The side lengths of a triangle are 5, 12, and 13. Is this a right triangle?
Answers
Answer:
yes, it is right triangle
Step-by-step explanation:
to know if it is right triangle or not, you need to assume that the longest side is the hypotenuse which is 13.
next, the angle between 12 and 5 must be 90 to prove that it was right triangle
to prove that, let's use cosinus theorem
[tex] {13}^{2} = {12}^{2} + {5}^{2} - 2(12)(5) \cos(x) \\ 2(12)(5) \cos(x) = {12}^{2} + {5}^{2} - {13}^{2} \\ \cos(x) = \frac{ {12}^{2} + {5}^{2} - {13}^{2} }{2(12)(5)} \\ \cos(x ) = 0 \\ x = 90[/tex]
from that, we know it is a right triangle
Related Questions
Jennifer has a collection of 1,600 coins. Of the coins, 40% are dated before 1940, 35% are dated from 1940 to 1980, and the rest are dated after 1980. How many coins in Jennifer’s collection are dated after 1980?
Answers
Answer:
Step-by-step explanation:
40% + 35 % = 80 % so 20% are dated after 1980
20% is .20 in decimal form
.20 (1600) = 320 coins dated after 1980
1
A train trip took 4 hours. For the trip, the train traveled at 60 kilometers per hour. For the
2
rest of the trip, the train traveled at 100 kilometers per hour. How far did the train travel
in all?
Answers
Answer:
320 kilometers
Step-by-step explanation:
1/2 -- (60 * 2) = 120 km
rest pf the trip -- 100 km per hour -- 2 hours left -- (100 * 2) = 200 km
Therefore, 120 + 200 = 320 km
Thenks and mark me brainliest :)
simplify the expression 9n+1/4+6y+4n-4y
Answers
Answer: =13n+2y+1/4
Step-by-step explanation: Hope this help :D
Let simplify step by step
9n+1/4+6y+4n-4y
=9n+1/4+6y+4n-4y
combine like terms:
=9n+1/4+6y+4n+-4y =(9n+4n) +(6y+-4y) +(1/4)
=13n+2y+1/4 Hope
HELP PLEASE!!
Explain the error in the following exercise;
then correct it.
Answers
Answer:
2/1x7/6=14/6=7/3
Step-by-step explanation:
Multiply the 2 by the 7 but Not the 6. So the second number is 14/6, not 14/12.
‘Then simplify 14/6 to 7/3
Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify.
The sum of 7 and the cube of a number.
The sum of 7 and the cube of a number.
Answers
Answer:
Step-by-step explanation:
7 + x³ is the sum of 7 and the cube of a number x
in 52469 6 is in the
Answers
Answer:
6 is in the tenths place.
Step-by-step explanation:
Each digit is a number has a place, and we start counting from left to the right.
52469
9 is in the units place
6 is in the tenths place.
4 is in the cents place.
2 is the thousandths place.
5 is in the ten thousandths place.
The question asks 6, which is in the tenths place.
sonya got 8 out of 10 questions right on a quiz.she got the same score on a quiz that had 20 questions. how many questions did sonya get right on the second quiz? how many questions did she get wrong on the second quiz?
MUST SHOW WORK
Answers
Answer:
Sonya got 16 questions correct.
Step-by-step explanation:
8/10=80%
80%×20=16
(To check)
16/20=80%
What is equavalent 3 11/40.
The best estimate close to this answer 3 11/40
A. 2 1/2
B. 3 Plzz help me
C. 3 1/2
D. 4
Answers
Answer:
C. 3 1/2Step-by-step explanation:
Estimate the fraction part of the number.
11/40 > 10/40 = 1/4We can estimate the fraction part as 1/2 since its greater than 1/4.
The number becomes 3 1/2.
Best choice is C
Answer:
11/40>10/40=1/4 is a part of ½
so
best estimate is 3 ½.
Can someone help me really please
Answers
Answer:
Step-by-step explanation:
question
Answer:
the tank at the pet store
Step-by-step explanation:
5x4x2 = 40
35<40
Find five consecutive odd numbers where the sum of the first three numbers is 15 greater than the sum of the final two numbers.
Answers
Answer:
the consecutive numbers are: 23, 25, 27, 29, 31.
Step-by-step explanation:
23+25+27 is 75
29+31 is 60
75-60 is 15
Ross has a board that is 12 feet long. He needs to cut the board into equal pieces that are 1/2 feet long. How many pieces can she cutt
Answers
Answer:
13
Step-by-step explanation:
9514 1404 393
Answer:
24
Step-by-step explanation:
Assuming that making the cut does not change the total length of the board, each foot can be divided into two pieces that are 1/2 foot. The number of pieces will be ...
(12 ft)/(1/2 ft/piece) = (12×2) pieces = 24 pieces
Ross can make 24 pieces that are 1/2 ft long from her board.
Suppose that only 2 percent of all people are geniuses. If an IQ test indicates that Albert is a genius, but the test is only accurate 90 percent of the time, then the probability that Albert really is a genius is roughly:
Answers
Answer:
P = 1,8 %
Step-by-step explanation:
From the whole population, only 2% are geniuses. But test results, are accurate 90 %. So the probability that Albert really is a genius is:
P = 0,02 * 0,9
P = 0,018 or P = 1,8 %
What is shrinkage in Accounting?
Answers
9514 1404 393
Explanation:
Shrinkage is the loss of inventory from causes other than normal use or sales. It is the difference between the inventory on the books and the amount of inventory actually available for use. Typical causes of shrinkage are theft, damage, fraud, counting error, administrative error.
50 POINTS PLEASE HELP
A normal work day for Carl is from 8:00 a.m. to 4:30 p.m. Carl wants to figure out the degree measure that the hour hand makes while he is at work. Carl believes that if he divides 360 by 12 and multiplies the result by 8.5 he will have the correct degrees the hour hand moves. Is Carl correct? If not, choose the appropriate explanation.
A
Yes, Carl is correct. The process he takes will give him the correct degrees the hour hand moves.
B
No, Carl is incorrect. He must take the number he ends up with and subtract it from 360.
C
No, Carl is incorrect. The hour hand will go around the clock 360 degrees.
D
No, Carl is incorrect. He must first multiply 360 by 12 and then divide by 8.5.
Answers
Answer:
The answer is B brainliest?
Step-by-step explanation:
The data are from a small moving company that moves people from urban apartment buildings to other urban apartment building in the same or different cities. The company needs assistance in predicting the labor hours for jobs so they can provide more accurate price quotes.
Run two separate regressions using the data in the sections of the spreadsheet titled Regression Model 1 and Regression Model 2. Use a 95% confidence level.
Fill in all the blanks below. Do not round any numbers except for when entering them in the blanks for this quiz, round these numbers to exactly 2 decimal places even if the number has only one or no decimal places. Use commas to separate thousands (e.g., 1225 should be entered as 1,225.00).
Regression Model 1
R Square expressed as a percentage rounded and carried out to two decimal places is ________% and Adjusted R Square expressed as a percentage rounded and carried out to two decimal places is _______%. Refer to the spreadsheet embedded in your Module 14 Regression document I provided you to see the calculation and format for answering this next question. The gap between R Square and Adjusted R Square expressed as a percentage rounded and carried out to two decimal places is 0.______%.
The overall regression model (was / was not) _______ significant.
Using square footage of 1,500 and mileage of 92, the model estimates that ______ hours of labor would be required, with a margin of error of _________ hours.
Regression Model 2
R Square expressed as a percentage rounded and carried out to two decimal places is _______% and Adjusted R Square expressed as a percentage rounded and carried out to two decimal places is _______%. Refer to the spreadsheet embedded in your Module 14 Regression document I provided you to see the calculation and format for answering this next question. The gap between R Square and Adjusted R Square expressed as a percentage rounded and carried out to two decimal places is 0.________%.
The overall regression model (was / was not) __________ significant.
Using square footage of 1,500, mileage of 92, and floors of 71, the model estimates that _________ hours of labor would be required, with a margin of error of ________ hours.
Model Selection
Because the R Square is (higher / lower) _________ in regression model 1 than in regression model 2 and the gap between R Square and Adjusted R Square is (smaller / larger) in regression model 1 than in regression model 2 _________ and the margin of error of the estimated labor hours is (smaller / larger) _________ in regression model 1 than in regression model 2 , we would characterize regression model (1 or 2) ___________ as being the better model.
Answers
Answer:
I wish I can read all the text
What do we do to both sides of the equation? X-8=3
Answers
Step-by-step explanation:
......................
A sporting goods store has shoes on sale for 20% off the regular price. Brantley finds a pair of shoes with a regular price of $35. He wants to know the sale price of the shoes. 0) Drag the given information into the table to represent the problem. Regular Price % $ Sale Price Discount % % S $ $35 $ ? 20%
Answers
Answer:
$28
Step-by-step explanation:
Given that :
Regular price = $35
Discount = 20%
Sale price = Regular price - Discount on sale
Discount on sale = 20% * regular price
Discount on sale = 0.2 * $35 = $7
Sale price = $35 - $7 = $28
Answer:
Regular price is 35 and discount is 20% and sale price is ?
Regular price is 35 and the discount is 7 and the sale price is 28
Step-by-step explanation:
I did the I-ready already
CAN SOMEONE TELL ME WHAT THIS IS PLEASE
Answers
Answer:
A = 533.8 square inches
Step-by-step explanation:
Use the surface area of a cylinder formula (A=2πrh+2πr^2)
Plug in 12 for h and 5 for r
Use 3.14 in replace for π
A = 2(3.14)(5)(12) + 2(3.14)(5)^2
A = 533.8 in^2
Step-by-step explanation:
55 square inches tall is the average cost of a house in the morning po everything is the same as
The high school is 3.6 inches from the middle school on a map. Each half inch on the map represents 0.4 mile. What is the actual distance between the two schools?
2.88 miles
4.5 miles
7.2 miles
9 miles
Answers
Answer:
2.88 miles
Step-by-step explanation:
because 3.6/.5 = 7.2
then 7.2 × .4 = 2.88
I need help plsss I will give u more points
Answers
Answer:
The value of 0.9* 10² is D.90.4*(12-8)+2³4*4+2³16+824a.
False : it is to add 16+8
b.
False : its 8.
c.
True.
d.
False : its 24.
3.
side of cube [a]=2ft
volume of cube [V]=a³=2³=8ft³
He needs 1 bag to buy.As its volume is equal.
12 and a half percent of 48.40
Answers
Answer:
6.05
Step-by-step explanation:
12 and a half percent of 48.4 = 6.05 because you can put .125 in your calculator and it is the same at 12.5% so you do .125 * 48.40 and you get 6.05
∫eˣ²dx find integral show all steps
Answers
Answer:
[tex] \int \: e {}^{x {}^{2} } dx \\ y = {e}^{ {x}^{2} } \\ ln(y) = {x}^{2} \\ \frac{dy}{y} = 2xdx \\ dy/2x = {e}^{ {x}^{2} } dx \\ \int \: d( {e}^{ {x}^{2} } ) = \int {e}^{ {x}^{2} } .2xdx \\ \frac{{e}^{ {x}^{2} } }{2x} = \int \: {e}^{ {x}^{2} } dx \\ \int \: {e}^{ {x}^{2} } dx \: = \frac{1}{2x} {e}^{ {x}^{2} } + c[/tex]
Let A be the set of all lines in the plane. Define a relation R on A as follows. For every l1 and l2 in A, l1 R l2 ⇔ l1 is parallel to l2. (Assume that a line is parallel to itself). Which of the following is true for R?
A. R is reflexive.
B. R is symmetric.
C. R is transitive.
D. R is neither reflexive, symmetric, nor transitive.
Answers
Answer:
Hence, the relation R is a reflexive, symmetric and transitive relation.
Given :
A be the set of all lines in the plane and R is a relation on set A.
[tex]R=\{l_1,l_2\in A|l_1 \;\text{is parallel to}\; l_2\}[/tex]
To find :
Which type of relation R on set A.
Explanation :
A relation R on a set A is called reflexive relation if every [tex]a\in A[/tex] then [tex](a,a)\in R[/tex].
So, the relation R is a reflexive relation because a line always parallels to itself.
A relation R on a set A is called Symmetric relation if [tex](a,b)\in R[/tex] then [tex](b,a)\in R[/tex] for all [tex]a,b\in A[/tex].
So, the relation R is a symmetric relation because if a line [tex]l_1[/tex] is parallel to the line [tex]l_2[/tex] the always the line [tex]l_2[/tex] is parallel to the line [tex]l_1[/tex].
A relation R on a set A is called transitive relation if [tex](a,b)\in R[/tex] and [tex](b,c)\in R[/tex] then [tex](a,c)\in R[/tex] for all [tex]a,b,c\in A[/tex].
So, the relation R is a transitive relation because if a line [tex]l_1[/tex] s parallel to the line [tex]l_2[/tex] and the line [tex]l_2[/tex] is parallel to the line [tex]l_3[/tex] then the always line [tex]l_1[/tex] is parallel to the line [tex]l_3[/tex].
Therefore the relation R is a reflexive, symmetric and transitive relation.
Evaluate the expression when x= -2.
х2+бх+9
Answers
Answer:
1
Step-by-step explanation:
x = - 2
x^2 + 6x + 9
= ( - 2 )^2 + 6 ( - 2 ) + 9
= 4 - 12 + 9
= 4 + 9 - 12
= 13 - 12
= 1
Five friends built a marble tower. The marble tower had a curved track. The track was designed so that the marbles would move down the track in a circular path. The track ended on the floor. Each friend predicted how he or she thought the marble would move when it rolled off the end of the track onto the floor. This is what they said:
Answers
Answer:
The best answer is of Keira's.
Step-by-step explanation:
The full question is as follows :
Given - Each friend predicted how he or she thought the marble would move when it rolled off the end of the track onto the floor.
This is what they said:
Magda : '' I think it will roll in circles.''
Soledad : '' I think it will curve for a bit and then straighten out.''
Allen : '' I think it will roll out in one big curve.''
Keira : '' I think it will roll in a straight line,''
Rafael : '' I think it will zigzag for a little while.''
To find - Which friend do you most agree with ?
Proof -
The best answer is Keira's.
The marble having the track will travel in a straight line.
The behavior is true for all objects.
If no outside force act on an object, the object will travel in a straight line at a constant speed.
When the marble leaves the end of the track, it is no longer in contact with the walls of the track.
That is , the marble has no longer a center-pushing force.
According to Newton's First law, an object remains at rest or in uniform motion in a straight line unless acted upon by an external force.
Since, there is no longer a center-pushing force so the marble rolls off the end of the track in a straight line path across the floor.
You want to open a checking account at your local bank which offers two options. A standard checking account charges $6 each month plus $.25 for each check written. A select checking account charges $4.50 each month plus $.50 for each check written. Which system of equations can be used to determine the number x of checks that must be written in a month in order for the total charges y for the two checking accounts to be the same?
Answers
Answer:
The total charges for the two checking accounts will be the same after 6 checks written.
Step-by-step explanation:
Since I want to open a checking account at my local bank which offers two options, a standard checking account that charges $ 6 each month plus $ 0.25 for each check written, and a select checking account that charges $ 4.50 each month plus $ 0.50 for each check written, to determine which system of equations can be used to determine the number X of checks that must be written in a month in order for the total charges Y for the two checking accounts to be the same, the following calculation must be performed:
6 + 0.25X = Y
4.5 + 0.5X = Y
6 + 0.25x5 = Y
4.5 + 0.5x5 = Y
6 + 1.25 = Y = 7.25
4.5 + 2.50 = 7
6 + 0.25x6 = Y
4.5 + 0.5x6 = Y
6 + 1.50 = Y = 7.50
4.5 + 3 = 7.50
Therefore, the total charges for the two checking accounts will be the same after 6 checks written.
[tex](w + \frac{4}{w} ) {}^{2} [/tex]
Answers
W^2 + 8w/w + 16/x^2
Explanation:
2+2 brain time yessir
Answers
Answer:
Step-by-step explanation:
4 is the correct answer
Question # 3: Two-sixths of the kids attending a tennis camp are left-
handed. There were 48 total kids attending the camp. How many kids are
left handed?
Answers
Answer:
52
Step-by-step explanation:
34-56/93
390 + 86(90x89)
DONT LISTEN TO THIS
7 has been subtracted from the product of x and 7=
Answers
Answer:
7x - 7
Step-by-step explanation:
Product of x and 7 = 7x
7 minus 7x
7x - 7
Hence the expression is :
7x - 7