10 mi
6 mi
b
What is the length of the missing leg?
b
miles

10 Mi6 MibWhat Is The Length Of The Missing Leg?bmiles

Answers

Answer 1

Answer:

The length of the missing leg:

b = 8 miles

Step-by-step explanation:

Given

c = 10 mia = 6 mi

To determine:

The length of the leg b = ?

For a right-angled triangle, with sides a and b the hypotenuse c is defined as:

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

We can find the length of the leg b using the formula

[tex]b=\sqrt{c^2-a^2}[/tex]

substituting c = 10 and b = 6 in the formula

[tex]b=\sqrt{10^2-6^2}[/tex]

[tex]b=\sqrt{100-36}[/tex]

[tex]b=\sqrt{64}[/tex]

[tex]b=\sqrt{8^2}[/tex]

[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a[/tex]

[tex]b=8[/tex] mi

Therefore, the length of the missing leg:

b = 8 miles

Related Questions

f(x)=3x-5 please help :>

Answers

Answer:

x= 5/3?????

Step-by-step explanation:

try using math

way

(x+y)^4 I am trying to simplify this problem and am kinda confused by it​

Answers

Answer:

This is already as simple as it will get.  You could expand it though.  In that case you'd get:

(x + y)⁴

= (x² + 2xy + y²)²

= x⁴ + 2x³y + x²y² + 2x³y + 4x²y² + 2xy³ + x²y² + 2xy³ + y⁴

=  x⁴ + 4x³y + 6x²y² +4xy³ + y⁴

But this doesn't simplify at all.

what is a fraction
what is a half
what is 0.5​

Answers

Answer:

1.what is fraction?

A.a numerical quantity that is not a whole number (e.g. 1/2, 0.5).

2.what is a half?

A.either of two equal or corresponding parts into which something is or can be divided.

"two and a half years"

3.what is 0.5?

A. 0.5=½

Put simply, a fraction is a numerical quantity that is not a whole number.

For example: 1/4 is literally interpreted as 1 divided by 4, or 1 ÷ 4.

A half is just a number that is equal 0.5 which is equal to 1/2

Sub to oTechz :)

Determine if the following expressions are equivalent. If so, by what property are they equivalent.

3(x-2) and 3x - 6

A. yes, by associative property
B. yes, by commutative property
C. yes, by distributive property
D. no, the expressions aren't equivalent.

Answers

Answer:

C. Yes, by distributive property

Step-by-step explanation:

Distributive property states that 3 can be distributed to all of the terms inside of the parentheses, namely x and -2. 3x + 3(-2) = 3x-6

PLEASE HELP THE ANSWER HAS TO BE A INTEGER OR A DECIMAL.

Answers

Answer:

It's the same as the last one. The answer is -2.3

Step-by-step explanation:


HELP PLS!! I need help for question 10, answers a, b, and c! (Everything is in the picture)

Answers

Answer:

A. The line on the left

B.not sure

C. 20 dollars

Step-by-step explanation:

A school has 158 computers. They want each of the 6 grades to have the same number of computers should each grade receive. Explain.

Answers

Answer:

there is no way to divide it evenly

Step-by-step explanation:

Can someone plz help me. There is an equation and the cost too.

Answers

Answer:

C = 40p

Cost for 15 people: 600 dollars

Step-by-step explanation:

The amusement park charges $40 per person.

That can be represented as 40 × P or 40P.

C is equal to the cost of admission for P people.

So, C = 40P

C = 40P

C = 40(15)

C = 600

The cost of admission for 15 people is 600 dollars.

Hope that helps.

Domain and Range for the function f(x)=5IXI is

Answers

Answer:

The domain of the function f(x) is:

[tex]\mathrm{Domain\:of\:}\:5\left|x\right|\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

The range of the function f(x) is:

[tex]\mathrm{Range\:of\:}5\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}[/tex]

Step-by-step explanation:

Given the function

[tex]f\left(x\right)=5\left|x\right|[/tex]

Determining the domain:

We know that the domain of the function is the set of input or arguments for which the function is real and defined.  

In other words,  

Domain refers to all the possible sets of input values on the x-axis.

It is clear that the function has undefined points nor domain constraints.

Thus, the domain of the function f(x) is:

[tex]\mathrm{Domain\:of\:}\:5\left|x\right|\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

Determining the range:

We also know that range is the set of values of the dependent variable for which a function is defined.  

In other words,  

Range refers to all the possible sets of output values on the y-axis.

We know that the range of an Absolute function is of the form

[tex]c|ax+b|+k\:\mathrm{is}\:\:f\left(x\right)\ge \:k[/tex]

[tex]k=0[/tex]

so

Thus, the range of the function f(x) is:

[tex]\mathrm{Range\:of\:}5\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}[/tex]

Find the equation of the exponential function represented by the table
below:
2
y
0
1
1
2
2
4
3
8.

Answers

9514 1404 393

Answer:

  y = 2^x

Step-by-step explanation:

The x-values are sequential integers, which helps the discovery of the function. The y-values have a common ratio of 2 = 2/1 = 4/2 = 8/4. This is the base for the exponential function.

The initial value of y=1 at x=0 tells you the multiplier of the exponential factor is 1, and the exponent is x (with no additions or subtractions). Your function is ...

  y = 2^x

A function h(x) is defined by the equation h(x) = sqrt x-2 + 3. Which is the graph of h(x)?

Answers

ExplanationGiven Equation

[tex]h(x) = \sqrt{x - 2} + 3[/tex]

Transformation

A constant inside the square root will make the graph shift either left to right, depending on the number. From the equation. The graph shifts to right two units.

A constant outside the square root will make the graph shift up or down, depending the value. From the equation, the graph shifts up 3 units.

AnswerSecond Image, the first one where x = 2 and y = 3.

Answer:

Step-by-step explanation:

second graph

I need help and for the other select it’s are or are not

Answers

Answer:

Step-by-step explanation:

It's clear from the graph that the angles of the given triangles are different.

And for similarity of two triangles, at least two angles of the triangles should be congruent.

Therefore, both the triangles are not similar.

The angles are DIFFERENT.Since similarity transformations preserve angle measures, ΔUVW and ΔGHI ARE NOT similar.

MARKING BRAINLIST!!! In a couplet one statement is _____ and one is ______
A. Agreeing and rejecting
B. Deciding and Acting
C. Informing and Agreeing

Answers

Deciding and Acting.

A couplet can have an open sentence which is the deciding and the closing sentence being the acting.

Find the compound interest of $9080 for
[tex]2 \frac{1}{2} [/tex]
years at 5% per annum​

Answers

Answer:

I have made it in above picture

At which root does the graph of f(x) = (x - 5)3(x + 2)2 touch the x-axis?
-5
-2
2
О
5

Answers

Answer: It should be -2 and 5

Step-by-step explanation:

2 1
3 4
- 그
Is this addition or division

Answers

The answer is to this problem is 4/12

Please help me i struggle lots on this topic

Answers

Answer:

slope = 0

Step-by-step explanation:

remember slope is just rise (change in y) over run (change in x) and since there's no change it has a zero slope, which applies to any horizontal line parallel to the x axis

(this is just me trying to explain slopes, separate from the question you put) if the right most point was 1 higher (5,7) instead of (5,6) then the slope would be 1/2 because to get from (5,7) to (3,6) you move up 1 and over 2

Help what’s the answer?

Answers

Answer:

what are you ment to do...............

A candy company puts 4 gumdrops each bag. how many gumdrops will the company need to fill 3,873?

Answers

Answer:

15,492 gumdrops

Step-by-step explanation:

If the company needs 3,873 bags of candy and each bag has 4 pieces of candy it them, then multiply the amount of bags they need and the amount in each bag and you will get how many they need in total.

What is the image point of (-7,7) after a translation right 1 unit and down 3 units?

Answers

Answer:

(-6,4)

Step-by-step explanation:

-7-(-1)=-6

7-3=4

Need help asap please

Answers

Answer:

Multiply four on both sides

Step-by-step explanation:

;)

A multiple choice quiz has two questions , each with five answer choices. Only one choice is correct. Find the probability of answering two questions correctly,
. Show work

Answers

Answer:

1/25 to get both correct

Step-by-step explanation:

So the probability of getting one choice correct is 1/5

Since 5 choices 1 is correct

now we have to get 2 in a row correct so

1/5*1/5=1/25

anyone wanna have a conversation

Answers

Answer:

sure

Step-by-step explanation:

Answer:

hii

Step-by-step explanation:

Maria can paint an area of 100 square feet in one-third of an hour. At this rate, how
many square feet can she paint in one minute?

Answers

Answer:

A.    5 square feet per minute

Step-by-step explanation:

Answer:

The answer is 5 square feet per minute.

Step-by-step explanation:

Since 1/3 of an hour is 20 minutes, it will look like 100 square feet/20 min.

To make 20 minutes into one minute, we have to divide it by 20.

Because we did it to the denominator, we also have to do the same thing to the numerator.

Divided 100 by 20, which gives you 5.

Hope this helps!!

Which expression is a factor of both x^2-9 and x^2+8x+15

Answers

Step-by-step explanation:

x^2-9=0x^2+8x+15=0

(x+5)(x+3)=0

x+5=0 or x+3=0

x=-5or x=-3

x=-5 in x^2-9=0

(-5)^2-9=0

10-9=0

1=0

x=-3 in x^2-9=0

(-3)^2-9=0

9-9=0

0=0

Analyze the drawing.The beam in the mobile is balanced.The cups on the right and left are equal,which means the the items can be removed and mobile still balances.This leaves 4 circles on the left,a cup and 1 circle on the right.Now the circle on the right cancels out the circle on the left,leaving three circles on the right.The logical conclusion is that the cup is equal to 3 circles

Answers

Answer:

See the attached

Step-by-step explanation:

Solution is given on the picture

Solve by elimination.
2x + 8y = 60
5x + 4y = –10

Answers

Answer:

2x + 8y = 60= 30

5x + 4y = –10= -2

Step-by-step explanation:

Simplifying

2x + -8y = 60

Solving

2x + -8y = 60

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '8y' to each side of the equation.

2x + -8y + 8y = 60 + 8y

Combine like terms: -8y + 8y = 0

2x + 0 = 60 + 8y

2x = 60 + 8y

Divide each side by '2'.

x = 30 + 4y

Simplifying

x = 30 + 4y

Ms. Lim asked her class to find an expression equivalent to 7 - 3 (4 - 2x) - 10x .

whats wrong with these problems? please include your work.

Answers

Answer:

Solving [tex]7-3(4-2x)-10x[/tex] we get [tex]-4x-5[/tex]

Step-by-step explanation:

Jon solved:

7-3(4-2x)-10x

4(4-2x)-10x

16-8x-10x

16-18x

Error in John Work

The error in John work is that he subtracted 7-3 first, which is wrong. According to the rule, first brackets are solved, then multiplication or division and then addition or subtraction is performed.

Madison Solved:

7-3(4-2x)-10x

7-3(2x)-10x

7-6x-10x

7-16x

Error in Madison Work

The error in Madison work is that she subtracted (4-2x) and get 2x which is wrong. Only like terms are added or subtracted. 4 and -2x are not like terms so, we can't subtract them

Selina Solved:

7-3(4-2x)-10x

7-12-2x-10x

-7-12x

Error in Selina Work

The error in Selina work is that she wrongly multiplied -3 with -2x

-3(-2x) we get 6x but Selina found it to be -2x which is wrong.

My solution:

Now, we will solve the equation correctly

[tex]7-3(4-2x)-10x[/tex]

First, multiply -3 with terms inside the bracket

[tex]7-12+6x-10x[/tex]

Now, combine like terms

[tex]7-12+6x-10x\\-5-4x[/tex]

or we can write -4x-5

So, solving [tex]7-3(4-2x)-10x[/tex] we get [tex]-4x-5[/tex]

How many 1/ 4-inch cubes does it take to fill a box with width 2 1/ 4 inches, length 2 1/ 2 inches, and height 1 3/ 4 inches?

Answers

Answer:

630.

Step-by-step explanation:

Given the following data;

Dimensions for cube = ¼ inches

[tex] Volume \; of \; cube = \frac {1}{4} * \frac {1}{4} * \frac {1}{4} [/tex]

Volume = 1/64 cubic inches.

For rectangular box;

Length = 2½ = 5/2 inches.

Width = 2¼ = 9/4 inches.

Height = 1¾ = 7/4 inches.

[tex] Volume \; of \; cube = \frac {5}{2} * \frac {9}{4} * \frac {7}{4} [/tex]  

Volume = 315/32 inches

Therefore, to find the amount of cubes;

[tex] Number \; of \; cubes = \frac {Volume \; of \; box}{Volume \; of \; cube} [/tex]

Substituting into the equation, we have;

[tex] Number \; of \; cubes = \frac {\frac {315}{32}} {\frac {1}{64}} [/tex]

[tex] Number \; of \; cubes = \frac {315}{32} * 64 [/tex]

[tex] Number \; of \; cubes = 315 * 2 [/tex]

Number of cubes = 630

What is the value of 3-(-2)?
———+
-5 -4 -3 -2 -1 0 1 2 3 4 5
0 -5
—1
О -1
оооо

Answers

Answer:

5

Step-by-step explanation:

Remember that you are adding an already known negative number since there are two negative signs next to them.  Your answer should be 5.

Answer:

5

Step-by-step explanation:

3-(-2)

-1 × -2

= 2

= 3+2

=5

Other Questions
Hurry please! Thank you I really appreciate it :) 2. A killer whale's family group, which often includes its and female siblings,its mom'sand brothers, and its grandmother is called a pod.its mom, The Best Government for Nucountrywould be: find the equation of the the line -1/4 that passed through the point (12,-4). Find the simple interest paid on a deposit of $225 at a rate of 1.5% over 2 years. The area of Triangle B is 8 square units. Find the length of B. Show your reasoning. How would you describe the rhyme scheme of the stanzas in the poem "Sympathy"? What words are emphasized through Dunbar's use of alliteration? What is the effect of each sound device?- HELP Who won the war on the Eastern Front? *Allied ForcesCentral PowersRussiaTurkey help me out please. what is 5 9/10 ? Can anyone solve this? And Id appreciate if you explain how to do it. why do snowball and napoleon disagree so often?(animal farm chapter 5) Hope Y'all Have Had A Great Day!! - Jules!! Can some one solve 4 for me plz Ill give a crown The distance from Earth to the sun is 1.5*10^8 miles. The distance from Neptune to the sun is 5.196*10^9. How many times further is it from Neptune to the sun Draw an area model to solve 774 divided by 3 Tabitha has a DVD rack which can hold 42 DVDS. She can fit 8 more DVDS on the rack before the rack is full. How many DVDS are on the rack? Fill in the blank: Est-ce que tu blank attention quand le prof parle? A faisB faisons C faites D font The equation of line t is y = -2x + 9. Perpendicular to line t is line u, which passes throughthe point (-10, 4). What is the equation of line u?Write the equation in slope-intercept form. Write the numbers in the equation as properfractions, improper fractions, or integers. "Explain how freedoms for African Americans were socially, politically, andeconomically limited from 1865 to 1900?" What is a path through which electric current can flow through a wire