What is the perimeter of a right triangle if the hypotenuse is 15 centimeters and one of the legs is 9 centimeters?
Answers
Answer:
The perimeter of a triangle is the sum of the lengths of all its sides. In a right triangle, the length of the hypotenuse is the longest side, and the other two sides are called legs.
Given that the hypotenuse is 15 centimeters and one of the legs is 9 centimeters, we can use the Pythagorean theorem to find the length of the other leg. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. Therefore, we can write the equation:
c^2 = a^2 + b^2
where c is the length of the hypotenuse and a and b are the lengths of the legs. Substituting the given values, we get:
15^2 = a^2 + 9^2
225 = a^2 + 81
144 = a^2
a = 12
So, the length of the other leg is 12 centimeters. The perimeter of the triangle is the sum of the lengths of the three sides, which is 15 + 9 + 12 = 36 centimeters.
Answer:
36 cm
Step-by-step explanation:
First, we have to find the length of the other leg using the Pythagorean theorem.
For that, let the length of the missing leg be x.
Let us find it now.
x² + 9² = 15²
x² + 81 = 225
Subtract 81 from both sides.
x² = 225 - 81
x² = 144
x = √144
x = 12 cm
So, the length of the missing side is 12 cm.
Now, let us find the perimeter of the triangle.
For that, you can simply add the lengths of three sides.
P = 15 + 9 + 12
= 36 cm
Related Questions
Daryl made 26 out of his last 32 free throws. What is the experimental probability that he will make his next free throw?
Answers
Answer:
81.25%
Step-by-step explanation:
Answer: C. 81.25%
Step-by-step explanation:
We know that Daryl has 32 free throws, and he already made 26 of them. To turn this into a percentage, we need to multiply 26/32 by 100.
To make it easier, 26/32 is equal to 13/16.
13/16 times 100 is equal to 81.25!
Roy wants to buy a new wireless phone for $200.two stores offer different payment options.which plan has a greater initial value?which phone will be paid for at a faster rate?
Answers
Answer:
the option with the graph has a higher initial value
Step-by-step explanation:
this is because the initial value of store B is $50, and the initial value of store A is $150
help me with this topic pls!
no wrong answers allowed :(
Answers
SOLVE: 4³ + 6 · (4² - 3²) Please help .
Answers
Answer:
70
Step-by-step explanation:
see attached image for sol
First to simplify the problem by squaring he numbers that need to be squared
64+6(16-9)
Then follow PEMDAS, and finish the equation that is inside the parenthesis.
64+6(7)
Then multiply 6 and 7.
64 + 42
Then add.
106.
Mandy and steve spend the same amount of money in a arcade, nothing playing the same number of games. Mandy played $0.50 games and spent $10 on food. Steve played $0.75 games and spend $6 on food. How many games did each person play?
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Answer:
Step-by-step explanation:
for telling which number is greater, which one is greater 99.9% or 1 ???
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Answer:
99.9%
Step-by-step explanation:
1⇒ 1×10^0
99.9 % ⇒ 999*10^-1
1:999*10^-1
10:999
Therefore it is clear that 99.9% is greater
So it is greater bc on a pie graph, it shows more and it will always be greater… doesn’t matter if it still needs the +1%
hey!! im not rlly good at this stuff and im trying to help out a friend, can one of u guys give me the answers to this?
Answers
Answer:
Step-by-step explanation:
use the protracter and the ruler to cunstruct this triangle
step 1: take a base line and use the protracter to draw a 150 degree angle
step 2: one the other side of the base draw a 15 degree angle and join till it reaches the 150 degree angle
Answer:
Step-by-step explanation:
Here, the red angles are both 15 degrees and the left one is 150. Don't get confuse on what I made. It's just the proof
A gymnast joined a yoga studio to improve his flexibility and balance. He pays a monthly fee and a fee per class he attends. The equation y = 30 + 10x represents the amount the gymnast pays for his membership to the yoga studio per month for a certain number of classes.
Which graph represents this situation?
graph with the x axis labeled number of classes and the y axis labeled monthly amount in dollars and a line going from the point 0 comma 30 through the point 1 comma 20
graph with the x axis labeled number of classes and the y axis labeled monthly amount in dollars and a line going from the point 0 comma 30 through the point 1 comma 40
graph with the x axis labeled number of classes and the y axis labeled monthly amount in dollars and a line going from the point 0 comma 10 through the point one third comma 0
graph with the x axis labeled number of classes and the y axis labeled monthly amount in dollars and a line going from the point 0 comma 10 through the point 1 comma 40
Answers
Option (A) Graph with the x axis labeled number of classes and the y axis labeled monthly amount in dollars and a line going from the point 0 comma 30 through the point 1 comma 20.
Step-by-step explanation:The graph of the linear equation y = 20 + 10x for the given scenario is attached below.
The Cartesian coordinates of a specific point on the Euclidean plane can be thought of as each solution inside the scenario involving two variables.
A linear equation's solutions define a line inside the Euclidean plane, and each line may be viewed as the aggregate of all solutions to a linear model with two variables. This is how this category of equations came to be known as "linear." The solutions to a system of equations with integer variables collectively constitute a hyperplane in the Euclidean space with size n. (a subdomain of dimension n₁).Because linear equations may frequently accurately represent non-linear systems, they are used extensively in all branches of mathematics as well as in physics and engineering.Here the equation is given as y = 20 + 10x
Therefore at x = 0 , y = 20 and at y = 0, x = -2
This represents that the fixed monthly fee is 20 and the daily fee is 10.
Hope my answer helps you.
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Please don’t delete my answer if it is incorrect.
PLEASE HELP FAST Simplify
A/5a x 2b/3b
Answers
help ASAP. Seventh grade math!!
In February of 2006, there was a
record snowfall of 26.9 inches in one
day in New York City. The normal
snowfall for the month of February in
New York City is 8.5 inches and March
is 5.1 inches. How much more snow
fell in the one day storm in 2006 than
normally falls in February and March
combined
Answers
Answer:
13.3
Step-by-step explanation:
Since 8.5 fell in February and 5.1 fell in March. We can add these two numbers together to see what the total is combined normally.
8.5 + 5.1 = 13.6
The record was 26.9, so we'll take this number and subtract it from 13.6 to see how much more fell in one day than the normal
26.9-13.6= 13.3
SHOW 2 DIFFERENT WAYS TO FACTOR
[tex]-\frac{11}{2}x[/tex] + [tex]\frac{1}{2} - \frac{7}{2} y[/tex]
BTW!! [tex]-\frac{11}{2}x[/tex] is NEGATIVE
Answers
Answer:
the fraction is 3(x + 4)
Step-by-step explanation:
what is 46 divided by 107
Answers
Answer:
0.42990654205
Step-by-step explanation:
Answer: 46/107 or 0.429907 in decimal form
Step-by-step explanation:
(JUST FOR FUN IM OFFERING POINTS) 6 divided by 4995
Answers
Answer:
4995/6 = 832.5
Wait, or is it supposed to be:
6/4995= 0.0012012012
Step-by-step explanation:
Hope it helps! =D
Brainliest please??
Answer:
0.0012012012
Step-by-step explanation:
i don't know why you did this but ok
help me please with this
Answers
Answer:
Your answer will be 72.
Step-by-step explanation:
You add the two numbers that you are given. This will get you 108. Next you subtract that from 180. 180-108=72
hurry please help dont know what im doin
Answers
y = x + 3
Miguel and three of his friends went to the movies. They originally had a total of $40. Each boy have the same amount of money they spent $7.50 on a ticket. How much money did each boy have left after buying his ticket. (Just answer the question in the picture please)
Answers
Answer:
$2.50
Step-by-step explanation:
$40.00 divided by 4 friends equals $10.00 each.
$10.00- $7.50= $2.50
Hope this helps!!!
this spinner is spun one time. what is the probability of the arrow not landing on a section with an even number?
Answers
Answer:4/7
Step-by-step explanation:there are 7 spaces on the spinner 4 of which are not even numbers, therefore it would be 4/7
Find the length of the third side. If necessary, round to the nearest tenth.
Answers
Help pls. Worth 20 pts
Answers
Answer:
[tex]108\pi[/tex]
Step-by-step explanation:
Since a cone is 1/3 the volume of a cylinder with equivalent dimensions, we can answer this question by multiplying the given cone volume by 3.
[tex]36\pi \cdot 3 = 108\pi[/tex]
hey!! im not rlly good at this stff and im trying to help out a friend, can one of u guys give me the answer to this question?
Answers
what is the x-axis and y-axis
Answers
Answer:
The two perpendicular lines on a coordinate grid. The horizontal axis is usually called the x-axis. The vertical axis is usually called the y-axis. The point where the x- and y-axis intersect is called the origin.
Step-by-step explanation:
Hope it helps! =D
Answer:
The line which is horizontal on the graph is x-axis and the vertical line that is y-axis
Step-by-step explanation:
please help!!!
I need a answer asap!
Answers
Answer:
y=2x
Step-by-step explanation:
HELP ME PLEASE WORTH A LOT OF POINTS!!
Answers
Answer:
13.625
Step-by-step explanation:
Which of the following points could you remove so that the resulting graph is the graph of a function?
A. (-2, -3)
B. (-1, -5)
C. (0, 5)
D. (1, -3)
Answers
Answer: b
Step-by-step explanation:
Simply by clearing parentheses and combining like terms
Question:
1/2 (4+6x)+8
Answers
There are two numbers. The first number minus the second number is 15. one-third of the sum of the numbers is one quarter of the first number. what are the numbers?
Answers
Answer:
First number: 12
Second number: -3
Step-by-step explanation:
First, let's establish some variables:
x= first number
y= second number
Now, let's turn what is told to us into equations:
The first number minus the second number is 15
x - y = 15
One-third of the sum of the numbers is one quarter of the first number
1/3 ( x + y ) = 1/4 ( x )
Now, let's use the first equation given to us to find x in terms of y:
x - y = 15 [Add y to both sides]
x = y + 15
Next, we will take the value of x we found and plug it into the second equation:
1/3 ( x + y ) = 1/4 ( x ) [Plug in x]
1/3 ( {y + 15} + y ) = 1/4 ( {y + 15} ) [Combine like terms]
1/3 ( 2y + 15 ) = 1/4 ( {y + 15} ) [Distribute on both sides]
(2/3)y + 5 = (1/4)y + 15/4 [Subtract 15/4 from both sides]
(2/3)y + (5/4) = (1/4)y [Subtract (2/3)y from both sides]
5/4 = (-5/12)y [Multiply both sides by -12/5]
-3 = y
Since we have now found the value of y, let's plug it into our first equation to find the value of x:
x - y = 15 [Plug in y]
x - (-3) = 15 [Simplify]
x + 3 = 15 [Subtract 3 from both sides]
x = 12
So, our first number must be 12 while our second number is -3.
If this answer helped you, please leave a thanks or a Brainliest!!!
Have a GREAT day!!!
Answer:
-12 and 3
Step-by-step explanation:
Let first no. be x
First number - Second number = 15
So, x - 2nd no. = 15
Second number = 15 + x
First number = x
Now, One-third of the sum of numbers is = [tex]\frac{x+(15+x)}{3} = \frac{15+2x}{3}[/tex]
One-quarter of first number = [tex]\frac{x}{4}[/tex]
Now,
[tex]\frac{15+2x}{3} = \frac{x}{4}[/tex]
= 4(15+2x) = 3x
= 60 + 8x = 3x
= 60 = -5x
= -12 = x
Hence, First number = -12
Second number = -12 + 15 = 3
Check:
[tex]\frac{15-24}{3} = \frac{-12}{4}[/tex]
= [tex]\frac{-9}{3} = -3[/tex]
= -3 = -3
Hence, proved!
Hope it helped. Pls mark me the BRAINLIEST!
PLEASE HELP!!!
-8(-3/4s - 6) Find the product.
Answers
Answer:
6s+48
Step-by-step explanation:
[tex]\displaystyle -8\biggr(-\frac{3}{4}s-6\biggr)=(-8)\biggr(-\frac{3}{4}s\biggr)+(-8)(-6)=6s+48[/tex]
Answer:
6s+48
Step-by-step explanation:
-3/4 x -8 = 6
6s+ (6 x -8)
6s+48
????????????????????????
Answers
Answer:
C. 19.2
Step-by-step explanation:
a^2 + b^2 = c^2
1. x + 7.8² = √428.49 (20.7²)
2. x + 60.84 = √428.49
3. - 60.84 -60.84
4. x = √367.65
5. x = 19.174
What is the z axis? I know the x and y axis but not the z
Answers
Answer:
z axis is usually drawn vertically on a graph of at least three dimensions.It show the range of value of variable dependent
what's 7360 divided by 10000
Answers
Answer:
Step-by-step explanation:
0.736