If the hypotenuse of a right triangle is 8 and one leg is 6, what is the length of the other leg?

Answers

Answer 1

Answer:

5.3

Step-by-step explanation:

pythagorean theory :,)

[tex]a^{2} + b^{2} = c^{2}[/tex]

the legs are [tex]a[/tex] and [tex]b[/tex], while the hypotenuse (the longest side) is [tex]c[/tex]

fill in the equation with the information u have and simplify so

[tex]a^{2} + 6^{2} = 8^{2}[/tex]

[tex]a^{2} + 36 = 64[/tex]

now get the variable ([tex]a[/tex]) by itself

[tex]a^{2} + 36 = 64\\[/tex]

(subtract 36 on both sides)

[tex]a^{2} = 28[/tex]

[tex]a = 5.3[/tex]

square root of both sides ≈ 5.3

(you could also multiply the square root of 7 by 2)


Related Questions

Help please!
find the area of the shaded region. round to the nearest hundredths if necessary.
You can answer just 1 of them and thats fine but id really appreciate if all could get answered!

Answers

Answer:

b. 84.612cm

c. 314.15cm

d. 5cm

Step-by-step explanation:

b. solve for both triangles and height of rectangle using Sin

c. pi(r)h  3.1415(10)(10)

d. 3*3-2*2=5

Rick is currently 72 inches tall. He wants to compare himself to his friend who is 5 feet and 11 inches tall. How many inches taller is Rick than his friend?

Answers

Answer:

1 inch

Step-by-step explanation:

We would have to convert rick's friends height to inches

1 feet = 12 inches

Friend's height = (12 x 5) + 11 = 71 inches

Difference in height = 72 - 71 = 1


Pets In a group of 150 people, each person has Complete the table.
a dog, a cat, or a bird. The frequency table
shows how many people have each kind of pet. Total Relative Frequency
Complete a relative frequency table to show the
Table
distribution of the data with respect to all
Pets Men Women Total
150 people.
% % %
Cat % % %
Frequency Table
Pets Men Women Total
Bird % % %
Dog 30 38 68
Total % % 100%
Cat 30 19 49
(Round to the nearest tenth as needed.)
Bird 17 16 33
Total 77 73 150

Answers

Explanation is in the file

tinyurl.com/wpazsebu

Combine like terms to create an equivalent expression.
Make sure to simplify coefficients and constants as well.
-\dfrac65-\dfrac23v+\dfrac{4}{15}+\dfrac13v−
5
6


3
2

v+
15
4

+
3
1

v

Answers

Answer is in the file below

tinyurl.com/wpazsebu

Your Welcome!!!!

The answer is in the picture!!!! :3

7. What are two possible solutions for x if: x + 1 > 8 *
10 points
6
9
5
15

Answers

Answer:

The answer ,

if x = 15

x +1 > 8

16 > 8

if x = 9

x +1> 9

The answer is 15 and 9


What is the perimeter of ABCD?
14 units
38 units
44 units
49 units
ANSWER: C) 44 units

Answers

It’s 38 u it’s bc Ik it is

how do you find the range of 0.3 0.9 0.2 0 0.7 0.9 0.4

Answers

You subtract the biggest number from the smallest number. So it would be 0-0.9=0.9

How many lines of symmetry does this rectangle have

Answers

The line of symmetry is 2 bc the two top and the two bottom

HEP PLSSS

Given f(x)=3x2+4x and g(x)=2x2−x+1.

What is (f+g)(x)?




5x2+3x+1

−x2−5x−1

​6x2−4x+1​

​x2+5x−1​

Answers


(fg)(x) means multiply f(x) by g(x). Use the distributive law:

(fg)(x) = (x2+3x+2)(x+1) = x3 + 3x2 + 2x + x2 + 3x + 2 = x3 + 4x2 + 5x + 2

Find the value of x. Write your answer in simplest form.

Answers

Answer is: 10
See the workup in photo below.

Solve using substitution ​

Answers

Y=10.86
X=-2.57
ANSWER- (X,Y) (-2.57, 10.86)

A circular garden is 20 feet across; a gardener wants to cover it with sod. If each sod piece is two square feet, how much sod will be needed?

Answers

Answer:

750

Step-by-step explanation:

PLEASE HELP I'LL GIVE OUT EXTRA POINTS TO THOSE WHO ANSWER CORRECTLY
2. Is this number in scientific notation? Why or why not? If not, write in the correct format.
0.34 x 108
Please and thank you <3

Answers

no because the first number has to be greater than one

Write an equation in POINT-SLOPE
form that goes through the point (1,11)
and is PERPENDICULAR to y=-1/7x+1
(TYPE IN YOUR ANSWER WITH NO
SPACES). UPLOAD YOUR WORK.
point -slopeform:y-y=m(x-x1)
slope-intercept for:y=mx+b
*

Answers

Answer:

y-1=7(x-0)

Step-by-step explanation:

The line perpendicular to y=-1/7+1 is y=7+1 because you find the reciprocal of the slope.

Then find one point on the line since the equation has a y intercept just use (0,1) and put that into point slope

Executives from Six Flags, a well-known amusement park chain, had interest in constructing a Six Flags theme park in a location near Ames city limits. Experts believed that approximately 15% of the surrounding population would be interested in becoming season ticket holders. A random sample of 500 residents of Story County was collected (of the approximately 80,000 residents of Story County). Of the 500 people sampled, 124 said that they would be interested in purchasing season tickets to a Six Flags in Ames. Select the best description of the sample.

Answers

Answer:

Random sample of 500 residents of Story County

Step-by-step explanation:

SAMPLE can be defined as the process in which some group of people are randomly selected from a large population for the sole aim of carrying out statistical analysis that will represent the whole population at large instead of carryingout the SAMPLE on each person.

Therefore based on the information given the best description of the SAMPLE will be the 500 RESIDENT OF STORY COUNTY reason been that we were told that a random SAMPLE of the 500 residents of Story County were collected which in turn represent 80,000 of the residents of Story County at large.

The functions f(x) and g(x) are shown on the graph. f(x) = |x|

what is g(x)

Answers

Answer:

D

Step-by-step explanation:

Answer:

i just took it. its actually g(x)=|x+5|

Step-by-step explanation:

When u get the answer plss explain how u got the answer.

Answers

Answer:

they arrive at the same time

Step-by-step explanation:

the triangle is like the Pythagorean theorm

both the purple lines equal a^2+b^2

and the green line equals c^2

a^2+b^2=c^2

A 12.5-foot ladder is leaning against the side of a house. If the ladder is resting 12 feet off the ground, how far is the ladder from the house?

A. 2 feet

B. 3.5 feet

C. 6.25 feet

D. 7 feet

Answers

Answer:

B. 3.5 feet

Step-by-step explanation:

The part leaning against the wall is the hypotenuse while the height of the ladder off the ground is the opposite and the distance of the ladder from the house is the adjacent side.

Given the following data;

Hypotenuse = 12.5 ft

Opposite = 12 ft

To find the adjacent side, we would use the Pythagorean theorem;

Hypotenuse² = opposite² + adjacent²

Substituting into the formula, we have;

12.5² = 12² + adjacent²

156.25 = 144 + adjacent²

Adjacent² = 156.25 - 144

Adjacent² = 12.25

Taking the square root of both sides, we have;

Adjacent = 3.5 feet.

Therefore, the distance of the ladder from the house is 3.5 feet.

HELP WITH QUESTION 1 PLEASE! I’ll give you brilliance

Answers

Answer:

Step-by-step explanation:

A is 10

B is 13

C is [tex]\sqrt{43.65}[/tex]

D is [tex]\sqrt{74}[/tex]

Go to my question that says “ What’s the area of the triangle??” please help me

Answers

Answer:

Ok I'll help

Step-by-step explanation:

A box with dimensions 1 1⁄4 ft x 2 3⁄4 ft x 3⁄4 ft was being filled with smaller boxes. Each of the smaller boxes are shaped like a cube. The smaller cube shaped boxes have the dimensions 1⁄4 ft x 1⁄4 ft x 1⁄4 ft. How many of the 1⁄4 ft x 1⁄4 ft x 1⁄4 ft cubes can be packed into the larger box?

Answers

Answer: 165 boxes

Step-by-step explanation:

Given

The dimension of the bigger box is  [tex]1\ \frac{1}{4}\times 2\ \frac{3}{4}\times \frac{3}{4}\ ft^3[/tex]

the dimension of the smaller box is  [tex]\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\ ft^3[/tex]

The volume of the large box

[tex]\Rightarrow V_1=\dfrac{5}{4}\times \dfrac{11}{4}\times \dfrac{3}{4}=\dfrac{165}{64}\ ft^3[/tex]

The volume of the small box

[tex]\Rightarrow V_o=\dfrac{1}{4}\times\dfrac{1}{4}\times \dfrac{1}{4}=\dfrac{1}{64}\ ft^3[/tex]

Suppose there are n small boxes

[tex]\Rightarrow n=\dfrac{V_1}{V_o}[/tex]

[tex]\Rightarrow n=\dfrac{\frac{165}{64}}{\frac{1}{64}}=165\ \text{boxes}[/tex]

Addison is shooting a free throw. The initial height of the ball is represented by the____
A. x-intercept
B. y-intercept
C. zeros
D. vertex

Answers

9514 1404 393

Answer:

  B.  y-intercept

Step-by-step explanation:

If we assume that the graph of the free-throw is of height versus time, then the initial height is the y-intercept—when time = 0.

The magnitude of vector a = (5,m) is 13 and the magnitude of vector b = (n, 24) is 25. What are m and n

Answers

Answer:

[tex]m=12\,,n=7[/tex]

Step-by-step explanation:

The magnitude of vector [tex](x,y)[/tex] is given by [tex]\sqrt{x^2+y^2}[/tex]

The magnitude of vector [tex]a=(5,m)[/tex] is [tex]13[/tex].

[tex]\sqrt{5^2+m^2}=13\\5^2+m^2=13^2\\25+m^2=169\\m^2=169-25\\m^2=144\\m=12[/tex]

The magnitude of vector [tex]b=(n,24)[/tex] is [tex]25[/tex].

[tex]\sqrt{n^2+24^2}=25\\n^2+24^2=25^2\\n^2+576=625\\n^2=625-576\\n^2=49\\n=7[/tex]

Therefore,

[tex]m=12\,,n=7[/tex]

How do u submit it
What format?

Which equation represents a line that is perpendicular to the line represented by

4x + y = 7 and passes through the point (1, 8)?

Question 2 options:

y = 14x + 334

y = 4x + 4

y = 14x + 314

y= −4x + 12

Answers

Answer:y= -4x + 12

Step-by-step explanation: i graphed it

linear equations that share the same slope are peroendicular. true or false​

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

:This is FALSE Linear equations that share the same slope are PARALLEL.

:

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I need help finding u if it help x=6 that's all I know

Answers

Answer:

x = 6   y = 5

Step-by-step explanation:

X VALUE

3x+11 = 5x-1

12 = 2x

x= 6

Y VALUE

4y-1 = 19

4y = 20

y = 5

Answer:

5

Step-by-step explanation:

In the equation y=2x+3,y represents the total number of preseason and regular season games that your softball team played this summer. The variable x represents the number of weeks in the regular season. Which statement is true?

Answers

Answer:

C. Your team plays 3 preseason games.

Step-by-step explanation:

In the equation y = 2x + 3, y represents the total number of preseason and regular season games that your softball team played this summer.  The variable x represents the number of weeks in the regular season.  Which statement is true?  

 

A. The regular season lasts 2 weeks.  

B. The preseason lasts 2 weeks.  

C. Your team plays 3 preseason games.  

D. Your team plays 3 regular season games each week.

Solution:

The equation for a linear function is given as:

y = mx + b;

where m is the rate of change and b is the y intercept (that is initial value of y at x = 0), y and x are variables.

Given that y = 2x + 3;

The slope (m) = 2 and the y intercept (b) = 3

This slope means 2 games are played every week during the regular season games. The y intercept means that at before the regular games have start, 3 games have been played. Therefore, the team plays 3 preseason games.

3. Karen is making 14 different kinds
of greeting cards. She is making 12
of each kind. How many greeting
cards is she making?

Answers

It would be 168. Just multiply 14 and 12.

The age of trees in a forest is known to be approximately normal with an average age of 40 years and a standard deviation of 10 years. What is the standardized score for a tree that is 34 years old?

Answers

Answer: D. -0.6

Step-by-step explanation:

Z score formula= x-mean/ SD

34-40/10= -3/5= -0.6

The standardized score for a tree that is 34 years old is -0.6

We have given that,

The age of trees in a forest is approximately normal with an average age of 40 years and a standard deviation of 10 years.

We have to determine what is the standardized score for a tree that is 34 years old

What is the Z-score formula?

Z score formula= x-mean/ SD

We use the given values in the above formula so we get,

Z score =34-40/10

Z score = -3/5

Z score = -0.6

Therefore, The standardized score for a tree that is 34 years old is -0.6

To learn more about the Z score visit:

https://brainly.com/question/25638875

#SPJ2

Angel is making a scale model of his favorite truck. The actual truck is 12 feet long and 4 feet wide. Angel wants his model to be 15 feet in length. What would be the width of his model?

Answers

Answer:

the answer is 5ft wide

Step-by-step explanation:

Hope this helps!

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