Which side lengths form a right triangle?
Choose all answers that apply:
A
5, V6, V31
B
15, 5,50
C 9, 12,15
Answers
Answer:
[tex](a)\ 5, \sqrt 6, \sqrt{31[/tex]
[tex](c)\ 9, 12, 15[/tex]
Step-by-step explanation:
Required
Side lengths that form a right triangle
Applying Pythagoras theorem
[tex]a^2 = b^2 + c^2[/tex]
Where a is the longest side.
So, we have:
[tex](a)\ 5, \sqrt 6, \sqrt{31[/tex]
[tex](\sqrt{31})^2 = 5^2 + (\sqrt 6)^2[/tex]
[tex]31 = 25 + 6[/tex]
[tex]31 = 31[/tex]
This forms a right triangle
[tex](b)\ \sqrt 5, \sqrt 5, 50[/tex]
[tex]50^2 = (\sqrt 5)^2 + (\sqrt 5)^2[/tex]
[tex]2500 = 5 + 5[/tex]
[tex]2500 \ne 10[/tex]
This does not form a right triangle
[tex](c)\ 9, 12, 15[/tex]
[tex]15^2 = 12^2 + 9^2[/tex]
[tex]225 = 144 + 81[/tex]
[tex]225 = 225[/tex]
This forms a right triangle
Related Questions
Mark won 79 lollipops playing hoops at his school game night. Later, he gave three to each of his friends. He only has four remaining. How many friends does he have?
Answers
Answer:
25 friends
Step-by-step explanation:
79 - 4 = 75.
75 ÷ 3 = 25
25 friends
According to Masterfoods, the company that manufactures M&M's, 12% of peanut M&M's are brown, 15% are
yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. [Round your answers to three decimal
places, for example: 0.123]
Compute the probability that a randomly selected peanut M&M is not brown.
Compute the probability that a randomly selected peanut M&M is brown or orange.
Compute the probability that three randomly selected peanut M&M's are all yellow.
If you randomly select six peanut M&M's, compute that probability that none of them are brown.
If you randomly select six peanut M&M's, compute that probability that at least one of them is brown.
Answers
Answer(In bold)/Step-by-step explanation:
Compute the probability that a randomly selected peanut M&M is not blue
P (blue) = 23%
P (blue)C = 1 - P(blue) = 100% - 23% = 77%
Compute the probability that a randomly selected peanut M&M is green or red.
P (green) = 15%
P (red) = 12%
P (green or red) = P(green) + P(red) = 27%
Compute the probability that three randomly selected peanut M&M’s are all yellow.
P (yellow) = 15%
(P(yellow))3 = 0.338%
There was replacement in the selection process.
If you randomly select six peanut M&M’s, compute that probability that none of them are brown.
P(brown) = 12%
P(brown)C = 1 - P(brown) = 100% - 12% = 88%
(P(brown)C)6 = 46.440%
Christopher is taking a multiple choice test with a total of 100 points available. Each question is worth exactly 2 points. What would be Christopher's test score (out of 100) if he got 10 questions wrong? What would be his score if he got xx questions wrong?
Answers
Answer:
If im not wrong, if every question is 2 points of 100 points in total means that are 50 questions, so if he gets 10 wrong then he would be losing 20 points which his final grade would be 80!
Answer:
Score with 10 questions wrong: 80
Score with x questions wrong: 100−2x
Step-by-step explanation:
each point is deducted by 2 pts and so, with 10 question, he got an 80.
100 is the availability of the points and 2x means which the points were lost
Choose 3 values that would make this inequality true. 28 + x > 42 *
Answers
Answer:
15, 16, 17
Step-by-step explanation:
28+ x > 42
⇒ x > 42-28
⇒ x > 14
With that said, the three values would be 15, 16, 17
A salesperson earns a commission of $252 for selling $2100 in merchandise.
Find the commission rate. Write your answer as a percentage.
Answers
Answer:
The commission rate is of 12%.
Step-by-step explanation:
Commission rate:
The commission rate is given by the commission value multiplied by 100% and divided by the value of merchandise sold.
In this question:
$252 in commission for selling $2100 in merchandise. So
252*100%/2100 = 12%
The commission rate is of 12%.
I need help I needa pass this test all 9 questions
Answers
Answer: The answer is b
Step-by-step explanation: Check the image! It matches. Hope this helps!
Please help me with this and fast!
Answers
Answer:
16
5
O
I think
Step-by-step explanation:
What is the right answer
Answers
Answer:
The complement of 44° is the angle that when added to 44° forms a right angle ( 90° ). Subtract 44 from 90.
Step-by-step explanation:
Adult tickets to the ice-skating show cost
$34 each plus a $2 handling fee for each
ticket. Senior Tours purchased 87 adult
tickets. How much money did the tour
company pay for the tickets and handling
fees?
A $2,960
B $4,783
C $3,132
D $2,958
Answers
Hello who ever answers gets brainliest!!!
Answers
Answer:
Yes
Step-by-step explanation:
All you need to do is just divide 5,184 by 10.
5,184/10= 518.4
Therefore, the answer is yes.
1. It takes one week for a crew of workers to pave 35 kilometer of a road. At that rate, how long will it take to pave 1 kilometer?
Write a multiplication equation and a division equation that represent the question and then answer the question.
Answers
Answer:
5/3
Step-by-step explanation:
Which expressions are difference of squares?
Select all correct answers.
y^6 + 25
x^2 − y^2
x^4 − 36
y + 16
Answers
Answer:
x² - y² and x^4 - 36
Step-by-step explanation:
(x + y)(x - y)
(x² + 6)(x² - 6)
Many businesses and organizations insist that official communications use professional-looking fonts, such as Times New Roman. Fonts characterized as less professional, such as Comic Sans, should be avoided. A student would like to determine if font choice makes a difference in the average grade on a typed response in English classes. There are currently four English classes available from which the student can collect data, and each class has a similar writing assignment. That the start of the assignment, students are randomly assigned a font, either times new Roman or comic sans, and then complete the assignment the teachers grade the assignment and the mean grade for each font is found.
What is the response variable in this experiment?
A the font used by each h student
B, the teachers grading the responses
C the grade received on each assignment
D the length of the student response on the assignment
Answers
Answer:
C.
Step-by-step explanation:
The response variable can be defined as those variables that are considered to be the focus of a question in research or experiment. It is also known as a dependent variable and is marked on the y-axis. The response variable is explained with the help of an explanatory variable, marked on the x-axis. The other names for response variables are y-variables or outcome variables.
In the given case, the response variable is the grade received on each assignment. The grades received by students on each assignment are the main focus of this research.
Therefore, option C is correct.
At the gym, Diana always spends more minutes running than lifting weights.
PART A: Which equations describe the relationship between th number of minutes Diana runs, r, and the number of minutes she lifts weights, w. Select all that apply.
1. 12 + w = r
2. r = w - 12
3. w = 12 + r
4. r - 12 = w
5. r + w = 12
Answers
Answer:
2,3,5
Step-by-step explanation:
The equation that shows the relationship between r and w is r = w + 12 and 12 + w = r
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let r represent the number of minutes Diana runs and w represent the number of minutes she lifts weight.
Since Diana always spends more minutes running than lifting weights. Hence:
r = w + 12
The equation that shows the relationship between r and w is r = w + 12 and 12 + w = r
Find out more on equation at: https://brainly.com/question/2972832
Quadrilaterals:
Find the value of x in the figure below:
Answers
Answer:
118°
Step-by-step explanation:
The sum of the interior angles of a pentagon is 540
122+98+99+103= 422
540-422= 118
Please help.
You will get brainliest.
Answers
Answer:
number 3 if not 3 than ldk
what is 6/11 - 9/2
Answers
Answer:
3 and 21/22
Step-by-step explanation:
You convert the fractions so they have the same number as the denominator and then subtract them.
Help me i need help pls
Answers
Answer:
x-variable
5x-term
5-coefficient
12-constant
Answer:
Dababy A baby. (=
2. Carl needs 15 hours longer than Jennifer to paint a room. If they work together, they can complete the job in 4 hours. Explain each step in figuring out how to determine the time it would
take Jennifer to complete this job on her own. Pls help 20 minutes left
Answers
Answer:
Jennifer would complete the job on her own in 5 hours.
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]
[tex]\Delta = b^{2} - 4ac[/tex]
Rates
The together rate is the sum of their separates rate.
We have that:
Jennifer takes x hours to complete the job on her own, so her rate is 1/x.
Carl needs 15 hours longer than Jennifer, that is, 15 + x hours, so his rate is 1/(15+x).
The together rate is 1/4. So
[tex]\frac{1}{4} = \frac{1}{x} + \frac{1}{15+x}[/tex]
[tex]\frac{1}{4} = \frac{15 + x + x}{x(15+x)}[/tex]
[tex]\frac{1}{4} = \frac{15 + 2x}{x(15+x)}[/tex]
Applying cross multiplication.
[tex]x^2 + 15x = 4(15 + 2x)[/tex]
[tex]x^2 + 15x = 60 + 8x[/tex]
[tex]x^2 + 7x - 60 = 0[/tex]
Quadratic equation with [tex]a = 1, b = 7, c = -60[/tex]. So
[tex]\Delta = 7^{2} - 4*1*60 = 289[/tex]
[tex]x_{1} = \frac{-7 + \sqrt{289}}{2} = 5[/tex]
[tex]x_{2} = \frac{-7 - \sqrt{289}}{2} = -12[/tex]
Since the time to complete the job has to be a positive value.
Jennifer would complete the job on her own in 5 hours.
Two sets of parallel lines intersect as shown. Given ∠2 = 130° what is ∠9?
Answers
Answer:
50 degrees. The angle is the opposite of angle 9, making it 180-130=50.
Find the area 5 3/4 x 9 3/4
Answers
Answer:
56.0625
Step-by-step explanation:
5 3/4x 9 3/4=56.0625
Answer:
Area = 7 km x 5 km = 35 km2 ... by either an addition, subtraction, or some other combination of operations to find the required area. ... ½ x base x height ½ x 9 x 4 = 18. Area of rectangle part: width x height 9 x 6 = 54.
Step-by-step explanation:
Please help i need to get these right or i fail WILL GIVE BRAINLEST!!!
Answers
Answer:
Give brainly to other guy
Step-by-step explanation:he deserves it
HElp And thaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaanks
Answers
Answer:
C or A
But I pick A
Step-by-step explanation:
Answer:
best option is A
Step-by-step explanation:
One method for straightening wire before coiling it to make a spring is called "roller straightening." The article "The Effect of Roller and Spinner Wire Straightening on Coiling Performance and Wire Properties" (Springs, 1987: 27–28) reports on the tensile properties of wire. Suppose a sample of 16 wires is selected and each is tested to determine tensile strength (N/mm2 ). The resulting sample mean and standard deviation are 2160 and 30, respectively. a. The mean tensile strength for springs made using spinner straightening is 2150 N/mm2 . What hypotheses should be tested to determine whether the mean tensile strength for the roller method exceeds 2150? b. Assuming that the tensile strength distribution is approximately normal, what test statistic would you use to test the hypotheses in part (a)? c. What is the value of the test statistic for this data? d. What is the P-value for the value of the test statistic computed in part (c)? e. For a level .05 test, what conclusion would you reach?
Answers
Answer:
We accept H₀, we don´t have enough evidence to claim that the procedure improves the tensile strength above the peviuos average
Step-by-step explanation:
Information:
μ = 2150
Sample size n = 16
Sample mean x = 2160
Sample standard deviation s = 30
a) Test Hypothesis
Null Hypothesis H₀ x = μ
Alternative Hypothesis Hₐ x > μ
b) If Tensile strength is approximately normal distribution we should use t-student statistic for testing the above hypothesis.
t(s) = ?? with df = n - 1 df = 15
c) t(s) = ( x - μ ) / s/√n
t(s) = ( 2160 - 2150 ) / 30/√16
t(s) = 10*4 / 30
t(s) = 1,33
d) In t-student we look for p-vale for 1,33 and df = 15
p-value = 0,1
e) If the level of significance is 0,05, then α/2 = 0,025
we compare p-value and level of significance
p-value 0,1 > 0,025
Then p-value is bigger than the significance level, we should accept H₀
12345 :- 987 me pueden ayudar con esta division
Answers
What are the next 3 terms in this sequence of terms? 12, 18, 24, 30
Answers
12+6=18
18+6=24
24+6=30
30+6=36
36+6=42
42+6=48
True or False:
A figure that translated 4 units
right and 2 units up maintains
it's congruence.
Answers
Mia removes the plug from a trough to drain the water. The volume, in gallons, in the trough after it has been unplugged can be modeled by the expression 10x2 −19x + 6, where x is time in minutes. Choose the appropriate form of the expression that would reveal the time in minutes when the trough is empty.
Answers
Answer:
(5x − 2)(2x − 3).
Step-by-step explanation:
At Ralphs Italian Ices, 145 sundaes were sold in June. Sales were up 23% in July, How many sundaes were sold in July?
Answers
To calculate a percentage, we convert to a decimal by dividing by 100. So 23% = 0.23
145 x 0.23 = 33.35 This is how many more sundaes were sold in July than June. We need to add the 145 sold in June to the increased number to find July’s total.
145 + 33.35 = 178.35
You can’t sell .035/ roughly a third of a sundae, so we round to the whole number.
State the quadrant or axis the point lies in (9, -10)
