Answers
Answer:
The third side is 3√6 units.
Step-by-step explanation:
Given that this is a 90° triangle so you can apply Pythagoras Theorem :
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]
[tex] {a}^{2} = {( \sqrt{90}) }^{2} - {6}^{2} [/tex]
[tex] {a}^{2} = 90 - 36[/tex]
[tex] {a}^{2} = 54[/tex]
[tex]a = \sqrt{54} = \sqrt{9 \times 6} = 3 \sqrt{6} [/tex]
just use theorem pythagoras
Related Questions
Man travelled twofifth of his journey by train,onethird by bus, one fourth by car and thr remaining 3 km by foot . What is the length of his total journey
Answers
Answer:
180 km
Step-by-step explanation:
Let total length of journey = x
By train = 2/5x
By bus = 1/3x
By car = 1/4x
By foot = 3km
(2/5)x + (1/3)x + (1/4)x + 3 = x
L. C. M of 5, 3 and 4 = 60
(24x + 20x + 15x) / 60 = x
24x + 20x + 15x + 180= 60x
24x + 20x + 15x - 60x = - 180
-x = - 180
x = 180
Hence, total length of journey = 180km
What is the equation of the line that passes through (-3,2) and is parallel to the graphed equation ?
Answers
Answer:
ikjhgtjyhtyhhyj
5th over 3 hour sessions and the first thing I have to do is
Step-by-step explanation:
the new gg64ar will come is present in the sky in 5
Find all real values of x that satisfy the equation x^2 - 7x = 98.
Answers
x/2-7x=98
2-8x=98
98-2=96
7x/98=14
So x=14
Find the percent change from the first value to the second.
50; 35
Answers
Answer:
30
Step-by-step explanation:
Help please!!! Thank you!!
Answers
Answer:
Wow thats long
Step-by-step explanation:
I thinks its b TBH
PLS HELP ASAP
What is the value of X?
The answer is 8 but I need to show the work pls help
Answers
Answer:
x = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Geometry
All angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Set up Equation
(7x - 1) + 80 + (6x - 3) = 180
Step 2: Solve for x
Combine like terms: 13x + 76 = 180Isolate x term: 13x = 104Isolate x: x = 8Answer: x = 8
Step-by-step explanation:
Hoped this helped
Write a function rule for the area of a rectangle with a length 2 ft less than three times it’s width. What is the area of the rectangle when it’s width is 2 ft?
Answers
9514 1404 393
Answer:
A(w) = w(3w-2)
A(2) = 8 . . . . square feet
Step-by-step explanation:
For width w, the length will be 3w-2, two feet less than 3 times the width. The area is the product of length and width, so is ...
A = WL
A(w) = w(3w-2)
__
To find the area for a width of 2, we put 2 where w is, then evaluate.
A(2) = 2(3·2 -2) = 8 . . . . square feet
11) Which of the following are examples of the HL Theorem? Select 2. *
Answers
Answer:
Step-by-step explanation:
All of them are examples of Hypotenuse Leg Theorem
The perimeter of a parallelogram must be no less than 40 feet. The length of the rectangle is 6 feet. What are the possible measurements of the width? Write an inequality to represent this problem. Use w to represent the width of the parallelogram. [Hint: The formula for finding the perimeter of a parallelogram is \(P=2l+2w.\) What is the smallest possible measurement of the width? Justify your answer by showing all your work.
Answers
Answer:
A. 2l + 2w > 40
B. 14 = w
Step-by-step explanation:
B. 40 = ( 2/6) + 2w
40 = 12 +2w
subtracted by
28 = 2w
and that equals
14= w
A ball Is dropped from a height of 100'. The height of the ball can be determined using the equation h = -16t^2+ 100, Where H is the height, in feet, and T is the time in seconds. If age equals 0 Kama find all the values of T and determine whether the values are reasonable for this solution
Answers
Answer:
2.5secsStep-by-step explanation:
Given the height of the ball modeled by the equation h = -16t^2+ 100, where
h is the height
t is in seconds
We can find the time taken by the ball to reach the ground.
The ball reaches the ground when the height h = 0
Substitute h = 0 into the equation and find t;
0 = -16t^2+ 100
16t^2 = 100
t^2 = 100/16
t = √100/16
t = 10/4
t = 2.5secs
Hence the ball reaches the ground after 2.5secs
Find 6% tax of $12.50 *
Your answer
Answers
Find the length of the unknown side. Round your answer to the nearest whole number.
Pls help thx 19 points
Answers
Answer:
7 inches
Step-by-step explanation:
you have to use the Pythagorean Theorem
Answer:
10 inches
Step-by-step explanation:
Assuming one of angles is 30 degrees we can use the theorem leg opposite to 30 degree angle the hypotenuse will be double than the leg measurements so it is 10 inches.
Ashley spent half her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $9. What is her weekly allowance if she ended with $15?
Show your work
please hurry up!!!
Answers
15 total - 9 for car = 6 for half of allowance
6 + 6 = 12
What are all equivalent expressions to 4w+7w
Answers
Answer: 11w
Step-by-step explanation: you can add 4w and 7w since they both have the variable w.
Please help me with this
Answers
Answer:
6,561
39,204
25,575
52.5625 - 7.5625 = 45
Step-by-step explanation:
(i)
(81)^2
Use (a + b)^2 = a^2 + 2ab + b^2
(81)^2 = (80 + 1)^2 =
= 80^2 + 2 * 80 * 1 + 1^2
= 6400 + 160 + 1
= 6561
(ii)
(198)^2
Use (a - b)^2 = a^2 - 2ab + b^2
(198)^2 = (200 - 2)^2 =
= 200^2 - 2 * 200 * 2 + 2^2
= 40,000 - 800 + 4
= 39,204
(iii)
165 * 155
Use (a + b)(a - b) = a^2 - b^2
165 * 155 = (160 + 5)(160 - 5) =
= 160^2 - 5^2
= 25,600 - 25
= 25,575
(iv)
(7.25)^2 - (2.75)^2
Use a^2 - b^2 = (a + b)(a - b)
(7.25)^2 - (2.75)^2 =
= (7.25 + 2.75)(7.25 - 2.75)
= 10(4.5)
= 45
Please help I don’t get it
Answers
Answer:
Alternate Interior Angles
Step-by-step explanation:
Angle 3 and angle 6 are inside the parallel lines and are opposite sides of the transversal line so, it'd be alternale interior angles.
PLEASE HELP ASAP !! ILL GIVE BRAINLIESTT
Answers
Answer:
C
Steps
The A equation is impossible (even if it looks like solvable with quadratic formula)
Have a good day
9514 1404 393
Answer:
A, C
Step-by-step explanation:
The quadratic formula can be used to solve quadratic (2nd-degree) equations. The degree of the equation is the largest exponent of the variable.
The degrees of these equations are ...
A. 2
B. 3
C. 2
D. 3
Equations A and C are quadratic, so can be solved using the quadratic formula.
please help ill give brainliest!
Answers
Answer:
3,14
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
Each person in a certain group supports only one of the two candidates R and T. Of the people in the group, 45 percent support Candidate R and the rest support Candidate T. How many people in the group are in favor of a flat tax
Answers
Missing Information:
Of the people in the group who support Candidate R, 58 percent are in favor of flat tax Of the people in the group who support Candidate T, 22 are in favor of a flat tax.Answer:
[tex]Total = 26.1\%N + 22[/tex]
Step-by-step explanation:
Given
[tex]R = 45\%[/tex] -- [tex]Percentage[/tex] [tex]of\ R[/tex] in the total population
[tex]Favor\ Flat\ Tax = 58\%[/tex] in group R
[tex]Favor\ Flat\ Tax = 22[/tex] in group T
Required
Determine the number of people that supports T
First, the proportion of those that supports flax rate in R needs to be calculated.
[tex]Proportion = 45\% * 58\%[/tex]
[tex]Proportion = 26.1\%[/tex]
So, those that favor flat tax rate in group R are:
[tex]Favor\ Flat\ Tax = 26.1\%N[/tex]
Where N represents the total population.
Total number of people that supports the flax tax rate is gotten by adding people that support flat tax rate in each group.
[tex]Total = Group\ R + Group\ T[/tex]
[tex]Total = 26.1\%N + 22[/tex]
What is a slope of 3/5 x and a y intercept of -1
Answers
Answer: slope = 3/5 and y intercept is (0,-1)
Step-by-step explanation: use the slope and y intercept form y= mx + b
Find the length of RS 40 10 9 8 A. 73 units B. About 8.5 units C. About 3.3 units D. 11 units
Answers
Answer:
4,9
Step-by-step explanation:
Answer:
It's B
Step-by-step explanation:
Randeep purchased sandwiches and a gallon of milk for himself and his friends. Each sandwich cost $8. The gallon of milk cost $4. The total cost of the meal was $44. Which answer choice represents and solves correctly the equation for x, the number of sandwiches that Randeep purchased? DON'T FORGET THE NUMBER OF SANDWICHES RANDEEP MUST BUY TO REACH $44.
Answers
Answer: He bought 5 sandwiches.
Step-by-step explanation:
We know that he purchased sandwiches (let's suppose that he bought X ) and one gallon of milk.
The cost of each sandwich is $8, then the cost of the X sandwiches will be X times $8, or: X*$8.
The cost of the gallon of milk is $4.
The total cost will be:
$4 + X*$8.
And we know that the total cost was $44, then we have the equation:
$4 + X*$8 = $44
We can solve this for X
X*$8 = $44 - $4
X*$8 = $40
X = $40/$8 = 5
This means that he bought 5 sandwiches
What is the slope of AB in parallelogram ABCD?
Answers
The slope of the line [tex]\overline{AB}[/tex] is the rate at which the line rises at a point.
[tex]\mathrm{The \ slope \ of \ \overline{AB} \ is \ D.} \ \dfrac{5}{2}}[/tex]
Reasons:
The slope of a line is given by the ratio of the rise to the run of the line
The coordinates of point A = (-9, -4)
The coordinates of point B = (-5, 6)
The rise of the line [tex]\overline{AB}[/tex] = The difference in the y-values = (6 - (-4)) = 10
The run of the line [tex]\overline{AB}[/tex] = The difference in the x-values = (-5 - (-9)) = 4
[tex]Slope \ of \ \overline{AB}= \dfrac{Rise \ of \ line \ \overline{AB}}{Run \ of \ line \ \overline{AB}}[/tex]
Therefore
[tex]Slope \ of \ \overline{AB}= \dfrac{10}{4} = \dfrac{5}{2}[/tex]
Learn more here:
https://brainly.com/question/12860056
Are 0.5 and 5 EQUAL TO EACH OTHER?
Answers
Answer: nope
Step-by-step explanation:
Please HELP!!!!!!!! THANK YOU!!!!!!!!
Answers
Answer:
200 animals is the correct answer to the first question.
Given that log x = 3 and log y = 5, find log (x^2)(y^2)- log xy
Answers
Step-by-step explanation:
logx²y² - logxy
= log(x²y²/xy)
= logxy
= logx + logy
= (3) + (5)
= 8.
The value of logx²y² - logxy when log x = 3 and log y = 5 is 8.
What is a logarithm?The logarithm is the opposite of exponentiation as a function. The exponent to which b must be raised in order to obtain a number x is hence the logarithm of a number x to the base b.
Given:
log x = 3 and log y = 5
logx²y² - logxy
Calculate the above expression as shown below,
logx²y² - logxy = log x²y² / xy
logx²y² - logxy = log xy
logx²y² - logxy = logx + logy
logx²y² - logxy = 3 + 5
logx²y² - logxy = 8
Therefore, the value of logx²y² - logxy when log x = 3 and log y = 5 is 8.
To know more about logarithms:
https://brainly.com/question/22626979
#SPJ2
Last month, an airline made 2,905 reservations for flights from Cleveland, Ohio to Newark, New Jersey. After 25 cancellations, there were still 18 full flights. Which airplane made the flights?
Answers
What is true about the domain and range of the function?
A.The domain is all real numbers less than or equal to 4 and the
range is all real numbers such that -3 SS1
B. The doman is alrerumbers such thes-35251 and the
range is real numbers less than or equal to
c. The domain is alreal numbers, and the range is a real
numbers less than or equal to 4
D. The domains all real numbers less than or equal to 4 and the
range is all real numbers
Answers
Answer:
We are all smart but we do st*Upid things. very st*Upid things.
Step-by-step explanation:
Which of the following expressions is not equivalent to (-2)(8 + 6 + -3)?
answers:
1. (-2)(8) + (-2)(6) + (-2)(-3)
2. (-2)(8 + 6) + (-2)(-3)
3. (-2)(8) + (-2)(6 + -3)
4. (-2)(8 + 6) + (-3)
Answers
Answer:
4
Step-by-step explanation:
Hope this helps. Pls give brainliest.
The slope of a vertical line is:
Answers
Answer:
The slope of a line is change in Y / change in X. The slope of a horizontal line = 0, not undefined. The slope of a vertical line = undefined.
the slope of a virtual lin.e is change in Y / change in X