretching it by a factor of 4, and shifting the graph up 5 units is g(x) = 4*(x+9)^2 + 5.

Explanation:

To generate the function g(x) from f(x) = x^2, you will perform several transformations on it:

A horizontal shift of 9 units to the left. To do this, you change the x inside the function to (x+9). A vertical stretch by a factor of 4. To do this, you multiply the whole function by 4.A vertical shift of 5 units up. To do this, you add 5 to the entire function.

So, after performing these transformations to f(x) = x^2, you get the function g(x) = 4*(x+9)^2 + 5.

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John goel is to have more then -7 dollors in hisaccount by the end of this mounth. the varible d is the nuber of dollor in johns bank account at the end of the mounth. Whrite an lineqwalatiy in terms of d that is true only if john meets hif monthy goal

Answers

Answer:

d > - 7

Step-by-step explanation:

John is to have more then -7 dollars in his account by the end of this month.

Now,  the variable d is the number of dollars in John's bank account at the end of the month.

Therefore, the inequality in terms of d that is true only if John meets his monthly goal will be

d > - 7 (Answer)

Advertisers often refer to CPM (Cost per thousand people reached) when quoting advertising rates. If a website
promises to reach 23,000 people for $1,540, what is the CPM? (Round to the nearest dollar.)
a) $67
b) $108
c) $150
d) $185

Answers

Answer:

$67

Step-by-step explanation:

There are 23 thousand clicks, so as it pays per thousand you need to divide $1 540 by 23, which results in 66.9.... reacurring which when rounded is (a) for $67.

Two lines are perpendicular if they cross a 45° angle true or false​

Answers

Answer: False

Step-by-step explanation:

What is twice a number minus 4 is less than three times the number?

Answers

X will represent unknown
2x-4<3x
treat the < sign as a = sign
2x-4=3x
subtract 2x form both sides
-4=x
put the < sign back
-4-4 is less than than x or
x is greater than -4

Answer:

[tex]n > -4[/tex]

Step-by-step explanation:

Step 1:  Convert into an expression

Twice a number minus 4 is less than three times the number

   [tex]2n - 4 < 3n[/tex]

Step 2:  Solve for the number

[tex]2n - 4 - 2n < 3n - 2n[/tex]

[tex]-4 < n[/tex]

Answer:  [tex]n > -4[/tex]

When ringing up a customer,a cashier needs 10seconds to process payment as well as 1second to scan each item being purchased .How long does it take to ring up a customer with 37 items ? Answer

Answers

Answer:

  47 seconds

Step-by-step explanation:

It takes 37 seconds to scan 37 items at the rate of 1 second per item. It takes an additional 10 seconds to process the payment. Then the total time is ...

  37 +10 = 47 . . . seconds

SOLVE X/5+3=2
A)-5
B)25
C)5
D)-1/5

Answers

Answer:

b 25

Step-by-step explanation:

Answer:

A)-5 if its without parenthasis around 5+ 3

Step-by-step explanation

2 minus 3 is -1 and -1 times 5 is -5

Which equations are equivalent to y = two-thirds x minus 4 when written in slope-intercept form? Check all that apply.
3 x minus 2 y = 4
2 x minus 3 y = 12
Negative 4 (2 x minus 3 y) = negative 4 (12)
2 (x + 6) = 3 y
2 x minus 3 y = 4

Answers

Answer:

2 x minus 3 y = 12

Negative 4 (2 x minus 3 y) = negative 4 (12)

Step-by-step explanation:

y = two-thirds x minus 4

y = (⅔)x - 4

Multiply the entire equation by 3

3y = 2x - 12

2x - 3y = 12

Multiply both sides by -4

-4(2x - 3y) = -4(12)

Answer:

b

Step-by-step explanation:

What is the expression of 8 more than a number x

Answers

"more" means added to, or addition. So 8 more than 'x' is:

x + 8

Which measure of center would you use to compare the populations represented by the box plots?


Which measure of variability would you use to compare the populations represented by the box plots?


Answers

Answer:

Median and Interquartile range (IQR)

Step-by-step explanation:

I did it :)

A circle has a radius of 32 inches. Find the circumference of the circle to the nearest tenth. Use 3.14 for PI.

Answers

Final answer:

The calculation of the circumference of a circle with a radius of 32 inches, using 3.14 for PI, gives a result of 201.0 inches.

Explanation:

The subject of this question involves calculating the circumference of a circle. The formula used to find the circumference of a circle is 2πr, where r is the radius of the circle. Here, π is approximated to 3.14 as given in the question, and the radius r is given as 32 inches.

Substituting the given values into the formula, we get circumference = 2 * 3.14 * 32 = 200.96 inches. Thus, the circumference of the circle to the nearest tenth is "201.0 inches."

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Which set of three angles could represent the interior angles of a triangle? 26 degrees, 51 degrees, 103 degrees 29 degrees, 54 degrees, 107 degrees 35 degrees, 35 degrees, 20 degrees 10 degrees, 90 degrees, 90 degrees

Answers

Answer:

26 °, 51 °, 103 °

Step-by-step explanation:

-A triangle is a 3-sided regular polygon.

-The sum of it's interior angles add up to 180°.

-Only the 26 °, 51 °, 103 ° set add exactly up to 180° and therefore satisfies the triangle's interior angles condition.

Answer:

The answer A trust me

Step-by-step explanation:

What is the greatest common factor
of 48 and 120?

Answers

Answer:

24

Step-by-step explanation:

urgent !! Convert the following equation to logarithmic or exponential form:

log subscript 49 left parenthesis 7 right parenthesis equals 1 half


Your answer:

49 to the power of 7 equals 1 half


7 to the power of 49 equals 1 half

open parentheses 1 half close parentheses to the power of 7 equals 49

49 to the power of 1 half end exponent equals 7

Answers

Answer:

The exponential form is 49 to the power of one-half equals 74th answer

Step-by-step explanation:

The exponential equation of  [tex]log_{b}(m)=n[/tex]  is [tex]b^{n}=m[/tex] , where b is the base, n is the exponent of b and m is the value of [tex]b^{n}[/tex]

Ex: If  [tex]log_{3}(81)=4[/tex] , that means b = 3 , n = 4 and m = 81, then its exponential form is [tex]3^{4}=81[/tex]

Now let us solve the question

∵ The equation is  [tex]log_{49}(7)=\frac{1}{2}[/tex]

∴ The base is 49

∴ The exponent is [tex]\frac{1}{2}[/tex]

∴ The answer is 7

- Substitute them in the form of the exponential form

The exponential form is [tex](49)^{\frac{1}{2}}=7[/tex]

The exponential form is 49 to the power of one-half equals 7

Final answer:

The given equation is log49(7) = 1/2. To convert it to exponential form, we can write it as 49^(1/2) = 7.

Explanation:

The given equation is:

log49(7) = 1/2

To convert this equation to exponential form, we need to remember that logarithms and exponentials are inverse functions. Therefore, we can write the equation as:

491/2 = 7

Hence, the exponential form of the given equation is 49 raised to the power of 1/2 equals 7.

Please someone help me answer this! Rico is making 6 batches of salsa. Each batch needs 3/4 cup of corn. He only has 1/4 cup measure. How many times must Rico measure 1/4 cup of corn to have enough for all the salsa?

Answers

Answer:

18

Step-by-step explanation:

3/4 divided by 1/4 equals 3

3 times 6 equals 18

The function () = 2 + 4 was replaced with ( + ) resulting in the function
() = 2 + 22. What is the value of ?

Answers

Let's evaluate explicitly [tex]f(x+k)[/tex]:

[tex]f(x)=2x+4\iff f(x+k)=2(x+k)+4=2x+2k+4[/tex]

If this must equal [tex]2x+22[/tex], we have

[tex]2x+2k+4=2x+22 \iff 2k+4=22 \iff 2k=18 \iff k=9[/tex]

Answer:

For what values of does the equation (2 + 1)^2 + 2 = 10 − 6 have two real and equal roots?

Step-by-step explanation:

For what values of does the equation (2 + 1)^2 + 2 = 10 − 6 have two real and equal roots?

Histidine has 3 nitrogens. arrange the indicated nitrogens in decreasing order of basicity (1 = most basic, 3 = least basic). if there are fewer than 3 nitrogens in the molecule, leave that answer space blank. if two nitrogens have the same basicity, give them the same number. histidine

Answers

Answer:

Nitrogen 7  = 1     ---- Most Basic

Nitrogen 1 =  2    

Nitrogen 3 =  3    ------ Least Basic

Step-by-step explanation:

The basicity of amino acids is as a result f the unshared pair of electrons in the Nitrogen atoms.

Part of the rule of basicity of organic compounds(amino acids) posits that:

The more  unstable an electron pair is, the more basic it is.

From the diagram attached below;

Nitrogen 7 posses and unstable electron due to the lone pair of electron in the NH₃⁺ which renders it most basic .

Nitrogen 1 and 3 are in ring form thereby they are less basic But nitrogen 1 is  more basic compared to nitrogen 3 because lone pair on Nitrogen 1 is not involved in resonance unlike Nitrogen 3 that is  resonance stabilized (i.e alternating by a resonance effect).

Another phenomenon to deduce the basicity of Histidine is the effect of hybridization.

Basicity of Organic Compounds increases with decreasing s character.

Therefore, the trend of basicity is as follows: sp³ > sp² > sp

Because in sp; the lone pairs are most stable, hence least basic

And in sp³; the lone pairs are least stable; hence most basic.

Therefore; From the diagram attached below:

Nitrogen 7  = 1     ---- Most Basic

Nitrogen 1 =  2    

Nitrogen 3 =  3    ------ Least Basic

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Emotional health is a person's ability to express feelings appropriately.Please select the best answer from the choices provided.T President Truman's Executive Order 9981 A.Officially recognized the accomplishments of African Americans during World War B. Reversed the wartime policy established by Roosevelt's Executive Order 8802. C. Called for an end to the segregation of American armed forces. Your company, which transports medical equipment to emerging nations, is conducting a political risk analysis before signing a contract to transport equipment within a South American country. 1. Which of the following findings in the political risk analysis would indicate that the company should NOT sign the contract?a. Potential nationalization of invested assetsb. Devaluation of the country's currencyc. Uncertain prices for critical commoditiesd. High government debt 4.7 kg = __What equals 4.7 kg =____g Octane (C8H18) is burned with dry air. The volumetric analysis of the products on a dry basis is as below. (Fig. 1512) Determine (a) the airfuel ratio, (b) the percentage of theoretical air used, and (c) the amount of H2O that condenses as the products are cooled to 25C at 100 kPa Unit 5: African Art art history Describe the three roles of the government within the economic flow Double time pay is twice the regular time pay rate. If Rita, a nurse, earns $24 per hour for her regular pay rate and she is paid double-time for a holiday, what would the equation look like if Rita worked 36 regular hours plus 8 hours holiday? What single transformation was applied to triangle A to get Triangle B? Assume that y varies inversely with x. If y= 16 when x = 0.5, find y when x = 32.y=[ ? ] What is the directors job? I need on dis plz because were in quarantine and Im also dumb What statement best summarizes the Open Door Policy?-the United States should have its own sphere of influence in China.-Japan should be excluded from trading with China.China should be punished for its support of the Boxer Rebellion.-all nations should be granted equal trading rights in China.-the United States should control international trade in the Pacific. TV emporium had a huge sale in the morning 5/12 of the flat screens were sold in the afternoon 1/3 of the flat screens were sold how many TV's were sold altogether Ryan went into town and bought some chicken feed that would last for the next 60 days. If he buys two 50 lbs bags for 5 chickens, how much does each chicken eat a day. Suppose a city with population 800 comma 000 has been growing at a rate of 5% per year. If this rate continues, find the population of this city in 17 years. A delivery company pays its drivers a fixed fee for each delivery made that day. The company deducts a daily fee for the use of the company's delivery truck. The drivers net pay in dollars, p, for one day is given by the equation p = 11d 55, where d is the number of delivers made in one day. What does the number 11 most likely represent? Powers derived from the Tenth Amendment to the Constitution that are not specifically delegated to the national government or denied to the states are known as ________ powers. a. police b. reserved c. separation d. expressed e. concurrent A spinning wheel has a rotational inertia of 2 kgm. It has an angular velocity of 6.0 rad/s. An average counterclockwise torque of 5.0 Nm is applied, and continues for 4.0 s. What is the change in angular momentum of the wheel? Ajar contains "x" black and "y" white balls. What is the probability that a random draw is black?x/x + y)ylxNEXT QUESTIONASK FOR HELPTURN IT LE