Which side is the hypotenuse of XYZ

Which Side Is The Hypotenuse Of XYZ

Answers

Answer 1
The hypothenuse is YX. The hypotenuse is always the longest side of a right angled triangle and also the opposite side of the right angle!

Related Questions

In circle o,find the value of x, rounded to the nearest tenth.

Answers

Answer:

[tex]\huge\boxed{x \approx 5.4}[/tex]

Step-by-step explanation:

We can break down this problem by first realizing different parts of the circle.

The line which is 8 units long is a chord of the circle.The line that is 3.6 is almost the radius of the circleThe line that x sits on is the radius.

With this, we can find out if we find the radius of the circle, we have our answer.

We should also note that the angle formed by the 3.6 units long line and the chord is a right angle.

What we need is a way to find the radius of the circle. This will get us x. The radius of a circle will be the length of any line that starts from point O and ends at the circle edge.

If we draw a line connecting the end of the 3.6 line at point O to the end of the 8 unit long chord, we get a triangle! (Image attached for reference).

We can solve for the hypotenuse using the Pythagorean Theorem. This theorem states that:

[tex]\displaystyle a^2 + b^2 = c^2[/tex]

Since we know one side is 3.6, we can use that as A. The second side will be 4 since the 3.6 line lies directly in the center of the chord = 8/2 = 4!

[tex]3.6^2 + 4^2 = c^2[/tex] [tex]12.96+16=c^2[/tex] [tex]28.96=c^2[/tex] [tex]\sqrt{28.96} = c[/tex] [tex]5.4 \approx c[/tex]

Therefore, since this is the radius of the circle (also the hypotenuse), this can be said for any line that comes from point O onto the edge of the circle.

The line X does just that. Therefore, the value of x is also 5.4.

Hope this helped!

What must be the annual payment you receive in order to earn 6.3% rate of return on a perpetuity that has a price of $245.1? (Answer in $s to the nearest cent, i.E. Xx.Xx, with no $-sign or commas needed.)

Answers

Answer:

the  annual payment received is 15.44

Step-by-step explanation:

The computation of the annual payment received is shown below:

As we know that

Perpetuity = Payment ÷ rate of return

$245.1 = Payment ÷ 6.3%

So, the payment is

= $245.1 × 6.3%

= 15.44

Hence, the  annual payment received is 15.44

We simply apply the above formula so that the annual amount could come

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3. What is the value of x? Show your work!
X Х
(9x -13)°
(6x + 23)
10
Answer:
x =

Answers

Answer:

x = 12

Step-by-step explanation:

These are corresponding angles, so they're equal to each other:

9x - 13 = 6x + 23

9x - 6x = 23 + 13

3x = 36

x = 12

HELP ASAP
Select the correct answer.
Select the simplification that accurately explains the following statement.

Answers

The answer to your question is B.

in 3/4 of an hour Ryan codes 3/5 of his game. at this rate how much of the game can he code in 1 hour

Answers

Answer:

In one hour, he can code 4/5, 80%, of the game.

Step-by-step explanation:

If he can code 3/5 of his game in 3/4 hour, 60% in 45 minutes, he can code 20% every 15 minutes.

If the length of the longer leg in a 30°-60°-90° triangle is 5V3, what is the length of the shorter leg?

A. 3
B. 5
C. 5v2
D. 10​

Answers

Answer:

B.   5

Step-by-step explanation:

Let x = length of shorter leg

longer leg = [tex]\sqrt{3}[/tex] times the shorter leg

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

x = 5

Find the value of x.

Answers

Answer:

=147x2+406x−253

Step-by-step explanation:


Find the volume of the cone.

Answers

Please mark me brainliest!!!!
It’s C

Hope this helps!
The answer to you your question is C.

The function y = -16x2 + 1500 gives a parachute jumper's height y in feet
after "X" seconds for a jump from 1500 feet. How long is free fall if the
parachute opens at 1100 feet?

Answers

Answer:

Step-by-step explanation:

so the question is asking about the time from 1500 feet to 1100 feet.  How long did they fall, w/o a parachute.    aka   "freefall"   so,   at 1500 feet the jumper is really at time zero.   so, plug in to the formula

1100 = -16[tex]x^{2}[/tex] +1500  

( x represents seconds so i'll change it to t so we know it's time )  

1100 = -16[tex]t^{2}[/tex] + 1500

now we can solve for t  , to see how long the jumper falls

-400 = - 16[tex]t^{2}[/tex]      ( subtracting 1500 from both sides of equation )

25 = [tex]t^{2}[/tex]      ( dividing both sides by  -16 )

oh.. look at how nice that turns out.. :)

[tex]\sqrt{25}[/tex] = t  ( take the square root on both sides )

5 = t    

the jumper fell for 5 seconds to get to 1100 feet  

Multiply plz

7(8x + 3)

I will mark brianlest if you can answer all of the questions in the pic.

Answers

7(8x+3) = 56x+21
8(8x+4) = 64x+32
4(8x+4) = 32x+ 16
first one is 7(8x+3)=56x+21

this graph shows the temperature in Diego's house between noon and midnight one day

Answers

Answer:

need picture bro

Step-by-step explanation:

An initial investment of 500 compounds continuously at 5% interest ratebe the number of years that the money has been on deposit. Assuming no other deposits are made to the accountwhat will the balance in the account be after years?

Answers

Wait I actually don’t know the answer to this sorry

A triangle with no sides congruent and all angles less than 90° is called a __________ triangle.
equiangular equilateral
acute right
acute scalene
acute isosceles

Answers

Answer:

acute scalene

Step-by-step explanation:

Hope it helps you in your learning process.

The triangle with no sides congruent and all angles less than 90° is called an acute scalene triangle option (C) is correct.

What is the triangle?

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

We have a statement:

A triangle with no sides congruent and all angles less than 90° is called a __________ triangle.

As we know, an acute scalene triangle is a triangle with no congruent sides and all angles smaller than 90 degrees.

Also,

A scalene triangle is one in which each side has a different measure.An isosceles triangle is one in which all sides are equal.An equilateral triangle is one in which all of its sides are equal.

Thus, the triangle with no sides congruent and all angles less than 90° is called an acute scalene triangle option (C) is correct.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ2

find the value of x
9−5x=−8

Answers

Answer:

x= [tex]3\frac{2}{5}[/tex] or x=3.4

Amare drops a probe into a lake. The elevation of the probe changes
by - 13 feet every second. The probe takes 50 seconds to reach
the bottom of the lake. How deep is the lake? Show your work .​

Answers

Answer:

13 x 50 = 650

Step-by-step explanation:

Answer:

75 ft

Step-by-step explanation:

Of the marbles in a​ bag, 5 are blue​, 2 are white​, and 2 are yellow. Sandra will randomly choose one marble from the bag.

Answers

Answer:

[tex]\dfrac{2}{9}[/tex]

Step-by-step explanation:

Given that,

A bag contains 5 blue, 2 white and 2 yellow marbles.

We need to find the probability of choosing a white marble from the bag.

Total no. of outcomes = 5+2+2

= 9

No. of white marbles = 2

Required probability,

[tex]P=\dfrac{2}{9}[/tex]

So, the probability of choosing a white marble is equal to [tex]\dfrac{2}{9}[/tex].

Sheet metal costs $1.88 per square foot. About how much
will Nick spend to cover the outside of the shed, not
including the bottom?

Answers

Answer:

Final Cost: $364.72

Step-by-step explanation:

We can see a picture of the shed attached below. To find the total cost we need to first find the surface area of the entire shed. The sides are rectangles, so to find the surface area we need to multiply the length by the width. Since there are two rectangular sides we multiply the result by 2.

A = L * W

A = 10 * 4.7

A = 47 sq ft. * 2sides

Total = 94 sq ft.

Now we calculate the bottom which is also a rectangle

A = L * W

A = 10 * 8

A = 80sq ft.

Now we need to calculate the surface area of the triangular sides and multiply the results by 2 since there are two triangular sides. The formula for the area of a triangle is half times base times height...

A = 0.5 * B * H

A = 0.5 * 8 * 2.5

A = 10 sq ft  * 2 sides

Total = 20 sq ft

Finally, we need to add the entire surface area and multiply by the cost per square foot to find the total cost.

94 + 20 + 80 = 194 sq ft

194* 1.88 = $364.72

helpppp helping my sister

Answers

Answer:

i wanna say scalene is the first and thrid triangle. The second one is the 5th triangle and the rest go into the last catigorrie

Step-by-step explanation:

What are the coordinates of the midpoint of this
segment?
Type them into the table below

Answers

2+8/2, 2+2/2= (5,2)

ANSWER: (5,2)

A dog is leashed to a point in the center of a large yard, so the area the dog is able of to explore is circular. The leash is 20 feet long (radius). What is the area of the region the dog is able to explore?

Answers

the formula for area is A=pi r^2 so you plug it in A=pi 20^2 = 1256.63 yd^2

If a fair coin is tossed 9 times, what is the probability, to the nearest thousandth, of
getting exactly 4 tails?

Answers

Answer:

9000

Step-by-step explanation:

9+648o30p

Answer:

1000

Step-by-step explanation:

it may not be right but i tried

please help me!! 8th grade math, Pythagorean Theorem

Answers

Answer:

Step-by-step explanation:

-To find the incline do:6^2+14^2=x^2

Than whatever your 6 and 14 equal, find the square root of it

Without calculating, will the product below be greater than, less than, or equal to 5/12

Answers

Answer:

i think it would be less than

Step-by-step explanation:

What is the vertical line that divides the parabola into two equal part?

Answers

Answer:

It would be the y-axis.

Step-by-step explanation:

me and my crips shoot up yo gang homie

Answers

Answer:

u sure abt that?

cuz im the Mandalorian

crips aint got nothing on me and my beskar

THIS IS THE WAY

Carolina va a repartir entre sus estudiantes una barra de chocolate, a Valeria le da 5/18, a Camila le da 1/3, a Carlos 2/9 y a Pedro 1/6. Al ordenar los estudiantes, desde el que recibió más chocolate hasta el que recibió menos, se obtiene:

Answers

Respuesta:

Camila> Valeria> Carlos> Pedro

Explicación paso a paso:

Dado que :

Valeria = 5/18

Camila = 1/3

Carlos = 2/9

Pedro = 1/6

Podríamos convertir las acciones recibidas a decimal para facilitar la comparación:

Valeria = 5/18 = 0,27777

Camila = 1/3 = 0.3333

Carlos = 2/9 = 0,2222

Pedro = 1/6 = 0.16666

Comparando los decimales:

0,3333> 0,2777> 0,2222> 0,16666

Camila> Valeria> Carlos> Pedro

solve each system by substitution
1/2x+1/3y=6
x-y==2

Answers

Step-by-step explanation:

First, let's rewrite the equations.

1/2x + 1/3y =6

x - y = 2

The easiest system to use for substitution is the second one.  Let's solve for X.

x - y = 2

    add y to both sides!

x = 2 + y

Now that we know x = 2 + y we can use it to substitute in the first equation.

1/2(2 + y) +1/3y = 6

1 + 1/2y +1/3y = 6

5/6y = 5

y = 36/5

Find the length of each arc. Use the exact answer

Answers

Answer:

Option D = 16π/3 ft

Step-by-step explanation:

Arc length formula is written Mathematically as:

Arc length = 2πr × θ /360

r = 4 ft

θ = Central angle in degrees = 240°

2 × π × 4 × 240/360

8π × 240/360

8π × 20/30

16π/3 ft

So, the arc length is 16π/3 ft

What additional information could you use to show that ΔSTU ≅ ΔVTU using SAS? Check all that apply.

Answers

Options

A. UV = 14 ft and m∠TUV = 45°

B. TU = 26 ft

C. m∠STU = 37° and m∠VTU = 37°

D. ST = 20 ft, UV = 14 ft, and m∠UST = 98°

E. m∠UST = 98° and m ∠TUV = 45°

Answer:

A. UV = 14 ft and m∠TUV = 45°

D. ST = 20 ft, UV = 14 ft, and m∠UST = 98°

Step-by-step explanation:

Given

See attachment for triangle

Required

What proves that: ΔSTU ≅ ΔVTU using SAS

To prove their similarity, we must check the corresponding sides and angles of both triangles

First:

[tex]\angle UST[/tex] must equal [tex]\angle UVT[/tex]

So:

[tex]\angle UST = \angle UVT = 98[/tex]

Next:

UV must equal US.

So:

[tex]UV = US = 14[/tex]

Also:

ST must equal VT

So:

[tex]ST = VT = 20[/tex]

Lastly

[tex]\angle TUV[/tex] must equal [tex]\angle TUS[/tex]

So:

[tex]\angle TUV = \angle TUS = 45[/tex]

Hence: Options A and D are correct

Its A and D

i just did it on edg

65.6g of sugar is needed to make 8 cakes. How much sugar is needed for 5 cakes?

Answers

Answer:

41 grams

Step-by-step explanation:

Ratios:

[tex]\frac{65.6}{8} =\frac{x}{5} \\\\8x=328\\x=41[/tex]

Answer:

41 Grams of sugar

Explanation:

65.6/8 = 8.2

So means 8.2 grams of sugar per cake then,

8.2 x 5 = 41 grams of sugar

Hope this helps! :)

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