A right triangle has leg lengths of 3.4 cm and 6.7 cm. Which answer below shows the length of the triangle’s hypotenuse rounded to the nearest tenth?
A. 8.5 cm
B. 7.5 cm
C. 5.5 cm
D. none of the above

Answers

Answer 1

Answer:

D

Step-by-step explanation:

The hypotenuse squared is equal to the sum of the legs squared in a right triangle.

∴ c² = a² + b² (Pythagorean’s Theorem)

c² = 3.4² + 6.7² (substitute the given values for a & b)

c² = 11.56 + 44.89 (square both right hand terms)

c² = 56.45 (add the right hand side values)

c = √56.45 (square root of both sides)

c ≈ 7.5 to the nearest tenth QED


Related Questions

10(x – 9) > -270
How do I do this ?

Answers

Answer:

x > -18

Step-by-step explanation:

10 ( x - 9 ) > -270

Treat the inequality like an equation,

Distribute first:

10 ( x - 9 ) > - 270

10x - 90 > -270

Inverse operations:

10x - 90 > -270

      +90    +90

10x > -180

/10     /10

x > -18

whats
4+4 i need help. its really hard

Answers

4+4 is 8 lol thanks for the answer

Answer:

The answer for 4+4 is 8

Step-by-step explanation:

can u mark brainliest please

PLEASE HELP, GEOMETRY, TRYING TO GET MY GPA UP, WILL MARK BRAINLIEST (two people have to comment before I can mark brainliest)

Answers

Answer:

Step-by-step explanation:

1) If I'm reading it correctly, the two angles are vertically opposite. <4 = 72

2) <3 + <5 are supplementary (the add to 180) <5 = 180 - 134 = 46

3) <2 = 99 then <3 is 99 and < 6 = 99 (alternate interior angles)

<7 = <6

<7 = 99

Same side interior angles are supplementary.

It's a quiz.

a computer backs up 324 megabytes of data in 5 minutes. WRITE AN EQUATION that represents the number of megabytes, m, that can be backed up in (t) minutes.

Answers

Answer:

64.8 x t = m

Step-by-step explanation:

324 / 5 = 64.8       :64.8 megabytes are produced every 1 minute

64.8 x t = m  

The answer is 64.8xt

5(4x – 1.5x) + 12 = 4x – 2

Answers

Answer:

x=2

Step-by-step explanation:

Answer:

x=−1.64705882

Good luck!!!

what is 3/4 of 36 cupcakes

Answers

Answer:

27

Step-by-step explanation:

Answer:

27 cupcakes

Step-by-step explanation:

36 divided by 4 is 9, 9 times 3 is 27

Find the product using distributive property 563x67

Answers

(563)(60+7)
(60×563)+(7×563)=37,721

Which one of these relationships is different than the other three? Explain how you know.


Answers

Answer:

I does not say.

Step-by-step explanation:

help please i need this​

Answers

Answer:

It is Answer B

Step-by-step explanation:

Hope this helped


Solve the system of equations below.
2x - y = 26
3x - 2y = 42

Here are the answer choices

A. (8,1)
B. (3,2)
C. (10,-6)

Answers

It’s would have to be b.

what inverse operations are used to solve the equation 2x+2=10

Answers

It goes 10 divided by 2 and then 2 divided by 2 to cancel out 2 so now it’s 2x = 5 the answer to your question is multiplication

Can you please help me with the question

Answers

it’s 8 haha good luck!!
2 is your answer hope it helps

i neeeeddddd one moreeeee

Answers

Slope= 1
Y= 12
Equation= y = x + 12
In general, what do your observations suggest about the corresponding sides of two similar triangles?

Bernardo is converting a fraction, StartFraction a Over b EndFraction, to a percent. Both a and b are whole numbers and not equal to zero. Which expression represents the percent?

Answers

Answer:

[tex]Percent = \frac{100a}{b}\%[/tex]

Step-by-step explanation:

Given

[tex]\frac{a}{b}[/tex]

Required

Convert to fraction

To do this, we simply multiply the fraction by 100%

This gives:

[tex]Percent = \frac{a}{b} * 100\%[/tex]

[tex]Percent = \frac{a * 100}{b}\%[/tex]

[tex]Percent = \frac{100a}{b}\%[/tex]

The expression cannot be further simplified.

Take for instance the fraction is: [tex]\frac{2}{5}[/tex]

Using the same analysis, the percentage would be:

[tex]Percent = \frac{2}{5} * 100\%[/tex]

[tex]Percent = \frac{2 * 100}{5}\%[/tex]

[tex]Percent = \frac{200}{5}\%[/tex]

[tex]Percent = 40\%[/tex]

Answer:

100(a divided by b)

Step-by-step explanation:

hope this helps tell me if im wroung

Need help with this. Please

Answers

Answer:

No

Step-by-step explanation:

The answer is B. In order to create a triangle you should be able to add the two shortest sides and get the final side so this is not going to equal a triangle at all.

Help pleaseeeee ! for a friend

Answers

Answer:

35=6X

Step-by-step explanation:

X can be the number of times Mr. O goes to Starbucks

Hey,

35 = 6X

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

PLEASE HELP ;)
Who did it right?

Find the slope of the line parallel to 2x+3y=8

Answers

Answer:

Brandon

Step-by-step explanation:

2x + 3y = 8

-2x         -2x

3y = -2x + 8

y = (-2/3)x + 8/3

m = (-2/3)

even tho brandon did not divide 8 by 3, you were just supposed to find the slope of the line parallel to that line so for the most part, he is correct for the way he got his answer

Answer:

slope = - [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x + 3y = 8 ( subtract 2x from both sides )

3y = - 2x + 8 ( divide all terms by 3 )

y = - [tex]\frac{2}{3}[/tex] x + [tex]\frac{8}{3}[/tex] ← in slope- intercept form

with slope m = - [tex]\frac{2}{3}[/tex]

Parallel lines have equal slopes , thus

slope of parallel line = - [tex]\frac{2}{3}[/tex]

If fabric costs $4 a foot, which graph below shows this relationship?
A. Graph A
B. Graph B
C. Graph C
D. Graph D

Answers

Answer:

Graph A

Step-by-step explanation:

Answer:

A.)

Step-by-step explanation:

since here using for example just one foot is (1,4) add another (2,8) since you are doubleing the price. and the rest are just going in weird derections.

You buy a Radio for $129.99 and a DVD Player for 89.99? What is the total after 11% sales tax?

Answers

Answer:

$244.18

Step-by-step explanation:

The tax is $24.20 and add it to your net amount (excluding the tax)

Which fraction is equivalent to 1/3 PLUS 1/6

Answers

Answer: [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Find the common denominator:

3, 6, 9, 12

6, 12, 18

- 6 is your common denominator.

Multiply your fraction by 1 [tex](\frac{2}{2})[/tex]

[tex]\frac{1}{3} * \frac{2}{2} = \frac{2}{6}\\[/tex]

Add:

[tex]\frac{2}{6} + \frac{1}{6} = \frac{3}{6}[/tex]

Reduce:

[tex]\frac{3}{6} = \frac{1}{2}[/tex]

The simplest form is 1/2.

What is fraction?

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.

Given:

1/3 + 1/6

Now, we have to add the fraction by focusing the numerator as

=1/3 + 1/6

Now, LCM(3, 6)= 6

= 1/3 x 2/2 + 1/6

=2/6 + 1/6

=(2+1)/6

=3/6

=1/2

Hence, the simplest form is 1/2.

Learn more about fraction here:

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please answer correctly

-6 - 2 (4x - 7) = -32

Answers

Answer:

x=5

Step-by-step explanation:

-6 - 2(4x - 7) = -32

Distribute -2

-6 - 8x +14 = 32

Combine Like Terms

-8x + 8 = -32

Subtract 8 from both sides

-8x = -40

Divide each side by -8

- x - = +

So the final answer would be:

x = 5

WILL MARK YOU BRAINLIEST WRONG ANSWER WILL BE REPORTED!

Answers

Answer:

( 3,-3)

Step-by-step explanation:

see the coordinates....it's easy....

what is the perpendicular slope intercept form?​

Answers

Answer:

y = -1/2x + 2.5

Step-by-step explanation:

- slope of a perpendicular line is the negative reciprocal of the original slope (2 in this case) so y = -1/2 x + c

- to find c we substitute the values from the given point into the equation

(0) = -1/2*(5) + c

- rearrange and calculate and you'll get c = 5/2 or 2.5

- replace the value of c and now you've got y = -1/2x + 2.5

Joe Howard earns an annual gross pay of $955,520 as a
professional baseball player. He is married with 4 dependents.
How much is withheld from his monthly paycheck for state
income tax?

Answers

Answer: 3924.25

Step-by-step explanation:

0.0150x1000=15

0.0300x2000=60

0.0450x2000=90

0.0500x938520=46926

Add the numbers

47091÷12=3924.25

Additional work:

955520-12000=943520-1000=942520-2000=940520-2000=938520

His monthly paycheck for state income tax is $19,906.65.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For exmaple, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Annual Gross pay = 955520

He is married with 4 dependents.

So, every month he earn

= 955520/12

= 79,626.6

and, Also have 4 dependents

= 79,626.6 /4

= 19,906.65

Hence,  his monthly paycheck for state income tax is $19,906.65.

Learn more about unitary method here:

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Jack works after school. Each day he is paid a set amount, plus an hourly wage. Look at the table. Choose the linear function f Jack can use to
find his pay.
Hours
1
1.5
2
2.5
3
Pay
18
23
28
33
38
A. f(x) = 10x + 8
B. f(x) = 15x + 3
O
C. f(x) = 0.5x + 1
D. f(x) = x + 18

Answers

Answer:

A. [tex] f(x) = 10x + 8 [/tex]

Step-by-step explanation:

The equation in slope-intercept form, [tex] f(x) = mx + b [/tex], can be created to be used in finding Jack's pay. We need to find the slope (m) and the y-intercept (b) of the linear function.

Using two points (1, 18), and (1.5, 23), find the slope (m):

Slope (m) = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{23 - 18}{1.5 - 1} = \frac{5}{0.5} = 10 [/tex]

Find b, by substituting x = 1, f(x) = 18, and m = 10 into [tex] f(x) = mx + b [/tex].

[tex] 18 = (10)(1) + b [/tex]

[tex] 18 = 10 + b [/tex]

Subtract 10 from each side

[tex] 18 - 10 = b [/tex]

[tex] 8 = b [/tex]

[tex] b = 8 [/tex]

Substitute m = 10 and b = 8 into [tex] f(x) = mx + b [/tex].

✅Thus, the linear function that can be used to find Jack's pay would be:

[tex] f(x) = 10x + 8 [/tex]

Place the following quadratic in vertex form and identify the vertex.
y = x^2 + 12x + 50

Answers

Answer:

89

Step-by-step explanation:

Y=x^2+12x+50
+36. +36
————————
y+36=(x+6)^2+50
y=(x+6)=+50
-36
————————
y=(x+6)^2+14

A playground is rectangular with a length of 2/4 miles. If the area of the playground is 8/12 square miles, what is its width? Input your answer as a fraction.

quick please

Answers

1/6 because when multiplying One over four and then so that you get the same denominator you subtract and then you simplify are you get 1/6

The width of the playground is 4/3 miles.

What is the area of the rectangle?

The formula for area is equal to the product of the length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides.

Given here, the length = 2/4 miles and Area = 8/12 miles

Thus width = 8/12 / 2/4

                   = 4/3 miles

Hence, the width of the playground is  4/3 miles.

Learn more about area of rectangle here:

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Assume Jack works from 2:30 PM to 7:00 PM. Using the function f(x) = 10x + 8, how much would he earn?

Answers

Answer:

$53

Step-by-step explanation:

10(4.5) + 8= 53

$53

hope this helped!

The earnings of Jack by the function assuming x as time spent from 2.30 PM will be $53.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

As per the given function,

f(x) = 10x + 8

Time spent working x = 7:00 PM - 2:30 PM

x = 4.50 hour

f(4.30) = 10(4.50) + 8

f(x) = $53

Hence "The earnings of Jack by the function assuming x as time spent from 2.30 PM will be $53".

For more about the linear function,

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Write the ratio as a fraction in simplest form. 5 meters : 20 meters

Answers

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Given the ratio

5 m : 20 m ← divide both parts by 5

= 1 : 4

= [tex]\frac{1}{4}[/tex] ← as a fraction in simplest form

Line segment NY has endpoints N(-11, 5) and Y(5, -7). What is the equation of the perpendicular bisector of NY?

Answers

Answer:

9/6

Step-by-step explanation:

I think this is what you're looking for...

Answer:1.

5

x

2

y

=

4

; (−1, 1)

2.

3

x

4

y

=

10

; (2, −1)

3.

3

x

+

y

=

6

; (4, 6)

4.

8

x

y

=

24

; (−2, −3)

5.

x

+

y

=

7

; (5, −2)

6.

9

x

3

y

=

6

; (0, −2)

7.

1

2

x

+

1

3

y

=

1

6

; (1, −2)

8.

3

4

x

1

2

y

=

1

; (2, 1)

9.

4

x

3

y

=

1

;

(

1

2

,

1

3

)

10.

10

x

+

2

y

=

9

5

;

(

1

5

,

1

10

)

11.

y

=

1

3

x

+

3

; (6, 3)

12.

y

=

4

x

+

1

; (−2, 9)

13.

y

=

2

3

x

3

; (0, −3)

14.

y

=

5

8

x

+

1

; (8, −5)

15.

y

=

1

2

x

+

3

4

;

(

1

2

,

1

)

16.

y

=

1

3

x

1

2

;

(

1

2

,

2

3

)

17.

y

=

2

; (−3, 2)

18.

y

=

4

; (4, −4)

19.

x

=

3

; (3, −3)

20.

x

=

0

; (1, 0)

Find the ordered pair solutions given the set of x-values.

21.

y

=

2

x

+

4

; {−2, 0, 2}

22.

y

=

1

2

x

3

; {−4, 0, 4}

23.

y

=

3

4

x

+

1

2

; {−2, 0, 2}

24.

y

=

3

x

+

1

; {−1/2, 0, 1/2}

25.

y

=

4

; {−3, 0, 3}

26.

y

=

1

2

x

+

3

4

; {−1/4, 0, 1/4}

27.

2

x

3

y

=

1

; {0, 1, 2}

28.

3

x

5

y

=

15

; {−5, 0, 5}

29.

x

+

y

=

3

; {−5, −1, 0}

30.

1

2

x

1

3

y

=

4

; {−4, −2, 0}

31.

3

5

x

+

1

10

y

=

2

; {−15, −10, −5}

32.

x

y

=

0

; {10, 20, 30}

Find the ordered pair solutions, given the set of y-values.

33.

y

=

1

2

x

1

; {−5, 0, 5}

34.

y

=

3

4

x

+

2

; {0, 2, 4}

35.

3

x

2

y

=

6

; {−3, −1, 0}

36.

x

+

3

y

=

4

; {−4, −2, 0}

37.

1

3

x

1

2

y

=

4

; {−1, 0, 1}

38.

3

5

x

+

1

10

y

=

2

; {−20, −10, −5}

Part B: Graphing Lines

Given the set of x-values {−2, −1, 0, 1, 2}, find the corresponding y-values and graph them.

39.

y

=

x

+

1

40.

y

=

x

+

1

41.

y

=

2

x

1

42.

y

=

3

x

+

2

43.

y

=

5

x

10

44.

5

x

+

y

=

15

45.

3

x

y

=

9

46.

6

x

3

y

=

9

47.

y

=

5

48.

y

=

3

Find at least five ordered pair solutions and graph.

49.

y

=

2

x

1

50.

y

=

5

x

+

3

51.

y

=

4

x

+

2

52.

y

=

10

x

20

53.

y

=

1

2

x

+

2

54.

y

=

1

3

x

1

55.

y

=

2

3

x

6

56.

y

=

2

3

x

+

2

57.

y

=

x

58.

y

=

x

59.

2

x

+

5

y

=

15

60.

x

+

5

y

=

5

61.

6

x

y

=

2

62.

4

x

+

y

=

12

63.

x

+

5

y

=

0

64.

x

+

2

y

=

0

65.

1

10

x

y

=

3

66.

3

2

x

+

5

y

=

30

Part C: Horizontal and Vertical Lines

Find at least five ordered pair solutions and graph them.

67.

y

=

4

68.

y

=

10

69.

x

=

4

70.

x

=

1

71.

y

=

0

72.

x

=

0

73.

y

=

3

4

74.

x

=

5

4

75. Graph the lines

y

=

4

and

x

=

2

on the same set of axes. Where do they intersect?

76. Graph the lines

y

=

5

and

x

=

5

on the same set of axes. Where do they intersect?

77. What is the equation that describes the x-axis?

78. What is the equation that describes the y-axis?

Part D: Mixed Practice

Graph by plotting points.

79.

y

=

3

5

x

+

6

80.

y

=

3

5

x

3

81.

y

=

3

82.

x

=

5

83.

3

x

2

y

=

6

84.

2

x

+

3

y

=

12

Step-by-step explanation:

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