If a = 15 and c. 25 what is the length of leg b of a right triangle using the
pythagorean theorem?

Answers

Answer 1

Answer:

b=20

Step-by-step explanation:

[tex]b ^{2} + {a}^{2} = {c}^{2} \ \\ {b}^{2} = {c}^{2} - {a}^{2} \\ {b}^{2} = {25}^{2} - {15}^{2} = 625 - 225 = 400 \\ b = \sqrt{400} = 20[/tex]

Answer 2

Given : In a triangle ABC , a = 15 , c = 25 . Also the triangle is a right angled triangle .

To Find : The value of b using the Pythagoras Theorem.

Solution : The value of side a is 15 , c is 25 and we have to find b . The sides with be Pythagorean Triplet whose smallest member will be 15 . So the third member. will be 20 . And the largest member is 25 .

The Pythagoras Theorem is :

[tex]\boxed{\red{\bf hypontenuse^2=base^2+perpendicular^2}}[/tex]

⇒ c² = a² + b² .

⇒ b² = c² - a² .

⇒ b² = ( c + a ) ( c - a ) .

⇒ b² = ( 25 + 15 ) ( 25 - 15 ) .

⇒ b² = 40 × 10.

⇒ b² = 400.

⇒ b² = √400.

b = 20 .

Hence the value of c is 20 .


Related Questions

NEED HELP ASAP
SOLVE FOR V
ryv-tu=w

Answers

Answer:

v= w/ry+tu/ry

Step-by-step explanation: Isolate the variable then Divide each side by the factors that don't contain the variable.

Write the equation of the line that passes through the given points.
(0,4) and (5,10)

Answers

Answer:

y = [tex]\frac{6}{5}[/tex]x + 4

Step-by-step explanation:

Use the slope formula and slope-intercept form y=mx+b to find the equation.

A car's gas tank, which can hold 14 gallons of gas, contains 4 gallons of gas when the driver stops at a gas station to fill the tank. The gas pump dispenses gas at a rate of 5 gallons per minute. The equation g = 5t + 4 gives the number of gallons of gasoline g in the tank as a function of the pumping time t(in minutes).

Answers

Answer:

2minutes

Step-by-step explanation:

Since the expression for the amount of gas in the tank is given as

g = 5t + 4

we already know that g=14 which is the capacity of the tank

so let us put g=14 we have

14=5t+4

solving for t, which is the time taken to fill up the tank that already has 4 gal already we have

14=5t+4

14-4=5t

10=5t

t=10/5

t=2min

Therefore the time taken to fill the tank is 2minutes

What is -2(x - 5)- 11 in simplest form?

Answers

It would be -2x-1 if u need steps comment

Answer:

-2x - 1

Step-by-step explanation:

-2(x-5)-11

We need to follow order of operations to simplify this expression. Order of operations is PEMDAS (Parentheses, exponents, multiplication, division, addition, subtraction)

-2(x-5)-11

-2x + 10 - 11

-2x - 1

brainliest You are going on a plane ride. You leave at 11:00am, sight see for awhile and return back to the same airport at 4:00pm. The plane traveled at 180 miles per hour. How far did the plane fly?

Answers

Answer:900 miles

Step-by-step explanation:

Answer:

900

Step-by-step explanation:

11: 00 am to 4: 00 pm thats a 5 hour flight basically. Then do 180 x 5 = 900 (Hope Im right and u guys understand :DD)

Anna is given the equation 5 + 3x = 3x + 5
The replacement set is {1, 2, 3, 4}
Anna says the solution is {2}, but the teacher marked her problem incorrect. Explain what the answer should be and why. Why do you think this is?

Answers

Answer:

The answer is they are all correct

Step-by-step explanation:

5 +3(1) = 8 = 3(1)+5

5 +3(2) = 11 = 3(2)+5

5 +3(3) = 14 = 3(3)+5

5 +3(4) = 17 = 3(4)+5

5 +3(5) = 20 = 3(5)+5

Find the value of x.
2x x

Answers

Answer:

2x²

Step-by-step explanation:

2xx

=2*x*x

=2*x2

=2x2

WILL GIVE BRANLIEST! FINAL QUESTION
What is the radical form of x^-1/2?

A)√x
B)√x /x
C) x

Answers

Answer:A

Step-by-step explanation: In exponents,

a

1

m

=

m

a

Hence

x

1

2

=

2

x

Mike is purchasing fabric for a school project. He needs to cut out circles with an area of 314 square inches. The fabric at the store is precut into squares, each of which has a whole number of inches for the length of its side. What is the smallest square piece of fabric Mike can purchase to use to cut out one of the circles?

Answers

Answer:

20 inches

Step-by-step explanation:

Mike needs to cut out circles with an area of 314 square inches.

Let d be the diameter of required the circle,

So, the area of the circle [tex]=\frac{\pi d^2}{4}[/tex]

[tex]\Rightarrow 314 = \frac{\pi d^2}{4}[/tex] [ given]

[tex]\Rightarrow 314\times 4 =\pi d^2[/tex]

[tex]\Rightarrow 314\times 4 =3.14 \times d^2[/tex]  [ using \pi=3.14]

[tex]\Rightarrow d^2=\frac{314\times 4}{3.14}[/tex]

[tex]\Rightarrow d^2=400[/tex]

[tex]\Rightarrow |d|=\sqrt{400}=20[/tex]

[tex]\Rightarrow d=\pm 20[/tex] inches

Neglecting the negative sign as the length of diameter can't be negative.

So, the diameter of the required circle is [tex]d=20[/tex] inches.

As the available fabric at the store is in the square shape for which length and width are the same, to cut out one circle of diameter [tex]d[/tex], the dimension of the square must be greater than or equal to [tex]d[/tex].

So, the length of the smallest square piece of the fabric Mike can purchase to use to cut out one of the circles is [tex]d=20[/tex] inches.

What is the equation of the line that passes through the points (4,-4) and has a slope of -3/4

Answers

Answer:

the desired equation is y = (-3/4)x - 1

Step-by-step explanation:

Start with the slope-intercept formula y = mx + b.

Substitute -4 for y, +4 for x and -3/4 for m:

-4 = (-3/4)(4) + b

Then -4 = -3 + b, so b must be -1

and the desired equation is y = (-3/4)x - 1

PLSSSS HELP can someone show me how would this look on a graph f(x)=−3[x+2] I need all the points

Answers

Answer:

hope this helps :)

Step-by-step explanation:

HELP ASAP!
Find the LCM (least common multiple) of 30 and 22.

LCM =

Answers

Answer:330Hope this helps!!

answer the question(s) will give brainliest if correct
---
thanks

for 2) please explain

Answers

Answer:

d=r*2

πtimes the diameter

Step-by-step explanation:

diameter is twice the radius

there is nothing like that

please answer 60 points worth

Answers

Answer:

The answer is C

Explanation:

This is because 2(-2) + -2 is smaller than -4

Answer:

THANKS SM

Step-by-step explanation:

Which equations represent this fact family ? Check all that apply

Answers

Answer:

9-11=20

and

20-11=9

Step-by-step explanation:

20+11=31, not 9- the first one is not the answer

20+9-29, not 11- the third is incorrect

11-20=-9, not 9- fifth is not it

Which is true about x, the quotient of the division problem shown below? х 81 918 O The quotient contains a repeating decimal. O The quotient contains a terminating decimal. O The quotient is a whole number less than 11. O The quotient is a whole number greater than 11

Answers

Answer:

The answer is choice 2 and 3, that is "The quotient has a final decimal and the whole number is less than 11".

Step-by-step explanation:

The product of a ratio: amount (r) over other(s) (variance from 0) becomes mandatory to note this quotient and in the following case Thus q is = 0.0882352941.

[tex]\to \frac{81}{918}= 0.0882352941[/tex]

It wasn't a repeating decimal, however a final decimal, so it's got an end.

Its quotient may be less than 11 in total.

Numbers of W = {0,1,2, ...} and 0 < 11 are provided for this entire series of data therefore It's real .

Answer:

a

Step-by-step explanation:

Solve for p, I don't know what else to add but yeah
solve for p?
Also explain

Answers

Answer:7

Step-by-step explanation:

6p-4+7p+3=90

13p-1=90

13p=91

p=7

Which one?
A. B. C. or D?​

Answers

The answer is letter B

Answer:

B

Step-by-step explanation:

(7m+5m^3)-3m-4m^3

we simplify to get

4m+m^3 which can be rearranged

m^3+4m

Find the slope on the graph?

Answers

Answer: I believe it’s 1/2

Step-by-step explanation: it cannot be a negative answer because The point on the graph is on the positive side

Answer: 2

Step-by-step explanation:

The slope of a graph is rise over run.

Find a perfect point on the graph and go to the next perfect point.

An example is:

(-2, 0) and (-1, 2)

To get from the first point to the second, you go up 2 over 1.

It’s rise (up) over run (left or right) so it’s 2/1.

2 divided by 1 is just 2.

Your slope is 2.

Hope this helps!

A racquetball club membership costs $22.50 per month. What would a year’s membership cost?

Answers

Answer:

270 dollars for a year, so 22.50 times 12

The cost of the membership for a year will be $270.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

A racquetball club membership costs $22.50 per month.

We know that in a year, the number of months is 12.

Then the cost of the membership for a year will be given by the multiplication of the numbers 22.50 and 12.

Cost = 22.50 x 12

Cost = $270

The cost of the membership for a year will be $270.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

HELP PLS (picture below)

Answers

The answer is C
5.26x10^3 = 5,260

C

Because it will equal 5,260 but all the other are bigger

The number of free spng to download is determined by usomg a ratio. When you purchase 40 songs, you get 24 free song download. How many songs must you purchase in order to get 6 free song downloads?​

Answers

Answer:

10

Step-by-step explanation:

set up a proportion, 40/24 and x/6, 6 times 40 = 240, divide by 24 to get 10

What are the possible values of x and y for two distinct points, (5,-2) and (x, y), to represent a function?
The value of x can be ____
The value of y can be ____

(any real number, any real number except 5, any real number except 5 and -2)


Answers

Answer:

3, 0

Step-by-step explanation:

Subtract 2.

5 - 3 = 2.

-2 - 2 = 0

Answer:

The value of x can be

✔ any real number except 5

The value of y can be

✔ any real number

.Step-by-step explanation:

John needs to take a cab uptown and only has y dollars. The cab company charges a flat fee of $2.25 plus $0.55 per mile. If John has $12.52 and he finds a cab with the same flat fee that only charges $0.45 per miles, what is the maximum number of miles he will be able to travel, t the nearest tenth of a mile?

Answers

Answer:

Maximum distance covered by John = 22.8 miles

Step-by-step explanation:

The cab company charges a flat fee of $2.25 plus $0.55 per mile.

Amount of money John has = $y

Let the number of miles traveled in $y = x miles

If John finds a cab charging same fee and $0.45 per mile,

y ≤ 2.25 + 0.45x

y - 2.25 ≤ 0.45x

[tex]x\leq \frac{(y-2.25)}{0.45}[/tex]

Therefore, inequality representing the maximum distance covered by John,

[tex]x\leq \frac{(y-2.25)}{0.45}[/tex]

If, y = $12.52

[tex]x\leq \frac{(12.52-2.25)}{0.45}[/tex]

x ≤ 22.8 miles

Therefore, John will be able to travel the maximum distance = 22.8 miles.

Answer:

x ≤ 22.8 miles

John will be able to travel the maximum distance of 22.8 miles.

Step-by-step explanation:

I hope this helps

find the midpoint of (-8,-9) and (-5,1)

Answers

The midpoint would be (-13/2,-4)

in an equation y varies directly as x varies. if y = 55 when x = 22, what is the value of x when y = 85?​

Answers

Answer:

x=34

Step-by-step explanation:

If you put Y and X into a ratio then it will be

5:2

because since their GCF is 11, then we will have to divide both of the numbers by 11.

If y=85 then that means that it was multiplied by 17. If we want them to stay within the same ratio, then we will have to multiply X (2) by 17.

That will get you 34.

Joey wants to save up enough money to buy a new baseball bat that costs $200. He already has $50. If Joey makes $40 per week, write an inequality that represents the number of weeks (w) until he will have enough money?

Answers

Answer:

50+40w=200

Step-by-step explanation:

200-50=150

150 divided by 40=3.75 so 3 1/2 weeks

What is -14x+28+6x=-44 and show your work pls and thankyou.

Answers

Answer:

x=2

Step-by-step explanation:

-14x+28+6x=-44

-8x+28=-44

-8x= -16

x=2

combine like terms

-8x+28 = -44

subtract 28 from both sides

-8x = -72

divide both sides by -8

x = 9

If f(x) = 2x^3 - 14x^2 + 38x -26 and x-1 is a factor of f(x) find all of the zeros of f(x) algebraically.

Answers

Answer:

Step-by-step explanation:

First confirm that x = 1 is one of the zeros.

f(1) = 2(1)^3 - 14(1)^2 + 38(1) - 26

f(1) = 2 - 14 + 38 - 26

f(1) = -12 + 38 = + 26

f(1) = 26 - 26

f(1) = 0

=========================

next perform a long division

x -1  || 2x^3 - 14x^2 + 38x - 26 || 2x^2 - 12x + 26

          2x^3 - 2x^2

          ===========

                    -12x^2 + 28x

                     -12x^2 +12x

                     ==========

                                  26x -26

                                  26x - 26

                                 ========

                                      0

Now you can factor 2x^2 - 12x + 26

                                 2(x^2 - 6x + 13)

The discriminate of the quadratic is negative. (36 - 4*1*13) = - 16

So you are going to get a complex result.

x = -(-6) +/- sqrt(-16)

     =============

                 2

x  = 3 +/- 2i

f(x) = 2*(x - 1)*(x - 3 + 2i)*(x - 3 - 2i)

The zeros are

1

3 +/- 2i

2 1/5 + 2 1/5 + 3 1/8 + 3 1/8​

Answers

Answer:

Simplify the expression.

Exact Form:

213/20

Decimal Form:

10.65

Mixed Number Form:

10 13/20

Step-by-step explanation:

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