A right triangle's hypotenuse has length 5. If one leg has length 3, what is the length of the other leg?

Answers

Answer 1
Answer:

a^2 + b^2 = c^2
3^2 + b^2 = 5^2
9 + b^2 = 25
b = _/16
b = 4

Explanation:

Pythagorean Theorem
Answer 2

Answer:

The length of the other leg will be = 4

Step-by-step explanation:

You have to use your Pythagoras theorem to determine the length of the other leg.

Hypotenuse^2=a^2+b^2

since you are given the length of the hypotenuse and one leg you can change the formula to:

b^2 = h^2 - a^2

b = √h^2-a^2

b=√5^2-3^2

b=√25-9

b=√16

b=4


Related Questions

HELP ME PLEASEEE
[WILL GIVE BRAINLIEST TO TOP ANSWER]

Answers

Answer:

C) 157 [tex]cm^3[/tex]

Step-by-step explanation:

[tex](3.14)5^2*6/3= 157[/tex][tex]cm^3[/tex]

Hope this helped! :)

Find the area of each figure

Answers

Answer:

92

Step-by-step explanation:

this figure can be "split" into 3 sub-figures.

one rectangle in the middle, one triangle to the right, and one triangle on top.

these areas we can calculate very easily. and then we simply sum up all 3 of them and we have the answer.

it is clear, the area of a rectangle is length×width.

and the area of triangle is baseline×height/2.

where in a right-angled triangle one of the sides next to the 90 degree angle is the baseline and the other is the height.

the rectangle

R = 10×6 = 60

the triangle to the right

T1 = (14-10)×6/2 = 12

the triangle on the top

T2 = 10×(10-6)/2 = 20

so, the total area is

60+12+20 = 92

The area of the given figure is 92.

This figure contained 3 sub-figures.

One rectangle in the middle, one triangle to the right, and one triangle on top.

The area of these areas we can calculate very easily. and then we ad  all 3 of them and we have the answer.

What is the area of a rectangle?

The area of a rectangle is,

[tex]A=length\times width.[/tex]

What is the area of triangle?

The area of triangle is

[tex]A^*= \frac{1}{2} \times base\times height[/tex]

Where in a right-angled triangle one of the sides next to the 90 degree angle is the baseline and the other is the height.

The area of  rectangle

[tex]R =l\times w \\R=10\times 6 \\R= 60[/tex]

The triangle to the right

[tex]T_1 = (14-10)\times 6/2 = 12[/tex]

The triangle on the top

[tex]T_2 = 10\times (10-6)/2 = 20[/tex]

Therefore, the total area is,

60+12+20 = 92

Therefore the area of the given figure is 92.

To learn more about the area visit:

https://brainly.com/question/3948796

The length of a rectangle is 16 units more than it's with. The area of the rectangle can be expressed as x^4 - 64.

Answers

Answer:

[tex]Width = x^2 - 8[/tex]

Step-by-step explanation:

Given

[tex]L = 16 + W[/tex]

[tex]Area = x^4 - 64[/tex]

Required

An expression for the width

We have:

[tex]Area = x^4 - 64[/tex]

Express as difference of two squares:

[tex]Area = (x^2 + 8)(x^2 - 8)[/tex]

For all acceptable values of x,

[tex]x^2 + 8>x^2 - 8[/tex]

So:

[tex]Length = x^2 + 8[/tex]

[tex]Width = x^2 - 8[/tex]

Sketch a graph of
y=3(x − 2)(x + 1) (x – 4)

ASAPP!

Answers

Answer:

Use the distributive property to multiply 3 by x−2.

y=(3x−6)(x+1)(x−4)

Use the distributive property to multiply 3x−6 by x+1 and combine like terms.  y=(3x  2  −3x−6)(x−4)

Use the distributive property to multiply 3x  2 −3x−6 by x−4 and combine like terms. y =3x  3 −15x  2  +6x+24

Step-by-step explanation:

I also up a link there of a graph. Please tell me if you can open it. Hope this helps! :P

How many degrees are in the angle formed by the hands of the clock?

A, 9
B, 90
C, 180
D, 270

Answers

Answer:

90°

Step-by-step explanation:

15 mins = 1/4 of full circle

1/4 of 360 = 90

90°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

B, 90

Step-by-step explanation:

a right angle is exactly 90 degrees

Click on the graph which represents a function.
3
1
1 2 3
- 3 -
-1
1 2 3
-1
-3
3
1
1
-2-1
3
-3 -2 -1
-1
-2
-3

Answers

Answer:

the numbers in your question are not clear

Answer:can you have it make since?

Step-by-step explanation:

Which of the following ordered pair are equal. a) (6,2) and (2,6)

Answers

First one because thats simple

Please help I am so confused lol. I’ll mark you the brainiest

Answers

Answer:

Since the pentagon is regular, the line connecting the centre of the circle to the verticles (A,B,C,D,E) should inscribe an equal angle in them

You can see what I mean in the attachment

So to mark other points we follow the following steps

Connect OAWith OA as base, make angle of 72°. Say th new line is OB. Similarly, do for the rest of themThis is a cyclic pentagon

Step-by-step explanation:

Hope this helps... Pls vote as brainliest

Simplify ^3 sqrt 5 • sqrt 2

Answers

Answer:

I assume that we want to simplify:

( √5*√2)^3

Remember that:

√a*√b = √(a*b)

(a^n)^m = a^(n*m)

and:

√a = (a)^(1/2)

Then we can rewrite:

( √5*√2)^3 = (√5*2)^3 = (√10)^3

                                     = (10^(1/2))^3 = 10^(3/2)

We could keep simplifying this if we know that:

10^3 = 1000

Then:

10^(3/2) = (10^3)^(1/2) = (1000)^(1/2) = √1000

We can not simplify this anymore.

Help



Will give



Brainlist



:))).



Answers

$10,250

thanks me later, pa brainliest po ako

Jacob travelled 708 km on a bus in 8 hours. Alissa travelled 496 km on a
train in 5 hours. What was the speed per hour of the faster vehicle?*
99.2 km/h
62.0 km/h
141.6 km/h
88.5 km/h

Answers

Answer:99.2

Step-by-step explanation:

Speed = distance÷time

496÷5=99.2

I need help ill give you 15 points. no links or I will like report you. ​

Answers

all real numbers are greater than or equal to 2

What is it called in cubic inch of a cylinder with a height of 4in and a base radius of 5in to the nearest tenths place?

Answers

Answer:

1,256.8in

Step-by-step explanation:

Given data

Height h =4in

Radius r= 5in

The expression for the volume of cylinder is

V=πr²h

Substitute

V=3.142*4²*5

V=3.142 *16*25

V=1,256.8in³

Helppppppppppppppppppp I’ll mark you brainlist don’t respond if you’re going to put something random I will report you :)

Answers

Answer:

y would be 3

Step-by-step explanation:

x would be 0 since the line goes up, meaning it's positive, not negative btw

I NEED AN ANSWER ASAP!!!

Answers

it’ D) 896 cubic meters i guess

Ralph borrows $360 at 0.7% simple interest per month. When Ralph pays the loan back 3 months later, how much interest does Ralph pay?

Answers

The interest he pays is $756, the total he pays is $1,116, but only $756 of that is the interest.

HELP
The net of a triangular prism is shown below. Which of the following equations could be used to find the total surface area of the net?

Answers

Answer:

D.

Step-by-step explanation:

I don't know for a fact but I'm pretty sure its D. sorry if its wrong.

Hope this helped.

can someone please identify one solution please?

Answers

One solution is
y ≥ 2x - 3

Conrad borrowed $5 400 for a second-hand ATV
If his loan was over the course of 3 years at 17.6% compounded quarterly, how much money will he have to repay to cover his loan?
Select one:
a. $9 129.76
O b. $8793.85
O C. $9 226,64
O d. $9053.15
e. $8 903.41

Answers

Answer:

The answer is D

The answer will be D.

3. Which number represents 5.33 written

Answers

533/100 then simplify

5 and 33/100

But that isn't an option and none of those options convert into 5.33, and I haven't been able to solve 3.75 repeating yet nor think it would convert into 5.33 anyhow. Please correct me if I'm solving this wrong.

Which equation gives the sum of infinity sigma 6( 1/3) HURRY PLEASE

Answers

Answer:

3rd option

Step-by-step explanation:

The sum to infinity of a geometric sequence is

S = [tex]\frac{a}{1-r}[/tex]

where a is the first term and r the common ratio

The expression inside the summation is

6 [tex](\frac{1}{3}) ^{n-1}[/tex]

which is in the form of the nth term of a geometric sequence

with a = 6 and r = [tex]\frac{1}{3}[/tex] , then

S = [tex]\frac{6}{1-\frac{1}{3} }[/tex] ← expression required

  = [tex]\frac{6}{\frac{2}{3} }[/tex]

  = 9

Answer:

C I took the quiz

Step-by-step explanation:

IMA In a certain Algebra 2 class of 23 students, 7 of them play basketball and 12 of them play baseball. There are 9 students who play neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball​

Answers

Answer:

19/28 or about 68%

Step-by-step explanation:

7 + 12 + 9 = 28

7 + 12/28

19/28

PLLEASEEE HELPPP!!! ILL BRAINLIST.

2) Using Pythagoras’ Theorem, which is the correct statement (A, B or C)
that describes the relationship between the three side lengths in this
triangle? Explain your choice.
A 262 = x2 + 242 B 242 = x2 + 262 C x2 = 242 + 262

Answers

Answer:

The answer is most likely C.

Step-by-step explanation:

Using the Pythagoras' Theorem, c^2 = a^2 + b^2

I'm not sure if 242 and 262 were 24^2 and 26^2 respectively but I'm using 24^2 and 26^2 for this answer.

The c^2 is in fact x^2 where x is the hypotenuse.

However, the answer could be A if x has to be whole number. In this case, x^2 + 24^2 = 26^2

x^2 = 26^2 - 24^2 = 100

x = sqrt (100) = 10

Find the midpoint of the segment with endpoints:
(9,8) and (3,5).



pls pls pls pls help!!!! for geometry final

Answers

Answer:

Step-by-step explanation:

here x1=9  y1=8  x2=3  y2=5

midpoint=(x2+x1/2   ,   y2+y1/2)

=(3+9/2  ,    5+8/2)

=(12/2    ,     13/2)

=(6   ,    13/2)            

Triangles A B C and R M Q are shown. Angles C A B and M R Q are 29 degrees. Angles A B C and R M Q are 116 degrees.
What additional information could be used to prove that the triangles are congruent using AAS? Select two options.

AngleC ≅ AngleQ
CB ≅ QM
AC = 3.9cm and RQ = 3.9cm
mAngleC = 35° and mAngleQ = 35°
AB = 2.5cm and MQ = 2.5cm

Answers

Answer:

Option 1: AC= 3.9cm and RQ=3.9cm

Option 2: CB = QM

Step-by-step explanation:

i think because you need a side

The additional information needed to prove both triangles are congruent by AAS is any of the following:

C. AC = 3.9cm and RQ = 3.9cm

E. BC = 2.5cm and MQ = 2.5cm

What is the AAS Theorem?

Based on the AAS theorem, two triangles are proven to be congruent if two angles and one non-included side in one triangle are congruent to corresponding two angles and one non-included side in the other triangle.

From the image of the triangles, we know that two pairs of the angles, 29° and 116°, are congruent to each other in the two triangles.

For us to prove that both triangles area congruent by the AAS theorem, we will need to know either of the following: C. AC = 3.9cm and RQ = 3.9cm or E. BC = 2.5cm and MQ = 2.5cm.

Learn more about the AAS Theorem on:

https://brainly.com/question/14635501

#SPJ6

whats the sqaure root of 987

Answers

Answer:

31.4

Step-by-step explanation:

americaamerica america

Answers

Answer:

sweet home america

Step-by-step explanation:

a m e r i c a a m e r i c a

what is 2-78 please help me

Answers

Answer:

2-78

=-76

hope it is helpful to you ☺️

Answer:

[tex]76[/tex]

Step-by-step explanation:

[tex]2 - 78[/tex]

[tex]-76[/tex]

Hope it is helpful....

Please jus solve disssss

Answers

Answer: volume = 56.55

Explanation: I checked with calculator!

Can some one help me please?

Answers

Answer:

i think its 4

Step-by-step explanation:

It’s probably number 4 ,
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