The hypotenuse of a right triangle is three times the length of one of its legs. The length of the other leg is four feet. Find the lengths of the three sides of the triangle. For non-integer answer(s), round your answer(s) to the nearest tenth.​

Answers

Answer 1

Hello!

It is given information that this triangle is a right triangle, meaning that the Pythagorean Theorem can apply here.

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

We can set the length of a leg as an unknown variable [tex]x[/tex].

[tex]x^2+4^2=(3x)^2[/tex]

Remember that it is the whole [tex]3x[/tex] term being squared, meaning that it'll simplify to [tex]9x^2[/tex], not [tex]3x^2[/tex].

[tex]x^2+16=9x^2[/tex]

[tex]8x^2=16[/tex]

[tex]x^2=2[/tex]

[tex]x=\sqrt{2}[/tex]

This means we can plug back in to find the sides.

The hypotenuse would be [tex]3\sqrt{2}[/tex], or 4.2.

And the legs would be 1.4 and 4, respectively.

Hope this helps!


Related Questions

What is the intercept of the equation

Answers

Answer is D. -1/2
Just divide 6 by 3 to find the x intercept

Answer:

-2

Step-by-step explanation:

Plug y=0 into the equation and solve the resulting equation 0=3x+6 for x

i’ll give you brainliest if you help me pleasee

Answers

Answer:

2nd im pretty sure hope this helpss :) (:

Step-by-step explanation:

GBC Is answer to the question.

What is the answer please help me no links no links

Answers

I think it’s 32
Hope that helped XD

HELP. NO links. Please help I've been on this for a while

Answers

Answer:61

Step-by-step explanation:

Answer:

[tex]\Huge\boxed{C.61}[/tex]

Step-by-step explanation:

Hello There!

Remember this is the triangle angle rule:

The angles of a triangle MUST have a sum of 180

That being said we can find the missing angle by subtracting the given angles ( 87 and 32 in this case) from 180

so missing angle = 180 - 87 - 32

180 - 87 = 93

93 - 32 = 61

so we can conclude that the answer is c

Pudding has 120 calories in 2 ounces. How many calories are in 8 ounces of the pudding?

Answers

Answer:

272 calories.

Step-by-step explanation:

jus solved it.

Answer:

480

Step-by-step explanation:

Pump B alone fills a tank in 9 hours. Pump C takes 15 hours to fill the same tank alone. If pumps A, B and C are used, the tank fills in 5 hours. How long does it take pump A to fill the the tank alone?

Answers

Answer:

19

Step-by-step explanation:

9+15=24

24-5=

19 is the answer



Which statement below about the quiz scores is true?

Answers

Answer:

need the whole question .....

Step-by-step explanation:

Answer:

The median score is 80 ;)

Step-by-step explanation:

HELP! PLEASE.............

Answers

9514 1404 393

Answer:

  B.  negative trend

Step-by-step explanation:

The sign of the slope of the best-fit line is the sign of the "trend". A line that slopes downward has a negative slope. Such a best-fit line indicates a negative trend.

A Customer Telephone Center receives 1,200 calls in a 24-hour period. Of these calls, 75% occur between 9:30 a.m. and 3:30 p.m., and calls are evenly distributed during this time. If each person handles 10 calls an hour, how many people are needed to handle calls during these hours

Answers

Divide Total time into two Time Periods. A regular Demand and a High Demand Time Period. Since 75% of the 1,200 calls occur between 9:30 am and 3:30 pm. We multiply .75 x 1,200 to get 900. We get an average of 900 calls every day between the hours of 9:30 am and 3:30 pm – Our net time for this time period is 6 hours.

Therefore, 6 Hours/900 becomes our quotient

Again, since the denominator is larger we invert it to 900 calls/6 Hours

To get a demand of 150 calls per hour.

We need to be able to handle 150 calls per hour.

So how Many Call Representatives are needed?

Again, our historical data tells us that each person can handle 10 calls an hour.

Therefore 150 calls per hour /10 Minutes = 15 Customer Service Representatives are needed during Peak Time!

Now, Subtract the Peak Hours from the 21 Hours Net Time Per day, gives us 15 Non-Peak hours we have to staff.

BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS

Answers

Answer:

B = 145°

Explanation:

Sorry but m∠C > 90° how could it be 35° ?

However if you still need an answer:

B = 180 - C

B = 180 - 35

B = 145°

if the given expression is multiplied by 3^6, which expression is not equivalent?

Answers

Answer:

8

Step-by-step explanation:

I can't see the pic.

How many cubes with side length of 1/3 cm does it take to fill the prism?​

Answers

9514 1404 393

Answer:

  120

Step-by-step explanation:

The dimension across the front in terms of cubes is ...

  5/3 cm = 5×(1/3 cm) = 5 cubes

The front-to-back dimension in terms of cubes is ...

  4/3 cm = 4×(1/3 cm) = 4 cubes

The height in terms of cubes is ...

  2 cm = 6×(1/3 cm) = 6 cubes

Then the volume in terms of cubes is ...

  V = LWH = 5×4×6 = 120 cubes

It will take 120 cubes to fill the prism.

How many liters are there in 6 gallons?

Answers

Answer:

6 gallons = 3.785 liters

Answer:

1.5850323141      

Step-by-step explanation:

Gina needs to buy a bathroom mirror that is 3 feet wide and 6 feet long. If the mirror sells for $3.00 per square foot, what will the total cost of the mirror be?

Answers

Answer:

$54

Step-by-step explanation:

beacuse 6x3=18 and 18x3=54 so your answer will be $54

sorry if im wrong mark me brainliest if im right

Which graph represents exponential decay?

On a coordinate plane, a straight line has a negative slope.

On a coordinate plane, a curve approaches y = 0 in quadrant 2 and curves up in quadrant 1.

On a coordinate plane, a straight line has a positive slope.

On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up in quadrant 2.

Answers

The graph which shows the function is exponential decay is on a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up in quadrant 2 thus, option (D) is correct.

What is an exponential function?

In mathematics, an exponential function is a relationship of the type y = ax, where x is an independent variable that spans the entire real number line and is expressed as the exponent of a positive number.

As per the given,

The exponential function is a function that changes rapidly, for example, y = 6^x here as x approaches higher the y approaches rapidly higher.

Exponential decay is the exponential function that rapidly decreases as x increases for example y = 6^(-x).

The graph of the exponential decay has been graphed below.

Hence "The graph which shows the function is exponential decay is on a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up in quadrant 2".

For more about exponential function,

https://brainly.com/question/15352175

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Answer:

D

Step-by-step explanation:

edge

hope this helps :)

What is 46% of 22? Use a fraction and express your answer in simplest form.

Answers

Answer:

10 3/25

Step-by-step explanation:

Nathaniel is using the quadratic formula to solve 0 = x2 + 5x - 6. His steps are shown below/attached
What are solutions to the equations

Answers

Answer:

A

Step-by-step explanation:

Answer:

x= -6 ,1

Step-by-step explanation:

B is the answer

x= -6 ,1

what is the equation that has an x intercept of 4 and yintercept of 2. Show your work please

Answers

Answer:

y = -1/2x + 2

Step-by-step explanation:

If you are talking about a linear equation then b=2

The slope is y2 - y1 / x2 - x1 so 2-0/0-4 = 2/-4 = -1/2

So put it all together in y = mx + b so y = -1/2x + 2

functions A and B are shown in the equation and graph. select the true statement. ​

Answers

It’s A
I have done that befor

PLS ANSWER QUICK, HELP AND EXPLAIN

Answers

Answer:

48 squared inches

Step-by-step explanation:

4x2x6 altogether is 48

Answer:

48 square in.

Step-by-step explanation:

2 × 6 = 12

12 × 4 = 48

so ur answer is 48 square inches

Find the measurement indicated. Round to the nearest tenth.​

Answers

9514 1404 393

Answer:

22.015.030.0°137.0°

Step-by-step explanation:

These are all Law of Cosine problems. A generic expression for the length of side 'c' opposite angle C, which is defined by sides 'a' and 'b' is ...

  c² = a² +b² -2ab·cos(C)

The square root of this gives the side length:

  c = √(a² +b² -2ab·cos(C))

Rearranging the equation, we can obtain an expression for the angle C.

  C = arccos((a² +b² -c²)/(2ab))

These two formulas are used to solve the offered problems.

__

1) AC = √(13² +14² -2·13·14·cos(109°)) ≈ √483.506

  AC ≈ 22.0

__

2) BC = √(7² +10² -2·7·10·cos(123°)) ≈ √225.249

  BC ≈ 15.0

__

3) ∠B = arccos((24² +28² -14²)/(2·24·28)) = arccos(1164/1344)

  ∠B ≈ 30.0°

__

4) ∠B = arccos((6² +9² -14²)/(2·6·9)) = arccos(-79/108)

  ∠B ≈ 137.0°

ZABD and ZDBC are supplementary angles.
What is the measure of x?
x = [?]
DK
X 148°
AR
>C
>C
B
Angles are not drawn to scale.
Enter

Answers

Answer:

Solution given:

x+148=180°[linear pair]

x=180°-148=32°

x=32° is your answer

Step-by-step explanation:

solution :

Given,

X+48 °= 180° [ being linear pair ]

X=180°-48°

X=32°

so,

X=32° answer.

hope it is helpful to you ☺️

Xavier writes a ratio out of 18 as the decimal 0.22222222.

Answers

Answer: 4/18

Step-by-step explanation:

The ratio 4:18 can be written as the decimal 0.22222222, so the value in the numerator is 4.

What is the ratio?

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

We have:

Xavier writes a ratio out of 18 as the decimal 0.22222222.

Let's suppose the x out of 18 can be written as 0.22222222

x/18 = 0.22222222

x = 3.999999 ≈ 4

It means 4/18 can be written as 0.22222222

Thus, the ratio 4:18 can be written as the decimal 0.22222222, so the value in the numerator is 4.

Learn more about the ratio here:

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Can someone help me?

Answers

no i will not help you

Math 3rd grade can someone explain easy for 3rd grade child thanks

Answers

Answer:

A is 16, B just draw a line down from the inside square to make a rectangle, C. just multiply all the numbers around the square

Step-by-step explanation:

<<

Answer:

A) 72 in²

B) From the bottom right corner of the shaded square, draw a line either straight down or to the right.

C) 56 in²

Step-by-step explanation:

A) 8x9=72 in²

B) From the bottom right corner of the shaded square, draw a line either straight down or to the right.

C) The shaded area is 4x4=16, so you need to subtract that from the 72.

72-16=56 in²

Which graph represents function f?
f(x) = (1/3)^x

Answers

Answer:

The second group represents function f.

Step-by-step explanation:

Hope it helps...

Have a great day

A function assigns the value of each element of one set to the other specific element of another set. The correct graph is B.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

A function from a set X to a set Y allocates precisely one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.

The graph that represents the function can be chosen by substituting the values and checking the function.

If the value of x is kept as 0, then the function will be 1. Therefore, the graph will intersect the y-axis of the graph at 1.If the value of x is kept as 1, then the function will be 1/3. Therefore, the value of y is 0.33.

Hence, the correct graph is B.

Learn more about Function here:

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Can someone help me ASAP!!!

Answers

9514 1404 393

Answer:

  f(x) = {-x for x < 2; 2x-3 for x ≥ 2}

Step-by-step explanation:

The blue line extending to the left has a slope of -1 and a y-intercept of 0. Its equation is y = -x. That part of the definition of f(x) is applicable for values of x less than 2. (The open dot at (2, -2) tells you that point is not included.)

The red line extending to the right has a slope = rise/run = 2/1 = 2. The y-intercept can be found by extending the line to the y-axis, or from the computation ...

  b = y -mx

  b = 1 -2(2) = -3 . . . . . for the point (x, y) = (2, 1)

Then the slope-intercept equation for the red line is ...

  y = 2x -3

That part of the definition of f(x) is applicable for values of x ≥ 2. The solid dot tells you the point (2, 1) is included.

Putting these parts together, we get ...

  [tex]f(x)=\left\{\begin{array}{cc}-x&\text{if $x<2$}\\2x-3&\text{if $x\ge2$}\end{array}\right.[/tex]

Solve to find the height of a triangle with the base of 10 feet in the area of 21 feet

Answers

Answer: 4.2

Step-by-step explanation:

hb=2A

b=2·21

10=4.2ft

What value of x makes this equation true?
12x - 15 = 6 - 36

Answers

The answer is 3.75

12x - 15= 6-36
12x= 15+30
X=45/12
X=3.75

12(3.75) - 15 = 6-36
30=30

Which expressions represent the product of a variable and a coefficient?
Choose 3 answers:
11c
1/2 t
5. 10
j. 4

Answers

Answer:

A, B, and D

Step-by-step explanation:

A variable could be represented as a letter.

Coefficient is the number multiplying a variable.

Product means multiplication.

Therefore the expressions that represent the product of a variable and a coefficient are:

11c, ½t, and j*4

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