Which side lengths form a right triangle?
Choose all answers that apply.
A. square root of 2, square root of 3, square root of 4
B. square root of 8, 3, square root of 17
C. 5, 6, 8
Answers
Answer: choice B
Explanation: Go through each answer choice and try the Pythagorean theorem to see if it works. This is because a right triangle’s side lengths are described by the Pythagorean theorem. one side^2 + second side^2 = longest side^2. In a right triangle, this equation will be true. Let me show you what I mean
For answer choice A:
(root 2)^2 + (root 3)^2 = (root 4)^2
2 + 3 = 4
5 = 4
5 does not equal 4. Therefore it cannot be A.
For answer choice B:
(root 8)^2 + (3)^2 = (root 17)^2
8 + 9 = 17
17 = 17
this is true! therefore this is a right triangle and it’s B
Dimensions √17, 3, and √8 are the dimension of the right triangle. Thus, the correct option is B.
What is a Pythagoras theorem?If the dimension satisfies the Pythagorean equation, then the triangle is a right-angle triangle.
The Pythagoras theorem states that the sum of two squares equals the squared of the longest side. The Pythagoras theorem formula is given as,
H² = P² + B²
Let's check the second option, then we have
(√17)² = 3² + (√8)²
17 = 9 + 8
17 = 17
Thus, the correct option is B.
More about the Pythagoras theorem link is given below.
https://brainly.com/question/343682
#SPJ2
Related Questions
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answers
Answer:12x^3y^5
Step-by-step explanation:
Answer:
[tex]\huge\boxed{12x^3y^5}[/tex]
Step-by-step explanation:
[tex]4x^2y^3\times3xy^2=(4\cdot3)(x^2\cdot x)(y^3\cdot y^2)=12x^{2+1}y^{3+2}=12x^3y^5[/tex]
A cardboard box, which weighs 0.6 pound when empty, is filled with 15 bags of beans and a 4-pound bag of rice. The total weight of the box and the contents inside it is 25.6 pounds. One way to represent this situation is with the equation 0.6 + 15b + 4 = 25.6. 1.In this situation, what does the solution to the equation represent? 2.Select all equations that are also equivalent to 0.6 + 15b + 4 = 25.6. Equation A: 15b + 4 = 25.6 Equation B: 15b + 4 = 25 Equation C: 3(0.6 + 15b + 4) = 76.8 Equation D: 15b = 25.6 Equation E: 15b = 21
Answers
Answer:
Equation E, Equation B, Equation C are equivalent
Step-by-step explanation:
Given Equation:
0.6 + 15b + 4 = 25.6
Check all that applies
Equation A: 15b + 4 = 25.6
0.6 + 15b + 4 = 25.6
15b + 4 = 25.6 - 0.6
15b + 4 = 25
NOT CORRECT
Equation B: 15b + 4 = 25
0.6 + 15b + 4 = 25.6
15b + 4 = 25.6 - 0.6
15b + 4 = 25
CORRECT
Equation C: 3(0.6 + 15b + 4) = 76.8
0.6 + 15b + 4 = 25.6
Multiplying both sides by 3
(0.6 + 15b + 4) ×3 = 25.6 × 3
(0.6 + 15b + 4) ×3 = 76.8
CORRECT
Equation D: 15b = 25.6
0.6 + 15b + 4 = 25.6
NOT CORRECT
Equation E: 15b = 21
0.6 + 15b + 4 = 25.6
15b = 25.6 - 0.6 - 4
15b = 21
CORRECT
Equation E, Equation B, Equation C are equivalent
After throwing away the rotten tomatoes, did Sheldon get more kilograms of strawberries or tomatoes? How many more kilograms?
Answers
Step-by-step explanation:
since he threw out tomatoes he has more kilograms of strawberries then tomatoes
Please help me with this question!
Raoul rode an elevator up e floors. He entered the elevator on the 5th floor and exited on the 34th floor. Which equation shows an equality between two different ways of expressing the floor Raoul exited?
A.) 34 = 5 + e
B.) 34 = e - 5
C.) 34 = 5 - e
D.) 34 = 5e
Thank you for your time!~
Lots of love for you~ <3
Answers
Answer:
The answer would be c
Step-by-step explanation:
In a class of 65 students, 10 students liked Maths but not English and 20 students liked
English but not Maths. If 5 students did not like both, how many students liked both subjects?
Answers
Answer: 30 students liked both.
step-by-step explanation: If there are 65 students and 10 liked math but not english you subtract 10 from 65, you get 55. You continue to the next one, 55-20= 35, now there are 35 students but 5 of those students don't like either, so 35-5=30, meaning there are 30 students that like both english and math. I hope this helps.
2. A formula for the perimeter of a rectangle is P = 2(l + w), where P is the perimeter, l is the length, and w is the width.
If the length of a rectangle is 34 centimeters and the width is 12 centimeters, what is the perimeter?
a. 78 cm b. 105 cm c. 85 cm d. 92 cm
Answers
Answer:
d. 92 cm
Step-by-step explanation:
P = 2(34 + 12)
P = 2(46)
P = 92
Answer:
is it d or 92
Step-by-step explanation:
What is the simplified form of 1 over x minus 2 over x squared minus x ? (1 point)
x minus 1 over the quantity x times x plus 1
1 minus x over the quantity x times x plus 1
3 minus x over the quantity x times x minus 1
x minus 3 over the quantity x times x minus 1
Answers
Answer:
3y times the quantity 2x minus 1 over x times the quantity x minus 2
Step-by-step explanation:
Answer:
3y times the quantity 2x minus 1 over x times the quantity x minus 2
Step-by-step explanation:
what is (2x+3)+(x+4)
Answers
Answer: 3x + 7
Step-by-step explanation:
Answer:
3+7
Step-by-step explanation:
Eliminate redundant parentheses
(2+3)+(+4)
2+3++4
Add the numbers
2+3++4
2+7+
Combine like terms
2+7+
3+7
Solve d - (-2) = 19 for d.
d =
Answers
Answer:
D = 17
Step-by-step explanation:
17 - (-2) = 19
Answer:
D=17
Step-by-step explanation:
..................
Bill is making accessories for the soccer team. He uses 611.66 inches of fabric on headbands for 31 players and 3 coaches. He also uses 273.11 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
Answers
Answer:
26.8 inches of fabrics was used on headband and wristband for each player
Step-by-step explanation:
Headbands for 31 players and 3 couches = 611.66 inches of fabric
Total number of people = 31 players + 3 couches
= 31 + 3
= 34 people
Fabrics per person's headbands = Total inches of fabrics for headbands / total number of people
= 611.66 inches of fabric / 34 people
= 17.99 inches of fabrics per person
Wristband for 31 players = 273.11 inches of fabric
Fabric per person's wristband = total inches of fabrics for wristband / number of players
= 273.11 inches of fabric / 31
= 8.81 inches per person
How much fabric was used on a headband and wristband for each player?
= Fabrics per person's headbands + Fabric per person's wristband
= 17.99 inches + 8.81 inches
= 26.8 inches of fabrics was used on headband and wristband for each player
The coordinates of point K are (−3, 4.5). Which statement tells how to locate point K on the coordinate plane?
Answers
Answer:
-3
Step-by-step explanation:
a canon launches a cannon ball vertically with an initial speed 30.m/s find; the maximum height
Answers
Answer:
45.9183 as the maximum height ............
Step-by-step explanation:
max height=v²/2g
=900/19.6
=45.9183 ................
The ice cream shop sells sundaes for $2 each and banana splits for $3 each. One day, the shop sold 8 more sundaes than banana splits and also made a total of $156. Which system of equations represents the situation?
Answers
Answer:
$82 sundaes
$74 banana split
Step-by-step explanation:
Step one :
Given data
Cost of sundaes =$2 each
Cost of banana split =$3 each
Let the number of sundaes bought be x
And the number of banana split bought be y
The total is x+y
The shop sold 8 more Sundaes than the Banana split
x=8+y—-------1
Total amount made = $156
Therefore the system of equation for the situation is
x=8+y----—----------1
2x+3y=156---------2
But x=8+y
8+y+y=156
8+2y=156
2y=156-8
2y=148
Divide both sides by 2
y=148/2
y=74
On That day they sold $74 banana split
And also they sold x=8+74=$82 sundaes
A line segment AB has the coordinates A (2,3) AND B ( 8,11) answer the following questions. What are the coordinates of the mid point of AB?
Answers
Answer: the slope is m = 4/3
How can 14 x 50 help you find 14 x 49?
Answers
Answer/Explanation:
It might not help you figure out the exact answer, but it definitely helps you estimate. By knowing that 14x50=700, you can guess that 14x49 equals something close to 700.
Hope this helps! Have an amazing day ❤
What is the ratio of 4 red apples and 3 green apples
Answers
Answer:
4:3 8:6 12:9 so on
Step-by-step explanation:
Answer:
4 to 3 or 3 to 4
Step-by-step explanation:
depending on how the question is worded if its red the green then 4 to 3 but if it green to red then its 3 to 4.
Find the area of the smaller sector. Plzzzz help!!!!!!!!!
Answers
Answer:
78.151 (approximately)
Step-by-step explanation:
To find the sector area, the formula is the angle of the sector out of 360° multiplied by the area of the full circle. Area of circle: pi × r²
=140/360×π×8²
=7/18×3.41×64
=7/18×157/50×64
=7/9×157/50×32
=7/9×157/25×16
=17584/225
=78.151 (approximately)
Divide the fractions. Don’t simplify
3/4 divided by 5/2
Answers
It will be cool if I can be brainliest
What is the product of all constants $k$ such that the quadratic $x^2 + kx +15$ can be factored in the form $(x+a)(x+b)$, where $a$ and $b$ are integers?
Answers
hahahahahahahahahahaha
srsly tho
is this still a problem you have? if so ill solve it.
Three is less than the sum of a number x and 4.
Answers
Answer:
3 < x+4
Step-by-step explanation:
The less than symbol is <
3 is less than the sum ( add) of x and 4
3 < x+4
Solving
Subtract 4 from each side
3-4 < x+4-4
-1 <x
the product of b and 2 is greater than or equal to 28
Answers
Answer:
[tex] b \geqslant 14[/tex]
Step-by-step explanation:
Product of b and 2 = 2b
According to the given description:
[tex]2b \geqslant 28 \\ \\ b \geqslant \frac{28}{2} \\ \\ b \geqslant 14[/tex]
Mr. Borden was given a $50 gift card to use at the bowling alley. It costs him $10 per night to bowl. Each time he goes to the bowling alley he records the amount he has used and the amount he has left. If x is the number of nights bowled, b(x) is the balance on the gift card. Discreet
Answers
Answer:
He initially has $50 on his card.
For each night that he goes to play, $10 are discounted from the card, then if he went x nights to play, the amount of money that there is in the card is:
b(x) = $50 - $10*x
Now, notice that x must be a whole number because this measures the number of nights that he went to play, and we can not have rational numbers to describe this.
Then the domain of this function will be discrete (and this implies that the range must also be discrete)
Where the possible values of x are:
{0, 1, 2, 3, 4, 5}
(after x = 5, there is no more money in the card)
And the possible values of b(x) are:
{$0, $10, $20, $30, $40, $50}
There are 16 circles and 12 squares. What is the simplest ratio of squares to circle
Answers
Answer:
4:3
Step-by-step explanation:
divide each by 4
Sara bought 12 apples, 24 oranges, and 18 bananas for fruit baskets. If Sara wants to create the greatest number of fruit baskets that all have the same amount of fruit without any left over, how many baskets can she create?
Answers
Answer:
Step-by-step explanation:
Apples- 2
Oranges-4
Bananas- 3
In each basket
PLEASE HELP!!!
Karl filled up the tank of his truck with 400 liters of fuel and set out to deliver a shipment of bananas to Alaska. The truck consumed 0.8 liters of fuel for each kilometer driven.
Graph the relationship between the amount of fuel remaining in the truck's tank (in liters) and distance driven (in kilometers).
Answers
Answer:
you have it almost good. all you have to do is move the dot from (500,80) to (500,0) because by 500 kilometres all 400 liters of fuel has been used.
500*.8=400
Answer:
Step-by-step explanation:
This is the right answer
I screenshot the picture and it shows i got it right
help me figure out the icons numbers plzzz
Answers
Answer:
ahhhhhhhhhhh
Step-by-step explanation:
Okay so for the present imagine it as x-3-×=13, then 2x=16, x=8. So the present box represents 8. When applied to the other questions you will find it that the squirrel is 6, the carrot is 2, and the snowman/green question mark is 5.
A 2-gallon jug of water costs $14.24. What is the price per quart?
Answers
Answer:
p
Step-by-step explanation:
p
Justin runs 5 laps around the track in 8 minutes. If Justin runs 12 laps at the same rate, how long will it take? Write your answer using numbers only, no units.
PLEASE ANSWER
WILL MARK BRANLIEST
Answers
Answer:
the answer should be 19.2
Evaluate -6 - (-1). (1 point)
O -7
O5
O -5
O6
Answers
[tex]-6-(-1)\\-6+1[/tex]
-(-1) = 1 as negative multiply negative equals positive.
Thus, the answer is -6+1 = -5.
The answer is the third choice, -5.
What number should go in the empty boxes to complete the calculation for finding the product of 0.53 × 0.67?
Please help due today
Answers
Answer:
0.3551
Step-by-step explanation:
0.53 x 0.67 = 0.3551
don't see empty boxes; hope this helps