For the values a = 8 which is a leg of a right triangle, and value c = 19, which is the hypotenuse, find the length of the other leg, b, to the nearest tenth.
A. 17.7
B. 20.6
C. 17.2
D. 20.3

Answers

Answer 1
Hey!

We will have to use the Pythagorean Theorem to solve this. Since we are not looking for the hypotenuse, but rather the length of one of the legs, we will have to use this,
[tex]b^2=c^2-a^2[/tex]
Let's plug in the values,
[tex]b^2=19^2-8^2[/tex]
Simplify,
[tex]b^2=297[/tex]
Since we know that the opposite of a square is the square root, we are going to apply it.
[tex] \sqrt{b^2} = \sqrt{297} [/tex]
This tells us that the length of the missing leg would be,
b ≈ 17.2336879396
If we round it to the nearest tenth, our answer would be,
b ≈ 17.2 (answer choice C)

Thanks!
-TetraFish


Related Questions

kelvin to fahrenheit f= 9/5(k-273.15) +32

Answers

The answer is in the image

HELP If f(x)=2x-12, then f^-1(x)=?

Answers

The inverse of f(x) is f^-1(x) is (x+12)/2

Please help ill give brainiest to who helps

Joey intends to roll a six-sided number cube 100 times. What probability model can he use to predict whether or not each roll will give a result that is divisible by 3? A. Each roll has a 0.117 probability of being divisible by 3. B. Each roll has a 0.333 probability of being divisible by 3. C. Each roll has a 0.5 probability of being divisible by 3. D. Each roll has a 0.667 probability of being divisible by 3.

Answers

there are 2 numbers that could be divisible by 3, either 3 or 6

 so there is a 2/6 probability

2/6 = 0.333

 so the answer is B

A video game club charges a fixed annual membership fee of $20 and $2 per video game rented. Let f(n) represent the total annual cost of renting n video games. Which of the following functions best represents the relationship between f(n) and n if the membership was increased by $15 the next year?
f(n) = 2n + 35
f(n) = 20n + 2
f(n) = 10n + 35
f(n) = 2n + 10

Answers

fixed annual membership fee of $20
$2 per video game rented.
Let f(n) represent the total annual cost of renting n video games
so
f(n) = 20 + 2n

if increased by $15 the next year
then
f(n) = 20 + 2n + 15
f(n) = 2n + 35

answer
f(n) = 2n + 35 (first choice)

Answer:

The correct answer is A, "f(n) = 2n + 35."

Step-by-step explanation:

I got it correct on the test. I hope this helps!

Which of these is not an example of a geometric shape or form?

Answers

what are the opptions?? 

can someone please help

Answers

I'm guessing 58.726, I did the Math a while ago.

WILL GIVE BRAINLIEST!!!

Which of the following equations represents an inverse variation?

A.
6y = x
B.
1/2y = 1/x
C.
–x = y + 8
D.
y = 1/4x

Answers

An equation typically used to represent inverse variation is y = k/x, where k is the "constant of proportionality for inverse variation."

6y = x does not represent inverse variation, since y increases when x increases or x increases when y increases. This is an example of direct proportion and is thus not an answer.


1/2y = 1/x should be written as (1/2)y = 1/x, to emphasize that (1/2) is a coefficient of y. Let's solve for y to see what form the resulting equation has:

(1/2)y = 1/x => y = 2/x. This has the form y = k/x, and thus represents inverse variation. y decreases when x increases.


–x = y + 8 is a linear equation and thus could not possibly represent inverse proportion. The "offset," +8, also makes it impossible for –x = y + 8 to represent direct variation. Reject this answer choice.


y = 1/4x has the form y = (1/4)x, which resembles a rule for direct variation.

Note, however, that if you really meant y = 1 / (4x), or y = (1/4)(1/x), then this would be a case of inverse variation.


The only answer choice in this problem that clearly represents indirect variation is (1/2)y = 1/x (as I have already said, above).

Answer:5

Step-by-step explanation:

1/2y=1/x

y=2/x

Determine the solution set of x^2-80=0.

Answers

x^2 - 80 = 0
x^2 = 80 ...take the square root of both sides, eliminating the ^2
x = (+-) sqrt 80
x = (+-) sqrt 16 * 5
x = (+-) 4 sqrt 5

so x = 4 sqrt 5 or x = -4 sqrt 5

Answer:  The required solution set of the given equation is [tex]\{4\sqrt5,-4\sqrt5\}.[/tex]

Step-by-step explanation:  We are given to determine the solution set of the following quadratic equation :

[tex]x^2-80=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

Since the given equation does not contain the term involving x, so we will use the method of square root to solve the given equation.

The solution of equation (i) is as follows :

[tex]x^2-80=0\\\\\Rightarrow x^2=80\\\\\Rightarrow x=\pm\sqrt{80}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{taking square root on both sides}]\\\\\Rightarrow x=\pm\sqrt{16\times5}\\\\\Rightarrow x=\pm4\sqrt5.[/tex]

Thus, the required solution set of the given equation is [tex]\{4\sqrt5,-4\sqrt5\}.[/tex]

A monomial term has the form ax^n where the coefficient is a and the degree is

Answers

The degree is the little number above the x so in this case it would be n.
The answer is "n" ; which is the "exponent value" in the term, "axⁿ " .
________________________________________________________

Doug entered a canoe race. he rowed 3 1/2 miles in 1/2 hours what is his average speed in miles per hour

Answers

3.5miles/.5hours
7miles/1hour
7mph



.

The ages of 3 brothers are consecutive even integers. Three times the age of the youngest brother exceeds the oldest brother's age by 48 years. What is the age of the younger brother?
A. 14
B. 18
C. 22
D. 26

Answers

n, n+2, n+4

3n=n+4+48

3n=n+52

2n=52

n=26

So the youngest brother is 26 years old.

What is the value of X in the isosceles trapezoid below?
A. 81 B. 15 C. 11 D. 41

Answers

The correct answer is:  [C]:  " x = 11 " .
______________________________________
9x + (4x + 37) = 180 ;

9x + 4x + 37 = 180 ;

13x + 37 = 180 ;

Subtract "37" from each side of the equation;

13x + 37 - 37 = 180 - 37 ;

to get:

   13x = 143 ;

Divide each side of the equation by "13" ;
 to isolate "x" on one side of the equation ; and to solve for "x" ;
______________________________________________________
    13x / 13 = 143 / 13 ;

          x = 11 ;  which is:  Answer choice:  [C] .
______________________________________________________
Final answer:

Without additional details, this question can't be answered accurately. Typically, one uses properties of an isosceles trapezoid, such as base angles or diagonal lengths, to find unknown variables. More information would allow a more precise answer.

Explanation:

Without a visual or additional information about the isosceles trapezoid, it would be challenging to accurately identify the value of X. However, typically in a problem like this, you would use the properties of an isosceles trapezoid, such as its base angles or the lengths of its diagonals, to find the value of an unknown variable. If given the measures of the other sides, it might be possible to calculate the remaining length. An example would be a problem like this: If the bases of an isosceles trapezoid are 10 and 20 units long, respectively, and the non-parallel sides (legs) are equal and represented by X, then based on specific conditions, X could potentially be calculated.

Learn more about Isosceles Trapezoid here:

https://brainly.com/question/2516570

#SPJ5

find a1 for the geometric series with r=3 and s6=364

Answers

hello here is a solution : 

What is the slope of a line that is perpendicular to the line y= -1/2x +5?

A(-2

B(- 1/2

C( 1/2

D( 2

Answers

The answer is:

B. -1/2

Explanation:
The equation is in y= mx + b form, which means that m= slope and b= y-intercept. You can see that the slope is -1/2.


Answer both please !

Answers

36) the equation would be: 44 x 0.63 =


37) 6.1% = 0.061

59150 x 0.061 = 3608.15 increase

The cycling tour has 340 bottles of water for each week. There are ten people on the tour. How many bottles of water is that for each person per week?

Answers

34 is how many water bottles each person gets per week

One angle in a pair of complementary angles is 4/5th of the other . Find the measure of the two angles

Answers

complementary angles equal 90 degrees

angle 1 = x

 angle 2 = 4/5x

 x + 4/5x = 90

9/5x = 90

x = 90 / 9/5 = 50

angle 1 = 50 degrees

 angle 2 = 4/5 x 50 = 40 degrees

Put these substances in order of density with the most dense first and the least dense last.

air
pumpkin pie
whipped cream
steel

Answers

Steel, Pumpkin Pie, Whipped Cream, Air

Answer: Hello there!

We know that:

[tex]density = \frac{mass}{volume}[/tex]

This means that two of two objects whit the same size ( volume) the heaviest one is the more dense object.

The 4 that we have here are:

Air, Pumpkin pie, Whipped cream, and Steel

It is easy to assume that the steel is the more dense object.

The pumpkin pie comes second

third is the whipped cream, which is cream with a lot of tiny air bubbles inside

the less dense object is the air.

then the order is:

Steel, pumpkin pie, whipped cream, air.

A function is given. f(x) = 5x − 7; x = 2, x = 3 (a) determine the net change between the given values of the variable.

Answers

There is one more value of x between 2 and 3, multiplied by 5, so 5 is the net change between the two variables.

Find the length and width of the rectangle if the length is 12 units more then the width and the perimeter is 7 times the width

Answers

L = W + 12
P = 7W = 2L + 2W
7W = 2W + 24 + 2W
3W = 24
W = 8
L = 20


I NEED HELP ASAP! PLS HELP ME!

Answers

The correct answer is C. y=2.11x because if you multiply all of the x-values by 2.11, you get the y-value.

2.11*7 = 14.77

2.11*9 = 18.99


 the answer is y=2.11x


Part A: Amir rented a scooter at $43 for 3 hours. If he rents the same scooter for 8 hours, he has to pay a total rent of $113. Write an equation in the standard form to represent the total rent (y) that Amir has to pay for renting the scooter for x hours. (4 points)

Part B: Write the equation obtained in Part A using function notation. (2 points)

Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)

Answers

Part A: Amir rented a scooter at $43 for 3 hours. If he rents the same scooter for 8 hours, he has to pay a total rent of $113. Write an equation in the standard form to represent the total rent (y) that Amir has to pay for renting the scooter for x hours. (4 points)

time          rent
hours          $

3                 43
8               113

Assume a linear relation, this is r(t)= Ax + C

=> [r - 43] / [ x - 3] = [113 - 43] / 8 - 3]

=> [r - 43] / [x - 3] = 70 / 5

=> [r - 43] / [x - 3] = 14

=> r - 43 = 14 [x - 3]

=> r - 43 = 14x - 14*3

=> r - 43 = 14x - 42

=> r - 14x - 1 = 0   <----- standard form



Part B: Write the equation obtained in Part A using function notation. (2 points)

r - 14x - 1 = 0  => r(x) = 14x + 1  <------------- function notation, r(x)

Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)

1) Horizontal axis = x

2) Vertical axis = y

3) Domain x > 0 = [0, ∞)

4) Range r > 0 = [0, ∞)

5) r-intercept=> x = 0 => r = 14(0) + 1 = 1 => (0,1)

6) slope: 14

7) x-intercept => r = 0 => 0 = 14x + 1 => x = -1/14 => (-1/14, 0)


What are the vertical and horizontal asymptotes for the function f(x)= x^2+x-6/x^3-1?

Answers

The horizontal asymptotes will occur when x approaches ±oo

The easy way to see this is to divide all terms by the highest order variable...

(x^2/x^3 +x/x^3-6/x^3)/(x^3/x^3-1/x^3) and all of that mess boils down to

0/1 or just 0 as x approaches ±oo

So the horizontal asymptote is the horizontal line y=0

The vertical asymptote will occur when there is division by zero, which is undefined because it is not a real value.

x^3-1=0

(x-1)(x^2+x+1)=0

So this only occurs as x approaches -1, so the vertical asymptote is the vertical line x=-1.

Answer:

Hence, x=1 is the vertical asymptote

Hence, y=0 is the horizontal asymptote

Step-by-step explanation:

We have been given an expression

[tex]\frac{x^2+x-6}{x^3-1}[/tex]

For vertical asymptote  we equate the denominator to zero that means

[tex]x^3-1=0[/tex]

[tex]\Rightarrow x^3=1[/tex]

[tex]\Rightarrow x=1[/tex]

Hence, x=1 is the vertical asymptote.

Now, for horizontal asymptote we compare the degree of numerator and denominator

Here degree of numerator is 2 and degree of denominator is 3

When degree of denominator is greater than degree of numerator y=0 is the horizontal asymptote

Hence, y=0 is the horizontal asymptote.

help
The coordinate grid shows the graph of four equations:

A coordinate grid is shown from negative 12 to positive 12 on the x axis and also on the y axis. Line A passes through the ordered pairs negative 3, 4 and 9, negative 2. Line B passes through the ordered pairs 2, 8 and 8, negative 8. Line C passes through the ordered pairs negative 3, negative 4 and 4, 6. Line D passes through the points 2, negative 2 and 5 and 6.

Which set of equations has (5, 0) as its solution?

A and B
C and D
B and D
A and D

Answers

When you graph the following lines, the set of equations that has (5, 0) as its solution are lines A and B. You can see that both lines passes though the coordinate (5,0). Another way of determining if the given coordinate is a solution to the equation to to establish an equation using these points. In here, i will use the point - slope form.
for line A, we have (-3,4) and (9, -2)
y - y1 = m(x - x1)
y - 4 = (-2 - 4/9 -(-3))(x - (-3))
y - 4 = -(1/2)(x+3)
2y - 8 = -x - 3
2y = -x + 5

substitute (5,0)
2(0) = -5 + 5
0 = 0

How many ways can a librarian arrange 15 books on a top shelf if she has 20 books from which to pick?

Answers

[tex]20\cdot19\cdot\ldots\cdot7\cdot6=20,274,183,401,472,000 [/tex]

Answer: 20!/5!

Step-by-step explanation:

Segment RT is a mid-segment of triangle CDE. What is the length of segment CE?
A) 38 in.
B) 32 in.
C) 24 in.
D) 9.5 in.

Answers

Segment RT is a mid-segment of triangle CDE
so CE = 2(RT) = 2(19) = 38

answer
A. 38

A convex polyhedron has 30 edges and 8 fewer vertices than faces. How many faces does the polyhedron have? Euler’s formula: V + F = E + 2 12 18 20 24

Answers

Answer:

C or 20

Step-by-step explanation:

Just got the answer on Edge :)

Answer:

c

Step-by-step explanation:

You invest $300 in an account that has an interest rate of 1.3%, compounded monthly. How much money is in the account after 20 years? Round your answer to the nearest whole number.

Answers

The formula is
A=p (1+r/k)^kt
A future value?
P present value 300
R interest rate 0.013
k compounded monthly 12
T time 20 years
A=300×(1+0.013÷12)^(12×20)
A=389.02

Answer:

$389

Step-by-step explanation:

The formula for final value of compound interest is given by

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Here, we have

P = $300

r = 0.013

t = 20 years

n = 12

Substituting these values and find A

[tex]A=300(1+\frac{0.013}{12})^{12\cdot20}\\\\A\approx389[/tex]

Therefore, in 20 years, the account will have $389.

what are the domain and range for each of the following functions? write your answer using inequality symbols of possible PLEASE HELP :) ( on both graphs)

Answers

The graph of a function, given in a coordinate axis, is (the set of) all the points (x, y) which appear on the coordinate axis.

The Domain is the set of all first coordinates, the x'es.
The Range is the set of all the second coordinates, the y's.

1.

We can see the points (-2, 0), (-1, 1) and (2, -1)

Domain={-2, -1, 2}    Range={-1, 0, 1}

2. 

We see that x can be any value such that -1<x≤1

and y can be any value such that -1≤y<2

so

Domain: x, such that -1<x≤1 

Range: y, such that -1≤y<2

You're setting sales goals for next month. You base your goals on previous average sales. The actual sales for the same month for the last four years have been 24 units, 30 units, 23 units, and 27 units. What is the average number of units you can expect to sell next month?

A. 26
B. 28
C. 30
D. 104

Answers

To find the average, you need to add up all the values and dived by 4

24+30+23+27  = 104
104/4 = 26
A is correct
The correct answer will be A

24 + 30 + 23 + 27 = 104

104/4 = 26
Other Questions
Which musician wrote the song "the times they are a changin" which became an anthem of the 1960s counterculture movement write the advantages and disadvantages of hormone-based contraceptive methods such as birth control pills, implants, and a patch. 21/99 simplified in fraction the lengths of the sides of a triangle are three consecutive odd integers. The perimeter of the triangle is 45in. What is the length of the shortest side of the triangle? .A scientist conducts an experiment to test the effects of light on earthworm activity. Which is a variable in this experiment? Please Help! Math Question!Variable g is 8 more than variable w. Variable g is also 4 less than w. Which pair of equations best models the relationship between g and w?A) g = w 8g = w + 4B) w = 8gw = g 4C) g = w + 8g = w 4D) w = 8gw = g + 4 what were the factors that led to the hiroshima bombings Given the formula m1v1=m2v2, where m indicates concentration and v indicates volume, which equation represents the correct way to find the concentration of the dilute solution (m2)? All of the following were true about the Farmers' Alliance EXCEPT:A.It was mainly a political organization.B.It negotiated lower prices for farm equipment.C.It built cooperative storage facilities and mills.D.It wanted to ease the burdens of farmers. Simplify this expression Which details does Dr. King use to support his main idea in letter from Birmingham City Jail A woman has been instructed by her physician to take vitamin e to assist in decreasing symptoms of fibrocystic breast disease. what substance is required for digestion and absorption of vitamin e? The revenue in dollars of a company that produces jeans can be modlelded by 2x^2+17x-175 the cost In dollars of producing the jeans can be modeled by 2x^2-3x-125 the number of jeans that have been sold is represented by x the profit is the difference between revenue and cost 20x-50 if 75 pairs of jeans are sold what's the company's profit Most countries in the african transition zone have a ____ population in the north and a _____ population in the south Six nickel is what Percent of a dollar A student solved a system of equations by elimination. The answer is not correct. Describe the error made in the part of the solution shown. factor out the polynomial: 12x^2+26x+12 what is the human body response to starvation when a person is dieting or ill? Which safety issue is considered to be a data safety issue? PLEASE HELP!!! I WILL RATE BRAINLIEST TO THE FASTEST AND CORRECT ANSWER!!! Steam Workshop Downloader