A=27 inches and b=36 inches what is the length of the hypotenuse

Answers

Answer 1

Answer:

Hypotenuse = 45 inches

Step-by-step explanation:

Let the hypotenuse be known as "C".

Definition of hypotenuse:

The hypotenuse is the longest side in a right triangle.

Since the word "hypotenuse" is stated in the question, we can assume that the triangle is a right triangle and therefore, Pythogoras theorem can be used to determine the measure of the hypotenuse.

Pythogoras theorem

x² = y² + z²

[Where "x" is the hypotenuse, "y" and "z" are the legs of the right triangle].

We are given that:

Leg A = y = 27 inchesLeg B = z = 36 inchesHypotenuse = x = C inches

When the meausures are substituted in the formula, we get;

⇒ (C)² = (27)² + (36)²

Evaluate the squares on the right hand side:

⇒ (C)² = (27)² + (36)²⇒ (C)² = 729 + 1296

Simplify the expression on the right hand side:

⇒ (C)² = 729 + 1296⇒ (C)² = 2025

Take square root both sides of the equation:

⇒ √(C)² = √2025⇒ C = 45 inches

Therefore, the measure of the hypotenuse is 45 inches.

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Related Questions

Bradford Electric Illuminating Company is studying the relationship between kilowatt-hours (thousands) used and the number of rooms in a private single-family residence. A random sample of 10 homes yielded the following. Number of Kilowatt-Hours Number of Kilowatt-Hours Rooms (thousands) Rooms (thousands) 12 9 8 6 9 7 10 8 14 10 10 10 6 5 5 4 10 8 7 7 a. Determine the regression equation. B. Determine the number of kilowatt-hours, in thousands, for a six-room house

Answers

For the regression equation and e the number of kilowatt-hours, in thousands, for a six-room house  is mathematically given as

Y = 1.33-0.667X and  5.3332

What is the number of kilowatt-hours, in thousands, for a six-room house?

Generally, the equation for the  standard deviation  is mathematically given as

[tex]s[/tex]ₓ =[tex]\sqrt{\frac{\sum\(X-\=X)^2}{n-1} }[/tex]

= [tex]\sqrt{\frac{66.9}{10-1} }[/tex]

= 2.72

[tex]s_y[/tex] = [tex]\sqrt{\frac{36.4}{10-1} }[/tex]

= 2.01

therefore correlation coff

r = [tex]\frac{44.6}{(10-1)(2.72)(2.01)}[/tex]

r = 0.9038

In conclusion the regression equation is given

b = r_sy/sx

b = (0.9038)(2.01/2.72)

 = 0.667

intercept

a = 7.4-0.667(9.1)

a = 1.33

The regression equation is

Y = 1.33-0.667X

(b) number of kilowatts x = 6 house

Y = 1.33-0.667X

Y = 1.33-0.667(6)

 = 5.3332

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What is 14 inches rounded to the nearest inch?

Answers

Answer:

6 inches

Step-by-step explanation:

1 inch = 2.54 cm.

 1 cm = 1/2.54 inches.

14 cm = 14/2.54

14 cm, when rounded to nearest inch, results in around 6 inches.

NAME:
6. This equation is the conversion formula to change the units for measuring
temperature from degrees Fahrenheit to degrees Celsius.
C = (F-32)
Which expression best describes the variables C and E?
A C varies inversely to F
B. C is dependent on F.
Fis dependent on C.
D. Fvaries inversely to C.
7. At a farmer's market, strawberries are priced at 4pounds for $8.

Answers

My thinks are b

I might be wrong because I haven’t learned this but I just did it

what point can be used to create a right triangle the āb as its hypotenuse

Answers

Do you really feel fly in true religion

6. A festival is renting out booths to vendors for $55 for one day. There are 65 vendors and the festival occurs on Friday, Saturday, and Sunday. If the vendors participate on all the days, how much money will be collected by the festival from the vendors?

Answers

Answer: $10,725

Step-by-step explanation:

    First, we'll find the money for all the vendors on one day.

         65 * $55 = $3,575

   Next, Friday [1], Saturday [2], and Sunday [3] is three (3) days. We will multiply $3,575 by 3.

         $3,575 * 3 = $10,725

$10,725 will be collected from by the festival from the vendors.

Question 2 of 10
A payroll register lists the total current period earnings as $23,400. It lists the total withholdings and deductions as $6,350. What does the journal entry to record payroll expenses list as the debits and credits for Salaries and Wages Expense and Salaries and Wages Payable?

A.
​Salaries and Wages Expense: $23,400 credit; Salaries and Wages Payable: $17,050 debit

B.
​Salaries and Wages Expense: $23,400 debit; Salaries and Wages Payable: $6,350 credit

C.
Salaries and Wages Expense: $23,400 debit; Salaries and Wages Payable: $17,050 credit

D.
​Salaries and Wages Expense: $23,400 credit; Salaries and Wages Payable: $6,350 debit

Answers

The journal entry to record payroll expenses is ​Salaries and Wages Expense: $23,400 debit; Salaries and Wages Payable: $6,350 credit.

What is the journal entry?

In order to record the salaries and wages, the journal entry is to debit the Salaries and Wages Expense account. This is because money is leaving the company account.

The total deductions represent future payments. Thus it would be credited to the Salaries and Wages Payable account.

To learn more about payroll accounting, please check: https://brainly.com/question/24127660

Answer: C. Salaries and Wages Expense: $23,400 debit; Salaries and Wages Payable: $17,050

Step-by-step explanation:

formula for percent increase

Answers

Answer:

% Increase = Increase / Original Number × 100.

Step-by-step explanation:

Answer:

final value - original value / original value × 100

What is the measure of angle 5 if the measure of angle 2 is 45° and the measurement of angle 3 is 60°.

Answers

Answer:

cant see the photo? but answer is 15

Step-by-step explanation:

Please help me answer question one. I have a lot of work geometry work that I need done.

Answers

Looks pretty hard. Because it’s a graphing one

Given the following data points, calculate the curve of best fit. Show all steps.

Answers

The equation of curve of best fit is y = -30.17x + 14.49. To find the curve of best fit, we would require two equations which are explained in details below.

Equation of Straight Line

Data;

∑x = 16∑y = 50.9∑x^2 = 35∑xy = 24.6

The equation of straight line is y = ax + b

If we modify it to fit into this problem,

[tex]\sum y = na + b \sum X ... equ(i)\\\sum xy = a \sum x + b \sum x^2 ...equ(ii)[/tex]

Let's substitute the values into the equations and solve

[tex]\sum y = na + b \sum X ... equ(i)\\\sum xy = a \sum x + b \sum x^2 ...equ(ii)\\50.9 = 6*a + b*16 ...equ(i)\\24.6 = a*16 + b*35 ...equ(ii)\\50.9 = 6a + 16b ...equ(i)\\24.6 = 16a + 35b ...equ(ii)[/tex]

Let's solve both equation (i) and equation (ii)

[tex]50.9 = 6a + 16b...equ(i)\\24.6 = 16a + 35b ...equ(ii)\\a = -30.17, b = 14.49[/tex]

We can substitute the values of a and b into the equation

[tex]y = ax + b\\y = -30.17x + 14.49[/tex]

The equation of curve of best fit is y = -30.17x + 14.49

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Determine a series of transformations that would map polygon ABCDE onto polygon A'B'C'D'E'?

Answers

Answer:

Dilate by a scale factor of 0.5 with the origin as the center of dilation.

Rotate 90° clockwise about the origin

Step-by-step explanation:

Polygon ABCD:

A = (-2, 4)B = (-8, 2)C = (-4, 8)D = (-2, 6)

Dilate by a scale factor of 0.5 with the origin as the center of dilation (pink polygon on attached diagram).

This means multiply the x and y values of the points by 0.5:

A → (-1, 2)

B → (-4, 1)

C → (-2, 4)

D → (-1, 3)

Rotate 90° clockwise about the origin: (x, y) → (-y, x)

A' = (-2, 1)

B' = (-1, 4)

C' = (-4, 2)

D' = (-3, 1)

So the transformations are:

Dilate by a scale factor of 0.5 with the origin as the center of dilation.Rotate 90° clockwise about the origin.

scientists measure a bacteria sample in a petri dish

Answers

Answer:

to grow bacterial cultures

GEOMETRY QUESTIONS PLEASE HELP

What is the measure of /A?
Quadrilateral ABCD is inscribed in a circle.
What is the measure of angle A?

Answers

Answer:

135 degree is the measure of angle A

solve.
p/4 + 8 = 7

p= what?

Answers

Answer:

[tex]\huge\boxed{\bf\: p = -4}[/tex]

Step-by-step explanation:

p/4 + 8 = 7

Bring 8 to the left side of the equation.

p/4 = 7 - 8

p/4 = - 1

Bring 4 to the other side.

p = - 1 * 4

p = - 4

[tex]\rule{150pt}{2pt}[/tex]

Answer:

[tex]\boxed{\sf{p=-4}}[/tex]

Step-by-step explanation:

To find the value of p, isolate it on one side of the equation.

p/4+8=7

First, you have to subtract by 8 from both sides.

p/4+8-8=7-8

Solve.

p/4=-1

Then, you multiply by 4 from both sides.

4p/4=4(-1)

Solve.

Multiply the numbers from left to right.

4(-1)=-4

[tex]\Longrightarrow: \boxed{\sf{p=-4}}[/tex]

Therefore, the final answer is p=-4.

I hope this helps! Let me know if you have any questions.

Solve the system of equations by elimination:
2 - 5y = 1
2x + 5y = 17

Answers

Answer:

X = 8 And y = 1/5

Step-by-step explanation:

add equaction i and education ii,

2 -5y = 1

2x +5y = 17

------------------

2+2x = 18

or, 2x = 18 - 2

or X = 16/2

or X = 8

Again from equation i,

2 - 5y = 1

or, -5y = 1 - 2

or, -5y = -1

or, y = -1/-5 (cut the subtraction sign)

or, y = 1/5

5. Do 4 x (1 + 3%) and 4 x (1 + 3)' have the same answer? Explain.

Answers

Answer:

no. so the first answer I got was 4.12 and the other 16

Step-by-step explanation:

4×(1+3%)

3%=0.03

0.03+1= 1.03

1.03*4= 4.12

4*(1+3)

1+3=4

4*4=16

I hope that helps you

A group of 12 friends bought a boat costing $5,424. Each of the friends paid an equal share of the cost. How much did each person pay?

Answers

Answer:

452

Step-by-step explanation:

5424/12 is equal to 452

Each person pay $452.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

A group of 12 friends bought a boat costing $5,424.

Now,

Since. A group of 12 friends bought a boat costing $5,424.

Hence, The cost of each person pay = $5,424 / 12

                                                         = $452

Thus, Each person pay $452.

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#SPJ2

value of YZC in the follow​

Answers

Answer:

URMMM WHERE IS THE DIAGRAM...

Restaurants often slip takeout menus under Eli's apartment door. So far, Eli has collected 28 menus, including 7 for Italian food. Considering this data, how many of the next 24 menus slipped under Eli's door should you expect to be from Italian restaurants?

Answers

Answer:

6

Step-by-step explanation:

1st You have to find what percent is 7 for 28. (25%)

2nd You have to use that 25% in the 24. You have to find what is 25% of 24 (6)

There is your answer

Have a good day!

what is negative 2 - 2/3?

Answers

Answer:

-2.66666666667

or just

-2.67

Step-by-step explanation:

What is the perimeter of a 5 by 12 triangle?

Answers

Answer:

The perimeter of the triangle is 30 units.

Step-by-step explanation:

So

[tex]x^2[/tex]= [tex]5^2\\[/tex]+[tex]12^2[/tex]

[tex]x^2[/tex]= 25+144

[tex]x^2[/tex]=169

[tex]x^2\\[/tex]=[tex]\sqrt 169[/tex]

[tex]x[/tex]=13

The greatest side / hypotenuse of the triangle = 13

The perimeter of a triangle = Sum of all sides

5+12+13

30 units

Sphere B is the image of sphere A after dilation by a scale factor of 44. If the surface area of sphere B is 432 km^2, find the surface area of sphere A, the preimage.

Answers

Answer:

27 km²

Step-by-step explanation:

[tex]SA=4\pi Jr^2[/tex]

  [tex]4\pi r^2_B=432[/tex]

      [tex]r^2_B=\frac{108}{\pi}[/tex]

      [tex]r_B=\frac{6\sqrt3}{\sqrt{50}}[/tex]

[tex]r_A=\frac{r_B}{4}=\frac{3\sqrt3}{2\sqrt\pi}[/tex]

[tex]S_0SA=4\pi Y\begin{matrix}2\\A\\\end{matrix}[/tex]

         [tex]=4\pi\bullet\frac{27}{4\pi}[/tex]

         [tex]=27\ km[/tex]

   [tex]Y_B:Y_A=4=1[/tex]

  [tex]SA_B:SA_A=16:1[/tex]

                 [tex]432\div 16=27\ km^2[/tex]

                          [tex]simple\ relation.[/tex]

I hope this helps you

:)

Pls explain how u got ur answer need asapp

Answers

Answer:

39,492...

Step-by-step explanation:

Wouldn't the minimum yearly budget of City B just be the sum of all the monthly expenses multiplied by 12?

39492 that is the answer

Simple explanation:bla bla bla

Please help me with this quick!

Answers

Answer:

y = -4x+7 is the equation simplified and answer choice A is the right answer.

Step-by-step explanation:

Your equation: y - 6 = -4(x+1)

Your Objective: You need to simplify the original equation and find another equation that is equivalent to the original equation.


Let's focus on the -4(x+1) side first.

This needs to have the distributive property applied.

Take -4 and multiply it by x and 1.

You should have -4x+1

Your equation now:

y - 6 = -4x+1

We want y to be by itself.

So add 6 to both sides.

y = -4x+1+6


Use PEMDAS

y = -4x+7


The first answer choice "A" is correct.

What is the value of the expression 13x−34 when x=14?

Answers

Answer:

your answer will be 13×14-34

Answer:

148

Solution:First, plug in the value of x:13(14)-34Now, multiply 13 times 14:182-34Now, subtract:148

Hope it helps.

Do comment if you have any query.

3x + 3y = 18
5x + 3y = 28

Answers

Answer:

(5, 1 )

Step-by-step explanation:

3x + 3y = 18 → (1)

5x + 3y = 28 → (2)

subtract (1) from (2) term by term to eliminate y

(5x - 3x) + (3y - 3y) = 28 - 18

2x + 0 = 10

2x = 10 ( divide both sides by 2 )

x = 5

substitute x = 5 into either of the 2 equations and solve for y

substituting into (1)

3(5) + 3y = 18

15 + 3y = 18 ( subtract 15 from both sides )

3y = 3 ( divide both sides by 3 )

y = 1

solution is (5, 1 )

[tex]x=6-y[/tex]

[tex]x=\frac{28-3y}{5}[/tex]

What is the difference between a positive and negative correlation???
SHORT ANSWER

Answers

Answer:

For example, when two stocks move in the same direction, the correlation coefficient is positive. Conversely, when two stocks move in opposite directions, the correlation coefficient is negative. -- Credit Investopedia

Step-by-step explanation:

Can you answer them for me in a simple way so I can finish learning for my test who ever does it I appreciate there hard work ?
Thank you

Answers

Answer:

13:192 in2

Step-by-step explanation

with the pythagoras theorem you can find the base =6

base x height /2= area =24

two triangles=24.2 =48

square one side =12

area=12.12=144

area of the shape = 144+48=192

Using the pythagorean theorem, we can calculate the base of the right triangle to be 6 (1 triangle)

-> The triangle's base length is 12.

So, the square's length is also 12.

We can now calculate the area of the figure : 12 x 12 + 12 x 8 : 2 = 192 in2

In general, what does it mean for a transformation to be a rigid motion? Explain.​

Answers

Answer:

A rigid motion is when an object is moved from one location to another and the size and shape of the object have not changed. Two figures are congruent if and only if there exists a rigid motion that sets up a correspondence of one figure as the image of the other.

Hope u like it

8 packets of candy costs rs 340? What is the cost of 15 packets of candy?

Answers

Answer:

637.5 or 637.50

Step-by-step explanation:

Other Questions
HELP PLSLake Erie is one of the Great Lakes of the United States. It is also the shallowest and warmest of the five lakes. The drainage basin thatsurrounds Lake Erle contains urban areas, as well as agricultural and industrial areas. Because of the amount of nutrients, primarilyphosphates, being transported into Lake Erie from surrounding areas, Lake Erle experienced cultural eutrophication. The surface of the lake developed large blooms of algae, which blocked out the sunlight to the depths of the lake and caused the lake to become anoxic. In 1972, the Great Lakes Water Quality Agreement was signed between the United States and Canada to reduce phosphate pollution. This wasthe beginning of the recovery of Lake Erie. Phosphate-containing detergents have been eliminated from surrounding areas and native species have returned, but the lake is still subjected to pollution, including sewage, which results in beach closures, and invasive species, which drive out native species and change the biome. 1. Identify the source of pollution in Lake Erle. Was it a point source or non-point source of pollution? Explain your reasoning. 2. Describe two human activities that have impacted the health of Lake Erle. 3. Organophosphates are a common endocrine disruptor in many pesticides today and part of agricultural runoff. Describe theeffects an endocrine disruptor could have on human populations surrounding Lake Erle. 4. Explain the environmental effects the excessive use of detergents had on Lake Erle. 5. The Clean Water Act and subsequent legislation mandated that Industries stop dumping wastes directly into bodies of water bybuilding sewage treatment facilities to clean sewage water before it discharged into lakes and rivers. An average wastewater reclamation plant treats 55 million gallons a day. Calculate the amount of pollution-free water it could release into Lake Erle in ayear. What is the most likely purpose of this excerpt based on the language that is used? a) to inform the reader about the need for teachers b) to share a reflective story from the writer's life c) to convincingly argue for increased teacher salaries d) to encourage college students to become english teachers In the past, waste from mining was I will mark brainliest the first person to answer my question please help me find the formula of this table graph thingyI NEED THE FORMULA, Y=??????the topic Is graph and direct propotion btw Calculate the Kelvin and Fahrenheit temperature equivalent to 37 Celsius. Giving solver brainliest! how do I find x? pls asap After Justinian, the empire declined. Who finally took over the former Byzantine empire? What is the significance of "American Progress"? (1 point)It tells about one of the Revolutionary War heroes.o It demonstrates some people's desire for the United States to move west.It was meant as an insult to the colonists.O It is often sung at patriotic events. Which information is presented only in Lean, Green, Eco-machines? A grocer sold 39 melons for $1.56 each. What was the total amount of the sale? Visual angle is a measure of the A. size an object takes up on the retina. B. actual size of an object. C. object's contrast divided by its spatial frequency. D. angle between the observer and an object. E. perceived size of an object. Missouri Compromise Graphic OrganizerWhat is slaveryWhere did most slaves work The french taxonomist who, in 1809, was the first scientist to suggest that organisms that use one part of their body repeatedly would increase their ability was hellp please,................................................................. An automobile traveled 320 miles in 6 hours. What is its average speed? One key difference between an oligopoly market and a competitive market is that oligopolistic firms. A ramp has to be constructedfor a new public building. Theramp should have an incline ofexactly 15. The building islocated 45 feet from the road.What is the length of the rampto the nearest tenth of a foot? The murphys gross annual family income is $120,500. mr. murphy referred to the graph shown below and calculated that his family will spend $28,920 on taxes this year. what is wrong with mr. murphys calculation? a circle graph titled murphy's annual expenses. federal taxes, 24 percent; state/local taxes, 10 percent; housing and household, 27 percent; food, 7 percent; medical care, 5 percent; transportation, 9 percent; recreation, 4 percent; clothing, 5 percent; other, 9 percent. a. he has calculated only federal taxes. b. he has calculated only state taxes. c. he does not need to include federal taxes. d. he does not need to include state taxes.