Given a right triangle with a leg of 8 and a hypotenuse of 17, what is the length of the other leg?

Given A Right Triangle With A Leg Of 8 And A Hypotenuse Of 17, What Is The Length Of The Other Leg?

Answers

Answer 1
Pythagorean Theorem: a2+b2 = c2
where a, b are the sides of the right triangle and c is the hypotenuse

82 + x2 = 172 where x is the other side
x2 = 172 - 82
x2 = 289-64
x2 = 225
x = √225
x = 15
Answer 2

Answer:

a

Step-by-step explanation

bc the legs have 2 b shorter than the hypotenuse


Related Questions

What number does 10 need to be divided by to make 5?

Answers

Answer:

2

Step-by-step explanation:

We can put this into an equation:

10/x=5

first, we multiply x on both sides:

10=5x

and then we divide by 5 on both:

2=x

so the answer is 2

Answer:

2

Step-by-step explanation:

10 divided by 5 equals 2. If you have trouble doing this you can multiply with your calculator to find the answer. Or even divide with a calculator!

Hope this helps :)

Have a great day and enjoy your assignments!

<3 sun

The height of a football is given by the function h of t equals negative16 t squared plus 56 t plus 3, where h of t is the height of the football in feet and t is the time in seconds after the ball is punted.



What is the height of the football 3 seconds after it has been punted?

Answers

Answer:

27 feet.

Step-by-step explanation:

Graph the quadratic equation, then find the point on the graph which aligns with x=3. Y would equal 27.

6[5x(41-36)-8+14)] =?
help pls

Answers

236 if my calculations were right:) have a wonderful rest of your day

allie went trick - or - treating one day. she wanted to dress up as a princess but her costume costs $340. she only as $119. how much money does allie need for her costume?
my sister needs help.....ughhhh shess soo annoyinggggg like dam

Answers

Answer:

459

Step-by-step explanation:

340+119=459

Answer:

221

Step-by-step explanation: 340-119 is 221

Anyone pls help! Please show all the work, will mark brainiest.
At thanksgiving, Helen's Pie company sells pies.
Hellen would like to roll and cut out the correct amount of dough for the top crust of this pie. What is the AREA of the dough she will need? Use 3.14 as pi.
Also the diameter is 4 inches

Answers

Answer:

12.56 in²

Step-by-step explanation:

Area = πr²

Substitute for pi.

A = 3.14 × r²

The diameter is 4. We divide the diameter by 2 to get the radius.

4 ÷ 2 = 2

Substitute for the radius.

A = 3.14 × 2²

Solve

A = 3.14 × 4 = 12.56 in²

I hope this helps and please mark me as brainliest!

Find the measurements

Answers

Answer:

<1=28, <2=62

Step-by-step explanation:

You know that the large triangle is 180 and there is a smaller triangle that is also 180. You are also provided an angle is 90 and another is 62.

90+62=152.

180-152=28. So, angle 1=28.

28+90=118.

180-118=62

The value of measure of angle ∠1 is,

⇒ ∠1 = 28°

And, The value of measure of angle ∠2 is,

⇒ ∠2 = 118°

What is mean by Angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Now, For definition of angles of triangles;

We get;

⇒ 62° + 90° + ∠1 = 180°

⇒ 152° + ∠ 1 = 180°

⇒ ∠ 1 = 180° - 152°

⇒ ∠1 = 28°

And, Sum of two interior angles of triangle is equal to an exterior angle of triangle.

Hence, We get;

⇒ ∠2 = ∠1 + 90°

⇒ ∠2 = 28° + 90°

⇒ ∠2 = 118°

Thus, The value of measure of angle ∠1 is,

⇒ ∠1 = 28°

And, The value of measure of angle ∠2 is,

⇒ ∠2 = 118°

Learn more about the angle visit:;

https://brainly.com/question/25716982

#SPJ7

In the diagram, AB, BC, CD, DE, EF, FG, GH, and HK all have lengths 4, and all angles are right angles, with the exception of the angles at D and F.



Determine the length of DF.

Answers

Answer:

5.66 length (3s.f.)

Step-by-step explanation:

[tex] \sqrt{4 {}^{2} + 4 {}^{2} } [/tex]

= 5.65685

= 5.66 (3 s.f.)

By using the Pythagorean theorem, we will see that the length of DF is 5.7 units.

How to get the length of DF?

We can make a right triangle with the sides: DE, FE, and DF.

Such that we know that:

DE = FE = 4

These two are the cathetus of the right triangle.

Then DF is the hypotenuse.

Now, remember the Pythagorean theorem, it says that the sum of the squares of the cathetus is equal to the square of the hypotenuse, then we have:

(DE)^2 + (FE)^2 = (DF)^2

4^2 + 4^2 =(DF)^2

√32 = DF = 5.7

The length of DF is 5.7 units.

If you want to learn more about right triangles, you can read:

https://brainly.com/question/2217700

Are multiplication and division of unit fractions related? Describe the relationship you see. BRAINLIEST HERE

Answers

Step-by-step explanation Hope this help a'lot

Multiplication and division both need to have a common denominator or else you would get an incorrect answer. Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators."

Multiplying and Dividing fractions are exactly the same. When dividing a fraction your doing the same as multiplying. Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. For example you have 1/3 divide by 4/6 you switch the sign to multiplication and switch 4/6 to 6/4. Then you multiply 1/3 and 6/4 across leaving you with 6/12, simplified to 1/2.

A scatter plot is made comparing x, the number of hours since midnight, with y, the number of lights turned on in a house. What would a point at (7,8) on the scatter plot mean?

Answers

Answer:

7 hours since midnight and 8 lights turned on.

Step-by-step explanation:

(x,y) so 7 is the x and 8 is the y.

PLEASE HELP ASAP ILL GIVE BRAINLIEST IF YOUR CORRECT

△ABC has interior angles with measures x°, 100°, and 70°, and △DEF has interior angles with measures y°, 70°, and 50°.

Using the given information, which statement is true?

The two triangles are not similar because x≠y .

The triangles are similar because they each have an interior angle with a measure 70°.

The two triangles are not similar because the interior angles are congruent but the side lengths are different.

The two triangles are not similar because y = 60 so it is impossible to have three congruent angles.

Answers

Answer:

Now, △DEF has interior angles with measures y°, 70°, and 20°.

By using angle sum property,

Now, we can say that,

"The two triangles are not similar because x≠y"

As one angle of measure 70 degree is common in both the triangles.

If 'x' would be equal to 'y' , then we could say that the triangles are similar by AA criteria.

Therefore, the two triangles are not similar because x is not equal to

Step-by-step explanation:

Answer:

the triangles are not similar. If they were, they would have the same angles.

The interior angles are not congruent. We can rule out choice B and C.

Just because they have one equal angle does not make them similar. We can rule out D.

A is the best answer.

I'm stuck T^T please help me!

Answers

Answer:

a. 52%

b. 56%

Step-by-step explanation:

a. 43+87=130

130/250×100

=52

b. 87+53=140

140/250×100

=56%

Sharon is buying candy. She buys 5 of each type on the menu. If she splits the price equally with four friends, how much do they each pay?

Candy Menu
Item
Cost
Licorice
$0.05
Gumball
$0.01
Gummy Bear
$0.07

Answers

$.09 is how much each friend pays
Totale price: ($0.05 x 5) + ($0.01 x 5) + ($0.07 x 5) = $0.65

The price each pay: $0.65/5 = $0.13

Which of the following inequalities is correct?

Answers

Answer:

Step-by-step explanation:

it is option C because a positive number will always be bigger then a negative number

option C!!! if you look at it, it’s logical

Beinggreat78, this is mostly for you. but whoever gets it right can have brainliest, but answer ASAP!

Answers

Answer:

[tex]beinggreat78~here.[/tex]

The answer is 5 : 19. I included the explanation on your other question. :-)

Answer:

5:19

Step-by-step explanation:

add all fruits you get 19

peaches to all fruits

= 5:19

Anyway why did you delete my answer?

Mark me as a brainlest please!

George started a coin collection. His dad gave him 75 coins. Each month he will add 20 coins to the collection. Which equation can be used to find y, the total number of coins in George's collection after x months?
A y= 75x + 20
B y = 20x + 75
C y = 75x - 20
D y=20x - 75

Answers

option B

hope it helps...!!!

Answer:

Option B!

Step-by-step explanation:

x = amount of months.

Each month = + 20 coins.

 

*Each month x amount of months = y*

so 20x + 75(Coins dad gave)

The question is in the Screenshot so as to answer options.

Answers

Answer:

option C

i hope it is correct

A figure is shown.







What is the value, in degrees, of xx?

Answers

Answer:

x = 44.3

Step-by-step explanation:

Knowing that the given figure shows a supplementary angle

⇒ Note that: Supplementary angle= 180 °

Since it already given the other two number

The equation is:

43 + 92.7 + x = 180

Adding both number together : 43 + 92.7

135.7 + x = 180

Subtract 135.7 from both sides

135.7 -135.7 +x = 180-135.7  

x = 44.3

Hence, the value in degrees of x = 44.3 °

~lenvy~

A restaurant worker used 5 loaves of wheat bread and 2 loaves of rye bread to make sandwiches for an event. Write a ratio that compares the number of loaves of wheat bread.

Describe what the ratio 7:2 means in terms of the loaves of bread used for the event

Answers

Answer:

5:2 or 5 to 2 as a fraction 5/2

Step-by-step explanation:

Answer:

5:2

Step-by-step explanation:

there are 5 wheat bread and 2 rye bread loaves so 7:2 means you added 2 more loaves of wheat bread.

KA YALL ( I think i got one tell me if im corrector not but i need two :)

Answers

Answer:

C

Step-by-step explanation:

you can remove the brakets in C and it simplifies down to whats in B

C because you just move the variables and disturb that

Each evening, Billy jogs around the high school track at a constant rate. The following equation describes the relationship between t, the time he jogs in hours, and d, the distance he jogs in kilometers. d = 7t Which graph represents the relationship between the amount of time Billy jogs and the distance he jogs?

Answers

Answer:

A

Step-by-step explanation:

The distance he jogs in kilometers would go by 7 every hour making it proportional relationship

Whoever gets it right can have brainliest, but answer ASAP!

Answers

Answer:

[tex]beinggreat78 ~is ~here ~to~ help~ you![/tex]

Let's start with 5 squared. 5 squared, or just squared in general, represents the number behind it times itself.

[tex]5^2~or~ 5*5 = 25[/tex]

Now, add 3

[tex]25 + 3 = 28[/tex]

Next, subtract 1

[tex]28 - 1 = 27[/tex]

Now, you must divide, because the line under the first equation represents division, or a fraction. For this case, division. Before dividing your result, 27, by y, the second equation, you first want to solve equation 2, y.

[tex]\frac{18}{2} = 9[/tex]

Lastly, divide x by y, 27 divided by 9

[tex]\frac{27}{9} = 3[/tex]

The problem is solved! The final answer is 3

#1 Please answer, i'm timed (EDGE 2022)

Answers

The answer is B) [tex]2(\frac{2}{5}x+2) =\frac{4}{5}x+4[/tex]

If it is incorrect it should be D) [tex]2(\frac{2}{5}x+4)=2\frac{2}{5} x+8[/tex]

The answer might be b

If w = 7 feet, x = 6 feet, y = 13 feet, and z = 8 feet, what is the area of the object?

Answers

Answer:

The Area is: 84ft

Step-by-step explanation:

multiply "Y" and "X" and you get 78ft.

"W" + "?"= "Y" If "W"=7, what is 13 ("Y") - 7? 13 -7=6. so "?"=6.

"Z"-"X"="?" "Z"=8 and "X"=6. so 8-6=2

2x6=12 *but remember that to find the area of a triangle it is half of a square of rectangle so you have to divide it in half. 12/2=6.

78+6=84.

Hope this helps! :)

The area to this equation is 84ft

Solve rational equation

Please Draw Steps, and show answer please!

Answers

[tex] \frac{2x}{x + 2} - \frac{x}{ - 1} = 1[/tex]

[tex]⇢ \frac{2x}{x + 2} = 1 + \frac{x}{x - 1} [/tex]

[tex]⇢ \frac{2x}{x + 2} = \frac{(x - 1) + x}{ - 1} [/tex]

[tex] ⇢\frac{2x}{x + 2} = \frac{2x - 1}{x - 1} [/tex]

By, Cross multiplying, we get

[tex]⇢2x(x - 1) = (2x - 1)(x + 2)[/tex]

[tex]⇢2 {x}^{2} - 2x = 2x(x + 2) - 1( x+ 2)[/tex]

[tex]⇢2 {x}^{2} - 2x = 2 {x}^{2} + 4x - x - 2[/tex]

Here, [tex]2 {x}^{2} [/tex] from both sides will get cancelled

[tex] ⇢- 2x = 3x - 2[/tex]

[tex]⇢ - 2x - 3x = - 2[/tex]

[tex] ⇢- 5x = - 2[/tex]

[tex] ⇢x = \frac{ - 2}{ - 5} [/tex]

[tex] ⇢ \underline { \boxed{ x = \frac{2}{5} }} [/tex]

Answer:

[tex]x=\frac{2}{5}[/tex]

Step-by-step explanation:

[tex]\frac{2 x}{x+2}-\frac{x}{x-1}=1[/tex]

[tex]\begin{aligned} & \Leftrightarrow \frac{2 x(x-1)}{(x+2)(x-1)}-\frac{x(x+2)}{(x-1)(x+2)}=1 \\& \Leftrightarrow \frac{2 x^{2}-2 x}{(x+2)(x-1)}-\frac{\left(x^{2}+2 x\right)}{(x+2)(x-1)}=1 \\& \Leftrightarrow \frac{2 x^{2}-2 x-\left(x^{2}+2 x\right)}{(x+2)(x-1)}=1 \\& \Leftrightarrow \frac{2 x^{2}-2 x-x^{2}-2 x}{(x+2)(x-1)}=1 \\& \Leftrightarrow \frac{x^{2}-4 x}{(x+2)(x-1)}=1 \\\end{aligned}[/tex]

[tex]\begin{aligned}& \Leftrightarrow x^{2}-4 x=(x+2)(x-1) \\& \Leftrightarrow x^{2}-4 x=x^{2}-x+2 x-2 \\& \Leftrightarrow x^{2}-4 x=x^{2}+x-2 \\& \Leftrightarrow-4 x=x-2 \\& \Leftrightarrow 5 x=2\end{aligned}[/tex]

therefore,

[tex]x=\frac{2}{5}[/tex]

Factor the trinomial 6x²-5x-6, then find the sum of the factors.

Answers

Answer:

5x - 1

Find Factors:

6x²-5x-66x²-9x+4x-63x(2x-3)+2(2x-3)(2x-3)(3x+2)

Factors: (2x-3)(3x+2)

Their sum:

(2x-3)+(3x+2)2x + 3x -3 + 25x - 1
Question : -

Factor the trinomial 6x²-5x-6, then find the sum of the factors .

Given : -

An equation = 6x² - 5x - 6

To Find : -

Sum of their factors .

Concept : -

This question belongs to factorising the trinomial with the help of different methods such as middle term splitting .

Solution : -

[tex] \longrightarrow \: 6x {}^{2} - 5x - 6[/tex]

Now , by splitting the middle term that is - 5 x :

[tex] \longrightarrow \: 6x {}^{2} - 9x + 4x - 6[/tex]

Now , taking 3x and -2 as common :

[tex] \longrightarrow \: 3x(2x - 3) + 2(2x - 3)[/tex]

So ,

[tex] \longrightarrow \: ( 3x + 2 ) ( 2x - 3 )[/tex]

Therefore , factors are ,

( 3x + 2 )

( 2x - 3 )

In the question we have ask to find the sum of their factors . So adding them ,

3x + 2 + 2x - 3

5x - 1

Therefore , 5x - 1 is the sum of the factors .

#Keep Learning

In your own words describe how you would find the volume of a
figure using unit cubes?

Answers

Answer:

Volume = length x width x height.

You only need to know one side to figure out the volume of a cube.

The units of measure for volume are cubic units.

Volume is in three dimensions.

You can multiply the sides in any order.

Which side you call length, width, or height doesn't matter.

Answer:    Volume = length x width x height.

You only need to know one side to figure out the volume of a cube.

The units of measure for volume are cubic units.

Volume is in three dimensions.

You can multiply the sides in any order.

Which side you call length, width, or height doesn't matter.

Step-by-step explanation:

Find the surface area, in square inches, of a cube whose volume is 8 in³.

Answers

Answer:

24 in^2

Step-by-step explanation:

common math

Answer:

Surface area of cube is 24 in²

Step-by-step explanation:

In this question we have given volume of cube that is 8 in³. But we know that volume of cube is a³. So ,

[tex] \implies \: a {}^{3} = 8[/tex]

Now ,

[tex] \implies \: a = \sqrt[3]{8} [/tex]

So , cube root of 8 is ,

[tex] \implies \: \boxed{\bold{a = 2}}[/tex]

Therefore, value of a is 2 inches .

Now , we are finding surface area of cube . We know that surface area of cube is 6a² . So ,

6 ( 2 )²

6 ( 4 )

24

[tex] \pink{ \boxed{ Therefore, \: surface \: area \: of \: cube \: is \: 24 \: in ^{2} }}[/tex]

#Keep Learning

Give the coordinates of each point.

please help thank you

Answers

a-2,6
d-4,6
b-9,6
c-11,6

Answer:

A = (1,6)

B = (4,6)

C = (9,6)

D = (11,6)

Since it is a strait line on six, all the points should have 6 as y. For the x's, just count how much it is away from the y-axis.

What is the solution to the following equation?

5 + 3 (y - 4) = 5 (y + 2) - y

Answers

-17 if you solve for y
Explanation step by step:

3y-4y=10+7

-y=10+7

-y=17

Y=-17

Max has formed an e-pal relationship with Elena in Italy. Max is planning
to visit Elena when she gets to Europe. The two actually live 9,277
kilometers apart. How many miles is this?

Answers

Answer:

Max and Elena live 5764 miles away from each other.

Step-by-step explanation:

One mile is equivelant to 1.6 kilometers.

Answer:

5764.461 miles

Step-by-step explanation:

9,722 kilometers is approximately 5764.461 miles.

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