Select the procedure that can be used to show the converse of the
Pythagorean theorem using side lengths chosen from 2 cm, 3 cm, 4 cm, and
5 cm
Answers
Answer:
The correct option is C
Step-by-step explanation:
I attached an image that forms the complete question.
The converse Pythagorean theorem states that, "If the square of the longest side of a triangle is equal to the square of the other two sides, then the triangle is a right triangle."
That is if c is the longest side of a triangle and then a and b are the other sides, then if,
c² = a² + b², the triangle is a right triangle.
Looking at all the options, option C fits the theorem well. Because
3² + 4² = 5² implies the triangle is a right triangle and the converse theorem is established.
The option D also looks close, but it's not correct because you can just draw any two sides and put the right angle in between them. The longest is always the part of the triangle that is opposite to the right angle, 90°. If for instance, you draw 3 and 5 then put the right angle in between them, 4 will take the position of the longest side which is wrong.
Therefore, the correct option is c.
Answer:
c
Step-by-step explanation:
Related Questions
Find the value of x. Your answer must be exact.
х
45° 18
Answers
Answer:
x = 63
Step-by-step explanation:
Simplifying
x + -18 = 45
Reorder the terms:
-18 + x = 45
Solving
-18 + x = 45
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '18' to each side of the equation.
-18 + 18 + x = 45 + 18
Combine like terms: -18 + 18 = 0
0 + x = 45 + 18
x = 45 + 18
Combine like terms: 45 + 18 = 63
x = 63
Simplifying
x = 63
The length of the hypotenuse of a right triangle
is 10 cm and the length of one leg is 5 cm. What is
the length of the other leg?
Answers
Pythagorean theorm tells us (x)^2 + (3x)^2 = (10)^2
x^2 + 9x^2 = 100
10x^2 = 100
x^2 =10
x= sqroot10= 3.16
A thermometer is used to calculate the average kinetic energy of the molecules in in a substance what is the theoretical temperature at which molecular motion stop?
A. 9 degrees Celsius
B. 32 degrees Fahrenheit
C. Absolute
D. 273 Kalvin
Answers
Zoe went shopping for a new pair of pants. The listed price of the pair of pants was
$45, but the price with tax came to $46.35. Find the percent sales tax.
ASAP!
Answers
Answer:
3%
Step-by-step explanation:
46.35 - 45 = 1.35 (change)
change/original price X 100
1.35/45 = 0.03
0.03 X 100 = 3
sales tax 3%
Solve 7+2x over 3 = 5
Please and thank you! x
Answers
Answer:
x = 4
Step-by-step explanation:
(7 + 2x) / 3 = 5
Cross product
7 + 2x = 5 * 3
7 + 2x = 15
Subtract 7 from both sides
2x = 15 - 7
2x = 8
Divide both sides by 2
x = 8/2
x = 4
i need step by step help pls someone help me and quick!
Answers
Answer:
i would love to help but I can't see the whole problem. but going on a Hunch I would say you need to just multiply 45 by however much she's selling
10.) Combine the like terms in the following expression: 8 + 3x + x + 5 + 2x *
Answers
Answer:
6x+13
Step-by-step explanation:
I hope this is right.
PLS HELP ITS TIMED..
Answers
Answer:
1. The judge should set a reasonable bail
2. All women
Step-by-step explanation:
Answer:
11. C. Maria should be allowed to call witnesses to support her innocence.
12. C. All women
Step-by-step explanation:
11. If she's pleading not guilty then she should have the right to get a witness.
12. This is the 19th amendment that granted women the right to vote.
The cylinder shown here has a height of 7 centimeters and a radius of 4 centimeters. What is the area of the base of the cylinder? Express your answer in terms of 1. Do not include units (cm2) in your answer. Use pi to represent the n symbol. For example: 321 would be typed as 32pi
Answers
Answer: 16pi
Step-by-step explanation:
Select the correct answer.
Factor the given expression.
x2 + 16x + 64
A.
(x + 16)(x + 4)
B.
(x + 4)2
C.
(x + 8)(x − 8)
D.
(x + 8)2
Pls help will give brainliest if the answer it right
Answers
Answer: Factors are the numbers and/or variables between your transactions (division, multiplication, addition, and subtraction signs). So the answer would be x2, 16x, and 64.
Step-by-step explanation:
You welcome
Can I get brainliest when sun else answers?
factorize -pq -pr +mq +mr
Answers
Answer:
(q + r) (m - p)
Explanation:
-pq - pr + mq + mrFactor out common term 'p'= -p(q + r) + mq + mr
Factor out common term 'm'= -p(q + r) + m(q + r)
Factor out common term '(q + r)'= (q + r) (-p + m)
(q + r) (m - p)- PNW
PLS HELP NOOOOOOOOOOOOOOOOWWWWWWWWWWWWWW
Answers
Answer:
cant its blocked
Step-by-step explanation:
What is 1/2x(4+6x3)-9?
Answers
Answer:
Answer is 2
Step-by-step explanation:
Answer:
1st do you do 6 × 3 to get 18 and then you add that by 4 because parentheses come 1st. You want to use Pemdas so you do 1/2 times 22 and then you want to subtract 9 from 22 to get 12.
Solve the system of equations using elimination, or write “no solutions” or “infinite solutions” where applicable
4x-y = 7
Answers
Answer:
no solutions
Step-by-step explanation:
i guess im
state if polygons are similar
Answers
Answer:
B
Step-by-step explanation:
The volume of a cylinder whose radius is 2r cm and height h/4cm is______________
Answers
Answer:
V=πrh/2
Step-by-step explanation:
volume of a cylinder can be calculated using below formula
V=πr2h
Given:
radius =2r cm
height= h/4cm
If we substitute the given value into the formula we have πrh/2
V= π ×(2r) ×(h/4)
Simplyfying
V=πrh/2
Hence, The volume of a cylinder is V=πrh/2
REEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answers
Answer:
the middle sign
Step-by-step explanation:
Please help don’t know answer
Answers
Answer: Slope: 2/3
y-intercept: 9
Step-by-step explanation:
Y + 2 = -3/4 ( x +1 )
Answers
Answer:
Step-by-step explanation:
Part 1
Washington, DC, was warmer in February (4.3°F)than in December (44°F). Write an inequality for this relationship.
Answers
Answer:
Step-by-step explanation:
4.3 °F > 4 1/4 °F
What is the value of 20+6•5/-2
Answers
Answer:
The answer is 25
Step-by-step explanation:
6•5=30
30+20=50
50/-2=25
3.2÷(0.16+0.24)2( the 2 right next to this is a exponent)
Answers
By the way next time just do (0.16+0.24)^2
Margo participated in a surfing competition. During the competition, the height of the ocean waves increased from two feet to six feet. a. Identify how many times greater the amount of energy carried by the six-foot wave was than the amount of energy caried by the two-foot wave. Explain your reasoning.
Answers
Answer:
three times the two foot wave wuold be the six foot wave
Step-by-step explanation:
because its right
A surfer is riding a 7 foot wave. The angle of depression from the surfer to the shoreline is 10 degrees. What is the distance from the surfer to the shoreline
Answers
Step-by-step explanation:
The distance from the surfer to the shoreline will be found as follows:
tan θ= opposite/adjacent
θ=10°
opposite=7ft
adjacent= x ft
substituting the values in our formula and solving for x we get
tan 10=7/x
hence
x=7/tan10
x=39.69897~ 39.7 ft
The surfer is 39.7 ft from the shoreline.
Answer:
The surfer is 39.7 ft from the shoreline.
Step-by-step explanation:
Write each percent as a fraction in simplest form.
12%
Answers
Evaluate f(x)=−7x−5 when x=−6.
f(−6)=
Answers
Answer:
f(_6) = _7(_6)_5
=42_5
=37
If the sales tax rate is 5% in California, then how much would you pay in Los Angeles for a pair of shoes that cost $35.00?
Answers
Answer:
$36.75
Step-by-step explanation:
The sales tax rate = 5 = 0.05 [Divide by 100 to convert in decimal]
The cost of a pair of shoes = $35.00
Tax amount to pay = Tax rate × Cost of a pair of shoes
5% of 35 = 1.75
35 + 5% = $36.75
PLEASE HELP!!
Which inequality describes all the solutions to -5x + 6 -9
B. x 4
Answers
Answer:
-5x-3
Step-by-step explanation:
-5x+6-9=-5x-3
The inequality that describes all the solutions to the given inequality expression is x > 4
Given the inequality expression -5x + 6 < 2(-3 − x)
Expand the right-hand side of the ineqality
-5x + 6 < -6 - 2x
Collect the like terms
-5x + 2x < -6 - 6
-3x < -12
Divide both sides by -3
-3x/-3 > -12/-3
x > 4
Hence the inequality that describes all the solutions to the given inequality expression is x > 4
Learn more here: https://brainly.com/question/15816805
The cell phone price was originally $457. It is now being sold for $318. State the change to the nearest percent
I really need help
Answers
Answer:
30.4%
Step-by-step explanation:
Given data
originally price $457
new price= $318
Required
The percent mark down
Percent markdown= original- new/original*100
substitute
Percent markdown= 457- 318/457*100
Percent markdown= 139/457*100
Percent markdown=0.304*100
Percent markdown=30.4%
Hence the price was reduced by 30.4%
If a certain cannon is fired from a height of 9.8 meters above the ground, at a certain angle, the height of the cannonball above the ground, h, in meters, at time, t, in seconds, is found by the function h(t) = -4.9t² + 30.5t +9.8. Find the time it takes for the cannonball to strike the ground.
Answers
Answer:
6.53 s
Step-by-step explanation:
The height of the cannon ball is represented by a quadratic function as:
h(t) = -4.9t² + 30.5t +9.8.
At 0 s (i.e. t = 0), h(0) = -4.9(0²) + 30.5(0) + 9.8 = 9.8
That means that the cannon ball is initially at a height of 9.8 m above the ground. To calculate the time it takes the ball to touch the ground, we use:
h(t) = -4.9t² + 30.5t +9.8
It touches the ground when h(t) = 0. Hence:
0 = -4.9t² + 30.5t + 9.8
Solving the above quadratic equation gives:
t = 6.53 s and t = -0.31 s
Since the time cannot be negative, hence t = 6.53 s. Therefore it takes the ball 6.53 s to hit the ground.
