The shorter leg of a right triangle is two less than the hypotenuse. The longer leg is one less than the hypotenuse. Find all three sides of the triangle. HELP TEST!

Answers

Answer 1

Answer:

x = 5

Step-by-step explanation:

using the Pythagorean theorem:

(x-1)² + (x-2)² = x²

x²-2x+1 + x²-4x+4 = x²

reduce:

2x²-6x+5 = x²

subtract x² from each side:

x²-6x+5 = 0

(x-1)(x-5) = 0

x=1 but because shorter leg would be 0, a triangle would be impossible.

x=5


Related Questions

What are the coordinate pairs of this??

Answers

Hvictdtdyewzfycu y c

Answer:

A is (-4,-3) and B is (6,-5)

Step-by-step explanation:

Please answer this correctly and do not guess or put random stuff. I will report if you do so.

Answers

Answer: y=8x

Explanation: The graph shows a linear relationship.

What is the distance between the points (12, 6) and (−8, 6) on a coordinate plane? *
4 units
12 units
6 units
20 units

Answers

Answer:

im pretty sure it is "4 units"

Step-by-step explanation:

A species of bacteria is 10 micrometers long. A virus is 10,000 times smaller than bacteria. a. Using the table above, find the length of the virus in meters. Write the answer as a power. The virus is meter long

Answers

Answer:

10,000 times less than a micrometer is a 1 nanometer or [tex]10^{-9}[/tex]meters.

Hope this helps!

You and three friends buy 4 movie tickets. Each person buys a $3 popcorn. The total cost is $72. Letx represent the cost of 1 movie ticket Write an equation for
the total cost

Answers

4x + 12 = 72
Mmhmm yes

an equivalent expression for 50 – 35x.

Answers

Answer:

the answer would be 5(10-7x)

Step-by-step explanation:

factors 5 out of 50-35x

hope this helps.

correct me if I'm wrong  

have a good afternoon.

Multiply 11x +3 by 4. What is the
product?

Answers

(11x+3)4

it will be 44x +12

The following are the ages (years) of 5 people in a room:
17, 21, 15, 15, 25
A person enters the room.
The mean age of the 6 people is now 25.
What is the age of the person who entered the room?​

Answers

Answer:

57 years

Step-by-step explanation:

total=25*6=150

17+21+15+15+25+x=150

93+x=150

x=150-93

x=57

Answer:

age=57

Step-by-step explanation:

ages=17 21 15 15 25 ?

17+21+15+15+25=93(old mean)

17+21+15+15+25+?=25(new mean)

25(new mean)*6(number of numbers)=150

?=150-93=57

= 57

What’s the answer???????

Answers

You could use 21x-28

Answer:

21x - 28

You would multiply 7 times 3x which is 21 x and then you would multiply 7 times -4 which is -28.

A total of 629 tickets were sold for the school play. They were either adult tickets or student tickets. There were 71 fewer student tickets sold than adult
tickets. How many adult tickets were sold?

Answers

Answer:

350 adult tickets were sold.

Step-by-step explanation:

let x = number of adult tickets

number of student tickets -> x-71

x - 71 + x = 629

2x - 71 = 629

2x = 700

x = 350

Which fraction is in reduced form?
4/21
42/54
18/27
2/10

Answers

Answer:

4/21

Step-by-step explanation:

4/21 can't be reduced anymore there is no number that goes into 4 and 21 and divides perfectly.

4/21 = 4/21

42/54 = 21/27 = 7/9

18/27 = 6/9 = 2/3

2/10 = 1/5

Select the factors for the quadratic expression 10m2 + 89m − 9.

a
(5m + 9)(2m - 1)

b
(10m + 9)(m + 10)

c
(m - 9)(10m + 89)

d
(m + 9)(10m − 1)

Answers

the correct answer is d.

Solve the inequality.

−3y < −14

Answers

Answer:

y<14/3

Step-by-step explanation:

−3y < −14

dividing both side by -3

-3y/-3 <-14/-3

y<14/3

The solution of the inequality will be equal to y<14/3.

What is inequality?

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given inequality will be solved as,

−3y < −14

Dividing both sides by -3 and solving further.

-3y/-3 <-14/-3

y < 14

To know more about inequality follow

https://brainly.com/question/24372553

#SPJ2

Same as before this test... is just driving me crazy I'm blowing all my points through these so...

Answers

Answer and Step-by-step explanation:

For this, you would need to use the trigonometric function Sine and cosine.

The trig equations are:

sin(θ) = [tex]\frac{opposite - side}{hypotenuse}[/tex]

cos(θ) = [tex]\frac{adjacent-side }{hypotenuse}[/tex]

Let's start with Sine:

sin(60) = [tex]\frac{x}{10\sqrt{3} }[/tex]

Multiply both sides of the equation by [tex]10\sqrt{3}[/tex].

[tex]10\sqrt{3} (sin(60)) = x[/tex]

Input into calculator and solve.

x = 15

Now for Cosine:

cos(60) = [tex]\frac{y}{10\sqrt{3} }[/tex]

Multiply both sides of the equation by [tex]10\sqrt{3}[/tex].

[tex]10\sqrt{3} (cos(60)) = x[/tex]

Input into calculator and solve.

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

x = 15

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

These are the answers.

I hope this helps!

#teamtrees #PAW (Plant And Water)

Step-by-step explanation:

It's a right triangle with one of the angles being 60°. This means that the leftover angle is 30°. This allows me to use the attached screenshot as a reference, so please check it out if you want to understand how to easily solve those types of equations in the future. Anyway, we can specify the hypotenuse as [tex]a[/tex] .

First, let's calculate the value of [tex]y[/tex].

[tex]a[/tex] = [tex]10\sqrt{3}[/tex]

[tex]y[/tex] = [tex]\frac{a}{2}[/tex]

[tex]y[/tex] = [tex]\frac{10\sqrt{3} }{2}[/tex]

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

----

Now, let's get to [tex]x[/tex]

[tex]a[/tex] = [tex]10\sqrt{3}[/tex]

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

[tex]x[/tex] = [tex]\frac{10 \sqrt{3} * \sqrt{3}}{2}[/tex]

[tex]x[/tex] = [tex]\frac{10 * 3}{2}[/tex]

[tex]x[/tex] = [tex]\frac{30}{2}[/tex]

[tex]x[/tex] = [tex]15[/tex]

----

[tex]x[/tex] = [tex]15[/tex] and [tex]y[/tex] = [tex]5\sqrt{3}[/tex]

In a survey of 3,200 people who owned a certain type of car, 1,920 said they would
buy that type of car again. What percent of the people surveyed were satisfied with the car?
% of the people surveyed were satisfied with the car

Answers

Answer: 60%

Step-by-step explanation: 1920/3200=.6  .6 in a percentage is 60%

Do you ever subtract using the z-score?

A) yes
B) no
C) sometimes

Answers

C sometimes, It seems to be completely arbitrary when one must subtract the z-score table value from 1. ... So that's great if you want the left tail of a distribution, but if you want a right tail then you need to calculate the left tail and subtract it from 1 (which is the area of the entire standard normal curve).

Square OPQR is inscribed in triangle ABC. The areas of △AOR, △BOP, △CRQ are 1, 3, and 1, respectively. What is the area of square OPQR?

Answers

Answer:

9 units²

Step-by-step explanation:

We know that ΔCRQ and ΔBOP are right triangles because RQ and OP are perpendicular to CB.

ΔAOR must also be a right triangle because ∠AOR = ∠OBP and ∠ARO = ∠RCQ.

Because of the Angle-Angle-Angle theorem, we know that ΔAOR ≅ ΔBOP ≅ ΔCRQ.

AR/AO = OP/PB

3(1/2)(AR)(AO) = (1/2)(OP)(PB)

PB = 6, OP = 3

3 x 3 = 9 units²

The area of square OPQR is 9 units².

Calculation of the area of square:

Since

ΔCRQ and ΔBOP are right triangles since RQ and OP are perpendicular to CB.

Also,

ΔAOR must also be a right triangle due to ∠AOR = ∠OBP and ∠ARO = ∠RCQ.

So it can be like

AR/AO = OP/PB

3(1/2)(AR)(AO) = (1/2)(OP)(PB)

PB = 6, OP = 3

= 3 x 3

= 9 units²

hence, The area of square OPQR is 9 units².

Learn more about area here: https://brainly.com/question/24703634

what is the ratio for 18 goldfish in a tank of 48 fish simplify the answer please I will give you brainliest

Answers

The correct answer is 3:8

Answer:

Jayhllaaa rember ur best fried Ana I went to different school and it ends at 3:10 I think but 4:00 for sure I don't have wifi but we can talk  thru here tomorrow I think we get the wifi then we talk okayy hewooo by they wayyy  

Step-by-step explanation:

bestiess

What is the average rate of change for the sequence shown below? (1 point)
1(1.4)
(2.2.5)
(3,1)
(4,-0.5)

Answers

Answer:

I believe your answer is required in Rise/Run form.

Rise is -1 and Run is +2

so

-1/2

Step-by-step explanation:

Hope I helped You

A truck travels 333 km in 6 hours. What is the truck’s speed for that trip?

Answers

Answer:

55.5 km

Step-by-step explanation:

speed=distance/time

55.5= 333/6

Answer:

55.5 km per hour

Step-by-step explanation:

The simple formula is D_S-T

D is at the top for Distance

S is down to the left for speed

And T to the right as Time

Its simple so just take

Distance: 333km

Time: 6 hrs

333÷5=55.5/1

Write Expresion as an Exponent
aaabbccccc

Answers

the answer is

a^3b^2c^5

Answer:

a³b²c⁵

Step-by-step explanation:

simply count them

can you please show work​

Answers

Answer:

A) 3.44 ft²

Step-by-step explanation:

before cutouts, the area was 4 x 4 = 16 ft²

the circles have a diameter of 2 ft each, and a radius of 1 ft

each circle has an area pf (3.14)(1²) = 3.14 ft²

3.14 x 4 = 12.56 ft²

16 - 12.56 = 3.44 ft² left

The circumference of the hub cap of a tire is 73.79 centimeters. Find the area of this hub cap. Use 3.14 for π. Use pencil and paper. If the circumference of the hub cap were​ smaller, explain how this would change the area of the hub cap.
The area of this hub cap is about __ square centimeters.

Answers

Answer:

433.5 cm²

Step-by-step explanation:

The formula for circumference is C = 2πr, where r is the radius.

Here, C = 2πr = 73.79 cm.  Solving this for the radius, r, we get:

     73.79 cm

r = ---------------- = 11.75 cm

        2(3.14)

Then the area of the hubcap is A = πr², or, in this case,

A = 3.14(11.75 cm)²  =  433.5 cm²

Answer:

simple answer (and rounded for u) = 434 centimeters squared! hope it helps peeps

Step-by-step explanation:

Simplify the expression.
5 + 18 divided 3x2

Answers

Answer:

3.83333333333

Step-by-step explanation:

Answer:

5+18/(3)(2)

=8

Write as fraction in its lowest form: 0.342 *
1 point
171/500
342/100
34/10
342/10

Answers

171/500....... is the answer

Answer:

171/500

Step-by-step explanation:

im pretty sure it is sorry if wrong.

had a good day?

Find the length of AB.
AB = [ ? ]in

Answers

Answer: About 3.14 inches

this is 8th grade math can someone PLEASE answer number 9

Answers

8) y intercept is (0, 15) or 15

   slope is 10 (the y intercept represents how much it would cost to open an online gaming account and the slope represents how much each game costs after you open an online gaming account, including the $15 fee to open the account)

9) y=10x+15

10) you can look at the graph where it says number of games and go to 6 and go up until you reach the line and look at the side where it says cost (dollars) and then you will see that 6 games cost $75

El mono salta de 2 en 2. El canguro, de 3 en 3. ¿En qué números van a coincidir?, Cuando coinciden la primera vez, ¿Cuántos saltos ha dado el mono?¿y el canguro?

Answers

Answer: El mono saltó 3 veces y el canguro saltó 2

Step-by-step explanation:

Write the recursive formula for this sequence: 3, 1, -1, ... *

Answers

Answer:

the answer is 5-2n please do you get it

what is the explicit formula

Answers

Answer:

a(n) = 13 - 2n

Step-by-step explanation:

The explicit formula variables are a(n) = a(1) + d (n - 1). The a(1) is your number you started out with, and the d is the common difference. From the recursive formula example, you see that your first number is 11 and your difference is -2.

1. Plug the numbers into the equation : a(n) = 11 - 2 (n - 1)

2. Distribute: a(n) = 11 - 2n + 2

3. Add like terms: a(n) = 13 - 2n

If you want to double check, you can plug 1 into n and see if you get 11. I did this, and I did so it should be correct. Hope this made sense! Have a great day :)

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