If the legs of a right triangle are 8 and 10, find the length of the hypotenuse.

Answers

Answer 1

Answer:

Given :-

Two legs of a rt. triangle : 8 and 10 respectively.

To find :-

Length of the hypotenuse

Solution :-

Using Pythagorean Theorem;

(hypotenuse)² = (8)² + (10)²

= 64 + 100

hypotenuse = √164

= 12.8 units

Answer 2

Answer:

12.80

Step-by-step explanation:

We have to use the Pythagoras theorem to find the value of the hypotenuse.

Let the value of the hypotenuse be c.

Let us use the below formula to find the length of the hypotenuse.

a² + b² = c²

First, let us replace a and b with 8 and 10 ( the lengths of the legs of the right triangle) with a and b.

a² + b² = c²

8² + 10² = c²

64 + 100 = c²

And now let us solve the above and find the value of c.

164 = c²

√164 = c

12.80 = c

Therefore, the length of the hypotenuse is:

12.80 units

If The Legs Of A Right Triangle Are 8 And 10, Find The Length Of The Hypotenuse.
If The Legs Of A Right Triangle Are 8 And 10, Find The Length Of The Hypotenuse.

Related Questions

using Factoring:
Set up an algebraic equation:
An integer is 3 less than 5 times another. If the product of the two integers is 36,
then find the integers.

Answers

Answer:

hjjj gogo fgjvsgjgccvvggggggffffffddsddddfffgv

Which number should replace the ç to make the subtraction problem correct?

9.866
- 7.97ç
1.889

Answers

Answer:

7

Step-by-step explanation:

for you to get the missing number just take the complete numbers and minus them then you'll get the incomplete digit needed good day.

11. Calculate the weight on earth of an object with a mass of 48 kg. Gravitational acceleration (a) = 9.81 m/s ² Show all steps and formulae used. (3) ✓ ​

Answers

Answer:

470.88 N

Step-by-step explanation:

F = ma

  48 ( 9.81) = 470.88 N      ( 105.958 lbs)

Select the correct answer. Which set of vertices forms a parallelogram? OA A2,4), B(3, 3), C6, 4), D(5, 6) OB. A(-1, 1), B(2, 2), C(5, 1), D(4, 1) OC. A(-5, -2), B(-3, 3), C3, 5), D(1, 0) OD. A(-1, 2), B(1, 3), C5, 3), D(1, 1).​

Answers

Answer:

(6,4)

Step-by-step explanation:

^^^

I need to make sure I do this right

Answers

D. (x-8)(x+7)
x^2+7x-8x-56

Using the Addition Method, solve for y in the following system of linear equations: 4x – 2y = 6 2x + y = 7

Answers

Answer:

y = 2

Step-by-step explanation:

Addition Method:

4x - 2y = 6

2x + y = 7

-2(2x + y) = -2(7)

4x - 2y = 6

-4x - 2y = -14

-4y = -8

y = 2

Substitution Method:

4x - 2y = 6

2x + y = 7

-2y = 6 - 4x

2y = 4x - 6

y = 2x - 3

2x + (2x - 3) = 7

4x - 3 = 7

4x = 10

x = 2.5

2(2.5) + y = 7

5 + y = 7

y = 2

Brainliest, please :)

If a household is saving 30% of their total bi-weekly gross pay of $2,051.00, determine how many months it will take to save a 20% down payment and 1.5% for closing costs for a property with a purchase price of $281,700.00.
45

46

54

55

(25 POINTS)

Answers

Based on the amount saved per week and the down payment of the property, the number of months it will take to save the amount is 46 months.

How long will it take for the family to save the amount?

First, find out the amount saved per month:

= (30% x 2,051) x 2 payments a month

= $1,230.60

The downpayment is:

= 281,700 x 20%

= $56,340

The closing cost is:

= 1.15 x 56,230

= $843.45

The number of months till the amount is saved is:

= (56,340 + 843.45) / 1,230.60

= 46 months

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Find the value of the function f(x) = x2 + 9x + 10, for x = -1.

Answers

Answer:

this is pretty easy we just replace the x with -1 so

(-1)^2+(-1)9+10

-1*-1=1

-1*9=-9

1+-9=-8

-8+10=2

f(-1)=2

Hope This Helps!!!

[PLEASE HELP!!!!!!!!!]
Identify which equations have one solution, Infinitely many solutions, or no solution.
y+3.2y=20 +2z-1=42+2-2z|
4.5r=3.2+4.5r 21+4=3x+2
No Solution
One Solution
Infinitely Many Solutions
3z +2.5=3.2+3z
1.1+0+2=3.1+

Answers

The list of equations is shown in the picture which equation has No Solution, One Solution, and Infinitely Many Solutions.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have given a linear equation in one variable.

[tex]\rm \dfrac{1}{2}y + 3.2y = 20[/tex]

After solving:

y = 5.40   (one solution)

[tex]\rm \dfrac{15}{2}+ 2z -\dfrac{1}{4}=4z+\dfrac{29}{4} -2z[/tex]

After solving:

[tex]\rm \dfrac{15}{2} -\dfrac{1}{4}=\dfrac{29}{4}[/tex]

[tex]\rm \dfrac{29}{4}=\dfrac{29}{4}[/tex] (Infinitely Many Solutions)

3z + 2.5 = 3.2 + 3z

2.5 = 3.2  (no solution)

Similarly, we can identify which equation has No Solution, One Solution, and Infinitely Many Solutions.

Thus, the list of equations is shown in the picture which equation has No Solution, One Solution, and Infinitely Many Solutions.

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What is the vertex of the quadratic function given in the table?

Answers

Answer:

The vertex is (-3,-2)

The vertex is basically the very top or very lowest, so you will notice how values around (-3,-2) are relatively the same in the y coordinate, but -2 is the "highest/lowest" so that's how you know it's a vertex.

If you try picturing the points in your head, you will see it make a U and at the bottom of the U is the vertex.

The function forms a parabola which has an axis of symmetry through the vertex.
The y values are symmetric either side of x = -3 so the vertex is at (-3, -2)
This is enough information to identify the function is y =(x + 3)^2 - 2

Pam asks you to help with the catering for the funeral. You decide to use juice concentrate to serve as a refreshing drink. To create this delicious drink, you must dilute the concentrate in the ratio 1:4. You have 2 litres of concentrate. What is the volume of water needed?​

Answers

Answer is 8 liters
Reason
1 to 4 is the same as 2 to 8
So 2 concentrate to 8 water

write in slope intercept form

2y+x=1

Answers

Answer:

y = -x/2 + 1/2 or

y = -1/2 x + 1/2

(these are equivalent)

Step-by-step explanation:

Slope-intercept form is:

y = mx + b

So we have to get the y all by itself on the left.

2y + x = 1

Subtract x from both sides.

2y = 1 - x

Divide both sides by 2. Divide all the terms by 2.

2y/2 = 1/2 - x/2

Simplify.

y = 1/2 - x/2

Rearrange the terms on the right side so that the x term is first and the constant is last.

y = -x/2 + 1/2

I think this is a good, reasonable and correct answer. But maybe you really want to see that m number (the slope) out in front of the x. Then you can write is as:

y = -1/2 x + 1/2

Answer: y = -1/2x + 1/2

Step-by-Step Solution:

Slope Intercept Form :-
• y = mx + b

Therefore,
2y + x = 1
2y = 1 - x
y = 1/2 - x/2 (We know, a - b = -b + a)
y = -x/2 + 1/2
=> y = -1/2x + 1/2

Solve the following systems using the elimination method. -3x+4y=-8 and 3x+ y=-17

Answers

Answer:

(-4, -5)

Step-by-step explanation:

-3x + 4y = -8

+

3x + y = -17

= 5y = -25 = y = -5

-3x + 4(-5) = -8

-3x - 20 = -8

-3x = 12

x = -4

92÷9−5=913 find value of p

Answers

Answer:

which p? there isn't any p in above equation

A community center has an L-shaped swimming pool that is 10 feet deep. What is the volume of the pool?

Answers

The total volume of the pool is 1040 cubic ft. The correct answer is option B.

The complete question is given below:-

The community centre has an L-shaped swimming pool that is 10 feet deep. What is the volume of the pool

1200

1040

640

880

What is volume?

Volume is defined as the space covered by any solid body in the three-dimensional plane.

We know that the total volume of the pool is the sum of the volume of two rectangular prisms.

One is a rectangular prism with dimensions 20ft.×10ft.×4ft.

and the other rectangular prism has dimensions: 6ft.×4ft.×10ft.

Hence, the volume of a first rectangular prism is:

20×10×4=800 cubic ft.                      

The volume of a second rectangular prism is:

6×4×10=240 cubic ft.                    

Hence, the total volume of the pool is:

800+240=1040 cubic ft.                

Therefore the total volume of the pool is 1040 cubic ft. The correct answer is option B.

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SHL T Teleperformance
each interaction matters
Choose the correct option.
You arrived at your office at 9:35 AM. You left your office at 6:05 PM. How many hours did
spend in the office?

Answers

Answer:

8 hours 30 minutes

Step-by-step explanation:

6:05 pm - 9:35 am =

= 18:05 - 9:35

= 17:65 - 9:35

= 8:30

Answer:

Citcitdutditdutdtuditditdtiditf this is what is adjective 6hftuiouhvcutxyrzyt

Step-by-step explanation:

huuugggguytzurzt8st8s8ts9td96097g79t8dtrudutfitf8tfitftid8tdtdtudutd

Which of the following statements is true?

Answers

Answer:

Last choice, [tex]\sqrt{15}[/tex] is irrational and [tex]\sqrt{0.001}[/tex] is rational

Step-by-step explanation:

Rational Numbers: Any number that can be written as a ratio (or fraction) of two integers, ex. 0.4

Irrational Numbers: A type of real number which cannot be represented as a simple fraction (non ending decimal), ex. 0.4161446

[tex]\sqrt{15} = 3.8729[/tex] making it irrational

First and third choice are INCORRECT as they state its rational

[tex]\sqrt{0.001} = 1/1000[/tex] making it rational

Second choice is INCORRECT as they state its irrational

Hence, the last choice is correct

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A clothing manufacturer produces one type of sweater that earns $4 profit for each one sold. The business manager requires that a profit of at least $100 be earned every hour. The product manager estimates that the expenses for running the machine are $45 per hour. What is the least number of sweaters that must be produced each hour to earn a profit of at least $100?

Answers

The least number of sweaters that must be produced each hour to earn a profit of at least $100 is 37.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have:

A clothing manufacturer produces one type of sweater that earns $4 profit for each one sold.

Let x be the number of sweaters that must be produced each hour to earn a profit of at least $100

Total selling price if earns $4 profit for each one sold = 4x

The expenses for running the machine are $45 per hour.

4x - 45 ≤ 100

4x ≤ 145

x ≤ 145/4

x ≤ 36.25

Number of sweater(estimate value) = 37

Thus, the least number of sweaters that must be produced each hour to earn a profit of at least $100 is 37.

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In the figure shown below, AC is parallel to DE with transversal BF

Determine the values of x and y

PLEASE SHOW WORK FOR THIS!


x=_______
y=_______

Answers

Answer:

X = 142°Y = 38°

Given - AC is parallel to DE

angle 3y + 28 = angle X ( Vertically opposite angles are equal).

3y + 28 = X

X + Y = 180° ( supplementary angles).

3y - X = (-28)

Solving both the equation we get

multiply eq 1 with 3

3x + 3y = 540

-X + 3y = (-28)

subtracting

4x = 568

x = 142°

3y + 28 = 142

3y = 142 - 28

3y = 114

y = 38°

9 out of 10 students prefer maths class over lunch how many students do not prefer math if 200 students were asked?​

Answers

Answer: 180

Step-by-step explanation: 200 % 2 = 100

9/10 = 90/100

90 * 2 = 180

Answer:

20 students

If 9 out of 10 student prefer math over lunch, then 1 out of ten DO NOT. With this information you can set up a simple proportion: [tex]\frac{1}{10} =\frac{x}{200}[/tex].

To solve for x, you cross multiply as follows:

1*200=10x

200=10x

20=x

Hence, x equals 20, and 20 students do not prefer math over lunch.

Hope I helped!!!!!!!!!!!!!:)

radical 5* radical 2

Answers

Answer:

[tex] \sqrt{10} [/tex]

Step-by-step explanation:

Rule: [tex] \sqrt{a} \times \sqrt{b} = \sqrt{ab} [/tex]

[tex] \sqrt{5} \times \sqrt{2} = \sqrt{5 \times 2} = \sqrt{10} [/tex]

Which of the numbers below are whole numbers? Check all that apply.
A. 734.895
B. 0.7538
C. 7
D. 5429.97
E. 616
F. 401119.8

Answers

Answer:

7, 616 because there is no floating point

A merchant has 120 liters of oil of one kind, 180 liters of another kind, and 240
liters of the third kind. He wants to sell the oil by filling the three kinds of equal
capacity. What should be the greatest capacity of such a tin?

Answers

The merchant needs to fill 60 litres of all types of oils .

What is HCF ?

HCF is the highest common factor, it is the factor in common in more than two numbers.

It is given in the question that

A merchant has 120 litres of oil of one kind, 180 litres of another kind, and 240 litres of the third kind.

He wants to sell the oil by filling the three kinds of equal capacity.

To find the greatest capacity of such a tin , we have to find the highest common factor of the individual capacity.

120=2×2×2×3×5

180=2×2×3×3×5

240=2×2×2×2×3×5

HCF=2×2×3×5=60

The greatest capacity = 60 litres

So the merchant needs to fill 60 litres of all types of oils .

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Which standard form of the equation of the hyperbola has vertices at (0, 5) and (0, –5), and asymptotes y equals plus or minus five twelfths times x question mark

y squared over 25 minus x squared over 144 equals 1
y squared over 144 minus x squared over 25 equals 1
x squared over 25 minus y squared over 144 equals 1
x squared over 144 minus y squared over 25 equals 1

Answers

The equation first represents the hyperbola has vertices at (0, 5) and (0, –5), and asymptotes y = ±(5/12)x option first is correct.

What is hyperbola?

It's a two-dimensional geometry curve with two components that are both symmetric. In other words, the number of points in two-dimensional geometry that have a constant difference between them and two fixed points in the plane can be defined.

We have:

Vertices of the hyperbola = (0, 5) and (0, -5)

Asymptotes: y = ±(5/12)x

The equations we have:

[tex]\rm \dfrac{y^{2}}{25}-\dfrac{x^{2}}{144}=1[/tex]

[tex]\rm \dfrac{y^{2}}{144}-\dfrac{x^{2}}{25}=1[/tex]

[tex]\rm \dfrac{x^{2}}{25}-\dfrac{y^{2}}{144}=1[/tex]

[tex]\rm \dfrac{y^{2}}{144}-\dfrac{x^{2}}{25}=1[/tex]

From the equation first:

[tex]\rm \dfrac{y^{2}}{25}-\dfrac{x^{2}}{144}=1[/tex]

The value of a and b are:

a = 12

b = 5

Vertices of the hyperbola = (0, b) and (0, -b)

Vertices of the hyperbola = (0, 5) and (0, -5)

Asymptotes: y = ±(b/a)x

Asymptotes: y = ±(5/12)x

Thus, the equation first represents the hyperbola has vertices at (0, 5) and (0, –5), and asymptotes y = ±(5/12)x option first is correct.

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Answer:

A

Step-by-step explanation:

How do you round 56.053 to the nearest whole number

Answers

Answer:

56

Step-by-step explanation:

all your doing is removing the .053 to get your whole number

The graphs of f(x) = 5x and its translation, g(x), are shown on the graph.

On a coordinate plane, 2 exponential functions are shown. f (x) approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 1) and goes through (1, 5) and (2, 25). g (x) approaches y = negative 10 in quadrant 2 and increases into quadrant 1. It goes through (0, negative 9), (1, negative 5), (2, 15).

What is the equation of g(x)?

g(x) = 5x – 9
g(x) = 5x – 10
g(x) = 5x – 9
g(x) = 5x – 10

Answers

According to the function transformations, the equation of function g(x) is [tex]g(x) = 5^x - 10[/tex]

How to determine the equation of g(x)?

The complete question is in the attachment

The function f(x) is given as:

[tex]f(x) = 5^x[/tex]

From the attached graph, we can see that the function f(x) is 10 units down to get g(x).

This is so because the y values of g(x) are 10 less than the corresponding y values of f(x)

This transformation is represented by:

(x, y) => (x, y - 10)

So, we have:

g(x) = f(x) - 10

Substitute [tex]f(x) = 5^x[/tex]

[tex]g(x) = 5^x - 10[/tex]

Hence, the equation of function g(x) is [tex]g(x) = 5^x - 10[/tex]

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which expression is equivalent to....​

Answers

Answer:

A^32

Step-by-step explanation:

Done

Answer:

Option D:  a³²

Step-by-step explanation:

Powers in this case multiply, 8*4=32

therefore answer D a³² is correct

If f(x)= 3x +2 and g(x)=x^2+1, which expression is expression is equivalent to (fog) (x)

Answers

Composite Functions

Composite functions occur when we take two functions and input one into the other as x.

Example:

[tex]f(x) = 2x[/tex]

[tex]g(x) = 3x^2[/tex]

[tex](f\circ g)(x)=f(g(x))[/tex]

[tex](f\circ g)(x) = 2(3x^2)[/tex]

Solving the Question

We're given:

[tex]f(x)= 3x +2[/tex][tex]g(x)=x^2+1[/tex]

To find [tex](f\circ g)(x)[/tex], input g into f as x:

[tex]f(x)= 3x +2[/tex]

[tex](f\circ g)(x)=3(x^2+1) +2\\(f\circ g)(x)=3x^2+3 +2\\(f\circ g)(x)=3x^2+5[/tex]

Answer

[tex](f\circ g)(x)=3x^2+5[/tex]

Find the distance between the points (-4, 2) and (2, -1).

Give an exact answer in simplest radical form. Do not round.

Answers

Answer:

[tex]3 \sqrt{5} [/tex]

Step-by-step explanation:

[tex] \sqrt{ {( - 4 - 2)}^{2} + {(2 - ( - 1))}^{2} } = \sqrt{45} = 3 \sqrt{5} [/tex]

2. Find the LCM of the following numbers by division method. (a) 16 and 28 (b) 36 and 44 (c) 45 and 120 (d) 10, 15 and 30 (e) 52 and 128 (f) 20, 60 and 80​

Answers

Answer

(a):112

(b):396

(c):360

(d):30

(e):1664

(f):240

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