Use the Pythagorean Theorem to find the length of the leg in the triangle below. The figure shows a right triangle with one leg marked 3. The hypotenuse is marked 5.

Answers

Answer 1

9514 1404 393

Answer:

  4

Step-by-step explanation:

If the unknown leg is represented by x, then the Pythagorean theorem tells you ...

  x² + 3² = 5²

The sum of the squares of the legs equals the square of the hypotenuse.

Solving for x, we have ...

  x² = 5² -3² = 25 -9 = 16

  x = √16 = 4 . . . . . . . only the positive root is of interest

The missing leg length is 4 units.

_____

Additional comment

This exercise shows you that the triple (3, 4, 5) will form a right triangle. It is the smallest integer "Pythagorean triple", and the only one that is an arithmetic sequence (the differences between the numbers are the same). You will see this a lot, sometimes multiplied by various factors: 6, 8, 10, for example. It is worth remembering.

Answer 2

Answer:

4

Step-by-step explanation:

Correct answers:

$4$

Let a represent the length of the leg and label a on the figure.

The figure shows a right triangle with legs marked a and 3. The hypotenuse is marked 5.

The figure shows a right triangle with legs marked a and 3. The hypotenuse is marked 5.

Using the Pythagorean Theorem with b=3, c=5, and solving for a, we have

a2+b2a2a2a2a2aa=c2=c2−b2=52−32=25−9=16=16−−√=4

The length of the leg is 4.


Related Questions

I need help plz (will give brainlyist)

Answers

Answer:

x=5/2 ft

Step-by-step explanation:

∵V=lbh

⇒15/16= 3/4×1/2×x

(15/16)÷(3/8)=x

∴x=5/2 ft

Please help!

Thank you ☺️

Answers

Answer:

I think it's,1,7,7 that will not make a triangle

hope this help

Can someone pleaseee help

Answers

Answer:

Step-by-step explanation:

all you have to do is * 7 by 5 and divide by 2

multiply 7 * 5 then divide by 2 which equals to 17.5

What type of data display is shown below?
Student Grades
60
69
99
82
92
60
70
HA
100
80
90
O A. Histogram
O B. Box-and-whisker plot
C. Stem-and-leaf plot
O D. Scatterplot

Answers

The answer would be stem and leaf plot

Answer:

B) Box-and-Whisker plot

Which value is NOT a solution of x^3 + 64 = 0

Answers

Hi can we see the choicest

All but one of the following cannot be used internationally​

Answers

Answer:

I think national flag cannot be used internationally

Step-by-step explanation:

hope it helps you

How many solutions dose x+y=10 x+y=12

Answers

There’s are 2 choices bffbbcn

Answer:

There are infinite solutions.

Think about it. The equation says essentially:

12 + any number = 12 + any number.

y + 12 = y + 10 + 2

y + 12 = y + 12

  y - y = 12 - 12

       0 = 12 - 12

       0 = 0

Step-by-step explanation:

A fire truck pulls up to a burning building with a person trapped at the 4th floor window which is 45 ft off the ground. The truck is parked 9 ft away from the building to give the firefighters and police room to work on the ground. The base of the ladder is 5 ft off the ground already because it is sitting up on the truck. If it takes 2 seconds to extend the ladder one foot, how long will it take the firefighters to extend the ladder to the window?

Answers

Answer:

108 seconds i belive

Step-by-step explanation:

40 x 2 = 80 seconds and if you add the 9ft 108 seconds

What is the domain? Is it (-4,3)

Answers

Yes I think you are correct. The domain appears to be the set of x values such that -4 < x < 3 meaning that x is between -4 and 3, excluding each endpoint. In interval notation, that translates to (-4, 3). This of course assumes that we have two vertical asymptotes bookending the left and right sides of the curve, and these vertical asymptotes are at x = -4 and x = 3. If the curve extends beyond these boundaries, then the domain would instead be the set of all real numbers.

Find the distance between the pair of points (2,-1) and (-5,-5)?

Answers

Answer:

down 4 and over 7 so 11

Step-by-step explanation:

Marking as brainliest



So basically I need u to in ur on words for the reasoning to explain to me how I got my answer. An the answer is in the second box I circled it btw this is 9th grade algebra!

Answers

you knew that it had to be a total of $60.60 and that the flat cost of the plan is $48. so you subtracted the flat cost from the total cost to get the amount that could be spent on gigabytes of data. since you knew that the gigabytes cost $3 each, you divided the remaining budget (12.60) by $3 and got the number of gigabytes that she can get.

sorry if that's confusing or wordy! hope it helps!

A sphere has a radius of 5. What is its diameter?

Answers

Answer:

D=10

Step-by-step explanation:

Diameter of a Sphere

D = 2 r

D=2(5)

D=10

Answer:

Diameter = 10

Diameter - is the full thing

Radius - Is only half of the diameter.

Step-by-step explanation:

The picture will explain it to you visually

Which of the following is most likely the next step in the series?

Answers

Answer:

Its D

Step-by-step explanation:

Please help

A vector is drawn on a grid

Answers

Answer:

.....

..

...

..

Step-by-step explanation:

I cant see the grid

Plz help this is due today i would have done it myself but i totally forgot about these so PLZ HELP AND NO LINKS AND NO GROSS PICTURES OR I REPORT.

Answers

Answer:

Answer B will be the best answer for your question.

Step-by-step explanation:

Polygons usually have straight sides, but this one does not.

Submit

IM.MP3.PC.2020-2021

Question: 1-2

Examine the polygons on the coordinate plane.

162

Select the triangle that represents a translation of

GHK.

B В

A

H

D

B

Ο Ο Ο Ο

C С

A

С

Answers

Answer:

can you send a picture please

3. Which reason can be used to conclude that DFGH is a parallelogram?
a) There are two pairs of congruent opposite angles.
D
b) The diagonals bisect each other.
c) There are two pairs of congruent opposite sides.
d) There are two pairs of opposite parallel sides.

Answers

Answer:

D) There are two pairs of opposite parallel sides.

Step-by-step explanation:

A parallelogram is a four-sided plane rectilinear figure with opposite sides that are parallel.

the answer is d there are two pairs of opposite parallel sides

Which of the following terms correctly describe the object below?
Check all that apply.
A. Polygon
B. Pyramid
C. Triangle
D. Prism
E. Polyhedron
F. Square

Answers

Answer:

pyramid,  solid, polyhedron

Step-by-step explanation:

The given figure is a pyramid.

What is a pyramid?

A pyramid is a three-dimensional shape. A pyramid has a polygonal base and flat triangular faces, which join at a common point. A pyramid is formed by connecting the bases to a vertex. Each edge of the base is connected to the vertex, and forms the triangular face, called the lateral face.

The given figure is a square pyramid, since it has a square base where all the edges are joined at a common vertex by four triangular faces. A square pyramid characterized by a square base is a three-dimensional shape having five faces, thus called a pentahedron. The most famous example of such a square pyramid is the Great Pyramid of Giza.

Learn more about pyramid here

https://brainly.com/question/13057463

#SPJ2

PLS HELP WILL GIVE BRAINLESS

Given 4 < a < 5, 2 < b < 4 Find: a / b

Answers

Answer:

I hope this helps!

Step-by-step explanation:

4<a<5

2<b<4   multiply

4x2 < axb < 5x4

8<ab < 20

Answer:

1<a/b<2.5

Step-by-step explanation:

bro you're gonna give me brainless ://

We are given 4<a<5 and 2<b<4 and are asked to find a/b.

Since there is a wide range of values of numbers from 4 to 5 and 2 to 4, there is no definite answer to this. However, we can take the most extreme values here and write them on the opposite ends of the inequality.

For example, the lowest value here is >4/4 (>1) because that is the smallest value from the first inequality divided by the largest value from the second inequality. The other extreme is the biggest value possible, which is <5/2 (<2.5).

Given these extremes, we can now rewrite the inequality.

(smallest value)<a/b<(largest value)

1<a/b<2.5

The cardinal number of {17, 18, 19, 20, ..., 95} is

Answers

Answer:

95

Step-by-step explanation:

a cardinal number is anything that is to 70 and the rest of the numbers above 70 are counting by 10s

Please help me with this problem. Do not send me a link to some random website. I do not trust the link given that requires me to download it nor does Brainly allow links to websites other than itself to be on its community or whatever.

Answers

Answer: [tex]\left[\begin{array}{ccc}|x|0|1|2|3|4|5|6|\\|P(x)|0|4|8|12|16|20|24|\end{array}\right][/tex]

b. P(x)= 4x

c. The graph would go in a straight line touching each point given.

Step-by-step explanation: To find the perimeter of a square you can use the equation 4(x). If you multiply each x value by 4 you'll get the P(x) values.

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Which is equivalent to *_?
V2
OA.
xV2
2
2x
OB.
V2
Oc.
2x
12
OD.
D. **v2
2
O E V2x​

Answers

1233444567801082737373727272

A pair of shoes has been marked up by 65%. If the original price was $40.00, what is the new price?

Answers

Answer:

First we need to see how many times 65% will make the price go up by 100%. We can see this by dividing 100 by 65. 100 divided by 65 is 1.53846153846. Now we can multiply 40 by 1.53846153846 and see what we get. 40x1.53846153846=$61.5384615384.

This is a lot of decibal numbers so if you seek more help then contact me on discord at Mousycritter#2842 for free advice!

Step-by-step explanation:

HELPP!!! 65 points GIVIN

Answers

its 3 1/4 you will thank me later :)

Answer:

the third one

3 1/4

Step-by-step explanation:

The total number of running yards in a football game was less than 100. The inequality x < 100 represents the situation.
Which graph represents the inequality?
95 96 97 98 99 100 101 102 103 104 105
O,
95 96 97 98 99 100 101 102103104105
o
95 96 97 98 99 100101102103104105
95 96 97 98 99 100 101 102103104105

Answers

Answer:

sorry I'm late but it's b I'm on unit test on edge

Answer: it is b

Step-by-step explanation:

If there were five times as many children as adults at the picnic and there were at least 120 people at the picnic, how many adults and children were at the picnic?

Answers

Answer:

20 adults

100 Children

Step-by-step explanation:

Answer: 20 adults and 100 children

Step-by-step explanation:

a = adults, c = children

120 = a + c

c = 5a

120 = a + 5a

120 = 6a

20 = a

20 times 5 is 100 so 100 children

What’s the answer to this ?

Answers

Answer:

Step-by-step explanation:

[tex]0.25=\frac{x}{140} \\140*0.25=\frac{x}{140}*140\\35=x[/tex]

1st box: 140

2nd box: 140

3rd box: 35

What is the volume of a rectangular sandbox that is 4 feet by 5 feet by 2 feet?

(A) 14ft
(B) 11ft
(C) 40ft
(D) 22ft

Answers

Answer:

40 ft

Step-by-step explanation:

lxbxh is 40 hope it helps have a great day Mark me as brainiest please

To find the volume of a rectangle, you multiply the length, width and height together, so 4 x 5 x 2 which gives you 40! The answer is C, 40! Hope this helps :)

Choose the sentence that is out of sequence.

Mary Jo began reading The Alphabet Book.
Mother put Jimmy to bed.
Jimmy helped read.
Jimmy fell asleep.

Answers

Answer:

C.

Step-by-step explanation:

GIVING EVERYTHING IF CORRECT. No fake answers, you will be reported.

Answers

Answer:

283.5

Step-by-step explanation:

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