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

a plane flies at 500km/h. 720 km how long does it take to travel 720km?

Answers

Answer:

Step-by-step explanation:

Speed = 500km/h

Distance = 720km.

Time = ?

Use your formula:

Time = Distance / Speed

Time = 500/ 720 = 1.44 hours

The price of a television increased from $325 to $390. By what percentage was the price of the television increased?

Answers

Answer: 13.76 percent

Step-by-step explanation:

Help me !!! Solve: 3b − 2 = 7

Answers

Answer:

B=3

Step-by-step explanation:

3b - 2 = 7
+2 +2
3b = 9
Divide by 3 on both sides...
b = 3

Grandma baked 969696 cookies and gave them to her grandchildren. One of the grandchildren, Cindy, received ccc fewer cookies than she would have received had all of the cookies been evenly divided among the 8 grandchildren. How many cookies did Cindy receive?

Answers

Answer:

Cindy get (12-c) amount while others get 12 cookies

Step-by-step explanation:

From the question we are informed that Grandma baked 96 cookies

And there are 8 Number of grandchildren available

But the cookies must be divided equally among this grandchildren to calculate the number of cookies each of them get we have,

= 96 cookies baked/8 Number of grandchildren available

= 12 cookies

Which means each get 12 cookies

But

Cindy received less cookies with less C amount.

Then Cindy own will be( 12-c) cookies

Therefore Cindy get (12-c) amount while others get 12 cookies

Answer:

12-c

Step-by-step explanation:

Khan academy unit test, 7th grade math.

What is the midpoint of the line segment with endpoints at (-6, 3) and (-10, 7)?
A(-8,5)
B(-16, 10)
C (2,-2)
D (4,-4)
Choose

Answers

The answer is A (-8,5)

Answer:

A(-8,5)

Step-by-step explanation:

Given two points (-6, 3), and (-10, 7). The midpoint is calculated by averaging the x, and y values of two coordinates. As (-10, 7) is the the first point (x1, y1), and (-6, 3) is the second point (x2, y2).

[tex]midpoint \: of \: (x_{1},y_{1}), \: and \: (x_{2},y_{2}) \\ = (\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})[/tex]

[tex] midpoint \: of \: (-6,3), \: and \: (-10,7) = (\frac{-10 + -6}{2}, \frac{7 + 3}{2}) \: = (\frac{-16}{2}, \frac{10}{2}) \: = (-8,5)[/tex]

The equation P=$3.90+$0.10x represents the hourly pay(P) a worker receives for loading x number of boxes onto a truck. What is the y-intercept?

Answers

Answer:

The y-intercept is 3.90

3y-4=12-y and also show the step please

Answers

Answer:

y=4

Step-by-step explanation:

look at the picture. :) hope this helps

Answer:

y = 4

Step-by-step explanation:

Lets begin by combining like terms, starting with y. We can take the -y on the right, and bring it to the left side, adding it with the 3y already there. We are now at.

4y - 4 = 12

We now can take the -4 from the left and bring it to the right as +4.

4y = 16

We can now divide 16 by 4, getting 4 as the final answer.

7
Mr. Ealy works at a shoe store. Mr. Ealy's hourly pay is $14, and he also gets 8% commission on sales. He worked 80 hours
over the last pay period and had $3,450 in shoe sales.
How much was his total income consisting of wages and pay over the last pay period?

Answers

Answer:

1396 dollars total

Step-by-step explanation:

First we do the salary

80 hours x 14 dollars= 1120 dollars

1120+ 8 percent of shoe sales

shoe sales=3450$

3450x0.08  commision=276$

1120+276= 1396 dollars


Find the equation of the line.
Use exact numbers.
Y=?x+?

Answers

Answer:

y=.75x-2

Step-by-step explanation:

4,1

8,4

3/4 or .75x

to check answer:

(.75*8)=6

6-2

4

The equation of the line shown in the graph is y = 4x / 5 -2.

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,

Points located on the graph that lies on the line are (0, -2), and (2.5, 0)

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

Substitute the value in the above equation,

m = 0+ 2 / 2.5 -0 = 20/25
m = 4 / 5

The equation of the line is given as

y - y₁ = m (x - x₁)

Substitute the one point (-2, 0) and m in the above equation,
y + 2 = 4/5 (x - 0)

y = 4x / 5 -2

Thus, the equation of the line shown in the graph is y = 4x / 5 -2.

Learn more about slopes here:

https://brainly.com/question/3605446

#SPJ2

Level 5a: The marching band is selling hats for $7 and t-shirts for $15. The band’s fundraising goal is $600. The equation to represent the situation is 7x + 15y = 600. Find the x and y intercept and clearly identify which is which. Round to the nearest tenth.

Answers

Answer:

7

x

+

15

y

=

600

Find the x-intercepts.

Tap for more steps...

x-intercept(s): (6007,0)

Find the y-intercepts.

Tap for more steps...

y-intercept(s): (0,40)

List the intersections.

x-intercept(s): (6007,0)

y-intercept(s): (0,40)

Step-by-step explanation:

Find the x - and y - intercepts of the graph of the linear equation-4x+8y=-16

Answers

Answer:

y-intercept: (0, -2)

x-intercept: (4, 0)

Step-by-step explanation:

The x intercept occurs when y = 0, so you can substitute 0 in for y and solve for x as shown:

-4x+8y=-16

-4x+8(0)=-16

-4x+0=-16

-4x=-16

x=4 ---------- format correctly in (x, y) : (4, 0)

The y intercept occurs when x = 0, so you can substitute 0 in for x and solve for y as shown:

-4x+8y=-16

-4(0)+8y=-16

0+8y=-16

8y=-16

y=-2 ---------- format correctly in (x, y) : (0, -2)

Choose the correct written expression for: (9 x 4) divided by 6.

Options:

he quotient of 9 and 4 times 6

divided by the product of 9 and 4

the product of 9 and 4 divided by 6

9 times 4 divided by 6

Answers

Answer:

the product of 9 and 4 divided by 6

YOOOO HELP ME ASAP BRO THIS IS DUED BY TONIGHT COME ON PLEASE
EITHER ONE IS FINE

Answers

Answer:

fish food

Step-by-step explanation:

bc my moomy pappa gave me food and im so smart now and they broken now up

A rain gauge is accurate within 0.5 mm of the true rain height. One Sunday
afternoon, it reads a height of 60mm. Formulate an absolute value equation, where
r is the true rain height, that can help you figure out the least rain height possible
and the greatest rain height possible.

Answers

Answer: 59.5 ≤ r ≤ 60.5

Step-by-step explanation:

Given that :

Accuracy range = ±0.5 of true value

True height of rain (r) = 60mm

Absolute value equation to find the least and greatest height if rain possible ;

|r| = 0.5

To remove the absolute value sign ;

|r| ± 0.5

r = 60mm

60 - 0.5 ≤ r ≤ 60 + 0.5

59.5mm ≤ r ≤ 60.5mm

Hence,

Greatest height possible = 60.5mm

Least height possible = 59.5 mm

What is the standard form of the polynomial,
9x2 + 5x + 27 + 2x3

Answers

Answer
2x^3+9x^2+5x+27

The standard form of the given polynomial ( 9x² + 5x + 27 + 2x³ ) is 2x³ + 9x² + 5x + 27.

What is the standard form of the polynomial?

To write a polynomial in its standard form, we first simplify then write the terms in an descending order.

Given the polynomial; 9x² + 5x + 27 + 2x³

First, we move the constant 27 to the right end of the expression

9x² + 5x + 2x³ + 27

Next, we move 2x³ left end of the expression

2x³ + 9x² + 5x + 27

Therefore, the standard form of the given polynomial ( 9x² + 5x + 27 + 2x³ ) is 2x³ + 9x² + 5x + 27.

Learn more about standard form of polynomial here: https://brainly.com/question/15313798

#SPJ9

Please answer these questions! Legit answers only!

Answers

Answer:

204.4 amu

Step-by-step explanation:

0.30 * 203 = 60.9

0.70 * 205 = 143.5

60.9 + 143.5 = 204.4 amu

I hope this helps!

Can someone please answer this question. Identify the vocabulary word that matches the picture. ​

Answers

Supplementary lines
This is a line the equals 180 degrees which is like the one in the picture

Given: Lines y and z are parallel, and ABC forms a triangle. Prove: m∠5 + m∠2 + m∠6 = 180° Lines y and z are parallel. Triangle A B C sits between the 2 lines with point A on line y and points C and B on line z. Angle C A B is 2. Its exterior angle to the left is 1 and its exterior angle to the right is 3. Angle A B C is 6 and its exterior angle to the right is 7. Angle B C A is 5 and its exterior angle to the left is 4. Statements Reasons 1. ABC is a triangle 1. given 2. y ∥ z 2. given 3. ∠1 ≅ ∠5; ∠3 ≅ ∠6 3. ? 4. m∠1 = m∠5; m∠3 = m∠6 4. def. ≅ 5. m∠1 + m∠2 + m∠3 = m∠LAM 5. ∠ addition postulate 6. m∠1 + m∠2 + m∠3 = 180° 6. def. Straight angle 7. m∠5 + m∠2 + m∠6 = 180° 7. substitution Which could be the missing reason in Step 3? alternate interior angles are congruent alternate exterior angles are congruent vertical angles are congruent corresponding angles are congruent

Answers

Answer:

The correct option is;

Alternate interior angles

Step-by-step explanation:

The m∠5 + m∠2 + m∠6 = 180° proof is given as follows;

Statement                [tex]{}[/tex]                        Reason

1. ABC is a triangle              [tex]{}[/tex]             Given

2. y ║ z                                [tex]{}[/tex]              Given

3. ∠1 ≅ ∠5; ∠3 ≅ ∠6                         Alternate interior angles

4. m∠1 = m∠5; m∠3 = m∠6        [tex]{}[/tex]       Definition of (congruency) ≅

5. m∠1 + m∠2 + ∠3 = m∠LAM        [tex]{}[/tex]  ∠Addition postulate

6. m∠1 + m∠2 + ∠3 = 180°        [tex]{}[/tex]        Definition of straight angles

7. m∠5 + m∠2 + ∠6 = 180°        [tex]{}[/tex]        Substitution property

Step 3;

Given that line y is parallel to line z, we have that the transversal AB will make equal corresponding angles with the lines y and z, therefore, ∠6 will be equivalent to segment AB extended

Which gives, ∠6 is supplementary to ∠a where ∠a = ∠1 + ∠2

Therefore, given that ∠3 is also supplementary to ∠a where as we have above, ∠a = ∠1 + ∠2, we have that ∠3 = ∠6 and ∠3 ≅ ∠6 where ∠3 and ∠6 are alternate interior angles;

Similarly, ∠1 ≅ ∠5 by alternate interior angles of two parallel lines property.

Answer:

The answer is A. alternate interior angles are congruent

Step-by-step explanation:

I tried all my options and that one was correct.

When a figure is increased to make a larger image, are the two figures congruent?

Answers

Answer:

No because Congruent means the same, but since it's a different size than the original then they aren't the same.

Step-by-step explanation:

Suman monthly income rs 25000 he spend 1/5 of his income for house rent and 3/5 of his income an.other exp enditure how much did he save every month

Answers

Answer:

₹ 5000

Step-by-step explanation:

Income= ₹ 25000

House rent = 1/5 of 25000

                  = [tex]\frac{1}{5}*25000[/tex]

                 = ₹ 5000

Other expenditure = 3/5 of 25000

                              = [tex]\frac{3}{5}*25000[/tex]

                              = 3 * 5000

                              = ₹ 15000

Savings = 25000 - ( 5000 + 15000)

              = 25000 - 20000

              = ₹ 5000

Answer:

I will return to this question in 3 minutes....please wait.

It is the middle of the night and yeah

Step-by-step explanation:

thougth ri4rng4g 3i45uto34jkmt

Hay dos números naturales consecutivos y la suma del cuadrado de esos números es 221¿cuáles serán esos números?

Answers

Let x and x+1 be the consecutive integers.

The sum of squares is:
(x)² + (x+1)² = 221
Expand second term:
x² + x² + 2x + 1 = 221
Combine like terms:
2x² + 2x + 1 = 221
Subtract 221 from both sides to make quadratic form:
2x² + 2x - 220 = 0
Divide both sides by 2:
x² + x - 110 = 0
Factor:
(x + 11)(x - 10) = 0
x = -11 or x = 10

Answers: 10 and 11 or -10 and -11

Does the graph show a proportional
relationship? If so, use the graph to find
the constant of proportionality.

Answers

Answer:

yes. y-=25x

Step-by-step explanation:

Answer:

its 40

Step-by-step explanation:

A ball is thrown strait up from the top of a 64 foot tall building with an initial speed of 48 feet per second. The height of the ball as a function of time can be modeled by the function h(t)=-16t^2+48t+64. At what other time will the ball be at a height of 64 feet? How long will it take for f ball to reach its maximum height? What is he maximum height reached by the ball? How long willlit take for the ball to hit the ground?

Answers

Answer:

see below

Step-by-step explanation:

h(t)=-16t^2+48t+64

Find when h(t) = 64

64 = -16t^2+48t+64

Subtract 64 from each side

0 =  -16t^2+48t

Factor

0 = -16t( t-3)

Using the zero product property

-16t =0    t-3 =0

t=0 and t=3

Other than at t=0,  so at t=3 seconds

How long will it take for f ball to reach its maximum height?

Find the vertex

t = -b/2a = -48 / ( 2 * -16) = -48/ -32 = 1.5 seconds

It will reach the maximum height at 1.5 seconds

What is the maximum height reached by the ball?

The height will be

h(1.5) = -16*(1.5)^2+48(1.5)+64

       = -36+72+64

       = 100

The maximum height is 100 ft

How long will it take for the ball to hit the ground?

h(t) =0

0=-16t^2+48t+64

Factor

0 = -16( t^2 - 3t -4)

0=- 16( t-4) (t+1)

Using the zero product property

t-4=0     t+1=0

t =4     t = -1

Since time cannot be negative

t=4 seconds

NEED ANSWERS ASAP (algebra)


1.Find the equation of line W that has a y intercept of 8 and x intercept of 5

2.What is the slope of the line with the following equation
y= -3x + 7

3.what is the x intercept of the line with the following equation
6x-3y=24

4.Solve the following inequality


[tex] - 53 \geqslant - 3(3x + 3) + 3x [/tex]

5.solve the equation
[tex] \frac{3x}{4} - \frac{x}{12 } = \frac{7}{8} [/tex]
6.Find the Value of x:
[tex]x + ( x + 1) + (2x + 2) + (3x + 3) = 90[/tex]

Answers

Answer:

1) y = -8/5x + 8

2) slope = -3

3) x = 4

4) x ≥ 22/3

5) x = 21/16

6) x = 12

Step-by-step explanation:

1) For the slope, you know you go up 8 left 5 to get from the x-intercept to your y-intercept so it’s positive 8 over -5 (rise over run).

This makes your slope 8/-5 which is the same as -8/5

2) The slope is next to the x, so the slope is -3/1 which is -3.

3) Rearrange the equation to y = mx + b.

Firstly, subtract 6x from both sides:

-3y = -6x + 24

Then, divide both sides by -3:

y = 2x - 8

To get the x-intercept, divide the y-intercept (but positive) by the slope.

8/2 = 4

Your x-intercept is 4.

4) Distribute on the terms:

-53 ≥ -9x - 9 + 3x

Combine like terms:

-53 ≥ -6x - 9

Add 9 to both sides:

-44 ≥ -6x

Divide both sides by -6:

44/6 ≤ x

(Inequality flipped because you divide by a negative)

Simplify:

22/3 ≤ x

Flip the inequality:

x ≥ 22/3

5) Multiply both sides by 4:

3x - x/3 = 7/2

Multiply both sides by 3:

9x - x = 21/2

Combine like terms:

8x = 21/2

Divide both sides by 8:

x = 21/16

or

x = 1.3125

6) Combine like terms:

7x + 6 = 90

Subtract 6 from both sides:

7x = 84

Divide both sides by 7:

x = 12

Hope this helps!

cghmfhjvghvjvhjvhjvgnmvgvhvgmvgnmvg i need answer

Answers

1.)17.32 which would round to 17.3(to find mean you add up all the numbers in the data set then divide by how many numbers there are)

2.)22(mode is the number that is repeated the most in a data set)

Jacques, an artisan cheese maker, collects data on every step of the cheese-making process for each batch he makes. Jacques noticed that the daily high temperature in his shop on the day he made a batch of cheese was related to the pH of the cheese the next morning. He computed the correlation between the daily high temperature and the pH of the cheese to be −0.64 . What information does the correlation provide about the relationship between the daily high temperature and the pH of the cheese?

Answers

Answer:

The information is  

  The daily temperature of the shop increases while the  pH of the cheese decreases

Step-by-step explanation:

From the question we are told that

  The  correlation between the daily high temperature and the pH of the cheese to be −0.64

Generally the  information this negative correlation provides a about the relationship between the daily high temperature and the pH of the cheese is that as the daily temperature of the shop increases that pH of the cheese decreases

Grace and Hannah are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Grace is 250 miles away from the stadium and Hannah is 306 miles away from the stadium. Grace is driving along the highway at a speed of 40 miles per hour and Hannah is driving at speed of 54 miles per hour. Let GG represent Grace's distance, in miles, away from the stadium tt hours after noon. Let HH represent Hannah's distance, in miles, away from the stadium tt hours after noon. Write an equation for each situation, in terms of t,t, and determine the number hours after noon, t,t, when Grace and Hannah are the same distance from the stadium.

Answers

Answer:

Step-by-step explanation:

Grace: -40t+250

Hannah: -54t+306

-40t+250 = -54t+306

SOLVE THE EQUATION ABOVE

t=4

The total number of hours afternoon when Grace and Hannah are the same distance from the stadium is 4 and this can be determined by forming the linear equations.

Given :

Grace is 250 miles away from the stadium and Hannah is 306 miles away from the stadium. Grace is driving along the highway at a speed of 40 miles per hour and Hannah is driving at speed of 54 miles per hour.

The following steps can be used in order to determine the number of hours afternoon when Grace and Hannah are the same distance from the stadium:

Step 1 - According to the given data, 'G' represents Grace's distance, in miles, away from the stadium and 'H' represents Hannah's distance, in miles, away from the stadium.

Step 2 - The linear equation that represents Grace's distance from the stadium is:

[tex]G = 250-40t[/tex]

Step 3 - The linear equation that represents Hannah's distance from the stadium is:

[tex]H = 306 - 54t[/tex]

Step 4 - The value of 't' when Grace and Hannah are the same distance from the stadium is:

[tex]306-54t = 250-40t[/tex]

Step 5 - Simplify the above expression.

[tex]56=14t[/tex]

[tex]\rm t = 4\;hr[/tex]

So, the total number of hours afternoon when Grace and Hannah are the same distance from the stadium is 4.

For more information, refer to the link given below:

https://brainly.com/question/11897796

Can you please answer ASAP I need the answer

Answers

Answer:

I think x=8

Step-by-step explanation:

5(x+7)+15=90

90 because it's a 90 degree angle

5x+35+15=90

5x+50=90

5x=40

x=8

CAN SOMEONE HELP ME PLEASE NEED THIS DONE BEFORE 10:00

Answers

Answer:

27/2 or 13.5

Step-by-step explanation:

use PEMDAS

Divide the 18 by 2 then multiply by 3

Subtract 3 from 5 then divide the top 27 by the bottom 2

Answer:

the answer is 9

Step-by-step explanation:

18 divided by 2 equals 9. then 9 times 3 equals 27. 27 divides by 3 (5-2 =3) which equals 9

I need help with this question.
-3(k+5)>-7-3k

Answers

Answer:

no solution

Step-by-step explanation:

-3(k+5)>-7-3k

Distribute

-3k -15 > -7-3k

Add 3k to each side

-3k+3k -15 > -7-3k+3k

-15 > -7

This is not true so there is no solution

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