In a _____ triangle,
the sum of the squares of the lengths of the legs is equal to the square of the length of
the _____

Answers

Answer 1

Step-by-step explanation: In a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse or a² + b² = c². This is called the Pythagorean Theorem.

Answer 2

Answer:

right, hypotenuse

Step-by-step explanation:

This is because of the pytagorean theorem

a² + b² = c²


Related Questions

PLEASE INCLUDE ALL STEPS! BRAINLIEST GETS 25+ POINTS!!
During a canoe trip, Roberto paddled twice as many hours as Edward, and Jim paddled for one hour. If the three of them paddled less than a total of ten hours, what is the number of hours that Roberto could have paddled?

Answers

Answer:

Roberto did 4 or 5 hours

Step-by-step explanation:

r- Roberto

e- Edward

j- Jim

j = 1 hr. paddled

r= 2e for the number of hours, r, robert paddled.

r+ e+ j < 10 Substitute in for r and j.

2e+ e+ 1 < 10

3e <9

e< 3

r = 2*e

r < 2*3  I Changed it to less than, so because edward has to do less than 3 hours, so now im finding the number of hours that he has to be below.

r<6

Roberto did less than 6 hours.  

Edward did less than 3 hours.

Jim did 1 hour.

Possible Combination of hours that satisfies all the criteria and is below 10 total hours:

Jim Does 1 hour, Edward does 2 hours, and Roberto does 4  hours.

Another Possibility is

Jim does 1 hours, Edward does 2.5 hours and Roberto does 5 hours.

(Edward has to do 2.5 hours for Roberto to do 5 hours, because it states that Roberto does twice as many hours as Edward, it does not state that he did more than twice as many hours so it is necessary for Edward to do 2.5 hours for Roberto to do 5.)

Jackson and Xavier are both solving the multiplication 0.8 x 5. Jackson gets 4 as a solution, and Xavier gets 0.4. Xavier said to Jackson, "Your answer of 4 can't be right for 0.8 x 5. You need a decimal point because a product always has the same number

Answers

Answer:

Jackson

0.8×5=4

Xavier

0.8×5=0.4

If Xavier said to Jackson that his answer of 4 can't be right.

Jackson needs a decimal point because a product always have the same answer.

Then,

Xavier is right with his sayings but wrong with the answer of 0.4

The correct answer is 4.0

The decimal point should be counted from the back not from the front as Xavier did

is the square root of .036 a rational number?

Answers

The square root of 0.36

= [tex]\sqrt{0.36}[/tex]  = 0.6

ans: 0.36

Happy to help!

why is tesla stock increasing/decreasing in value

Answers

Answer:

elon musk

Step-by-step explanation:

elon sends out random, uncalled for tweets, which mess with the stock value.

For example, when the stock was very high, he tweeted,"Tesla stock too high"

Elon Musk

As the CEO of Tesla anything he does can count for or against him. Ages 24 to 54 are the most common age group who buy cars, so if Elon were to make a tweet or public statement that could affect these people it could interest people in Tesla’s since he has a lot of influence of the company.

what is a = 1/2 (b-c) if b is the subject

Answers

Answer:

b = 2a + c

Step-by-step explanation:

Given

a = [tex]\frac{1}{2}[/tex] (b - c)

Multiply both sides by 2 to clear the fraction

2a = b - c ( add c to both sides )

2a + c = b

not good with these someone should help me:( picture included

Answers

Answer:

Volume=2/6cu.ft

Step-by-step explanation:

.........................

option B

A cylinder and it’s dimensions are diameter 8.4cm and height 10.9cm. Which measurement is closest to the lateral surface area of the cylinder in square centimeters

Answers

Answer:

287.64

Step-by-step explanation:

2πrh is the formula you use for the lateral surface area.

to get radius, we know its half of the diameter so 4.2.

plug them in and you get your answer :)



y=2x+3
y=−3x+3
​ find slope and y-intercept

Answers

Answer:

y = 2x + 3  → Gradient / slope = 2 → Y - intercept = 3

y = -3x + 3 → Gradient / slope = -3 → Y - intercept = 3

Step-by-step explanation:

y = mx + c

This is the standard way an equation of a line is written. The 'm' of the line is the slope/gradient and the 'c' is the y - intercept. You can find the x-intercept by making y = 0. When the questions asks you to find the gradient you should never put 'x' after it only the number so

y = 2x + 3

Gradient / slope = 2

Y - intercept = 3

y = -3x + 3

Gradient / slope = -3

Y - intercept = 3

A car wash charges two prices depending on the size of the vehicle. The table shows the number of cars and the number of SUVs washed in the past 3 hours. The total earnings for hours 1 and 2 are given. Each car costs the same price, and each SUV costs the same price. The system of equations can be used to represent the situation.

In the system of equations, x represents the, _____and y represents the_____.

If the system of equations is graphed in a coordinate plane, the coordinates (x, y) of the intersection of the two lines are______.

The total cost of 1 car and 1 SUV is $_____.

The total earnings for hour 3 are $______.

Chart:
Hours | Number of Cars | Number of SUVs | Total Earnings of Hour ($) |
1 4 2 84
2 3 5 126
3 5 4 ?

4x + 2y = 84
3x + 5y = 126

Answers

Answer:

1. cost of each car

2. cost of each SUV

3. (12,18)

4. $30

5. $132

Step-by-step explanation:

In the system of equations,x represents the cost of each car and y represents the cost of each SUV

If the system of equations is graphed in a coordinate plane, the coordinates (x, y) of the intersection of the two lines are (12,18)

The total cost of 1 car and 1 SUV is $30

The total earnings for hour 3 are $132

The Daily News reported that 54% of people surveyed said that they would vote for Larry Salva for mayor. Based on the survey results, if 23,500 people vote in the election, how many people are expected to vote for Mr. Salva?

Answers

Answer:

12,690 people are expected to vote for Mr Salva

Step-by-step explanation:

Here, we want to know the number of people that is expected to vote for a particular candidate in an election given that 54% of people surveyed had said they would vote for the candidate.

Now to calculate the number of people expected to vote for Mr Salva, what we need to do is to find the number out of 23,000 that actually represents a percentage of 54%

To do this, we find 54% of 23,500

mathematically, we have;

54/100 * 23,500

= 12,690

Find the volume of the square pyramid shown. Round to the nearest whole number. The diagrams are not drawn to scale.
12.
9 cm
(1 point)
13 cm
13 cm
507 cm3
351 cm3
39 cm3
O 761 cm

Answers

The volume of the square pyramid having base edge and height as [tex]13[/tex] [tex]cm[/tex] and [tex]9[/tex] [tex]cm[/tex] respectively is [tex]507[/tex] [tex]cm^{3}[/tex].

Volume of a square pyramid

Volume [tex]=\frac{1}{3}[/tex] × (base area) × (height)

How to find the volume of a square pyramid?

First, find the area of the square base

Given, the edge of the square base  [tex]=13 cm[/tex]

Then, the area of the square base [tex]=13^{2}=169cm^{2}[/tex]

Given, the height of the square pyramid [tex]=9cm[/tex]

Now, apply the volume formulae

Volume [tex]=\frac{1}{3}[/tex] × [tex]169[/tex] × [tex]9=507cm^{3}[/tex]

Hence, the volume of the square pyramid is [tex]507cm^{3}[/tex].

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You arrive in my class 45 seconds after leaving math which is 90 meters away. How fast did you travel?

Answers

Answer:

2 m/s=90 meters/45 seconds

1. If 5tanA=4, Find the value of (5sinA-3cosA)/(4cosA+5sinA)
2. Solve for θ, sinθ/(1+cosθ) + (1+cosθ)/sinθ =4, 0°<θ<90°
3. Prove that tan⁡〖θ-cot⁡θ 〗 = (〖2sin〗^2 θ-1)/sinθcosθ
4. Without using trigonometric tables ,show that
tan 10°tan15°tan75°tan80°=1
5. If x=acosθ-bsinθ and y=asinθ + bcosθ prove that x^2+y^2=a^2+b^2

Answers

Answer:

1. (5·sin(A) - 3·cos(A)/(4·cos(A) + 5·sin(A))  = 1/8

2. θ = 30°

3. tan(θ) - cot(θ) = (2·sin²(θ) -1)/((cos(θ)×sin(θ))

from tan(θ) - 1/tan(θ) = sin(θ)/cos(θ) - cos(θ)/sin(θ) and sin²(θ) +  cos²(θ) = 1

4. tan10°·tan15°·tan75°·tan80°= 1 from;

sin(α)·sin(β) = 1/2[cos(α - β) - cos(α + β)]

cos(α)·cos(β) = 1/2[cos(α - β) + cos(α + β)]

5. x² + y² = a² + b² where x = a·cosθ - b·sinθ and y = a·sinθ + b·cosθ from;

cos²θ + sin²θ = 1

Step-by-step explanation:

1. Here we have 5·tan(A) = 5·sin(A)/cos(A) = 4

∴ 5·sin(A) = 4·cos(A)

Hence to find the value of (5·sin(A) - 3·cos(A)/(4·cos(A) + 5·sin(A)) we have;

Substituting the value for 5·sin(A) = 4·cos(A) into the above equation in both the numerator and denominator we have;

(4·cos(A) - 3·cos(A)/(4·cos(A) + 4·cos(A)) = cos(A)/(8·cos(A)) = 1/8

Therefore, (5·sin(A) - 3·cos(A)/(4·cos(A) + 5·sin(A)) = 1/8

2. For the equation as follows, we have

[tex]\frac{sin \theta}{1 + cos \theta} + \frac{1 + cos \theta}{sin \theta} = 4[/tex] this gives

[tex]\frac{2sin (\theta/2) cos (\theta/2) }{2 cos^2 (\theta/2)} + \frac{2 cos^2 (\theta/2)}{2sin (\theta/2) cos (\theta/2) } = 4[/tex]

[tex]tan\frac{\theta}{2} + \frac{1}{tan\frac{\theta}{2} } = 4[/tex]

[tex]tan^2\frac{\theta}{2} + 1 = 4\times tan\frac{\theta}{2}[/tex]

[tex]tan^2\frac{\theta}{2} - 4\cdot tan\frac{\theta}{2} + 1 = 0[/tex]

We place;

[tex]tan\frac{\theta}{2} = x[/tex]

∴ x² - 4·x + 1 = 0

Factorizing we have

(x - (2 - √3))·(x - (2 + √3))

Therefore, tan(θ/2) = (2 - √3) or (2 + √3)

Solving, we have;

θ/2 = tan⁻¹(2 - √3) or tan⁻¹(2 + √3)

Which gives, θ/2 = 15° or 75°

Hence, θ = 30° or 150°

Since 0° < θ < 90°, therefore, θ = 30°

3. We have tan(θ) - cot(θ) = tan(θ) - 1/tan(θ)

Hence, tan(θ) - 1/tan(θ) = sin(θ)/cos(θ) - cos(θ)/sin(θ)

∴  tan(θ) - 1/tan(θ) = (sin²(θ) -  cos²(θ))/(cos(θ)×sin(θ))...........(1)

From sin²(θ) +  cos²(θ) = 1, we have;

cos²(θ) = 1 - sin²(θ), substituting the value of sin²(θ) in the equation (1) above, we have;

(sin²(θ) -  (1 - sin²(θ)))/(cos(θ)×sin(θ)) = (2·sin²(θ) -1)/((cos(θ)×sin(θ))

Therefore;

tan(θ) - cot(θ) = (2·sin²(θ) -1)/((cos(θ)×sin(θ))

4. tan10°·tan15°·tan75°·tan80°= 1

Here we have since;

sin(α)·sin(β) = 1/2[cos(α - β) - cos(α + β)]

cos(α)·cos(β) = 1/2[cos(α - β) + cos(α + β)]

Then;

tan 10°·tan15°·tan75°·tan80° = tan 10°·tan80°·tan15°·tan75°

tan 10°·tan80°·tan15°·tan75° = [tex]\frac{sin(10^{\circ})}{cos(10^{\circ})} \times \frac{sin(80^{\circ})}{cos(80^{\circ})} \times \frac{sin(15^{\circ})}{cos(15^{\circ})} \times \frac{sin(75^{\circ})}{cos(75^{\circ})}[/tex]

Which gives;

[tex]\frac{sin(10^{\circ}) \cdot sin(80^{\circ})}{cos(10^{\circ})\cdot cos(80^{\circ})} \times \frac{sin(15^{\circ}) \cdot sin(75^{\circ})}{cos(15^{\circ})\cdot cos(75^{\circ})}[/tex]

[tex]=\frac{1/2[cos(80 - 10) - cos(80 + 10)]}{1/2[cos(80 - 10) + cos(80 + 10)]} \times \frac{1/2[cos(75 - 15) - cos(75 + 15)]}{1/2[cos(75 - 15) + cos(75 + 15)]}[/tex]

[tex]=\frac{1/2[cos(70) - cos(90)]}{1/2[cos(70) + cos(90)]} \times \frac{1/2[cos(60) - cos(90)]}{1/2[cos(60) + cos(90)]}[/tex]

[tex]=\frac{[cos(70)]}{[cos(70) ]} \times \frac{[cos(60)]}{[cos(60) ]} =1[/tex]

5. If x = a·cosθ - b·sinθ and y = a·sinθ + b·cosθ

∴ x² + y² = (a·cosθ - b·sinθ)² + (a·sinθ + b·cosθ)²

= a²·cos²θ - 2·a·cosθ·b·sinθ +b²·sin²θ + a²·sin²θ + 2·a·sinθ·b·cosθ + b²·cos²θ

= a²·cos²θ + b²·sin²θ + a²·sin²θ + b²·cos²θ

= a²·cos²θ + b²·cos²θ + b²·sin²θ + a²·sin²θ

= (a² + b²)·cos²θ + (a² + b²)·sin²θ

= (a² + b²)·(cos²θ + sin²θ) since cos²θ + sin²θ = 1, we have

= (a² + b²)×1 = a² + b²

Which expression is equivalent to 2(5 − 3x)?

Answers

Answer:

10-6x

Step-by-step explanation:

Hope this helped, have a great day! (mark brainliest if you want to help XD)

Answer:

10 - 6x

as 2 x 5= 10

and 2 x 3 = 6

10 - 6x

Step-by-step explanation:

How many servings of
cups are in 5 cups of ice cream?​

Answers

Answer:

5

Step-by-step explanation:

35x-13x=x-1
I don’t know

Answers

Answer:

x = [tex]-\frac{1}{21}[/tex]

Step-by-step explanation:

In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we took away 13 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.

35x - 13x = x - 1

→ Simplify

22x = x - 1

→ Minus x from both sides to isolate -1

21x = -1

→ Divide both sides by 21 to isolate x

x = [tex]-\frac{1}{21}[/tex]

Which equation could Sameer use to solve for the value of n if n + 13 = 17?

Answers

Answer:

n = 17-13

Step-by-step explanation:

n+13=17

Subtract 13 from each side

n+13-13 = 17-13

n = 17-13

It takes my father 3 hours to plow our cornfield with his new tractor. Using the old tractor it takes me 5 hours. If we both plow for one hour before I go to school, how long will it take him to finish the plowing?

Answers

It takes my Father 3 hours to plow the our cornfield with his new tractor.

Using the old tractor it takes me 5 hours.

If we both plow for 1 hour before I go to school,how long will it take him to finish

:

let t = time Dad plows after he goes to school

:

Let the completed job = 1; (a plowed field)

:

A shared work equation

%28%28t%2B1%29%29%2F3 + 1%2F5 = 1

Multiply by 15, results

5(t+1) + 3 = 15

5t + 5 + 3 = 15

5t = 15 - 8

t = 7%2F5

ANSWER

t = 1.4 hrs or 1 + .4(60) = 1 hr 24 more minutes to finish

hope this helps :)

Expand. Your answer should be a polynomial in standard form. (x - 7)(x - 3)

Answers

Answer:

x^2-10x+21

Step-by-step explanation:

Answer:

The answer is x^2-10x21

kadeem and quinn both drive 25 miles. Kadeem drives at a constant speed of 50 miles an hour. Quinn drives at a constant speed of 75 miles an hour. Who takes longer to drive the 25 miles? How much loner?

Answers

Answer:

I believe it is Kadeem who takes longer by 10 minutes.

Step-by-step explanation:

A person whose speed is slow will take longer to reach so Kadeem takes longer by 0.5 hours.

Given that,
Kadeem and Quinn both drive 25 miles.
Kadeem drives at a constant speed of 50 miles an hour.
Quinn drives at a constant speed of 75 miles an hour.
To determine who takes longer to drive the 25 miles.

What is Distance?

Distance is defined as the object traveling at a particular speed in time from one point to another.

Here,
Time is taken by Kadeem to reach 25 miles with a speed of 25 miles per hour
= 25 / 50 = 0.5 hour

Time is taken by Quinn to reach 25 miles with a speed of 75 miles per hour,
= 25 / 75 = 0.34 hour

Thus, a person whose speed is slow will take longer to reach so Kadeem takes longer by 0.5 hours.

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the graph of the invertible function ggg is shown on the grid below.

What is the value of g^-1(7)

Answers

Answer:

[tex]g^{-1} (7)=5[/tex]

Step-by-step explanation:

We are asked to find [tex]g^{-1} (7)[/tex].

One thing to remember about the inverse of a function is what exactly an inverse means.

If we have the ordered pair [tex](a,b)[/tex] of function [tex]g[/tex], then the corresponding ordered pair of [tex]g^{-1}[/tex] would be [tex](b,a)[/tex].

As we are asked to find [tex](7,b)[/tex] of  [tex]g^{-1}[/tex], we can instead find [tex](b,7)[/tex] of [tex]g[/tex].

This means that we are looking for where [tex]g(b)=7[/tex].

From the graph, we can see that for this to be true, [tex]b=5[/tex]

This means that [tex]g^{-1} (7)=5[/tex]

The value of g^-1(7) is 5.

What is the value of g^-1(7)?

What is invertible function?

A function f from a set X to a set Y is said to be invertible if for every y in Y and x in X, there exists a function g from Y to X such that f(g(y)) = y and g(f(x)) = x. function is invertible only if each input has a unique output. That is, each output is paired with exactly one input. That way, when the mapping is reversed, it will still be a function.

Given that:

One thing to remember about the inverse of a function is what exactly an inverse means.

If we have the ordered pair (a, b) of function g , then the corresponding ordered pair of g^-1 would be (b, a).

As we are asked to find (7,b)  of  g^-1, we can instead find (b, 7) of g .

This means that we are looking for where  g(b)=7.

From the graph, we can see that for this to be true, b=5.

So, the value of g^-1(7) is 5.

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Find the surface area and volume of the triangular prism. Remember to show your work on scratch paper.
10 cm
6 cm
5 cm
8 cm

Answers

Answer:

27cm

Step-by-step explanation:

so you are dumb for not nowing it

A survey showed that 7/15 of a class liked soccer and 2/5 liked baseball. Which sport was liked less?

Answers

Answer:

baseball my guy

Step-by-step explanation:QUICK MATHS

Answer: baseball is liked less

Step-by-step explanation: its liked less because the common denominator is 15 and whatever you times the bottom by you times the top by. so 2/5 x 3= 6/15<7/15 hope that helped!:)

Enunciado: Traza la gráfica de la función. Traza también la gráfica de la asíntota, si es distinta al eje de x o al eje y. Define el Rango y el Dominio. h(x)=log(1/3) x

Answers

Answer:

The given function is

[tex]h(x)=log_{\frac{1}{3} } (x)[/tex]

It's important to know that logarithms are the opposite function to exponentials, which means their domains and ranges are defined the opposite way.

The domain of logarithms is restricted, because negative numbers or the zero is not allowed in their domains. So, the domain of this function is: [tex]D:(0, infinite][/tex]

On the other hand, its range is not restricted, so it's defined: [tex]R: (infinite, -infinite)[/tex]

The image shows the graph of this function, there you can observe its domain and range set definitions.

Find the value of k ,if x=2 and y=3.Find the equation of 2x+3y=k

Answers

Answer:

k=13

Step-by-step explanation:

substitute x and y

4+9=k

k=13

Answer:

13

Step-by-step explanation:

Plug in the given x and y values: 2(2) + 3 (3) = k

Then multiply 4 + 9 = k

Then add 13 = k

The angle of depression from a roof of a building to a car is 75°. If the roof is 12 m above
the level of the car, then the distance of the car from the building is closest to:
(A) 3.11 m
(B) 3.22 m
(C) 11.59 m
(D) 12.42 m

Answers

I think the answer is (C) I’m sorry if I am wrong.

How to use Cosine to calculate the side of a right triangle?

Answers

Answer:

Cosine is Adj/Hyp

a simple trick i use when doing these kind of problems is first finding the sides. If you only know the Hypotenuse then you multiply that with the cos(x) or whatever angle it is. If you only know Adjacent then you divide the adjacent with the Cos(x) and you get the answer

Step-by-step explanation:


what’s the answer for this question

Answers

Answer:

128

Step-by-step explanation:

you do 16 x 16 (256) and then divide it by 2

Which relation is a function? A. (1, 0), (3, 0), (1, 1), (3, 1) (1, 3) B. (1, 1), (2, 2), (3, 3), (4, 4), (5, 8) C. (2, 7), (6, 5), (4, 4), (3, 3), (2, 1) D. (9, −3), (9, 3), (4, −2), (4, 2), (0, 0)

Answers

Answer:

b is the answer

Step-by-step explanation:

i checked if inputs repeated in all the string of answers

Answer:

b

Step-by-step explanation:

Which of the following equations have exactly one solution?
Choose all answers that apply:
Choose all answers that apply:

(Choice A)
A
-19x-18=-19x+18−19x−18=−19x+18minus, 19, x, minus, 18, equals, minus, 19, x, plus, 18

(Choice B)
B
-19x+18=-19x+18−19x+18=−19x+18minus, 19, x, plus, 18, equals, minus, 19, x, plus, 18

(Choice C)
C
19x-18=-19x+1819x−18=−19x+1819, x, minus, 18, equals, minus, 19, x, plus, 18

(Choice D)
D
19x+18=-19x+1819x+18=−19x+18

Answers

Answer:

Options C and D.

Step-by-step explanation:

Choice (A).

-19x - 18 = -19x + 18

Here we are equating two equations,

y = -19x - 18

y = -19x + 18

Since slopes of these equations are same as (-19), both are parallel.

Therefore, there is no solution for the given system of equations.

Choice (B)

-19x + 18 = -19x + 18

Equations are,

y = -19x + 18

y = -19x + 18

Since both the equations represent the same line, so the system of equations will have infinite solutions.

Choice (C)

19x - 18 = -19x + 18

System of equations is,

y = 19x - 18

y = -19x + 18

Slopes of both the lines are different (19 and -19)

Therefore, the system of equations will have exactly one solution.

Choice (D)

19x + 18 = -19x + 18

System of equations is,

y = 19x + 18

y = -19x + 18

This system of equations have the different slopes.

Therefore, the system of equations will have exactly one solution.

Answer:

It got B and D

Step-by-step explanation:

....

......

sorry if it’s wrong

actauloy edit there is two of them and one of them is this answer and one of them is another one so take your luck and make sure to match up the numbers

Other Questions
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