in the right triangle, the legs have lengths 5 and 7 . Express the length of the hypotenuse in radical form?

Answers

Answer 1

Answer:

[tex]\sqrt{74}[/tex] units

Step-by-step explanation:

Hi there!

We can use the Pythagorean theorem to solve this question:

[tex]a^2+b^2=c^2[/tex] where a and b are the two legs and c is the hypotenuse

Plug in the two legs 5 and 7 and solve for c, the hypotenuse:

[tex]5^2+7^2=c^2\\25+49=c^2\\74=c^2\\c=\sqrt{74}[/tex]

Therefore, the length of the hypotenuse in radical form is [tex]\sqrt{74}[/tex] units.

I hope this helps!


Related Questions

23
An object containing the point (-6, 10) was moved to the location (12, -2). Which choice best described the translation?
A right 12, down 12
Bright 6, down 10
right 18, down 12
Dright 18, up 12

Answers

Answer:

C right 18, down 12

Step-by-step explanation:

Well firstly,

you should focus on the x in both the previous and after location of the object.if you minus 12 from the after point (12,-2) by -6 from the previous point (-6,10) for the object, you'll get 18 which is positive, which means that the object will moves to the right side of the graph →

12 - (-6)

= 18

Next,

you should now focus on the y in both the previous and after location of the object.you should minus -2 by 10 and you'll get -12, which means that the object will moves to the down side of the graph ↓

-2 - 10

= -12

So, the object will move 18 boxes to the right and 12 boxes down to achieve the after, final or last location as stated in the question (12,-2)

Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
15, 11, 7, ...

Answers

the sequence is arithmetic since the common difference that is equal
d=11-15=7-11=-4
a(n) = a1 +(n-1)d
a1=15
=
a(n) = 15+(n-1)-4

What is the distance between coordinates (5,0),(04)

Answers

(0-5)^2 + (4-0)^2 = -5^2 + 4^2 = 25+16= 41
Radical of 41

A park charges $8 per hour to rent a bike
Choose the equation that models the situation, where c represents the total cost and
h represents the number of hours of bike rental.

Answers

The answer would be c=8h
cost equals 8$ per(times) hour

c=8j

please please please help me

Answers

Answer:

Step-by-step explanation: Volume is the amount of space something takes up, just add up the numbers once you found them.

Why would lines segments, rays, or planes not exist if points do not exist

Answers

Points act as a reference for line segments, rays and planes. In order for one of these geometric features to exist, some form of location would have to be given. Points act as reference so that these features can be plotted.

This question as the simplest form guys pls helppppp

Answers

Answer:

[tex]\frac{27}{2}[/tex]

Step-by-step explanation:

Okay, first whenever you divide a fraction, you're going to want to multiply by the reciprocal. The reciprocal or the inverse in this case is [tex]\frac{3}{2}[/tex].

Multiply 9 with the integer. Also, remember that numbers that aren't fractions like 9 can be written as a fraction with a 1 in the denominator. 9 = [tex]\frac{9}{1}[/tex]. So,

[tex]\frac{9}{1}[/tex] × [tex]\frac{3} {2}[/tex]. Multiply across. The numerators together (9 with 3) and the denominators together (2 with 1).

9 × 3 = 27 and 1 × 2 = 2. As a fraction the answer will come out to be [tex]\frac{27}{2}[/tex].

Please help algebra one

Answers

Answer:

b

Step-by-step explanation:

make me as brainliest pls

The lentgh of a rectangle is 7 inched adn the wudth is (x+2) inches. write an expression in the simpilest form that represents the areaof the rectangle

Answers

The area of the rectangle is length * width = 7 * (x + 2) = 7x + 14

Anyone know this please?!

Answers

I think scalene. Line MN is 6, MP is 9.2, and PN is 8.1. All side lengths are different.

Given f (x) = 2x^3 - 9x + k and x - 1 is a factor of f (x), then what is the value of k?

Answers

Something complicated I’m sure

change 7/8 into a decimal.

Answers

Answer:

0.875

Step-by-step explanation:

you have to multiply it

Answer:

7/8=0.875

Step-by-step explanation:

We know that 7/8 is the same as 7÷8 Then using Long Division for 7 divided by 8 and rounding to a Max of 3 Decimal Places gives us 7/8=0.875

Jess is thinking of a number. Eight less than six times the number is 64. Find the number.

Answers

Answer:

-32

Step-by-step explanation:

the expression would be n ( 8 - 6 ) = 64. first solve whats in the parentheses, which is -2. then multiply n by -2, which is -2n = 64. divide 64 by -2, which is -32. to check, multilpy -2 by -32, which is 64. therefore the number is -32.

Sheila walks 3 miles in of an hour. How fast does she walk per hour?

Answers

Answer:

Shiela walks 3 miles per hour

Step-by-step explanation:

if you reread the question it easily gives it away

Find the distance between the two points rounding to the nearest tenth (if necessary)

(3,6) and (1,9)

Answers

Answer:

3.6

Step-by-step explanation:

Solve " 1/2 (2 + 12) = 2z + 3 " 3 different ways

URGENT! WILL HEART AND GIVE BRANLIEST!

Answers

Yeah yeah I just said I don’t know how long it is going but I’m going to do a lot of stuff like this one too lol I’m equally like that I’m just so mad I just want to be mad because it’s not gonna be a joke I’m sorry but I can’t wait to get back to

What is the sum of the third and
ninth square numbers?

Answers

9×9=81
3×3×3=27
27+81=108
108 is the answer

Step-by-step explanation:

the third square number is 16 and the ninth is 100 (100+16)

1) A 60 cm length of wire is used to form a rectangle. The
width of the rectangle is 3 cm longer than the height. Not all
the wire is used.
Find the range of values for the shortest side.

Answers

Answer:

Step-by-step explanation:

here's a somewhat answer, and how to solve it

lets assume that all "60 cm wire is used to make a rectangle"

h = a

w = a + 3

the perimeter of the rectangle is

a + a + a + 3 + a + 3 = 60

4a = 54

a = 13.5

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

height = 13.5

width = 16.5

BUT, the problem says "not all the wired is used"

how much? 59? 58? 57.... the lowest value for the shortes side is 1

h = 1

w = 1 + 3 = 4  

perimeter : 1 +4 + 4 + 1 = 6cm

if this is not good enough. please make a comment below to delete my answer

please help it would be greatly appreciated:)

Answers

Sorry I haven’t learned that yet

1x2(I572535x789)+345678x89/56

Answers

I searched it up, and this is what it showed, hope it helps

Answer this please!!!!!
He/she will get brainlist​

Answers

Answer:

1)26

2)5

3)14

4)7

5)5

6)3

7)8

8)-9

9)34

10)-65

Step-by-step explanation:

please mark me as brainlest

a hair salon used 21 ounces from a bottle of shampoo. 30% of the bottle remains. how many ounces were in the original bottle

Answers

Answer:

23

Step-by-step explanation:

I’m pretty sure at least if not sorrrryyy

What is the value of 2x(3+x2) when x=−2?

Answers

Answer:

4

Step-by-step explanation:

hope this helps :)

1) Danielle completely covered a square window using 18.4 ft of contact paper without any
overlap. Which measurement is closest to the side length of this window in feet?
A 5 ft
B 4 ft
C 9 ft
D 3 ft

Answers

the answer should be b. because 4(4) = 16 and that’s closer to 18.4 than the others.

Parallel Lines Practice NO LINKS PLEASE and please explain this for me so i can understand

Answers

Answer:

C. 143

Step-by-step explanation:

x = 143° as corresponding angles

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

In the given figure, the Angle x forms Alternate exterior angle pair with 143°, so

value of x° = 143°

(since, Alternate Exterior Angles have equal measures)

please solve and explain !!!

Answers

Answer:

107

Step-by-step explanation:

Angle 1

When a line is passes through a straight line, the two angles must equal 180 degrees.  Since you know the one angle is 81, then angle 1 is 180 - 81 or

99 degrees.

Angle 2

You can determine the angle that is opposite of the 91 angle.  These two angles must add up to 180.  So the angle to the right of 91 must be 89.

89 + 91 = 180

You were told lines c and d are parallel.  Based on that, the angle you just calculated must be equal to angle 2 or 89 degrees.

Angle 3

Again, you know that lines c and d are parallel. When a line crosses over two parallel lines, the outer opposite angles would be equal to each other.

So angle 3 is equal to the angle marked as 81 degrees.

Angle 1 + Angle 2 - Angle 3 = 107

Please help!!!!! Show work!

Answers

Answer:

0=12

Step-by-step explanation:

D
الا
3x+3
4x+2
Determine the value of mZDCB.

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The given Angles (4x + 2) and (3x + 3) are forming linear pair, so

[tex]4x + 2 + 3x + 3 = 180[/tex]

[tex]7x + 5 = 180[/tex]

[tex]7x = 180 - 5[/tex]

[tex]7x = 175[/tex]

[tex]x = \dfrac{175}{7} [/tex]

[tex]x = 25[/tex]

now, let's find Angle DCB :

[tex]3x + 3[/tex]

[tex](3 \times 25) + 3[/tex]

[tex]75 + 3[/tex]

[tex]78 \degree[/tex]

Which one is bigger, -3.142 or -0.5?

Answers

Answer: -0.5

This number is closer to zero


The equation y=0.06x+105 gives the cost y of renting a car if the care is driven x miles. Based on this equation, for every mile the car is driven the cost of increases by how much?

Answers

Answer:

it increases by 6 cents for every mile driven plus the initial 105 dollars

Step-by-step explanation:

brainliest plzzzz

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