if the hypotenuse of an isosceles right triangle has a length of 5 centimeters what is the length of one of the legs

Answers

Answer 1

Answer:

a =b = [tex]\frac{5\sqrt{5} }{5}[/tex]

Step-by-step explanation:

[tex]a^{2} +b^{2} = 5 ^{2}[/tex]

a = b

[tex]2a^{2} = 5 ^{2}[/tex]

[tex]2a^{2} = 25\\[/tex]

[tex]a^{2} = \frac{25}{5}[/tex]

a = [tex]\frac{5}{\sqrt{5} }[/tex]

must rationalize...

a =b = [tex]\frac{5\sqrt{5} }{5}[/tex]


Related Questions

Two teams are playing basketball. At the end of the game,
Team A scores 72 points and Team B's score is 125% of Team
A's. How many points does Team B score?

Answers

Team B score will be 162 points

Answer: 90 points

Step-by-step explanation:

Team A's score = 72 points

Team B's score = 125% of A's

= 90 points

please click thanks and mark brainliest if you like :)

From the Rule y = -4x+1 fill in the following table

Answers

Answer:

y: 1, -3, -7, -11, -15

Step-by-step explanation:

Substitute the value of x in the chart for the formula given:

y = -4x + 1

For the first column in the x-row, do the following

y = -4(0) + 1

y = 1

And...

y = -4(1) + 1

y = -3

And so on.

I’m so confuseddddd

Answers

Answer:

i think second number.

not sure but i think that's the answer

If 4 tickets to a show cost $17.60, what is the cost of 7 such tickets.

Answers

Answer:

30.80

Step-by-step explanation:

We can use a ratio to solve

4 tickets              7 tickets

-------------------  = ----------------

17.60 dollars           x dollars

Using cross products

4x = 17.60 * 7

4x =123.2

Divide each side by 4

4x/4 = 123.2/4

x=30.8


i need help anybody ?

Answers

Answer:

16.7

Step-by-step explanation:

In a right triangle, a²+b²=c², with c representing the hypotenuse. In a right triangle, the hypotenuse is the side opposite of the right angle, or the angle symbolized by the square. Here, the right angle is opposite of the side with a length of 20, so we can say that

c = 20

Therefore,

a²+b² = 20², with a and b representing the other two sides*. Because 11 is given as another side, we can say

11² + b² = 20²

121 + b² = 400

subtract 121 from both sides

279 = b²

square root both sides

b = √279 ≈ 16.7 as the third side

* for our purposes, it does not matter which side is a and which side is b

Factor 15x3 – 5x² + 6x – 2 by grouping. What is the resulting expression?

Answers

answer:
16 - 21x
step-by-step explanation:
15 x 3 - 5x^2 + 6x - 2
add like terms
15 + 3 - 2
-5^2
-25 + 6
- 21
16 - 21x
The evaluated equation would be −5xsquared+6x+43

1/4(12x – 16) = 4 is equivalent to 3x – 16 = 4.
O False
O True

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

O False

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Simplifying the Equation Given...}}\\\\\frac{1}{4}(12x-16)=4 \\---------------\\\\\rightarrow \left \{ {{\frac{1}{4} * 12 = 3} \atop {\frac{1}{4}*-16 = -4}} \right.\\\\\rightarrow \boxed{3x - 4 = 4}\\\\\\\rightarrow\boxed{3x - 4 = 4\neq 3x - 16 = 4} \leftarrow\\\\\text{The 'simplified' equation is not distributed correctly.}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Please help right now ASAP!!!make sure your right

Answers

Answer:

Step-by-step explanation:

after 2 years the population of a town will be 33620 at the population growth rate of 2.5% pa find the present population of the town.​

Answers

Answer:

Step-by-step explanation:

The standard form of an exponential equation is [tex]y=a(b)^x[/tex] where y is the final count of the population after some time, x, goes by; a is the initial or starting amount of people (our unknown), and b is the growth rate. For us, y is 33620, the time is x = 2 years, and the growth rate is .025; but if we are growing we are expanding on the amount that we started with, so b = 100% + 2.5% = 102.5% and in decimal form, 1.025.

[tex]33620=a(1.025)^2\\33620=1.050625a[/tex] so

a = 32000

The initial population is 32000

Find the sum of a 22-term arithmetic sequence, where the first term is 7 and the last term is 240.

Answers

Answer:

The sum of the arithmetic series is 2717.

Step-by-step explanation:

The sum of an arithmetic sequence is given by:

[tex]\displaystyle S = \frac{k}{2}\left( a + x_k\right)[/tex]

Where k is the number of terms, a is the initial term, and x_k is the last term.

There are 22 terms, the first term is 7, and the last term is 240. Hence, the sum is:

[tex]\displaystyle \begin{aligned} S &= \frac{(22)}{2}\left((7) + (240)} \\ \\ &= 11(247) \\ \\ &= 2717\end{aligned}[/tex]

In conclusion, the sum of the arithmetic series is 2717.

Hellllpppppp PLLLEASE! I need answer RIGHT NOW!!!!

Answers

Answer:

0.25 as a fraction is 25/100, which further simplified becomes 1/4

How much would $600 invested at 8% interest compounded continuously worth after 3 years?

Answers

Answer:

[tex]a \: = \: pe ^{rt} [/tex]

[tex]a = 600e^{(.08)(3)} [/tex]

[tex]a = 762.75 \: dollars[/tex]

Since the question stated that the interest is compounded continuously, we know that Euler number is required

Find the factors of 2×^2 +3×

Answers

Answer:

x(2x+3)

Step-by-step explanation:

rewrite in factored form

2x^2+3x

x(2x+3)

What is the solution of ?

Answers

Answer:

The answer to your question would be x=12. Equation is worked out below

Step-by-step explanation:

5 /2 x−7= 3 /4 x+14

5 /2 x-3/4x − 7 =  3 /4 x-3/4x +14

7/ 4 x−7=14

7 /4 x−7+7=14+7

7/ 4 x=21

do the opposite of 7/4x (division)

7/4 / 7/4x = 21 / 7/4

4/7 / 7/4x (cross each other out) = 21 / 4/7

x=12

Answer:

[tex] \frac{5}{2}x - 7 = \frac{3}{4} x + 14 \\ \frac{5}{2} x - \frac{3}{4} x = 14 + 7 \\ \frac{7}{4} x = 21 \\ x = \frac{21 \times 4}{7} \\ x = 12[/tex]

I hope I helped you^_^

Which of the relations given by the following sets of ordered pairs is a function?

Select one:

a.
{(2,4),(2,6),(2,8),(2,10),(2,12)}


b.
{(−5,−4),(−4,−3),(−3,−2),(−4,−5),(−2,−1)}


c.
{(0,3),(−6,8),(−3,5),(0,−3),(7,11)}


d.
{(8,1),(−4,1),(3,5),(0,4),(−1,2)}

Answers

Answer:

d.{(8,1),(−4,1),(3,5),(0,4),(−1,2)} - function

Step-by-step explanation:

a.{(2,4),(2,6),(2,8),(2,10),(2,12)}

Each value of x goes to more than one value of y- this is not a function

b. {(−5,−4),(−4,−3),(−3,−2),(−4,−5),(−2,−1)}

The value of x at -4 goes to more than one value of y- this is not a function

c.{(0,3),(−6,8),(−3,5),(0,−3),(7,11)}

The value of x at 0 goes to more than one value of y- this is not a function

d.{(8,1),(−4,1),(3,5),(0,4),(−1,2)}

 Each value of x goes to only one value of y- this is a function

Monica wants to save at least $399 to buy a new laptop computer. She has $284 saved
already. Which option below will allow her to have enough money to buy the computer?
a. She spends $22 and earns $93.
b. She is given $38 and earns $42.
c. She spends $82 and earns $94.
d. She earns $580 and spends $422.

Answers

Answer:

D. She earns $580 and spends $422.

Step-by-step explanation:

The option of Monica earning $580 and spending $422 will allow her to have enough money to buy the new computer.

First, add $580 to the $284 that she already has saved:

284 + 580

= $864

Then, subtract $422 from this:

864 - 422

= $442

So, this option will leave her with $442. Since she only needed to save at least $399 to buy the computer, this means she has enough money for it.

The option that will let her buy the computer is D. She earns $580 and spends $422.

YOU HAVE A GARDEN HOSE AND A 0.5 LITER CONTAINER AND A 0.3 LITER CONTAINER. YOU NEED TO MEASURE OUT 0.1 LITER OF WATER. HOW DO YOU DO IT

Answers

Answer:

Fill up the .3 container and then pour it into the .5

fill up the .3 again and fill up the .5 ... if all is poured in the .5 will overflow over the top.

stop when the .5 is totally full... only .3 will fit... the liquid left in  the .3 will be .1

Step-by-step explanation:

Which function can be used to find r, the total amount the teacher pays in dollars when
z scissors are ordered?

A teacher is ordering scissors for her classroom.

• the teacher pays a one-time fee of $8.

• the teacher also pays $2 for each pair of scissors ordered.

Answers

r = 2z + 8
To find the total, 2 times the number of scissors plus 8 for delivery

when x=1,2,3,.... find limit x->infinity
choice
a. 0
b. 1
c. 2
d. 3
f. 4
help me!!!

Answers

Let y = √x, so the limit can be rewritten as

[tex]\displaystyle \lim_{y\to\infty}\left(\frac{\sqrt{y^6+y^2}}{y^2+3} - \frac{\sqrt{y^4+1}}{y+4}\right)[/tex]

Now,

[tex]\sqrt{y^6+y^2} = \sqrt{y^2\left(y^4+1\right)} = y\sqrt{y^4+1}[/tex]

so we can rewrite the limit further as

[tex]\displaystyle \lim_{y\to\infty}\left(\frac{y}{y^2+3} - \frac1{y+4}\right)\sqrt{y^4+1}[/tex]

Combine the rational terms:

[tex]\dfrac y{y^2+3} - \dfrac1{y+4} = \dfrac{y(y+4)-(y^2+3)}{(y^2+3)(y+4)} = \dfrac{4y-3}{(y^2+3)(y+4)}[/tex]

Then in the limit, we get

[tex]\displaystyle \lim_{y\to\infty}\frac{(4y-3)\sqrt{y^4+1}}{(y^2+3)(y+4)} = \lim_{y\to\infty}\frac{(4y^3-3y^2)\sqrt{1+\dfrac1{y^4}}}{y^3+4y^2+3y+12} \\\\ = \lim_{y\to\infty}\frac{\left(4-\dfrac3y\right)\sqrt{1+\dfrac1{y^4}}}{1+\dfrac4y+\dfrac3{y^2}+\dfrac{12}{y^3}} = \boxed{4}[/tex]

please help i’ll mark brainliest

Answers

Answer:

x=0

x=6

x=-1

Step-by-step explanation:

x(x^2-5x-6)

x(x-6)(x+1)

x=0

x=6

x=-1

bananas baby bannana

can a triangle have two right angles ?explain​

Answers

A triangle can never have 2 right angles. A triangle has exactly 3 sides and the sum of interior angles sum up to 180°

Answer:

a triangle is a closed polygon that consists of three sides and three angles,and it's one of the basic shape that we basic shape that we knowing geometry.

3(-4x - 3) + 50 - 5= 0

Answers

Answer:

-12x-9+50-5=0

-12x+41-5=0

-12x+36=0

-12x=0-36

x= -36/-12

x = 3 Answer...

hope it helps

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

[tex]3(-4x - 3) + 50 - 5= 0[/tex]

⇒ Subtract 50- 5 from both sides:-

[tex]3\left(-4x-3\right)+50-5-\left(50-5\right)=0-\left(50-5\right)[/tex]

[tex]3\left(-4x-3\right)=-45[/tex]

⇒ Divide both sides by 3:-

[tex]\frac{3\left(-4x-3\right)}{3}=\frac{-45}{3}[/tex]

[tex]-4x-3=-15[/tex]

⇒ Add 3 to both sides:-

[tex]-4x-3+3=-15+3[/tex]

[tex]-4x=-12[/tex]

⇒ Divide both sides by -4:-

[tex]\frac{-4x}{-4}=\frac{-12}{-4}[/tex]

[tex]x=3[/tex]

OAmalOHopeO

HELP PLEASE !!


find the surface area of the cylinder and round it to the nearest tenth.​

Answers

Answer:

18.8

Step-by-step explanation:

Surface area=2*pi*r*(r+h)=2*pi*1*(3)=18.8

help me
its geometry

Answers

Answer:

A = 216.24 km²

Step-by-step explanation:

Given the proportion (a/b) = (c/d), solve for c.

Answers

Answer:

c = da/b

Step-by-step explanation:

a/b = c/d

a/b x d = c

c = da/b

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Find the interquartile range of the data set that consists of 3, 11, 4, 3, 10, 6, 4, 5.

A. 3.5
B. 5.75
C. 4.5
D. 8

Answers

Answer:

I am thinking it's c

I am not sure

Answer:

25th Percentile: 3.5

50th Percentile: 4.5

75th Percentile: 8

= Interquartile Range: 4.5

I think it shows it's '4.5'.

C

twice n
Algebraic expression

Answers

Answer and Step-by-step explanation:

2n is the algebraic expression for twice n.

#teamtrees #PAW (Plant And Water)

If 2 < 20x - 13 < 3. what is one possible value for x?

Answers

Answer:

one possible value for x is 31/40

Step-by-step explanation:

Let's isolate the 20x term.  Add 13 to all three terms:

2 + 13 < 20x - 13 + 13 < 3 + 13

and this simplifies to:

15 < 20x < 16

Dividing all three terms by 20, we get:

15/20 < x < 16/20

A fraction halfway between 15/20 and 16/20 is (31/20)/2, so

one possible value for x is 31/40.

Check by substituting this into the original equation and checking whether that equation is now true:

2 <20(31/40) - 13 < 3

or

2 < 31/2 < 16, or 2 < 15.5 < 16 (this is true, so 31/40 is a solution)

If p and q are all positive integers and the maximum integer not greater than
31p/8q is 5, find the
minimum value of p +q .

Answers

Answer:

71

Step-by-step explanation:

As per question we have:

p > 0, q > 031p/8q ≤ 5 ⇒ 31p ≤ 40q

Since 31 and 40 have no common factors, the minimum values of p and q are 40 and 31 respectively.

So the minimum value of p + q is:

40 + 31 = 71

1. What will be the sale price of the tennis racquet once the discount has been applied?

2. What is 25% of $12?

3. Which answer shows the discounted sale price for this tablet?

Answers

Answer:

150 is the answer of your question. I HOPE IT WILL HELP YOU.

Answer:

1) $150

2) $3

3) $150

Step-by-step explanation:

1) 25% times $200=$150

2) 25% times $12= $3

3) Half of $300 is $150, which 50% off is half off.

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