Answer:
Yes
12, 35, 37
16, 30, 34
20, 21, 29
No
18, 24, 42
Step-by-step explanation:
Required
Determine which length form a right triangle
To do this, we make use of Pythagoras theorem where the square of the largest length = the sum of the squares of the other lengths
So:
(1) 12, 35, 37 --- Yes
[tex]37^2 = 35^2 + 12^2[/tex]
[tex]1369 = 1225 + 144[/tex]
[tex]1369 = 1369[/tex]
(2) 16, 30, 34 --- Yes
[tex]34^2 = 16^2 + 30^2[/tex]
[tex]1156 = 256 + 900[/tex]
[tex]1156 = 1156[/tex]
(3) 18, 24, 42 --- No
[tex]42^2 =18^2 + 24^2[/tex]
[tex]1764 =324 + 576[/tex]
[tex]1764 =900[/tex]
[tex]1764 \ne 900[/tex]
(4) 20, 21, 29 -- Yes
[tex]29^2 = 20^2 + 21^2[/tex]
[tex]841= 400 + 441[/tex]
[tex]841= 841[/tex]
Based on the Pythagorean Triple, "12, 35, 37", "16, 30, 34" and "20, 21, 29" will form a right triangle(YES), while "18, 24, 42" will not (NO).
What is the Pythagorean Triple?The Pythagorean triple can be described as any three set of integers representing sides of a right triangle that are solutions to the Pythagorean Theorem, which is given as:
c² = a² + b².
c is the longest side of the right triangle or largest of the set of integers of the Pythagorean triple.
Thus, find out which set of lengths will form a right triangle:
12, 35, 37 will form a right triangle, because:
37² = 35² + 12²
1,369 = 1,369
Also, the rest set of lengths will form a right triangle except, "18, 24, 42".
Thus, based on the Pythagorean Triple, "12, 35, 37", "16, 30, 34" and "20, 21, 29" will form a right triangle(YES), while "18, 24, 42" will not (NO).
Learn more about Pythagorean Triple on:
https://brainly.com/question/11994763
If x^3+y^3−12xy+64=0, what is the value of x+y?
Answer:
I don't know
Step-by-step explanation:
I don't really know but if you want help with math questions try this website called wolfram alpha. It's great
Are two rays with the same endpoint called opposite rays? (Geometry)
Step-by-step explanation:
A pair of opposite rays are two rays that have the same endpoint and extend in opposite directions. Rays are always named with two points and the first point in the name must be the endpoint. So, when you name opposite rays, the first letter in the name of both rays must be the same.
3(4) divided by ( 14-5 ) x 2
Answer:
it is 2.6 that is the answer
Easy Points for people.
If 12 ounces of almonds cost $2, how much do 18 ounces of almonds cost?
Brainliest will be given to first answer.
Answer:
$3
Step-by-step explanation:
$2 = 12oz
$1 = 12oz ÷ 2
= 6oz
18oz ÷ 6oz = 3
3×1$ = 3$
Please help me!
[One Step Inequalities]
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¿ sᴉɥʇ ǝʌlos noʎ uɐɔ
[tex] {x}^{2} = 225[/tex]
¿ x puᴉɟ
Answer: Final Answer
x=15,x=−15
Step-by-step explanation:
yes, i can solve it.
x = 15
☆o(^▽^)o☆
Ta-Da
An annual zoo pass costs $43.25 per person. If the zoo earned $3762.75 by selling passes, write an
equation to find the total number of people (p) who bought a pass.
If f(x) = 2x - 1 and g(x) = x2 – 3x - 2, find (f+ g)(x).
Answer:
Step-by-step explanation:
x^2 - 3x - 2 + 2x - 1
x^2 - x - 3
answer is C
HELPPPP PLEASE!!!don’t answer js for points.
Answer:
$ 50
Step-by-step explanation:
sp = mp - discount percent of mp
or, 42 = mp - 16/100 * mp
or, 42 = 84 mp / 100
so, mp = 50
Answer:
100 - 84
50 - 42
original price=$50
Louis wants to buy skis that have a regular price of $328. They have been marked down 25% off the regular price. Louis
calculates the new total price including tax. How much money will Louis save on the total cost because of the markdown?
Answer:
$82
Step-by-step explanation:
make 25% into a decimal which equals .25, then do 328. x .25 which equals $82
Need Help With This ASAP
As part of a survey, 500 boys were asked to name their favorite car. The results showed that 30 of the boys named a Corvette as their favorite car. What percentage of the boys in the survey named a Corvette as their favorite car?
A-6%
B-0.6%
C-60%
D-40%
A 25,000 gallon swimming pool is being filled. Two hundred and fifty gallons are in it after 30 minutes. How many hours will it to take to fill the pool?
Answer: 50 hours
Step-by-step explanation:
Given
The volume of a swimming pool is [tex]25,000[/tex] gallon
It takes 30 minutes to fill [tex]250\ \text{gallons}[/tex]
Using Unitary method
[tex]\Rightarrow 250\ \text{gallon takes}\rightarrow 30\ \text{minutes}\\\Rightarrow 1\ \text{gallon takes}\rightarrow \dfrac{30}{250}\\\\\Rightarrow 25,000\ \text{gallon}\rightarrow \dfrac{30}{250}\times 25,000=3000\ \text{minutes or 50 hours}[/tex]
Joey went to a toy show at the local community center. He bought action figures and trading cards. He spent a total amount of $34.04. He spent $4.22 on the trading cards. He bought 6 action figures that cost the same amount. What equation can be used to determine the cost,a,of each action figure?
12. John is driving at 35 mph and speeds up to 45 mph in one hour. What is John's acceleration?
13. If an object is at rest and starts to move at 8 m/s in 2 seconds What is the objects acceleration?
14. If an object is moving at 8m/s and slows down to a stop in 2 seconds. What is the objects acceleration?
MacBook Air
A newspaper and magazine cost 220 together the newspaper cost 140 less than the magazine find the cost of each
A newspaper and magazine cost 220 together the newspaper cost 140 less than the magazine, then the cost of magazine is 180 and the cost of newspaper is 40.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
A newspaper and magazine cost 220
the newspaper cost is 140 less than the magazine
Let x be the cost of magazine
x-140 is the cost of newspaper
x+x-140=220
2x-140=220
Add 140 on both the sides
2x=220+140
2x=360
Divide both sides by 2
x=180
and x-140=180-140=40
Hence, the cost of magazine is 180 and the cost of newspaper is 40.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ5
principal = $200
interest rate = 4%
time = 2 years
Answer:
200÷0.4= the amount then times by 2
Step-by-step explanation:
i believe thats how that works
In This equation what is the common ratio f(x) = 10 x 3^x
9514 1404 393
Answer:
3
Step-by-step explanation:
The ratio is ...
f(x+1)/f(x) = (10·3^(x+1))/(10·3^x) = 3^(x+1-x) = 3^1 = 3
The common ratio is 3.
_____
As you may have noticed, it is the base of the exponential term.
A student correctly added the two two-digit numbers on the left of the board and got the answer 137. What answer will she obtain if she adds the two four-digit numbers on the right of the board?
AB + CD=137
ADCB +CBAD =?
Answer:
im sry but i need halppppp with this
Step-by-step explanation:
I need help ASAP please
Answer:
It's actually B
Step-by-step explanation:
The measures of the sides are x , x , and x√2 . In a 45°−45°−90° triangle, the length of the hypotenuse is √2 times the length of a leg. To see why this is so, note that by the Converse of the Pythagorean Theorem , these values make the triangle a right triangle.
So x = 4 in this example and the side measures would be 4, 4, and 4√2 which is B
The measures 4, 5, and 7 create a right triangle. True False
False.
Hope This Helps You!
Good Luck Studying ^-^
Answer:
False
Step-by-step explanation:
Help with 8 pls thanks
Answer:
m<Y = 68°
Step-by-step explanation:
A tangent drawn to a circle makes a 90° angle with the radius that intersects it at the point of tangency. That means that m<X = 90°.
The sum of the measures of the angles of a triangle is 180°.
m<X + m<Y + m<Z = 180
90 + m<Y + 22 = 180
m<Y + 112 = 180
m<Y = 180 - 112
m<Y = 68
What values of x and y make BCD ~UST?
Step-by-step explanation:
c a
How much fluid can a solid measuring 10 feet long, 12 feet wide, by 5 feet deep hold? do i need to multiply them all?
Answer:
Persuming your asking for volume, 600 ft³
Step-by-step explanation:
If your asking for volume, just multiply all of them
PLEASE HELP!!
You and your 8 friends decide to draw straws for a prize. There are 8 long straws and 1 short straw. Describe how the theoretical probability of drawing the short straw changes as each friend picks a straw.
Answer:
the total of straw are going to be 9 and there will be a 1/9 chances of getting the short straw. while each friend picks a straw the probability of getting a short straw is going to be higher because the amount of straws are going to be lessened.
The mall is 6 miles west of the highway. The hospital is 12 miles west of the mall. How far, and in what direction, is the hospital from the highway?
Answer: 18 miles west
Step-by-step explanation:
The mall is west of the highway.
The hospital is then west of the mall.
If the hospital is west of the mall which is already to the west of the highway, the Hospital must be west of the highway as well.
The hospital is 12 miles west of the mall which is then 6 miles west of the highway. As they are both west, it is a continuous distance and we can simply add their distances up and assume the distance is linear.
The distance between the hospital and the highway is therefore:
= 12 + 6
= 18 miles west
Answer all of these questions please and you will get 100 points!
Answer:
The first one is the first picture.
The second answer is zero.
I don't know how 2 do the 3rd sry
Step-by-step explanation:
during the first part of a hike, Andre drank 1.5 liters of the water he brought. If this is 50% of the water he brought, how much water did he bring?
3 liters
6 liters
9 liters
12 liters
Answer:
50/100 x X = 1.5
x 100 x100
50x = 150
÷50 ÷50
X = 3
X = 3 liters I am pretty sure
The height of a square pyramid is 15 centimeters. The sides of its base measures 6 centimeters. What is the volume of the pyramid?
Answer:
180cm^3
Step-by-step explanation:
Given data
Height b=15 cm
Base a= 6cm
The expression for the volume of a pyramid is
V=a^2h/3
Substitute
V= 6^2*15/3
V= 36*5
V=180cm^3
Hence the volume is 180cm^3
Functions f(x)16x^2
G(x) 1/4 sq root x
Answer:
x
x
are the same
Step-by-step explanation:
when you plug in g(x) into f(x)
f(x)=16((1/4)(x)^.5)==x
then vice versa
g(x)=(1/4)((16x^2)^.5)==x
They are the same and, therefore, inverses of each other.