The lengths of the legs of a right triangle are 8 inches and 9 inches. What is the length of the hypotenuse? Round to the nearest inch. Enter your answer in the box.

Answers

Answer 1
hyp^2 = 8^2 + 9^2
hyp^2 = 64 + 81
hyp^2 = 145
hot = 12 inch
Answer 2

The length of the hypotenuse in a right triangle is 12 inches.

What is the Pythagoras theorem?

The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.

Given that, the lengths of the legs of a right triangle are 8 inches and 9 inches.

Let the length of the hypotenuse be x.

Here, x²=8²+9²

x²=64+81

x²=145

x=√145

x=12.04

x≈12 inches

Therefore, the length of the hypotenuse is 12 inches.

To learn more about the Pythagoras theorem visit:

brainly.com/question/21926466.

#SPJ6


Related Questions

John deposited $2,100 into his bank account. The bank will pay 1.5% interest compounded annually on his account. He plans on leaving his money in there with no additional deposit for 5 years. Which formula would you use to determine how much money he has after 5 years?

Answers

U I uwu uwsuwuwuwUWU

Write a unit rate for the situation. 1080 miles on 15 gallons
Miles per gallon

Answers

Answer:

72 miles / gallon

Step-by-step explanation:

1080/15 = x/1

1080 / 15 = 72

72 miles on 1 gallon

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

How many triangles can be drawn with one 90o ​angle, a 70° angle, and an included side measuring 3​ inches? Explain. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

Answers

Answer:

2

Step-by-step explanation:

This is because any of the sides can be the one measuring 3 inches. Since it is a triangle, the sum of angles is 180. Let the third angle be x.

So, x + 90° + 70° = 180°

x + 160° = 180°

x = 180° - 160°

x = 20°

So, the third angle is 20°.

If the included side is a side other than the hypotenuse side, we can find it by applying the sine rule.

The included side can be either side other than the hypotenuse.

Also, either of the third angle in each triangle can be 20°

So, we have two sides and two triangles.

If the included side is the hypotenuse side, we use Pythagoras' theorem to find the length of the other two sides (and they must be equal)since the angle between the two sides is a right-angle, that is, 90°.

Since the other two angles are not equal, we cannot have a triangle with two equal sides and an hypotenuse. That is, we cannot have an isosceles triangle. So, no third triangle.

So, the total number of triangles that can be drawn with one 90° angle, a 70° angle and an included side measuring 3 inches is 2.

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Answers

Answer:

area of circle=π[tex]r^{2}[/tex]

452.1=3.14[tex]r^{2}[/tex]

452.1/3.14=[tex]r^{2}[/tex]

143.98=[tex]r^{2}[/tex]

[tex]\sqrt{143.98}[/tex]=r

11.99=r

now ,

diameter=2r

=2*11.99

=23.98

Step-by-step explanation:

Find the area and perimeter please solve with explanation

Answers

Perimeter of the yellow shape:

27m

because

6.3+7.2+2.8+4.9=21.2

then to find the 2 other sides you need to

7.2-4.9=2.3

and

6.3-2.8=3.5

THIS IS URGENT PLEASE GAW DAMMIT ;-;
Using the graph, determine the coordinates of the x-intercepts of the parabola.

Answers

Answer:

i believe the answer would be -1 and 6

Answer:

Coordinates are (5,0) & (7,0)

Just refer to the point where the graph intersects the x-axis I think.

I NEED THIS ANSWER After simplifying, which expressions are equivalent? Select three options.
(3.4a – 1.7b) + (2.5a – 3.9b)
(2.5a + 1.6b) + (3.4a + 4b)
(–3.9b + a) + (–1.7b + 4.9a)
–0.4b + (6b – 5.9a)
5.9a – 5.6b

Answers

Answer:

1, 3, 5 are correct

Step-by-step explanation:

1. (3.4a – 1.7b) + (2.5a – 3.9b) = 5.9a - 5.6b

2. (2.5a + 1.6b) + (3.4a + 4b) =   5.9a + 5.6b

3. (–3.9b + a) + (–1.7b + 4.9a) = 5.9a - 5.6b

4. –0.4b + (6b – 5.9a) = 5.9b - 5.6a

5. 5.9a – 5.6b = 5.9a – 5.6b

In the morning, the temperature was – 10°C. By the afternoon, it had risen to – 2°C. What was the change in temperature from the morning to the afternoon?

Answers

Answer:

8 °C

Step-by-step explanation:

Step 1: Given data

Initial temperature value (T1): -10 °C

Final temperature value (T2): -2 °C

Step 2: Calculate the change in temperature from the morning to the afternoon

To calculate the change in the temperature, we have to perform the subtraction T2 - T1.

ΔT = T2 - T1 = (-2 °C) - (-10 °C) = -2 °C + 10 °C = 8 °C

The temperature change is positive, meaning that the temperature increased.

5x/6-x/3+1 =8/9
Find the LCD that would eliminate the fractions

Answers

Answer:

answer is in the picture

Which theorem us shown by the diagram above?

Answers

Answer:

it is option C

Step-by-step explanation:

using Pythagoras theorem

hyp^2=adj^2+opp^2

a^2+b^2=c^2

help me out please <3

Answers

Answer:

Step-by-step explanation:

67,68,69,69,69,71,71,72,73,75

median=(N+1)/2(N=no of data)

=(10+1)/2

=11/2

=5.5

(5 th +6 th) /2term

69+71/2

140/2

70

therefore median=70

?????????!!?????????????!!!????

Answers

Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

I need a answer for this

Answers

Answer:

6

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

a^2 + 8^2 = 10^2

a^2 +64=100

a^2 = 100-64

a^2 = 36

Take the square root of each side

sqrt(a^2) = sqrt(36)

a = 6

On selling an article for Rs 2300, a shopkeeper made a profit of 15 %. find the cost price of the article.

Answers

Let the cost price of article be x :

x + x × ( 15/100 ) = 2300

x + x × ( 5 × 3 / 5 × 20 ) = 2300

x + x × ( 3 / 20 ) = 2300

x + ( 3 × x / 20 ) = 2300

x + ( 3x / 20 ) = 2300

( 20x / 20 ) + ( 3x / 20 ) = 2300

20x + 3x / 20 = 2300

23x / 20 = 2300

Multiply both sides by 20

( 23x / 20 ) × 20 = 2300 × 20

23x = 2300 × 20

23x = 23 × 2000

Divide both sides 23

23x ÷ 23 = ( 23 × 2000 ) ÷ 23

x = Rs 2000

If the length of qr is 8 cm and the length of qs is 12 cm, what is the length of rs?

Answers

Answer:

8.94

Step-by-step explanation:

Given that

qs = 12cm

qr = 8cm

Required

rs

Using the pythagoras theorem

Let us assume qs is the hypotenuse side

qs² = qr² + rs²

12² = 8² + rs²

144 = 64 +rs²

rs² = 144 - 64

rs² = 80

rs = √80

rs = 8.94

Hence the value of rs is 8.94

I need a answer for this

Answers

Answer:

148 i think i’m not sure

Step-by-step explanation:

Answer:

Hello! answer: b = 24

Step-by-step explanation:

25 × 25 = 625 7 × 7 = 49 625 - 49 = 576 24 × 24 = 576 therefore b = 24 hope that helps!

Solve using the quadratic formula. Approximate answers to the nearest tenth.

Answers

X = 2,-7


I’m pretty sure it’s this

Answer:

x=2

Step-by-step explanation:

X^2+5x-14=0

x^2-2x+7x-14=0

7x-14=0

x=2

The current in a certain resistor is 0.50A when it is connected to a potential difference of 110V. If the operating potential is 130V, the current in the same resistor is

Answers

Answer:

0.59 A

Step-by-step explanation:

The current in a certain resistor is 0.50 A

The potential difference is 110v

The operating potential is 130v

The current in the same resistor can be calculated as follows

= 110/0.50

= 220

= 130/220

= 0.59

Hence the current is 0.59 A

please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

First, draw the diagram.

We have the variable, l.

Then, we have:

tan angle=opposite/adjacent

So plug it in, it will be:

tan 60=l/50m

So then l=tan60*50m.

tan60=1.732

l=1.732*50m

and so out answer ends up being 86.6m.

Note: I don't know if this is the best way but...that's how I did it.

9. For the function defined by the equation y = 2x^2 -10, which of the following represents the
output when the input is -3?
(1) 6
(3) -10
(2) 8
(4) -28

Answers

Answer:

8

Step-by-step explanation:

y = 2x^2 -10

Let x = -3

y = 2( -3)^2 -10

y = 2 (9) -10

y = 18-10

y = 8

For 1a-1b: At a book sale, all books cost less than $5
(1a) What is the highest price that a book could be?

Answers

Answer:

$4.99

Step-by-step explanation:

It is the largest amount under $5.

show all work. Write the equation of the line in slope intercept form (-5, -5) & (-1, 3)

Answers

Answer:

y = 2x + 5

Step-by-step explanation:

(-5 , -5)  & (-1 , 3)

Slope =[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

         [tex]=\frac{3-[-5]}{-1-[-5]}\\\\=\frac{3+5}{-1+5}\\\\=\frac{8}{4}\\\\= 2[/tex]

m = 2 & (-5 , -5)

Y -y1 = m(x -x1)

y - [-5] = 2(x - [-5] )

y + 5 = 2 (x + 5)

y+ 5 = 2x + 2*5

   y = 2x + 10 - 5

   y = 2x + 5

subtract -2/15 from -3/5 and add the result to 5/6​

Answers

Answer:

6/5

Step-by-step explanation:

-3/5-(-2/15)+5/6

-3/5+2/15+5/6

=-3+2×5/15 + 5/6. (taking lcm)

=-3+6/15+5/6

=3/15+5/6

=3+5×3/15 (taking lcm)

=18/15

=6/5

Answer:

Step-by-step explanation:

-3/5-(-2/15)+5/6

=-3/3+2/15(take lcm of 3 and 15)+5/6

=-3*3+2*1/15+5/6

=-9+2/15+5/6

=-7/15+5/6(take lcm of 15 and 6)

=-7*2+5*5/30

=-14+25/30

=11/30

=11/30

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Answers

Answer:

Symbol

Step-by-step explanation:

the object symbolizes something else

Answer:

C. Symbol

Step-by-step explanation:

Symbol-a mark or character used as a conventional representation of an object, function, or process, e.g. the letter or letters standing for a chemical element or a character in musical notation.

y = 2x + 1 y = 3x - 1

Answers

Answer:

i think the answer is B

Step-by-step explanation:

5=6-1

5=5

just need to get the equations equal together then solve for x which will give u the x-coordinate of intersection then u need to put it in which equation u want to find the y-coordinate of intersection point :

2x + 1 = 3x - 1

Add both sides 1

2x + 1 + 1 = 3x - 1 + 1

2x + 2 = 3x

Subtract both sides 2x

2x - 2x + 2 = 3x - 2x

x = 2

( This is the x-coordinate of intersection point )

_________________________________

Now to find the y-coordinate of the intersection point we have to put the value of x we found in of the equations :

y = 2x + 1

y = 2(2) + 1

y = 4 + 1

y = 5

_________________________________

Thus :

intersection point = ( 2 , 5 )

So the correct answer is option B .

If y =-3, than 4+y/4y=

Answers

answer:1/-12



4+y/4y
y=-3
4+(-3)/4(-3)
4-3=1
4(-3)=-12
1/-12

Answer:

6.25

Step-by-step explanation:

4+3 ÷ 4×3 = 6.25

or

25/4

or

6 1/4

these triangles are congruent by which triangle congruence postulate ?

Answers

(a) SSS (side side side)
every side on one triangle is correspondingly equal to that of the same side in the other triangle

mary walked 2.1 hours along part of the trans canada trail at a speed of 3.6 km. what distance did mary travel

Answers

Answer:

7.66 km

Step-by-step explanation:

2.1x3.6=

2.1x6=1.26

2.1x3=6.40

1.26+6.40=7.66


When she was born, Tabitha’s rich aunt put $10,000 in a bank account in Tabitha’s name to be saved for her college education. The account earns 6% annual interest.

Martin's family opened an account when he was born. They started by putting $15,000
in this account and then his family added $50 a month, which is $600 per year to his
account. The account did not earn interest over time.
a. Make a table showing the value of each account of each year for 5 years. Round
your answers to the nearest dollar. Explain what calculations you used to find
the missing entries.

Answers

Answer:

Step-by-step explanation:

I NEED HELP PLEASE IT WOULD REALLY MEAN AOT !!!!

NO ZOOMS OR LINKS!!!!

Answers

Answer:

20.78

Step-by-step explanation:

sin a = perpendicular/ hypotenuse

where a is the base angle

here a = 60

sin 60 = 18/ x

since,

[tex] \sin(60) = \ \frac{ \sqrt{3} }{2}[/tex]

[tex] \frac{ \sqrt{3} }{2} = \frac{18}{x} [/tex]

√3 x = 36

x = 36/ √3

x = 36/ 1.732

x = 20.78

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