Mathematics High School

The lengths of the legs of a right triangle are 15 cm and 36 cm.

What is the length of the hypotenuse?

A.
57 centimeters

B.
51 centimeters

C.
39 centimeters

D.
21 centimeters

Answers

Answer 1
C. 39 centimeters

15^2 + 36^2 = X^2
=> X^2 = 1521
=> X = 39

Answer 2

Answer: C 39 cm

Step-by-step explanation:

Related Questions

Which law would you use to simplify the expression (x^⁴)⁹ ?

A. product of powers
B. power of a product
C. power of a quotient
D. power of a power

Answers

the answer is
D. power of a power

 
x^⁴)⁹ = (x^4*9)= x^36

if you see this similar format you will recognize the equation as power of a power ^^•


Which of the following is the expansion of (2m - n)7?

Answers

-7n plus 14 ;)


Is what I got.

Answer: 128m⁷ - 448m⁶n + 672m⁵n² - 560m⁴n³ + 280m³n⁴ - 84m²n⁵ + 14mn⁶ - n⁷

Step-by-step explanation:

2023 edge

The polynomial x3 + 8 is equal to

(x + 2)(x2 – 2x + 4).
(x – 2)(x2 + 2x + 4).
(x + 2)(x2 – 2x + 8).
(x – 2)(x2 + 2x + 8)

Answers

The answer is: [A]:  (x + 2) (x² − 2x + 4).
_______________________________
Explanation:
_____________________________
Note the formula:
___________________
a³ + b³ = (a + b) (a² − ab + b²) 
_________________________________
x³ + 8 can be written as x³ + 2³ ; since 2³ = 8
______________________________
So, using the formula:
_____________________
a³ + b³ = (a + b) (a² − ab + b²) ; 
______________________________
x³ + 8 ; or, x³ + 2³ ; can be factored; where a = x and b = 2.
__________________________________
→ Substitute these values for "a" and "b"; and rewrite:
__________________________________
→ x³ + 2³ = (x + 2) (x² - x*2 + 2²) ;
__________________________________
→ Simplify, and rewrite as:
__________________________________
→x³ + 8 = x³ + 2³ = (x + 2) (x² − 2x + 4) ;
__________________________________
→which is our first answer choice, "[A]".
_________________________________________

Answer:

A

Step-by-step explanation:

other guy said it and I got it right.

I am the number that is divided in a division problem

Answers

The answer for this one is called the Dividend.

Find the coordinates for the vertex of the graph of the function y = 3x^2- 12x + 12

Answers

first, you have to put the graph in vertex form by factoring. there is a GCF of 3, so take it out of the equation.
3(x²-4x+4).
now do bottoms up method.
1 × 4= 4, and -4 is the middle number.
-2 and -2 multiply to 4 and add up to -4.
factor: 3(x-2)(x-2). vertex form 3(x-2)²
vetex coordinates: (2,0) 

I am the method of dividing in which multiplies of the divisor are subtracted from the dividend

Answers

The answer is partial quotient.

Serena drove 40 km on 3 L of gasoline. Which of the following would be an equation to help you find out how far she can travel on a full tank of 50 L? Serena drove 40 km on 3 L of gasoline. Which of the following would be an equation to help you find out how far she can travel on a full tank of 50 L?

Answers

So here is the solution to the given problem above.
Given that Serena drove 40km on 3L of gasoline, we can say that she drove 13.33 kilometers per liter of gasoline. Since we want to find out how far she travelled with a full tank of 50L, we will only multiply 13.33 by 50 and we get 666.67 kilometers. So the answer would be 666.67 kilometers for 50 L of gasoline. Hope this helps.

Evaluate 0!÷1!.

0
1
undefined

Answers

UNDEFINED YOU CANT DEVIDE BY 0 MAN

Answer:

it is actually not undefined because of the (!), due to this the answer is 1

Step-by-step explanation:

0! 1 5! 120

1! 1 6! 720

2! 2 7! 5,040

3! 6 8! 40,320

4! 24 9! 362,880

those are the factorial calculations

The radius,
R
, of a sphere is
5.8m
. Calculate the sphere's volume,
V
.
Use the value
3.14
for
π
, and round your answer to the nearest tenth.

Answers

V=(4/3)πr^3
(4/3)*π*5.83≈817.28323 or Rounded to the nearest tenth, 817.3

What is the solution to the equation -2n -2 / 3 =12 ? n =

Answers

the answer is n= -19/3

What is 8/25 as a percentage?

Answers

I think the answer would be 32%

A basketball player is 15 ft horizontally from the center of the basket, which is 10 ft off the ground. At what angle should the player aim the ball if it is thrown from a height of 8.2 ft with a speed of 29 ft/s ?

Answers

the direction of path should be inclined at and angle of
sin (theta) = (10 - 8.2)/ 15 = 3 / 25
this angle is the ratio of the vertical displacement of the projectile and the horizontal displacement of the projectile.time taken to reach the top most point can found out by by using the formula v = u + at in the vertical direction 
intial velocity in vertical direction = 29 sin (theta)
final velocity in vertical direction = 0 
acceleration in vertcal direction = - 32 ft / s^2   so u will get the time to be 29 sin (theta) / 32
vertical displacement = [29 sin (theta)] [(29 sin ( theta)/32)] - (1/2)32 [(29 sin (theta)/32)]^ 2 
horizontal displacement = [29 cos ( theta )] * 29 sin (theta) / 32
vertical displacement /   horizontal displacement=   3/25 
if u substitute the values u will get tan (theta) = 6 / 25

The Shelby University rose garden is a rectangular shape with an area of 192 square feet. The dimensions of the garden are x^2 feet wide by x^2– 61 feet long. How wide is the garden?
a. 3 feet c. 64 feet
b. 8 feet d. 131 feet
...?

Answers

c. 64 ft

x² = 64
(64 - 61) x 64 = 192

AT THANKSGIVING DINNER, EMMA'S FAMILY ATE 1/3 OF A PUMPKIN PIE. WHAT FRACTION OF THE PIE WAS LEFT OVER?

Answers

3/3-1/3=2/3 of pie is left over

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Total pumpkin in fraction = 1

= 1 - 1/3

= 2/3

The fraction of the pie left over is 2/3

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Amount of pumpkin pie eaten by the family = 1/3

Let the total pumpkin in fraction = 1

Now,

The fraction of the pie left over.

= 1 - 1/3

= (3 -1)/ 3

= 2/3

Thus,

The fraction of the pie left over is 2/3

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45 equals the quotient of a number n and 3

Answers

This means that n=45(3), which is 135.
Final answer:

The equation representing the student's question is 45 = n / 3. To find n, we multiply both sides by 3, resulting in n = 135.

Explanation:

The student's question, "45 equals the quotient of a number n and 3," can be translated into a mathematical equation. The word 'quotient' indicates a division operation. We set up the equation as 45 = n / 3.

To find the value of n, we multiply both sides of the equation by 3, giving us 3 * 45 = n. Therefore, n equals 135. The solution to this problem demonstrates how to manipulate an equation to solve for an unknown variable.

In this question, 45 is equal to the quotient of a number, represented by n, and 3.

We can represent this equation as:

45 = n / 3

To find the value of n, we can multiply both sides of the equation by 3:

45 * 3 = n

Therefore, n is equal to 135.

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Solve the inequality.

y – 5 ≥ 11

Answers

y - 5 ≥ 11

Add 5 to the both sides,

y - 5 + 5 ≥ 11 + 5

y ≥ 16

Hope this helps!

The solution to the inequality y - 5 ≥ 11 is y ≥ 16.

To solve the inequality y - 5 ≥ 11,

we need to isolate the variable y on one side of the inequality sign.

Adding 5 to both sides of the inequality, we have:

y - 5 + 5 ≥ 11 + 5

Simplifying, we get:

y ≥ 16

Therefore, the solution to the inequality y - 5 ≥ 11 is y ≥ 16.

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Suppose that there were a negative correlation between the variables a and b. If b is 90 when a is 8, which of these is most likely to be the value of b when a is 16?
A. 105
B. 120
C. 90
D. 45

Answers

I think this is D.45 but not to sure about that

Answer:

45 is correct

Step-by-step explanation:

2-5|5m-5|=-73 absoute value

Answers

solutions i found was  m=4 or  m=-2

Wouldn't the answer be m=4 or m=−2..




Five boxes of candles contain a total of 60 candles. each box holds the same number of candles.

Answers

divide 60 by 5 and you get 12 candles

Answer:

60/5=12

Step-by-step explanation:

a student finds the slope of a line between (14,1) and (18,17). she writes 1-17/18-14 what mistake did she make?

Answers

she substract 18 from 14 she supposed to subtract 14 from 18

Answer:

Mistake was in denominator.

Step-by-step explanation:

If a line passes through two points ( a, b ) & ( c, d )

Then slope of this line will be = [tex](\frac{d-b}{c-a})[/tex]

Now we come to the question.

a student finds the slope of a line passing through ( 14, 1 ) and ( 18, 17 ) as

slope = [tex](\frac{1 - 17}{18-14})[/tex]

This formula is not the form of [tex](\frac{d-b}{c-a})[/tex]

Accurate answer should be

slope = [tex](\frac{1-17}{14-18})[/tex]

So mistake was in denominator.

You know that a certain trait occurs in 30% of the population. You want to know how many individuals you have to draw from the population, on average, to get three subjects with the trait.

Answers

Final answer:

To find out how many individuals you have to draw from the population, on average, to get three subjects with the trait, you can use the geometric distribution. The average number of trials until the third success can be calculated by dividing 1 by the probability of success.

Explanation:

To find out how many individuals you have to draw from the population, on average, to get three subjects with the trait, you can use the geometric distribution.

The probability of success (finding an individual with the trait) is 30% or 0.30, and the probability of failure is 70% or 0.70.

To calculate the average number of trials until the third success, you divide 1 by the probability of success:
1 / 0.30 = 3.33

Therefore, on average, you would have to draw from the population about 3.33 individuals to get three subjects with the trait.

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If m arc AB = 120°, then which of the following have measures of 60°? (pick as many as you want)

a)∠ADB
b)∠ACD
c)∠BCA
d)∠BAD
e) m arc BC

Answers

<BCA, <ADB, measures 60 degrees.

The correct answers are:

a)∠ADB; and c)∠BCA.

Explanation:

The measure of an intercepted arc is twice as much as the measure of its inscribed angle. AB corresponds with both ∠ADB and ∠BCA. Since the arc is 120°, each angle would be half of that, or 60°.

When you add the number 1, and then add 1, what do you get??

Answers

1+1=??? to figure this out use pictures:
pretend 'a' is 1. That means:
 a+a=aa
 Now how many 'a' are there in the answer. There are 2
There for the answer is 2

An electrician charges a $50 house call fee and $65 per hour for work

Answers

Can't fully answer this because there is no question just information but to solve your question as best as possible the equation is:

A=65x + 50

A= Answer
X = number of hours

A mall distribution center processes as many as 150,000 pieces of mail each day. The mail is sent via ground and air. Each land carrier takes 2000 pieces per load and each air carrier 1500 pieces per load. The loading equipment is able to handle as many as 200 loads per day.

Let x be the number of loads by land carriers and y the number of loads by air carriers. Which system of inequalities represents the situation?

Options:
1500x+2000y>=150,000 x+y>=200
2000x+1500y>=150,000 x+y>=200
2000x+1500y<=150,000 x+y<=200
1500x+2000y<=150,000 x+y<=200 ...?

Answers

2000x+1500y<=150,000 x+y<=200
is the correct option

Answer: [tex]2000x+1500y\leq150,000[/tex]

[tex]\Rightarrow x+\leq200[/tex]

Step-by-step explanation:

Let x be the number of loads by land carriers and y be the number of loads by air carriers.

Given: A mall distribution center processes as many as 150,000 pieces of mail each day.

Each land carrier takes 2000 pieces per load and each air carrier 1500 pieces per load.

[tex]2000x+1500y\leq150,000[/tex]

The loading equipment is able to handle as many as 200 loads per day.

[tex]\Rightarrow x+\leq200[/tex]

Hence, the system of inequalities represents the situation is

[tex]2000x+1500y\leq150,000[/tex]

[tex]\Rightarrow x+\leq200[/tex]

Which is greater 2 gallons or 8 liters?

Answers

1 gallon equals to 3.79 litres approximately
so 2 gallons=7.58 litres , therefore 8 litres are greater than 2 gallons

susan wants to buy a paddle boat for $840. She will pay 20% down and pay the rest in six months installments. what will be the amount of each monthly payments?

Answers

What she will pay first :
840/100 x 20 = 168
The amount remaining for her to pay
840 - 168 = 672
Amount to pay every month :
672/6 = 112

Susan's down payment for the paddle boat is $168, with the remaining $672 divided into six monthly payments of $112 each.

Susan wants to buy a paddle boat for $840. She will pay 20% down and the rest in six monthly installments. To calculate the down payment, we calculate 20% of $840, which is $168.

The remaining amount after the down payment is $840 - $168 = $672. This remainder will be paid in six monthly installments, so we divide $672 by 6 to get the monthly payment amount.

The amount of each monthly payment will therefore be $672 / 6 = $112 per month.

Therefore, as per the above explaination, the correct answer is $112.

A first number plus twice a second number is 13 twice the first number plus the second totals 20 find the numbers

Answers

Call the first number A and the second number B. 
A + 2B = 13
2A + B = 20
Solve these equations. You will get the equation
3B = 6. Therefore, B = 2.
Put this into either of the equations to find that A = 9. You can then check by putting A = 9 and B = 2 into both the equations to see if it is true. In this case, it is. Therefore, the solution is A = 9, B = 2. 

A = 9, B = 2. 

The slope of a line is 0, and the y-intercept is 6. the equation, written as y = 6, represents a horizontal line. true false

Answers

The answer is: true.

Here's why:

A slope of 0 indicates a horizontal line, meaning there's no change in y-value as x changes.

A y-intercept of 6 means the line intersects the y-axis at the point (0, 6).

The equation y = 6 represents a constant y-value for any x, which indeed depicts a horizontal line that intersects the y-axis at (0, 6).

Therefore, both the slope and the equation confirm that the line is horizontal.

explain how to solve the following system of equations. what is the solution to the system? 2x+2y+z =-5
3X plus 4Y plus 2Z = zero
X plus 3Y plus 2Z= zero

Answers

please insert your equation number
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