Find the value of b for the triangle using the Pythagorean Theorem.

Find The Value Of B For The Triangle Using The Pythagorean Theorem.

Answers

Answer 1

Step-by-step explanation:

Hey there!

Given;

The given figure is a Right angled triangle, taking reference angle as angle B.

Hypotenuse= AB=5

Base= CB= 4

Perpendicular= AC=b

Using Pythagorean theorem.

[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]

[tex]p = \sqrt{ {h}^{2} - {b}^{2} } [/tex]

Put all values.

[tex]b = \sqrt{ {5}^{2} - {4}^{2} } [/tex]

[tex]b = \sqrt{25 - 16} [/tex]

[tex]b = \sqrt{9} [/tex]

Therefore, the value of b is 3.

Hope it helps...


Related Questions

The home team scored 3 touchdowns. The visiting team scored 4 field goals. Which team scored more points?

Answers

Answer:

The home team with 3 touchdowns

Step-by-step explanation:

A touchdown in football is equal to 6 points

6*3=18

A field goal is equal to 3 points

4*3=12

The home team scored more points at 21 points than the visiting team which had only scored 12 points.

Given that, the home team scored 3 touchdowns. The visiting team scored 4 field goals.

We need to find which team scored more points.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Now,

If you are including the extra point as the touchdown it would be 7 points times 3 touchdowns which would put the first team at 21 points total (if not including the extra point they would have 18 points)

For the 2nd team, they have 3 pts times 4 field goals which would put the visiting team at 12 points total.

Therefore, the home team scored more points at 21 points than the visiting team which had only scored 12 points.

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A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 3:40 p.M. At this time, he started pumping gas into the tank. At exactly 3:44, the tank was full and he noticed that he had pumped 10.2 gallons. What is the average rate of flow of the gasoline into the gas tank?

Answers

Answer:

2.55gallons.min

Step-by-step explanation:

given that the initial time before pumping is 3:40 p.M.

after pumping the time reads 3:44, hence he use 4 min to fill his tank

time taken=4 min

also given is that had pumped 10.2 gallons

the capacity of tank= 10.2gallon

Then the average rate of pump is

average rate= capacity of tank/time taken

average rate= 10.2/4min

average rate=2.55gallons.min

solve the equation and graph the solution:

24 + 6k < -6(-4-k)

Answers

Answer:

no solution

Step-by-step explanation:

24 + 6k < -6(-4-k)

Distribute

24+6k< 24 +6k

Subtract 6k from each side

24 < 24

This is never true so there are no solutions

Answer:

there is nothing to graph because there is no solution.

Find the slope using these two coordinate points:
(0, 15) and (4, 3)
Your answer

Answers

Answer:

slope = -3

Step-by-step explanation:

slope is: (delta y)/(delta x)

so slope = (15-3)/(0-4)

               = -3


[tex]7 + 3 ^{2} \times 2[/tex]
elevated the expression ​

Answers

The correct answer it’s 25
The answer is 25 , go through BIDMAS (brackets indices division multiply addition subtraction)
So 3x3 = 9
9x2 = 18
18+7 =25

POINTS!! I NEED HELP WITH THIS, WILL GIVE BRAINLIEST TO BEST ANSWER

Answers

Answer: A

Figure A is a counterexample because they are vertical angles that equal 180°, which makes the statement false.

plz mark brainliest

I need help on this one too please and thank you

Answers

completar y angles= add up to 90 degrees
so it’s C because it needs to equal 90

if b = 3 then b to the 2nd power is equivalent to

Answers

b= 3 so
3 to the second power is = 9
because 3x3=9

A square playing field has an area of 1156 yd.² how long is each side of the field

Answers

Answer: 34 yards

Step-by-step explanation:

A Square has all its sides having equal lengths so all the sides of this playing field will be the same.

The area of a square is calculated by multiplying the length of the field by its Width.

To find the length of each side therefore, one can simply find the square root of the area;

= √1,156

= 34 yards

1. Find f(3) for
the function
below.
f(x) = 4^x

Answers

Answer:

64

Step-by-step explanation:

f(x) = 4^x,

When x = 3,

=> f(3) = 4^3

= 4 * 4 * 4

= 64

Answer:

f(3) = 64

Step-by-step explanation:

To evaluate f(3), substitute x = 3 into f(x) , that is

f(3) = 4³ = 64

Which equation is equivalent to



4x − 14 + 2x = 70?

Group of answer choices

8X = 56

2X = 56

20X = 70

6X = 84

Answers

Answer: 2x=56

Step-by-step explanation:

Answer:

The correct answer would be A.

Step-by-step explanation: Because If you look at it closly you'll see how their equivalent.

Hugh says that “one less than four times a number” can be written as two expressions: 1 - 4n and 4n - 1. Why is Hugh incorrect?
A
because no two expressions are equal

B
because subtraction is not commutative

C
because Hugh forgot to include equal signs

D
because coefficients go after their variables

Answers

it’s b because for example if u plug in 2 for n tthe first equation would read 1-8 which isn’t the same( commutative) to the second equation 8-1

Huge is incorrect, because subtraction is not commutative.

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

Hugh says that “one less than four times a number” can be written as two expressions,

⇒ 1 - 4n and 4n - 1.

Now, We know that;

The subtraction property is not commutative.

And,  1 - 4n ≠ 4n - 1

Hence, Hugh is incorrect.

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combine like terms to create an equivalent expression 6(1/2 w - 3/4)

Answers

1/2w=.5 -3/4=.75
6 x .5w=3w
6 x -.75=4.5

3w
—— =w
3



-4.5
—— =-1.5
3


W=-1.5

you and your business partner are mailing advertising flyers to your customers. you address 6 flyers each minute and have already done 80. your partner addresses 4 flyers each minute and has already done 100. calculate when the two of you will have addressed equal numbers of flyers.

Answers

there are many ways

in 4 minutes, you will have 24 flyers passed out

in 6 minutes, your partner will have 24 passed out.

in 6 minutes, you will have 36 flyers passed out

in 9 minutes, your partner will have 36 flyers passed out.

you can use numbers that can be multiplied with each other or also known as multiples

The marked angle can be classified as . . .

obtuse
straight
acute
right

Answers

The marked angle can be classified as acute

Answer:

Acute

Step-by-step explanation:

The definition of an acute angle is less that 90 degrees.

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

A high school football team scores a total of 42 points by scoring touchdowns and field goals. Suppose each field goal is worth 3 points and each touchdown is worth 7 points.
a. Let x represent the number of field goals and y represent the number of touchdowns. Write an equation that models the total points scored in the game.
b. Identify and interpret the x- and y-intercepts.

Answers

Answer:

a) 3x+7y

Step-by-step explanation:

Sorry I don't know the answer to question B

Hope this helps

The equation models the total points scored in the game as 42 = 3x + 7y, and the x-intercept and y-intercept are 14 and 6.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

A high school football team scores a total of 42 points by scoring touchdowns and field goals.

From the data given in the question:

42 = 3x + 7y

Here x represents the number of field goals and y represents the number of touchdowns.

For x-intercept:

Plug y = 0

3x = 42

x = 14

For y-intercept:

Plug x = 0

7y = 42

y = 6

Thus, the equation models the total points scored in the game as 42 = 3x + 7y, and the x-intercept and y-intercept are 14 and 6.

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.
A baker is making cakes for a party. She uses 2 1/4 cups of flour for each cake. If she has 11 cups of flour, how many cakes can she make?

Answers

The baker can make 4 8/9 cakes or The baker can make 4 full cakes and 8/9 of a cake

11 cups of flour divided by 2 1/4 cups of flour per every cake = 4 8/9 cakes

What is the relationship between angles 1, 2, and 3?

Answers

Answer:

The angles opposite each other when two lines cross. In the figure, the 1 and 3 are vertically opposite angles and they are always equals. Same goes for angles 2 and 4. The angles in matching corners when two lines are crossed by another line, called the transversal.

Step-by-step explanation:

1. Complementary Angles

Definition

Complementary angles are two positive angles whose sum is 90 degrees.

Examples

For example, complementary angles can be adjacent, as seen in with ∠ABD and ∠CBD in the image below. Or they can be two acute angles, like ∠MNP and ∠EFG, whose sum is equal to 90 degrees. Both of these graphics represent pairs of complementary angles.

complementary angles example

Complementary Angles Example

2. Supplementary Angles

Definition

Supplementary angles are two positive angles whose sum is 180 degrees.

Examples

For example, supplementary angles may be adjacent, as seen in with ∠ABD and ∠CBD in the image below. Or they can be two angles, like ∠MNP and ∠KLR, whose sum is equal to 180 degrees. Both of these graphics represent pairs of supplementary angles.

supplementary angles example

Supplementary Angles Example

What is important to note is that both complementary and supplementary angles don’t always have to be adjacent angles.

3. Adjacent Angles

Definition

Adjacent angles are two angles in a plane that have a common vertex and a common side but no common interior points.

Examples

Angles 1 and 2 are adjacent angles because they share a common side.

adjacent angles examples

Adjacent Angles Examples

And as Math is Fun so nicely points out, a straightforward way to remember Complementary and Supplementary measures is to think:

C is for Corner of a Right Angle (90 degrees)

S is for Straight Angle (180 degrees)

Now it’s time to talk about my two favorite angle-pair relationships: Linear Pair and Vertical Angles.

4. Linear Pair

Definition

A linear pair is precisely what its name indicates. It is a pair of angles sitting on a line! In fact, a linear pair forms supplementary angles.

Why?

Because, we know that the measure of a straight angle is 180 degrees, so a linear pair of angles must also add up to 180 degrees.

Examples

∠ABD and ∠CBD form a linear pair and are also supplementary angles, where ∠1 + ∠2 = 180 degrees.

linear pair example

Linear Pair Example

5. Vertical Angles

Definition

Vertical angles are two nonadjacent angles formed by two intersecting lines or opposite rays.

Huh?

Think of the letter X. These two intersecting lines form two sets of vertical angles (opposite angles). And more importantly, these vertical angles are congruent.

Examples

In the accompanying graphic, we see two intersecting lines, where ∠1 and ∠3 are vertical angles and are congruent. And ∠2 and ∠4 are vertical angles and are also congruent.

vertical angles examples

Vertical Angles Examples

Together we are going to use our knowledge of Angle Addition, Adjacent Angles, Complementary and Supplementary Angles, as well as Linear Pair and Vertical Angles to find the values of unknown measures.

Angle Relationships – Lesson & Examples (Video)

32 min

Introduction to Angle Pair Relationships

00:00:15 – Overview of Complementary, Supplementary, Adjacent, and Vertical Angles and Linear Pair

Exclusive Content for Member’s Only

00:06:29 – Use the diagram to solve for the unknown angle measures (Examples #1-8)

00:19:05 – Find the measure of each variable involving Linear Pair and Vertical Angles (Examples #9-12)

Practice Problems with Step-by-Step Solutions

Chapter Tests with Video Solutions

The required relationship between the angles 1, 2, and 3 is ∠1 +∠2 = ∠3.


Given that,
To determine the relationship between angles 1, 2, and 3.

What is the triangle?

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Here,
Angles 1 and 2 are remote interior angles while angle 3 is a remote exterior angle. So there is a property of a triangle in that the sum of the remote interior angles is equal to the remote exterior angle.
∠1 +∠2 = ∠3.

Thus, the required relationship between the angles 1, 2, and 3 is ∠1 +∠2 = ∠3.

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9. Practice: Summarizing (1 point)
The workers leave the lights on in the break room for stretches of about 3 hours. Which light
bulb would light this room using the least amount of energy?
10. Practice: Summarizing (1 point)
The lights in the main room of the factory stay on for stretches of 9 hours. Which kind of light
bulb would light this room with the least amount of energy?

Answers

Can you give us types of bulbs? It would be lowest wattage but if there are different types please list them

ASAP please answer correctly is answered right I will mark brainliest.

Answers

Answer:

x=9

Step-by-step explanation:

Esmerelda simplified a complex fraction. Her work is shown below. Negative 5 and one-fourth divided by three-halves = negative StartFraction 21 over 4 EndFraction divided by three-halves = (Negative StartFraction 21 over 4 EndFraction) (Three-halves) = Negative StartFraction 24 over 6 EndFraction = negative 4

Answers

Given:

The complex fraction is

[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}[/tex]

Esmerelda simplified a complex fraction and steps are given.

To find:

The mistake of Esmerelda.

Solution:

We have,

[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}[/tex]

Convert the mixed fraction in improper fraction.

[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}=\dfrac{-\dfrac{5\times 4+1}{4}}{\dfrac{3}{2}}[/tex]

[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}=\dfrac{-\dfrac{20+1}{4}}{\dfrac{3}{2}}[/tex]

[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}=\dfrac{-\dfrac{21}{4}}{\dfrac{3}{2}}[/tex]

Use the reciprocal of the divisor.

[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}=-\dfrac{21}{4}\times \dfrac{2}{3}[/tex]

[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}=-\dfrac{21\times 2}{4\times 3}[/tex]

[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}=-\dfrac{42}{12}[/tex]

[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}=-\dfrac{7}{2}[/tex]

Therefore, the correct value of given fraction is [tex]-\dfrac{7}{2}[/tex].

Three mistakes of Esmerelda are:

1. Esmerelda added the numerators.

2. Esmerelda added the denominators.

3. Esmerelda did not use the reciprocal of the divisor.

Answer:

B,C,E

Step-by-step explanation:

Gavin and Ethan are training for a race. Last week, Gavin ran 7 kilometers, and Ethan ran twice as far as Gavin. What is the total distance that Gavin and Ethan ran last week? Express your answer in meters.

Answers

If Ethan ran twice as far as Gavin then he ran 14 kilometers. 7*2=14. And then you add 7 to 14 which gives you 21. so they ran a total of 21 kilometers

The total distance that Gavin and Ethan ran last week is 21000 meters.

Given that, Gavin and Ethan are training for a race.

What is total?

A total is a whole or complete amount, and "to total" is to add numbers or to destroy something. In math, you total numbers by adding them: the result is the total.

Last week, Gavin ran 7 kilometers, and Ethan ran twice as far as Gavin.

Number of kilometers Ethan ran =2×7

= 14 kilometers

= 14×1000

= 14,000 meters

Now, 7 kilometers = 7000 meters

Total =14000+7000

= 21000 meters

Therefore, the total distance that Gavin and Ethan ran last week is 21000 meters.

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Explain how you could determine whether
21
3
120
12
and 7
9 have the same decimal
equivalent. Use vocabulary words in your explanation.

Answers

Step-by-step explanation:

ghsusvzbsisieb ujdidjd ki kdjd jarq. id dhdb

The graph below represents the total shipping cost of x items for four different companies.

Shipping Charges
A graph has number of items on the x-axis and shipping cost in dollars on the y-axis. Line W goes through points (0, 5) and (2, 13). Line U goes through (0, 12) and (3, 16). Line Y goes through (0, 10) and (2, 12). Line Z goes through (0, 0) and (2, 4).

Which list places the companies in order from the steepest slope to the least steep slope?
W, Z, U, Y
U, Y, W, Z
W, Z, Y, U
U, Y, Z, W

Answers

Answer:

Steepest to most gentle: W, Z, U, Y

Step-by-step explanation:

Answer: WZUY

Step-by-step explanation: On Edgenuity!!!!!!!!!!!

Clear selection
1 point
2. Find all angles between 0° and 180° which satisfy the equation cos y =-0.63
[A] 26.7, 153.3
[B] 129.1
[C] 26.7, 129.1
[D] 65.1

Answers

Answer:

English people often say: 'A dog is a man's

best friend', and I agree.

I live with my parents on a farm in the country It is a long way from my school, and I haven't got any

brothers or sisters, so I am often alone.

My dog, Bella, is like a best friend to me. When I am at home, she

is with me all the time.She follows me arond the house, and she sleeps next to my bed at night. Bella always wakes up early in the

morning. She has lots of energy and she likes to play. We usually get

up at 6 a.m. and walk in the fields behind my house.

Of course, Bella doesn't talk to me, but she always looks at me

and concentrates when I talk to her. I think she knows when I am happy and when I am sąd. She always knows how

to make me feel better.

When I come home from school, I sit at my desk and do my

homework."

Bella usually relaxes under the desk. When I finish, she jumps up and we go

out again.English people often say:A dog is man's best friend, and I agree. I live

Answer:

B)129.1

Step-by-step explanation:

see the graph of cos

Which point is on the line 4y-2x=0

Answers

Answer:

answer is 1 ) ( -2 -1 )

Step-by-step explanation:

4* (-1) - 2 (-2) = 0

Help please..the top said What ordered pair do you see in the image?

Answers

Answer:

That would be the origin, (0,0).

Please let me know if I'm incorrect!

Answer:

the ordered pair you see is (0,0) or the origin

A stage designer paid $4 per square foot for flooring to be used in a square room. If the designer spent $600 on the flooring, about how long is a side of the room? Round to the nearest foot.
• How is the area of a square related to its side length? Explain
• How can you estimate the length of a side of a square? Explain

Answers

Answer:

A square has equal width and length. To find the area, you have to multiply the width by length but because they are the same length, you may some time see the formula written as L*L or [tex]L^{2}[/tex].

The area of used up by the squares is 150sq feet. I found this by dividing 600 by 4. You can find an estimate by equating 150 the L*L. This gives you an approximate value of 12.  

Please help this test is overdue and I really need to finish it I’ll do brainliest

Answers

Part A : by noon , the weather was 21c

Part B : at sunrise in alaska , the weather was -6c

A. -2 +23 = 21 C

B. -2 x 3 = -6 C

Need help pls Need it

Answers

b
hope this helps!!!!!
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