The shortest side of a right triangle measures 88 m. the lengths of the other two sides are consecutive odd integersodd integers. find the lengths of the other two sides.

Answers

Answer 1

x - one side
x+2 - the side, that has value of consecutive odd integer of x
x+2 is the longest side, so it is a hypotenuse
(x+2)² = x²+88²
x²+4x+4 = x² + 7744
4x=7740
x= 1935
x+2=1935+2=1937

Check
1937²=1935²+88²
3751969=3751969

Related Questions

The sum in a half adder can be represented by what boolean expression (assuming a

Answers

The sum of a half adder is only 1 when ONLY ONE of the two inputs are 1.
If they are both 0, the sum is 0. If they are both 1, the sum is 0 and the carry is 1.

This is the XOR logic gate; either one of the two inputs, but not both. In boolean algebra, XOR can be represented as: ¬AB + A¬B

The coordinate grid shows the plot of four equations. A coordinate plane is shown with four lines graphed. Line A crosses the x axis at negative 3.2 and has a slope of 4. Line B crosses the x axis at 3 and the y axis at 6. Line C crosses the x axis at 1.5 and the y axis at negative 6. Line D crosses the x axis at negative 3 and the y axis at 3. Which set of equations has (2, 2) as its solution? A and D B and D A and C B and C

Answers

let m be the slope and b the y-intercept:

m=(y-y)/(x-x) and y=mx+b

Line A

y=4x-3.2

Line B

(3,0) and (0,6)

m= 6/-3= -2

y= -2x+b

0=-2(3)+b

b=6

y= -2x+6

Line C

(1.5,0) and (0,-6)

m=-6/-1.5=4

y=4x+b

0=4(1.5)+b

b = -6

y=4x-6

Line D

(-3,0) and (0,3)

m=3/3=1

y=x+b

0=-3+b

b=3

y=x+3

Line B and C is your answer

In the coordinate plane line p had slope 8 and y intercept (0,5). Line r is the result of dilating line p by a factor of 3 with (0,3) what is the slope and y intercept of line r?

Answers

The slope of line r is 24 and the y-intercept is (0, 3).

How to find the slope and y-intercept?

To find the slope and y-intercept of line r, which is the result of dilating line p by a factor of 3 with a center at (0,3), we can use the following steps:

The slope of the dilated line r is the product of the dilation factor and the slope of the original line p.

The y-intercept of the dilated line r is the point where the original line p intersects the line of dilation.

Given that line p has a slope of 8 and a y-intercept of (0,5), the slope of line r is:

8 * 3 = 24.

The y-intercept is (0, 3)

Therefore, the slope of line r is 24 and the y-intercept is (0, 3).

To convert a distance of 1.25 miles to feet, which ratio could you multiply by? Remember that 1 mile = 5280 feet.

Answers

we know that
1 mile is equal to-----------> 5280 feet
1.25 miles------------> x
x=1.25*(5280/1)-----> 6600 ft

ratio=5280 ft/1 mile

the answer is
the ratio is (5280 ft/1 mile)

A system of equations is shown below:

x + y = 3

2x – y = 6

The x-coordinate of the solution to this system of equations is _____.

Answers

To solve this problem you must apply the procceddure shown below:

1. You have the following system of equations:

x+y = 3
2x–y = 6

2. Then, you must clear the variable y from the first equation and susbtitute it into the second equation, as below:

x+y=3
y=3-x

2x-y=6
2x-(3-x)=6
2x-3+x=6
3x=6+3
3x=9

3. Therefore, the value of x is:

x=9/3
x=3

4. As you can see, the correct answer is:

x=9

If using the method of completing the square to solve the quadratic equation x^2+13x-35=0x 2 +13x−35=0, which number would have to be added to "complete the square"?

Answers

That would be (1/2 * 13)^2 = 6.5^2 = 42.5

Answer:

42.25 or 169/4 on delta math

Step-by-step explanation:

Simplify the expression.

(–1 + 6i) + (–4 + 2i)

Answers

(-1+6i)+(-4+2i) =====> -5+8i (simplified)

( -1 + 6i ) + ( -4 + 2i )
= -1 + 6i - 4 + 2i
= -5 + 8i

Hope it helped!

The table below shows the number of hours some college athletes in two states spend on indoor sports each week:

State A 7 9 5 4 25 21 6 6 8
State B 14 12 10 13 15 14 11 15 16

Part A: Create a five-number summary and calculate the interquartile range for the two sets of data. (6 points)

Part B: Are the box plots symmetric? Justify your answer. (4 points)

Answers

State A: 7 9 5 4 25 21 6 6 8
State B: 14 12 10 13 15 14 11 15 16

When arranged in order,
State A: 4 5 6 6 7 8 9 21 25
State B: 10 11 12 13 14 14 15 15 16

Part A:
For state A, Q1 = minimum number = 4, Q2 is the lower quartile = 6, Q3 is the middle number = 7, Q4 is the upper quartile = (9 + 21)/2 = 15, Q5 = maximum number = 25
Interquatile range = upper quatile - lower quatile = 15 - 6 = 9

For state B, Q1 = minimum number = 10, Q2 is the lower quartile = 11.5, Q3 is the middle number = 14, Q4 is the upper quartile = 15, Q5 = maximum number = 16
Interquatile range = upper quatile - lower quatile = 15 - 11.5 = 3.5

I did this in class and the teacher gave me the answer so I guess it is right!!

Let me know If I am right

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The scores on a final exam were approximately normally distributed with a mean of 82 and a standard deviation of 11. If 85 students took the exam, and above a 60 is a passing grade, how many students failed the exam?

A. 2
B. 12
C. 13
D. 1

Answers

Hello,
Please, see the attached file.
Thanks.

Two angles whose measures add up to 90º are called?

Answers

Two angles that add up together and equal 90 degrees are called complementary angles.

He is correct I used this answer

saidhari bought a toaster oven for $60. this price was 1/4 off the list price. What was the list price

Answers

Final answer:

The list price of the toaster oven was $80.

Explanation:

To find the list price, we need to determine the price of the toaster oven before the discount. Let's call the list price 'x'. The discount is 1/4 off the list price, so the discounted price is 3/4 of the list price. We can set up the equation 3/4 * x = $60 to find the value of 'x'. To solve for x, we can multiply both sides of the equation by 4/3: (3/4 * 4/3) * x = $60 * 4/3. Simplifying the equation gives us x = $80.

The ratio of gold charms to silver charms is 1:3. Which statement does not describe the relationship?

Answers

Hello!

The ratio from gold charms to silver charms is 1:3

This means for every gold charm there are 3 silver ones

Choice A says the opposite so this is the answer

The answer is A) For every silver charm, there are 3 gold charms.

Hope this helps!

Answer: A

Step-by-step explanation:

Find the margin of error for each sample. Then find an interval likely to contain the true population proportion.

a. 15% of 457 teachers

b. 56% of 87 musicians

Full answers please

Answers

We will use a 95% confidence interval, for which the critical z-score is 1.96.

a) For n = 457, p = 0.15, mean x = 68.55, standard error = sqrt[p(1-p)/n] = 0.0167. Then the confidence interval is x +/- z*SE, which is68.55 +/- 1.96*0.0167 gives the interval (68.52, 68.58).
b) For n = 87, p = 0.56, man x = np = 48.72, SE = sqrt(0.56*0.44/87) = 0.1043The confidence interval will be 48.72 +/- 1.96*0.1043, which gives (48.52, 48.92).

The negative sign can be read as "the opposite of." true or false

Answers

True if you’re solving for a solution but if it’s the solution has a negative since it can’t be read as positive

Answer:

true

Step-by-step explanation:

Barbara is making bracelets to sell on her Etsy site. It costs her $0.79 per bead and she needs 22 beads per bracelet. She sells her bracelets for $28 each. What is the percent markup per bracelet?

Answers

the answer is 10.62 please give brainliest

m 2 = 40°, m 4 = 150°, m 3 =

Answers

Hello!

First you have to find angle 1

angle 1 and angle 4 are supplementary meaning they add to 180

angle 1 + angle 4 = 180

angle 1 + 150 = 180

angle 1 = 30

The angles in a triangle always add up to 180

angle 1 + angle 2 + angle 3 = 180

30 + 40 + angle 3 = 180

70 + angle 3 = 180

angle 3 = 110

The answer is 110°

Hope this helps!

The answer is 110° Hope this helps!

please help with this vertical asymptote of rational functions problem

A. x= -5
B. x=0
C. x= -2
D. x= 5

Answers

The expression can be written in simplified form as:

[tex]f(x)= \frac{5x+10}{ x^{2} +7x+10} \\ \\ f(x)= \frac{5(x+2)}{ x^{2} +2x+5x+10} \\ \\ f(x)= \frac{5(x+2)}{(x+2)(x+5)} [/tex]

x+2 occurs in both numerator and denominator. This means there is a hole at x=-2, this can also be seen from the graph.

So, the vertical asymtptote will occur at the point where:
x+5=0
⇒
x = -5

So, option A gives the correct equation of the vertical asymptote of the function

The answer is the first option, which is:

x=-5

The explanation is shown below:

1.To solve this problem you must apply the proccedure shown below:

2. You must factor the denominator, as following:

f(x)=(5x+10)/(x^2+7x+10)
f((x)=(5x+10)/(x+2)(x+5)

x+5=0
x=-5

The ratio of the areas of two similar polygons is 400:25. what is the ratio of their corresponding sides

Answers

The ratio of areas is given by:
A1 / A2 = 400/25 = k ^ 2
Therefore, the relationship of the sides is given by:
L1 / L2 = k
Clearing k we have:
k = root (400/25)
Rewriting we have:
L1 / L2 = k = 20/5
Answer:
The ratio of their corresponding sides is:
20: 5

Answer: 16:1

simplify 400:25 by dividing 400 by 25, which is 16.

The steepness, or grade, of a highway or railroad is expressed as a percent. In the photo of the cog railway at Pike’s Peak, in Colorado, the grade is 18%. Thus, for every 100 ft of horizontal run, the train rises 18 ft. Find the angle of the inclination of the railway.

Answers

The angle of inclination is 10.2°.

The angle of inclination will be between the hypotenuse of the triangle and the bottom leg. The bottom leg is the 100 ft run. The rise of 18 feet will be the other leg, which is opposite this angle.

This gives us the sides opposite and adjacent the angle we are looking for; opposite/adjacent is the ratio for tangent:

tan x = 18/100

We can solve this using inverse tangent:
tan⁻¹ x = tan ⁻¹(18/100)
x = 10.2°

Training course a takes 9 weeks and 4 days to complete.training course b takes 54 days to complete.how much longer does training course a take than training coure b to complete

Answers

[tex]7 \times 9 + 4 = 67 \\ 67 - 54 = 13[/tex]
Training course A takes 13 more days than training course B.

Final answer:

Training course A takes 13 days longer than training course B to complete.

Explanation:

To find how much longer training course A takes than training course B to complete, we need to compare the durations of the two given courses with given values.

Training course A takes 9 weeks and 4 days to complete, which is found to be :

9 x 7 + 4 = 67 days in total.

Training course B takes 54 days to complete.

To find the difference, we subtract the duration of course B from the duration of course A:
67 - 54 = 13 days.

Therefore, training course A takes 13 days longer than training course B to complete.

If Kareem’s living room has an area of 225 square feet, how much will he spend to carpet his living room?

Answers

Answer: $ 568.99

Because 18.99+22 x 225/9 = 568.99

Answer: 568.99

Step-by-step explanation: your mom

Keisha is investing her money in an IRA. Initially she will be putting in $775. Using C as the additional amount invested each month, translate this problem into an algebraic expression that will show how much Keisha invested for the entire year.

Answers

Initial investment = $775
Monthly investments = $C
Period of investment = 1 year = 12 months

Total monthly investments = Monthly amount*12 = C*12 = 12C

Total investment after 12 months = Initial investment + Total monthly investments = 775 + 12C

in a cylinder the radius and height was quadrupled. How much bigger would the new surface area be then the original surface area.

Answers

The original surface area is:
A = 2 * pi * r ^ 2 + 2 * pi * r * h
Where,
r: radio
h: height
The area when the dimensions are modified is:
A '= 2 * pi * (4r) ^ 2 + 2 * pi * (4r) * (4h)
Rewriting we have:
A '= 16 * 2 * pi * r ^ 2 + 16 * 2 * pi * r * h
A '= 16 (2 * pi * r ^ 2 + 2 * pi * r * h)
A '= 16A
Answer:
the new surface area would be 16 times bigger than the original surface area

we know that
if in a cylinder the radius and height was quadrupled
so
the scale factor is equal to 4
scale factor=4
and
new surface area=[scale factor]²*original surface area
new surface area=[4]²*original surface area
new surface area=16*surface area original

therefore
the new surface area will be 16 times the original surface area.

alternative method
we know that
surface area of cylinder=2*[area of the base]+perimeter of the base*height
area of the base=pi*r²
perimeter of the base=2*pi*r

original surface area=2*[pi*r²]+[2*pi*r]*h-----> 2*pi*r*[r+h]

if the radius and height was quadrupled
so
new surface area=2*pi*(4*r)*[4r+4h]-----> 2*pi*(4*r)*4*[r+h]
new surface area=16*[2*pi*r*(r+h)]----> 16*[original surface area]

the answer is
the new surface area will be 16 times the original surface area.

A and B share the cost in a ratio of 3:2. A pays £125 how much does b pay?

Answers

Hello!
3 + 2 = 5
125 divided by 5 = 25
25 x 3:2 = 2
25 x 2 = 50

To solve this problem, we can set up proportion, which is two equivalent ratios. In this case, we are using the ratio of A to B to figure out the amount that B pays using our value for A. We are allowing x to represent the unknown value for the B payment. This is modeled below:

3/2 = £125/x

To simplify, we can perform cross-multiplication. This means multiplying the numerator of one fraction by the denominator of the other and setting it equal to the product of the other numerator and denominator. This is modeled below:

(125)(2) = (3)(x)

Next, we can simplify the equation by performing the multiplication on both sides of the equation.

250 = 3x

Finally, we should divide both sides by 3 to get our unknown variable x alone on the right side of the equation.

x = 83.33

Therefore, B costs £83.33.

Hope this helps!

A rectangular room has an area of 315 square feet. the length is 6 feet more than the width. find the dimensions of the room.

Answers

Width - x ft.
Length - (x+6)ft.

x(x+6)=315
x²+6x-315=0
a=1, b=6, c=-315

D=b²-4ac=36+4*1*315=1296, √D=√1296=36

[tex] x = \frac{-b+/- \sqrt{D} }{2a} \\ \\ x= \frac{-6+/-36}{2} \\ \\ x=15, x=-21[/tex]

For the width we can use only positive number.
The width =15 ft.
The length =15+6=21 ft.

Check :
Area =15*21=315 ft²

The room's width is calculated to be 15 feet, and the length, which is 6 feet more than the width, comes to 21 feet. These dimensions satisfy the given area of 315 square feet for the rectangular room.

To find the dimensions of a rectangular room with a known area where one dimension is dependent on the other, we can use algebraic methods to determine the length and width. In this case, the area of the room is given as 315 square feet and it is known that the length is 6 feet more than the width. Let's denote the width of the room as 'w' feet. Therefore, the length will be 'w + 6' feet. The area of a rectangle is calculated by multiplying the length by the width, so we have the following equation:

w imes (w + 6) = 315

Expanding the left side of the equation gives us:

w²+ 6w = 315

To find the value of w, let's move all terms to one side to form a quadratic equation:

w²+6w - 315 = 0

Now we can solve this quadratic equation either by factoring, completing the square, or using the quadratic formula. For this case, factoring is applicable. We look for two numbers that multiply to -315 and add up to 6. The numbers 21 and -15 satisfy this condition. Therefore, we can write the equation as:

(w + 21)(w - 15) = 0

The possible solutions for w are -21 or 15; since a width cannot be negative, we take the positive solution:

w = 15 feet

Having obtained the width, we can now find the length:

Length = w + 6 = 15 feet + 6 feet = 21 feet

Therefore, the dimensions of the room are 15 feet in width and 21 feet in length.

If (x + 1)(x - 3) = 12, then which of the following statements is true?

Answers

x = 5. so you would just plug that in to check your answer

Graph f(x)=- square root -x

Answers

Graph in the attachment.

[tex]x=0\to f(0)=-\sqrt0=0\to(0;\ 0)\\\\x=-0.25\to f(-0.25)=-\sqrt{-(-0.25)}=-\sqrt{0.25}=-0.5\to(-0.25;-0.5)\\\\x=-1\to f(-1)=-\sqrt{-(-1)}=-\sqrt1=-1\to(-1;-1)\\\\x=-4\to f(-4)=-\sqrt{-(-4)}=-\sqrt4=-2\to(-4;-2)[/tex]

The graph of function f (x) = - √- x is shown in image.

We have to given that,

Graph the function,

f (x) = - √- x

Here, Function is defined as,

f (x) = - √- x

At x = 0;

f (x) = - √-0

f (x) = 0

Plot the graph of function f (x) = - √- x.

Hence, The graph of function f (x) = - √- x is shown in image.

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ2

An automobile manufacturer sold 30,000 new cars, one to each of 30,000 customers, in a certain year. The manufacturer was interested in investigating the proportion of the new cars that experienced a mechanical problem within the first 5,000 miles driven. (a)

A list of the names and addresses of all customers who bought the new cars is available. Describe a sampling plan that could be used to obtain a simple random sample of 1,000 customers from the list.

Each customer from a simple random sample of 1,000 customers who bought one of the new cars was asked whether they experienced any mechanical problems within the first 5,000 miles driven. Forty customers from the sample reported a problem. Of the 40 customers who reported a problem, 13 customers, or 32.5%, reported a problem specifically with the power door locks. (b)

Explain why 0.325 should not be used to estimate the population proportion of the 30,000 new cars sold that experienced a problem with the power door locks within the first 5,000 miles driven. (c)

Based on the results of the sample, give a point estimate of the number of new cars sold that experienced a problem with the power door locks within the first 5,000 miles driven.

Answers

A) In order to create a sampling plan, you need to follow the following 5 steps:
1) Define the sample population: who are the customers you want to contact?
   The costumers who bought a new car on a certain year.
2) Define the size of population: how many customers are you going to contact?
   Of the 30000 customers who bought a car, you want to contact 1000 customers.
3) Define the contact options: how are you going to contact the customers?
   You have a list of names and addresses, therefore you can send a questionnaire via mail.
4) Form a sampling frame: what is the time or contact frame to get in touch with your customers?
   You will send the questionnaires and you will wait two months for the answer.
5) Define the analysis method: is yours a qualitative or quantitative research?
   In your case, you want a quantitative research and therefore a probabilistic sampling.

B) The 32.5% probability refers to customers having issues with the power doors locks among the costumers who had problems, it does not consider the customers who did not have any problem or those who had problems after the first 5000 miles.

C) In order to find the probability of a power door lock problem if there have been problems within the first 5000 miles, we need to consider the whole sample:
P = 13 / 1000
   = 0.013

Therefore,
N = 0.013 × 30000
   = 390

Hence, the number of new cars sold that experienced a problem with the power door locks within the first 5000 miles will be 390.

Analyzing the situation of the automobile industry it will be important that:

A)build a list that attracts buyers to cars, looking for an interested audience, through emails, nearby residents.

B) 0.013

C)390

If it is necessary to analyze how to attract a corresponding public so that a car sale can take place, a list will be created that takes into account:

A) 1) Define the sample population: The costumers who bought a new car on a certain year.

2) Define the size of population: Of the 30000 customers who bought a car, you want to contact 1000 customers.

3) Define the contact options: You have a list of names and addresses, therefore you can send a questionnaire via mail.

4) Form a sampling frame: You will send the questionnaires and you will wait two months for the answer.

5) Define the analysis method: In your case, you want a quantitative research and therefore a probabilistic sampling.

B) The 32.5% probability refers to customers having issues with the power doors locks among the costumers who had problems, it does not consider the customers who did not have any problem or those who had problems after the first 5000 miles.

C) In order to find the probability of a power door lock problem if there have been problems within the first 5000 miles, we need to consider the whole sample:

[tex]P= \frac{13}{1000} = 0.013[/tex]

[tex]N=0.013*30000=390[/tex]

Hence, the number of new cars sold that experienced a problem with the power door locks within the first 5000 miles will be 390.

Use the x-intercept method to find all real solutions of the equation. x^3-9x^2+11x+21=0

Answers

We must graph y=x^3-9x^2+11x+21. Please, see the attached file.
Then we see were the graph cuts the x-axis, and these values of x are the real solutions of the given equation:

The real solutions of the given equation are:x = -1, 3, and 7

Answer:

c: x=-1,3,7

Step-by-step explanation:

Why are jobs at food stands and restaurants good for college students?

Answers

These jobs are hard to get, are short term, and offer a flexible schedule.

Answer:

The reason a university student is looking for work is that he needs an extra salary income.

Step-by-step explanation:

It is a way to get a salary without overloading tasks.

In addition to that many times, they are given the time to study and work because there are very flexible schedules.

The university student gets used to the need to work for a fixed salary.

In addition, many university students need income to be able to pay the value of the semester or any project necessary for the university.

Other Questions

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