In a right-angled triangle, the hypotenuse is 113 and a leg is 112.
Determine the length of the other leg.

Answers

Answer 1

Answer: 15

Step-by-step explanation: Use the formula: [tex]a^{2}+b^{2}=c^{2}[/tex]

Remember [tex]c^{2}[/tex] should always be the hypotenuse or the longest side.

[tex]112^{2}+b^{2}=113^{2}[/tex] ---> evaluate the exponents

[tex]12544+b^{2}=12769[/tex] ----> subtract 12544 to the other side

[tex]b^{2}=225[/tex] ---> take the square root of both sides

[tex]b=15[/tex]


Related Questions

A Jar contains n nickels and d dimes. There are 22 coins in the jar, and the total value of the coins is $1.55.
How many nickels and how many dimes are in the jar? (Hint: Nickels are worth $0.05 and dimes are worth
$0.10.)
There are
nickels and
dimes in the jar.

Answers

They is 9dime and 13 Nickels because 13 x5=65 and 9 x10=90 .So 0.65+ 0.90= 1.55.

Isaiah brought two dozen donuts to a class party. Half of the donuts had vanilla frosting with sprinkles, 2 had strawberry frosting with cream filling, and the rest had chocolate frosting with sprinkles. what fraction of the donuts had sprinkles?​

Answers

Answer: 22

Step-by-step explanation:

Two dozen equals 24, divide it in half leaves 12 vanilla sprinkle doughnuts

the remaining 12 minus the 2 strawberry cream equals 10 chocolate sprinkles

add the 10 chocolate plus 12 vanilla to get 22

Find the missing side of the triangle leave answer in simplist radical form

Answers

Answer: x = 3 √21

Step-by-step explanation:

you gotta use our good, old, trusty friend pythagorean theorem.

a^2 + b^2 = c^2

x^2 + 6^2 = 15^2

x^2 = 15^2 - 6^2

x^2 = 189

x = √189

x = √27 · 7

x = 3 √3 · 7

x = 3 √21

Find the following difference. Change
into addition to find your answer.
a-b=-17 -(-6)=

Answers

-17+6 = -11 (two negatives create a positive)

Help me with this question id u can pls

Answers

Answer:

1. principal × rate× time. 250×.03×1

2. $7.50

3. $30.00

ONE PUNCH!
(Three! Two! One! Kill shot!)
Appearing! Certain victory! The strongest of all time!!
What're you saying? FRUSTRATION, nobody can stop me
ONE PUNCH! It's over! One victory after another!
I shout out!! I'm always victorious!! Total victory!!

Power! Get the power! Right up to the limit

HERO, I don't want voices praising me or an ovation
HERO, so I fight against evil in secret
(Nobody knows who he is.)
Foes are closing in and covering the sky. I won't turn my back on them
If I am a HERO, then I'm prepared with unwavering resolve, unleashing my fist

(Three! Two! One! Fight back!)
Appearing! Go on! Fair and square!!
What's going on? I can't feel a thing, my opponents are all gone!

JUSTICE! Enforcement! No point arguing about it!
I'll cut it off!! Cut off evil!! Hands together in prayer!!

Power! Get the power! ADRENALINE's overflowin'!
Power! Get the power! Strike with force with my disciplined technique!

HERO, even the strongest guys used to be tiny brats
HERO, I overcome my weaknesses and become stronger
(Nobody knows who he is.)
I just raise my fists, with the gods dwelling in them, and push onward
HERO, until I taste the dirt of defeat some day, a fighting HERO

I won't give up; I picture the future in my heart
I awaken and go to the world now, soaring high and strong
At all times, no matter what happens

HERO, I don't want voices praising me or an ovation
HERO, so I fight against evil in secret
(Nobody knows who he is.)
I just raise my fists, with the gods dwelling in them, and push onward
HERO, until I taste the dirt of defeat some day, a fighting HERO
A lonely HERO

I wanna be the strongest HERO!

Answers

Answer:

cool

Step-by-step explanation:

i think you got anger issues dude

Answer:

...ok.. (╯ಠ_ಠ)╯︵ ┳━┳

Step-by-step explanation:

Are you the person I friended on brainlyz?

PLEASE HELP!!!! WILL GIVE BRAINLIEST TO BEST ANSWER!

Refer to the graph to the right and follow the directions in parts​ (a) through​ (f)
(a) is a>1 or is 0 (b) Give the domain and range of f and the equation of the asymptote
(c) Sketch the graph of g(x)=-a^x
(d) Give the domain and range of g and the equation of the asymptote
(e) Sketch the graph of h(x)=a^-x
(f) Give the domain and range of h and the equation of the asymptote

Answers

Answer:brainless plz

Step-by-step explanation:

(a) Sketch the graph with equation y = f(x), showing the coordinates of the points where the ... Given that f(x) = e ... (b) Write down the range of f. ... Right-hand branch in quadrants 4 and 1.

Mr. Jackson had two jobs in 2005. The first job, in which he earned $74,007 was from January to August, and the second job, in which he earned $35,311 was from August to the end of the year. Because he worked two jobs he over paid his Social Security. How much should he be refunded?

Answers

9514 1404 393

Answer:

  $1,197.71

Step-by-step explanation:

The 6.2% Social Security tax applied to the first $90,000 of earnings in 2005, so Jackson is due to be refunded the tax he paid on more than that amount.

  6.2% × (74,007 +35,311 -90,000) = 6.2% × 19,318 = $1,197.71

Jackson should receive a Social Security tax refund of $1,197.71.

_____

Comment on rounding

The tax on 74,007 will be rounded down, as will the tax on 35,311. So, the overpayment value calculated here needs to be rounded down to correspond to the actual to-the-penny amount of overpayment.

Find the slope of the line that passes through (4, 11) and (7,4).​

Answers

Answer:

m=-7/3 I think thats the right answer

What is the value of x in x + 129 = 237?

Answers

Answer:

108

Step-by-step explanation:

237-129= 108

hope it helps

Answer:

x= 108

Step-by-step explanation:

use inverse operations to subtract 129 from both sides

x+129=237

   -129   -129

x=108

Eliana drank. 2/4 of bottle of sprite,katty drank 1/2 of the bottle,how much of sprite did they drink in all?

Answers

Answer:

they drank 1 bottle of sprite in all

Answer:

1

Step-by-step explanation:

2/4=1/2

1/2+1/2=1

A study is run comparing HDL cholesterol levels between men who exercise regularly and those who do not. The data are shown below.

Generate a 95% confidence interval for the difference in mean HDL levels between men who exercise regularly and those who do not.

Answers

Answer:

Hello your question is incomplete attached below is the missing part of the question

Regular Exercise           N                             Mean                          Std Dev

Yes                                35                             48.5                                12.5

No                                  120                           56.9                                11.9

answer : ( -12.968, -3.832 )

Step-by-step explanation:

To generate a 95% confidence interval

first step :

Assume population variance is equal we will calculate the number of degrees of freedom

df = n1 + n2 - 2 = 35 + 120 -2 = 153

second step:

Given : critical value = 0.05 , df = 153

hence Tc = 1.976

assuming the population variance is equal calculate pooled std as ( attached below )

Sp = 12.036

third step :

calculate the standard error

Se = [tex]Sp\sqrt{\frac{1}{n1} +\frac{1}{n2} }[/tex]

n1 = 35

n2 = 120

Sp = 12.036

hence Se = 2.312

final step

Compute the 95% confidence interval = ( -12.968, -3.832 )

attached below is the detailed solution

A charity bingo game costs $2 per round and has a $13 entry fee for an adult. It costs $3 per round and a $10 entry fee for a child. For how many rounds of bingo are the costs the same for an adult and a child?
2
3
4
5

Answers

Answer:

B=3

Step-by-step explanation:

Use a graphing calculator and type in these toe equations

y=2x+13

y=3x+10

and the point they intersect will say (3,19) and the answer is 3

For 3 rounds of bingo, the costs will be the same for an adult and a child option second is correct.

What is linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

A charity bingo game costs $2 per round and has a $13 entry fee for an adult. It costs $3 per round and a $10 entry fee for a child.

Let's suppose, for x rounds of bingo, the costs will be the same for an adult and a child.

For x rounds, cost for adult:

= 2x + 13

For x rounds, cost for child:

= 3x + 10

2x + 13 = 3x + 10

x = 3

Thus, for 3 rounds of bingo, the costs will be the same for an adult and a child option second is correct.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

PLSSSSSS HELP MEE ASAP

Answers

Answer:

What's the question?

Step-by-step explanation:

Your struggling with

Question 1: Write each of the following percentages as fractions.
If possible, simplify each answer
(a) 3%
(b) 14%
(c) 66%
(d) 10%
(e) 17%
(f) 30%
(g)50%
(h) 25%
(i) 15%
(j) 29%
(k) 16%
(l) 44%
(m) 99%
(n) 85%
(0) 52%
(p) 80%
(q) 60%
(r) 20%
(s) 5%
(t)72%
(u) 98%
(v) 2%
(w) 88%
(x) 15%
Question 2: Write each of the following percentages as fractions.
If possible, simplify each answer.
(a)111%
(b) 130%
(c) 150%
(d) 110%
(e) 125%
(f) 165%

Answers

Answer:

1. 3%=3/10

2. 14%=7/50

3. 66%=33/50

4. 10%=1/10

5. 17%=17/100

6. 30%=3/10

7. 50%=1/2

I need help with this pls

Answers

Answer:

Im looking for this answer to lol

Step-by-step explanation:

10. What is the value of the expression
-8.5 x 4.72 ?

Answers

Answer:

-40.12

Step-by-step explanation:

Please help ASAP it’s due tomorrow

Answers

Answer: b

Step-by-step explanation:

Answer:

A. The open circle pointing to the right

Step-by-step explanation:

Can someone answer this

Answers

Answer:

Step-by-step explanation:

-11= p-9

P= 11-9

P=2

What is -7/12 + 3/8?

Answers

Answer:

oi

Step-by-step explanation:

I need help with this question ASAP.

Answers

Answer:

The answer is that Topsoil costs 10$ more than mulch.

When we look at the equation y=20x, we see that for one cubic yard, it costs 20$. when we look at the graph, we see that for one cubic yard it costs 30$ for topsoil, therefore, Topsoil is $10 more than mulch for each cubic yard.

expression for the area of the rectangle shown. (A = length x
Simplify
width) *
8x - 2.
4

Answers

4(8x-2)
Distribute the 4
So it should be 32x-8

Hope it helps

Carlos tried to find a fraction equivalent to 2/3. Below is his work. Which
statement describes Carlos' error?
2/3=2/3 x 1/4=2/12




He should have divided by 1/4.
He incorrectly multiplied 2/3 and 1/4.
It is impossible to find a fraction equivalent to 2/3.
He did not multiply 2/3 by a fraction equal to 1.

Answers

Answer:

He did not multiply 2/3 by a fraction equal to 1.

Step-by-step explanation:

For example he could have multiplied 2/3 by 4/4

= 2*4/3*4 = 8/12,

Pls help I’m failing

Answers

Answer:

Decrease by 13%

Step-by-step explanation:

You've sold 101 rooms, 98 rooms, and 102 rooms over the past 3 days. You have 116 rooms available. What is your average occupancy for the past three nights?

Answers

Answer:

The average occupancy rate for the past three nights is of 86.49%.

Step-by-step explanation:

We want to find the average occupancy rate, as a percentage.

You've sold 101 rooms, 98 rooms, and 102 rooms over the past 3 days.

So the mean number of rooms sold during the past 3 days is given by:

[tex]A = \frac{101 + 98 + 102}{3} = \frac{301}{3} = 100.33[/tex]

Average rate:

[tex]R = \frac{100.33*100}{116} = 86.49[/tex]

The average occupancy rate for the past three nights is of 86.49%.

Jane receive a $80 gift card for a coffee store .She used it and buying some coffee that cost $7.82 per pound after buying a coffee she had $33.08 left on her car at many pounds of coffee did she buy ​

Answers

Answer:

she bought 6 pounds of coffee

Step-by-step explanation:

80 minus 33.08=46.92

46.92÷7.82=6

so the answer is 6

I need help I don’t understand this

Answers

Answer:

Step-by-step explanation:

lets say "a" for the empty line,

for small triangle; y^2 = 2^2 + x^2

right triangle; we say a for empty line, a^2= 6^2 + x^2

and big triangle covering both triangles, 8^2 = y^2 + a^2

lets add left sides and right sides in each;

x^2 + 4 + x^2 + 36 + y^2 + a^2 = y^2 + a^2 + 64 and we can delete same things for both sides

y^2 and a^2 can be deleted and 4+36 - 64

2(x^2)=24

x^2= 12

and x will be √12

so, y^2 = x^2 + 2^2 which means y^2 = 12+4 y=16

A certain breed of mouse was introduced onto a small island with an initial population of 350 mice, and scientists estimate that the mouse population is doubling every year.
(a) Find a function N that models the number of mice after years,
(t) =
(b) Estimate the mouse population after 9 years.
mice

Answers

a is function N
b us the estimated mouse population after 9 years

Answer:

Step-by-step explanation:

1. 350 * 2^t

2. plug in 9 in that equation

Find all zeros of f(x) = x4 + 5x2 – 36 by completely factoring the polynomial.

f(x) = x4 + 5x2 – 36 = (x2 – 4) (x2 + 9) =

List the four zeros of the function.

Real zeros: +

Complex zeros:

Answers

Answer:

Real Zeros    x = ±4

Complex zeros :  x = ±3 i

Step-by-step explanation:

Explanation

f(x) = x⁴ + 5x² – 36

f(x) = x⁴ + 5x² – 36

    = (x²)² + 9 x² - 4 x² - 36

   = x² (x² + 9) - 4( x² +9)

   = (x² -4 ) (x² +9)

f(x) = x⁴ + 5x² – 36 = (x² -4 ) (x² +9)

(x² -4 ) (x² +9) = 0

⇒ x² -4  = 0 and x² +9 =0

⇒ x² -2² = 0  and  x² = -9

⇒ x = ±4   and   x = ±3 i

Real Zeros    x = ±4

Complex zeros :  x = ±3 i

The ratio of boys to girls at a winter dance is 5 to 6. If there
are 90 girls, how many boys are at the dance?
Select one:
150
75
60
108

Answers

Answer:

75

Step-by-step explanation:

if there were 5 boys to 6 girls then multiply the 6 by 15 to get 90 then multiply the 5 by 15 as well and you get 75 to 90.

Answer:

108

Step-by-step explanation:

first divide 5 into 90 wich equals 18

then add to 90 which equals 108

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