Mathematics College

Pythagorean theorem to determine if a triangle with sides 2 ft,5ft,4ft is a right triangle

Answers

Answer 1
[tex] a^2 + b^2 = c^2 [/tex]

[tex] 2^2 + 4^2 = 5^2 [/tex]

[tex] 4 + 16 = 25 [/tex]

[tex] 20 = 25 [/tex]

Since 20 = 25 is clearly a false statement, the three side lengths 2 ft, 4 ft, and 5 ft do not form a right triangle.

Related Questions

You invest $230 to start a sandwich stand and decide to charge $4.25 per sandwich. How much money will you make if you sell 75 sandwiches?

Answers

You should do 4.25*75= 318.75
So you'll make $318.75

We have been given that the cost to start the sandwich stand is $230.

Now, the cost of one sandwich is given by $4.25

Also, it has been given that total 75 sandwiches sold.

Thus, the cost of 75 sandwiches is given by

[tex]75 \times 4.25\\ \$ 318.75[/tex]

Now, the sandwich stand cost $230 and the earning in selling of 75 sandwiches is $ 318.75.

Therefore, the profit is given by

[tex]318.75-230 =\$88.75[/tex]

Hence, I can make $88.75 on selling of 75 sandwiches.

Ginger is filing her federal income tax return with the 1040EZ form, and she received two W-2 forms, with the federal income tax withheld on one being $4530, and the federal income tax withheld on the other being $540. If Ginger received a Making Work Pay credit of $400, and if lines 9a and 9b in the Payments, Credits, and Tax section below are $0, what should she enter on line 10?
A. $4670
B. $4930
C. $5470
D. $5070

Answers

The answer is C. 5470

Answer - C

Add 4530 + 540 + 400 = 5470

hey can you please help me posted picture of question

Answers

The answer is B. Hope this was helpful.
Answer:
144

Explanation:
In the closet, we have:
6 pairs of pants
8 shirts
3 pairs of shoes

To know the number of possible combinations that could be made from the available objects, all we have to do is multiply all three numbers together.
Therefore:
possible outcomes = number of pants * number of shirts * number of shoes
possible outcomes = 6 * 8 * 3
possible outcomes = 144

This means that the tree diagram would have 144 leaves to represent all possible combinations.

Hope this helps :)

what is the last step in planning your budget

Answers

calculating the cost of things and adding totals and finding out how much you will have left over

Answer:

review and revisions

Step-by-step explanation:

The graph represents f(x), and g(x) = 7x – 42.

Which statement about these functions is true?

A) The y-intercept of g(x) is less than the y-intercept of f(x).
B) The y-intercept of g(x) is greater than the y-intercept of f(x).
C) The x-intercept of g(x) is less than the x-intercept of f(x).
D) The x-intercept of g(x) is greater than the x-intercept of f(x).

Answers

[tex]g(x)=7x-42\\\\\y-intercept\ of\ g(x):\\\\f(0)=7\cdot0-42=-42\to(0;\ -42)\\\\x-intercept\ of\ g(x):\\\\0=7x-42\ \ \ \ |+42\\7x=42\ \ \ |:7\\x=6\to(6;\ 0)[/tex]

[tex]f(x)=ax+b\\\\y-intercept\ of\ f(x):\ (0;\ -3)\\\\x-intercept\ of\ f(x):\ (6;\ 0)[/tex]

Answer:

A) the y-intercept of g(x) is less than the y-intercept of f(x).


5 Stars and Brainliest to correct answer

Answers

At θ = 90°, the equation must evaluate to zero. The only one that does that is the 1st choice ...
  r = 2 - 2sin(θ)

The measure of forecast error when the average absolute error of each forecast is shown as a percentage of demand is

Answers

The answer is:  "mean absolute percentage error {"MAPE"} .
_________________________________________________________

Help see photo attached

Answers

The first pair of statements is the best option. h(0) based on the given equation would be the square root of -3, which is an imaginary number. Also, w(0) should be 0, since if nobody is working on making wrenches, none can be made. This is despite the graph having a value at x = 0.

The second statement in the second pair is false, since 0 is not an imaginary number.

Which of the choices below represents the definition of information secrecy?

Answers

Information secrecy is the practice of hiding information from certain individuals or groups who do not have the "need to know", perhaps while sharing it with other individuals. That which is kept hidden is known as the secret. Choose the answer that meet this definition

Secrecy (also called clandestinity or furtiveness) is the practice of hiding information from certain individuals or groups who do not have the "need to know", perhaps while sharing it with other individuals. That which is kept hidden is known as the secret.

What is the volume of the cylinder below? Radius of 8 height of 3

Answers

Volume = pi times r^2 times height.
So 3.14x8^2x3
8^2 (8 squared=64)
So the answer is 3.14x64x3 which equals 602.88


ANSWER

The volume of the cylinder is

[tex]V= 602.88 \: square \: units[/tex]

EXPLANATION

The formula for calculating the volume of a cylinder is,

[tex]V = \pi \: {r}^{2} h[/tex]

Where

[tex]r = 8[/tex]
is the radius of the cylinder and

[tex]h = 3[/tex]

is the height of the cylinder.

Also we use the approximate value for π which is
[tex]3.14[/tex]



We substitute the above values into the formula to get


[tex]V = 3.14\times {8}^{2} \times 3[/tex]


[tex]V =3.14\times 64 \times 3[/tex]

[tex]V = 602.88 \: square \: units[/tex]


Hence the volume of the cylinder is 602.88 square units.

The scores of individual students on the act program composite college entrance examination have an approximately normal distribution with mean 18.6 and standard deviation 6.0 and northside high 30 16 years take the test as soon that the scores at this school have the same distribution as national scores what is the probability that a randomly-chosen student has a score of higher than 20 points

Answers

The probabiity of a score greater than 20 from a normal distribution with a mean of 18.6 and a standard deviation of 6 is about 0.4078.

State whether the given measurements determine zero, one, or two triangles. B = 86°, b = 21, c = 18


In need of help asap

Answers

we know that
Applying the law of sines
b/sin B=c/sin C-----> b*sin C=c*sin B-----> sin C=c*sin B/b
c=18
b=21
B=86°
sin C=18*sin 86/21-----> sin C=0.8550------> C=arc sin(0.8550)
C=58.77°------> C=58.8°
calculate angle A
A+B+C=180--------> A=180-B-C----> A=180-86-58.8----> A=35.2°
b/sin B=a/sin A-------> a=b*sin A/sin B----> a=21*sin 35.2/sin 86
a=12.13-------> a=12

the measure of the first triangle are
a=12
b=21
c=18
A=35.2°
B=86°
C=58.8°

calculate the measures of the second triangle
b=21
c=18
B=86°
C=180-58.8----> C=121.2°
A+B+C=180-----> A=180-86-121.2----> A=-27.2----> It is not possible to build a second triangle

the answer is
it is possible to assemble only a single triangle
a=12
b=21
c=18
A=35.2°
B=86°
C=58.8°

Answer:

one triangle

Step-by-step explanation:

write an inequality to represent the situation. the temperature stayed above -15 degrees

Answers

t will represent temperature so

t > -15°

t will represent temperature  

t > -15°

You spend $77 shopping. You buy some shirts at $12 each, and spend $5 on food. How many shirts did you buy?
A.
5x + 12 = 77
B.
x(12 + 5) = 77
C.
12x + 5 = 77
D.
12*5+x=77

Answers

Fam I'm ganna say the answer is C✌
In order to find this out,, we need to know that $12 is the changing number. This number depends on how many shirts were bought,, so we must put this with x. We also know that $5 is our constant (does not change) and we spent a total of $77 so our equation should equal to 77. This means that our equation should look like the following:
12x + 5 = 77
This means that the correct answer to your question is going to be option C.
Let me know if you have any further questions.
:)

please help!!! trying to finish early

Answers

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

 The linear functions have the form y=mx+b

 where m is the slope and b is the y- intercept

 Therefore, you have:

 1) The slope -6/5 and b=(0,8) is:

 y=(6/5)x+8

 2) You have 3x-2y=1. Then, you only have to clear y:

 y=(3/2)x-1/2

The digits of a certain three-digit number are consecutive odd numbers. If the sum of the digits is 15, find the number.

Answers

The answer is 5 because it is consecutive 3 times and it is an odd number

Let the digits of the 3 digit number be [tex] x-2,x,x+2 [/tex]. where [tex] x [/tex] is an integer greater than 1. It is given that the sum of the 3 digits is 15. Hence,

[tex] x-2+x+x+2=15\\
3x=15\\
x=5 [/tex]

Thus the digits are [tex] 3,5,7 [/tex].

Therefore, the number is [tex] 357 [/tex].

We assume that the digits of the number is increasing from the 100th place.

Scientists discovered a large star 400,000 light years from Earth.A light-year is about 5,880,000,000,000 miles.What is the distance of the large star from Earth in scientific notation?

Answers

So if you want to find the distance, you would take 400,000x5,880,000,000,000=
2.35200000E+18. So your answer would be 2.35200000E+18 in scientific notation it would be 2.35200000x10^18. I hope this helps!

Clem Colfax had $10 to buy groceries. He needed milk costing 70 cents a carton, bread costing 60 cents a loaf, breakfast cereal costing 50 cents a box, and meat costing $1.50 a pound. He bought twice as many cartons of milk as he did loaves of bread, the number of boxes of cereal was one more than the number of loaves of bread, and the number of pounds of meat was the same as the number of boxes of cereal. How many of each did he buy if the total he spent was exactly $10?

Answers

The first thing we must do for this case is to define variables:
 w: pounds of meat
 x: carton of milk
 y: loaf of bread
 z: cereal breakfast box
 We write the system of equations:
 0.70x + 0.60y + 0.50z + 1.50w = 10
 x = 2y
 z = y + 1
 w = z
 Solving the system we have:
 w = 3
 x = 4
 y = 2
 z = 3
 Answer:
 3 pounds of meat
 4 cartons of milk
 2 loaves of bread
 3 boxes of breakfast cereal

Line m has a slope of -1 over 5. What is the slope of a line that is perpendicular to line m?

Answers

If slopeof a line = -1/5, then the line perpendicular to that line has the opposite inverse slope. 

The line perpendicular to a line with slope = -1/5 has a slope of 5.

one of the largest animal rehab places facilities in Montana. If there success rate, depending on the year is between 35 and 40 percent. According to the website is 2015, 234 raptors were taken in. Based on this data about how many rapotors were successful that year?

Answers

Bar models help try them out :)

Final answer:

To estimate the number of successful raptors in 2015, we can use the success rate provided by the website. If we assume a success rate of 35 percent, approximately 82 raptors were successful that year.

Explanation:

To estimate the number of successful raptors in 2015, we can use the success rate provided by the website. The success rate is between 35 and 40 percent. So, if we assume a success rate of 35 percent, we can calculate the number of successful raptors as follows:

Number of successful raptors = 35% of 234 raptors

Number of successful raptors = 0.35 * 234

Number of successful raptors = 81.9

Rounding to the nearest whole number, approximately 82 raptors were successful in 2015.

Find the work done by the force field f(x,y,z)=3xi+3yj+7kf(x,y,z)=3xi+3yj+7k on a particle that moves along the helix r(t)=3cos(t)i+3sin(t)j+3tk,0≤t≤2π

Answers

Call the path [tex]\mathcal C[/tex]. Then the work done by [tex]\mathbf f(x,y,z)[/tex] along [tex]\mathcal C[/tex] is given by the line integral,[tex]\displaystyle\int_{\mathcal C}\mathbf f(x,y,z)\cdot\mathrm d\mathbf r=\int_{t=0}^{t=2\pi}\mathbf f(x(t),y(t),z(t))\cdot\dfrac{\mathrm d\mathbf r}{\mathrm dt}\,\mathrm dt[/tex]
Swapping the [tex]\mathbf{ijk}[/tex] notation out for ordered component notation, I'll write
[tex]\mathbf r(t)=(x(t),y(t),z(t))=(3\cos t,3\sin t,3t)[/tex]
so that
[tex]\dfrac{\mathrm d\mathbf r}{\mathrm dt}=(-3\sin t,3\cos t,3)[/tex]
The line integral reduces to[tex]\displaystyle\int_0^1(9\cos t,9\sin t,7)\cdot(-3\sin t,3\cos t,3)\,\mathrm dt[/tex][tex]=\displaystyle\int_0^1(-27\cos t\sin t+27\sin t\cos t+21)\,\mathrm dt[/tex][tex]=\displaystyle21\int_0^1\mathrm dt=21[/tex]

what is -1/2x+1=9 with work shown.

Answers

[tex]-1/2x+1=9 (-1/2x+1=9)2 -x+2 = 18 -x = 16 x = -16[/tex]

hey can you please help me posted picture of question

Answers

To find if the pairs are inverse of each other, find their composition. The composition of the inverse function will always be equal to x.

For first option, the composition will be:

[tex]f(g(x))=2+ \sqrt[3]{2- x^{3} } [/tex]

For second option, the composition will be:

[tex]f(g(x))= \frac{6x-8}{6}+8= \frac{6x-8+48}{6} = \frac{6x-40}{6} [/tex]

For third option, the composition will be:

[tex]f(g(x))= \frac{49}{x+9}-9 [/tex]

For Fourth option, the composition will be:

[tex]f(g(x))=5( \frac{x+11}{5})-11=x+11-11=x [/tex]

So the pair of function given in Fourth option are inverse of each other

15 points!!! GEOMETRY help please!!
Questions attached!

Answers

9.
[tex]\text{If QR is tangent to circle then m}\angle PQR=90^o[/tex]

[tex]\text{We can use the converse of Pythagorean theorem}[/tex]

[tex]8\ and\ 4\sqrt3\\\\check:\ 4^2+(4\sqrt3)^2=8^2\\16+16\cdot3=64\\16+48=64\\64=64\ -O.K.\\\\2\ and\ 4\sqrt2\\\\check:\ 4^2+2^2=(4\sqrt2)^2\\16+4=16\cdot2\\20=32\ -FALSE\\\\3\ and\ 5\\\\check:\ 3^2+4^2=5^2\\9+16=25\\25=25\ -O.K.\\\\2\ and\ 2\sqrt5\\\\check:\ 4^2+2^2=(2\sqrt5)^2\\16+4=4\cdot5\\20=20\ -O.K.\\\\6\ and\ 10\\check:\ 4^2+6^2=10^2\\16+36=100\\52=100\ -FALSE[/tex]

[tex]\text{Answer:}\boxed{8\ and\ 4\sqrt3;\ 3\ and\ 5;\ 2\ and\ 2\sqrt5}[/tex]


10.
[tex]\text{Look at the pictures}[/tex]

[tex]\text{Therefore}\\\\C=2\cdot8+2\cdot16+2\cdot9+2\cdot6=16+32+18+12=78cm[/tex]

[tex]Other\ method:\\C=2\cdot(8+16+6+9)=2\cdot39=78cm[/tex]

Answer:

\text{If QR is tangent to circle then m}\angle PQR=90^o

\text{We can use the converse of Pythagorean theorem}

8\ and\ 4\sqrt3\\\\check:\ 4^2+(4\sqrt3)^2=8^2\\16+16\cdot3=64\\16+48=64\\64=64\ -O.K.\\\\2\ and\ 4\sqrt2\\\\check:\ 4^2+2^2=(4\sqrt2)^2\\16+4=16\cdot2\\20=32\ -FALSE\\\\3\ and\ 5\\\\check:\ 3^2+4^2=5^2\\9+16=25\\25=25\ -O.K.\\\\2\ and\ 2\sqrt5\\\\check:\ 4^2+2^2=(2\sqrt5)^2\\16+4=4\cdot5\\20=20\ -O.K.\\\\6\ and\ 10\\check:\ 4^2+6^2=10^2\\16+36=100\\52=100\ -FALSE

\text{Answer:}\boxed{8\ and\ 4\sqrt3;\ 3\ and\ 5;\ 2\ and\ 2\sqrt5}

10.

\text{Look at the pictures}

\text{Therefore}\\\\C=2\cdot8+2\cdot16+2\cdot9+2\cdot6=16+32+18+12=78cm

Other\ method:\\C=2\cdot(8+16+6+9)=2\cdot39=78cm

Step-by-step explanation:


Tony is making small bags of bird seed from a larger bag of bird seed that wieghs 11.6 pounds if he puts the same amount in each of 6 bags how much will each bag wiegh?

Answers

For this case we have the following division:
 Weight each bag = Total weight / number of bags
 Substituting values we have:
 Weight each bag = (11.6) / (6)
 Weight each bag = 1.933333333 pounds
 Answer:
 each bag will wiegh about:
 1.933333333 pounds

Which distance measurement is the most precise?
A). 20.1 yards
B). 7 yards
C). 15.98 yards
D). 19 yards

Answers

Answer:

Step-by-step explanation:

Alright, lets get started.

The most precise measurement is,  the one which has most numbers after the decimal.

The number round off to hundred decimal place is more precise than the number round off to tenth decimal place.

There are 4 different numbers in which two numbers are complete number 7 and 19.

20.1 is rounded off to nearest tenth.

15.98 is rounded off to nearest hundred.

So, 15.98 yards is the most precise.   :   Option C

Hope it will help :)

Answer:

15.98 yards

Step-by-step explanation:

Use a proportion to convert 18 grams to milligrams. [Hint: 1,000 mg = 1 g.]

Answers

x/18=1000/1
18000=1x
18000mg
Our proportion would be: 

[tex] \frac{1g}{1000mg} = \frac{18g}{x} [/tex]

We would then cross-multiply and our answer would be 18,000 milligrams. 

(a^3 / 4)^2
Simplify

Answers

Well, you can change this to (a^3/4)(a^3/4), which is equal to a^6/16, because a^3 times a^3=a^6, and 4 times 4=16.
I hope this helps!
-Raiden
Multiply the exponents in (a^3/4)^2 =a^3/2 simplified 





Suppose sarah is trying to design a metal box (a rectangular prism), which will hold 200 cubic centimeters of liquid. the length of the box must be 4 times as large as the width.

Answers

volume = length * width * height = lwh (measured in cubic units)
so 2000 cm^3 = lwh
we know that l = 4w so sub that into the equation
2000 = (4w)*w*h
2000 = 4w^2*h

You didn't include the rest of the question so this is as far as i can go.

According to the distributive property, 6(a + b) =

Answers

With the distributive property, you multiply whatever is one the outside of the parenthesis, by each term on the inside.

6a + 6b

Also, whats with the image? Lol.
I'm not sure why you attached that particular screenshot. However, if you wanted to distribute, then you simply multiply each inner term by the outer term 6

6 times a = 6a
6 times b = 6b
we don't know what 'a' or 'b' are, so we leave the expressions as is

Therefore, 6*(a+b) = 6a+6b
Other Questions
Unemployment can force the economy into a contraction because consumers stop purchasing high priced products.TrueFalse Escoge las palabras que completa la oracin siguiente.(My) casa es amarilla. La casa verde es (theirs).A) Ma, suyaB) Ma, suC) Mi, suD) Mi, suya is Jeremy Camp says horse 12 gallons of water each day how many 1 quart pails of water is that What is the concentration of a HF solution with a PH of 2.3 According to Charles's Law, if the temperature of a gas increases, the volume __________. A.increases B.decreases C.stays the same D.increases, then decreases If a triangles original dimensions are 24 cm by 40 cm, which triangle would be an enlargement of the original by a scale factor of 2.2? What element will result if a proton is added to the nucleus of carbon? Write a^-6 using a positive exponent What were factory workers and construction laborers called Grendel represents which common element of an epic? A.the nemesis B.the hero C.the journey D.the monster Jon has 8 blue marbles and 4 red marble sin a bag. he took 1 marble from the bag na fthen a second marble without replacing the first one. assuming a red marble was selected first, what is the probability that jon selected a red marble both times This was a term used by secretary of state john dulles to describe a policy of risking war in order to protect national interests during the cold war. In some nations today , ethnic rivalries erupt Atrophic gastritis is a common condition among older adults that impairs the ability to absorb ________. In which story did all the humans turn to clay? What effect did population growth have on the conflict between colonists and Native Americans? the word screaming is it a noun, verb adjective or adverb 17.5% as a fraction in simplest form? Isabel divided 32 by 8 and got 4. She says that if she divides 32 by 4,the quotient will be greater than 4. Is she correct? Explain. Find the length of AB , given that DB is a median of the triangle and AC = 24.