Answers
Step-by-step explanation:
pythagorean theorem states
c²=a²+b² where c is the longest line a is the base while b is the height thus
example
1)c²=a²+b²
12²=a²+8²
144=a²+64.
144-64=a²
80=a² a=√80. =8.9
2)c²=a²+b²
15²=4²+b²
225=16+b²
225-16=b²
209=b² b=√209. =14.45
3)c²=a²+b²
c²=5²+9²
c²=25+81
c²=106. c=√106. =10.295
I hope you have understood I will do the other ones simply
4)26²=18²+a²
676-324=a²
√352=a. a=18.761
5)10²-6²=b²
100-36=b² b²=64. b=8
6)c²=12²+9²
=144+81.
c² =225. c=15
1...
Formula= A=C^2-B^2
A=12^2-8^2
A=144-64
144-64=80
√80 = 8.944
Rounded = 8.9
2...
Formula= A=C^2-B^2
A=15^2-4^2
A= 225-16
225-16=209
√209= 14.456
Rounded= 14.5
3...
Formula= A^2+B^2=C^2
9^2+5^2=C^2
81+25=106
√106= 10.295
Rounded= 10.3
4...
Formula= A^2=C^2-B^2
A^2= 26^2-18^2
A^2=676-324
676-324=352
√352=18.761
Rounded= 18.8
5...
A^2=C^2-B^2
A^2=10^2-9^2
100-91=9
√9=3
6...
Formula= A^2+B^2=C^2
9^2+12^2=C^2
81+144=225
√225=15
Code= 8.9, 14.5, 10.3, 18.8, 3, 15.
Related Questions
the nth term of a sequence is 3n2/2
Answers
Question:
The nth term of a sequence is [tex]\frac{3n^2}{2}[/tex] . Find the fifth term of the sequence
Answer:
The 5th term of the sequence is 37.5
Step-by-step explanation:
Given
[tex]nth\ term = \frac{3n^2}{2}[/tex]
Required
Find the 5th term
To find the 5th term, we simply substitute 5 for n in the above expression.
This gives
[tex]5th\ term = \frac{3 * 5^2}{2}[/tex]
[tex]5th\ term = \frac{3 * 5 * 5}{2}[/tex]
[tex]5th\ term = \frac{75}{2}[/tex]
[tex]5th\ term = 37.5[/tex]
Hence, the 5th term of the sequence is 37.5
Mr. Malone is contemplating which chauffeured car service to take to the airport. The first costs $28 upfront and $2 per mile. The second costs $13 plus $5 per mile. For a certain driving distance, the two companies charge the same total fare. What is the distance?
Answers
Answer:
The distance is 8 miles.
Step-by-step explanation:
First, we need to write an equation for each of chauffeured car services.
The first one = 28 + 2x = ?
The second one = 13 + 5x = ?
Next, we need to figure out what x is. Usually I just plug in random numbers, but I'm sure there's a better way to do it.
I first plugged in 2 as x.
28 + 4 = 32
13 + 10 = 23
That didn't work, so I then plugged in 5.
28 + 10 = 38
13 + 25 = 38
So 5 would be the correct answer for what is the distance.
will mark brainliest, need help.
Answers
Answer:
(0, -4)
Step-by-step explanation:
The lines intersect at 0, -4. That is also the solution.
Answer:
D
Step-by-step explanation:
The solution of two functions is the point(s) where they intersect. Since these two graphs intersect at the point (0,-4), this is the solution to the system. Hope this helps!
If f(x)=3x^2and g(x) =x+2 find (f •g)(x)
Answers
Answer:
3x^2+12x+12
Step-by-step explanation:
i think you just sub in x+2 into 3x^2
A brick weighs w kg. Write an expression for the weight of 12 bricks.
Answers
The function g(x) = x2 is transformed to obtain function h:
h(x) = g(x) + 1.
Answers
Answer:
Step-by-step explanation:
Solve 3 (3 - 3x) +4= -5.
Answers
Answer:
x=2
Step-by-step explanation:
3 (3 - 3x) +4= -5
Subtract 4 from each side
3 (3 - 3x) +4-4= -5-4
3 (3 - 3x)= -9
Divide by 3
3/3 (3 - 3x) = -9/3
3-3x = -3
Subtract 3 from each side
3-3x-3 = -3-3
-3x = -6
Divide by -3
-3x/-3 = -6/-3
x = 2
A local middle school adopted a policy for school uniforms. Students can wear black pants or tan pants. They can wear a yellow shirt, a red shirt, a green shirt, or a white shirt. The tree diagram shows the possible outfit choices.
Answers
Answer:
There are 8 possible outfit choices
Step-by-step explanation:
you multiply 2 times 4 because there each shirt can pair to each pants once
3/16 Write as a decimal and as a percent
Answers
Answer:
0.1875 as a decimal and 18.75% as a percent
Step-by-step explanation:
0.1875 is the decimal. Move point over 2 spots right to get percent.
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!
Answers
Answer:
-2 = not in domain
0= in domain
3= in domain
9x+18=-20
what does X =
Answers
Answer:
x=-4.22222
The 2 is repeating
Step-by-step explanation:
First you subtract 18 from both sides
9x=--38
Then divide both sides by 9
x=-4.22222
The 2 is repeating
AnsWER
X=-2/9
Step-by-step explanation:
9X=-20-18
9X=you will divide both sides by -9
X=-2/9
Pleases HELP anybody?? Ill mark you brilliance!
Answers
Answer:
Step-by-step explanation:
P=8/13≈0.62
Calculate the surface area of the tent :
(Problem number 6)
Answers
Answer:
374 feet^2
Step-by-step explanation:
Surface area:
area of cross section x 2 = 110feet^2
area of tope x 2 = 264 feet^2
sum / Surface area: 374 feet^2
HELP ASAP!!
Determine the surface area of the figure built out of blocks.
A) 30 sq. Units
B) 26 sq. Units
C) 22 sq. Units
D) 19 sq. Units
Answers
Answer:
i think it's s d because that's how many sq. there are
What is the quotient when (x + 2) is divided into the polynomial 2x2 - 2x - 12?
Answers
Answer:
2(x-3)
Step-by-step explanation:
2x² - 2x - 12= 2(x²-x+6)= 2(x²+2x- 3x+6)= 2(x-3)(x+2)
(2x² - 2x - 12)/(x+2)= 2(x-3)(x+2)/(x+2)= 2(x-3)Which graph represents y=3 square rootx +2 ?
Answers
An online company lets you download songs for $0.99 each after you have paid a $5 membership fee. Which domain would be most appropriate to calculate the cost to download songs? *
A.rational numbers greater than zero
B.whole numbers greater than or equal to one
C.integers less than or equal to zero
D.whole numbers less than or equal to one
Answers
Answer:
I assume that songs are $0.99 each. Let x represent the number of songs you download. Then the total cost of downloading x songs would be
C(x) = $5.00 + ($0.99/song)x
and ONLY integers = to or greater than 0 make sense here. The domain is [0, 100) assuming you cannot buy more than 100 songs.
Personally I'd give the answer as "2, whole numbers more than or equal to zero." However, IF you don't pay the membership fee until ready to actually order one or more songs, then "2, whole numbers greater than or equal to one" makes sense. You'd pay $5 plus $0.99 for one song, in that case.
Step-by-step explanation:
Jun-seo notices that there are 13 right-handed players on his baseball team and 2 left-handed players. What is the ratio of right-handed players to left-handed players?
Answers
Answer:
The ratio of right handed to left handed players is 13 to 2
Step-by-step explanation:
Here in this question, we are asked to give the ratio of right handed to left handed players.
To give this ratio, we shall need to know the numbers of right handed players and left handed players.
From the question, we can see that there are 13 right handed and 2 left handed players.
Thus, the ratio of right handed to left handed players is 13:2
The perimeter of a room is 43 ft. The width is 9 1 2ft. What is the length?
Answers
Answer: The length is 12 ft.
Step-by-step explanation:
So a room is likely to be in a shape of a rectangle. And to to find the perimeter of a rectangle will use the formula P = 2w + 2l so in this case we know the perimeter and and the width but we need to find the length.
so using the formula we could do this
43 = 2(9.5) + 2l
43 = 19 + 2l subtract 19 from both sides
-19 -19
24 = 2l Divide both sides by 2
l = 12
The length is 12.
Check: 43 = 2(9.5) + 2(12)
43 = 19 + 24
43 = 43 correct so the length is 12.
I will give you brainliest!!!!! Use the substitution method to solve for the system of equations. x+2y=6 y=x-3
Answers
Answer:x=4 y =1
Step-by-step explanation:
your welcome
Answer:
x = 4, y = 1
Step-by-step explanation:
Substitute the y in the first equation for x-3
X + 2(x-3) = 6
3x -6 = 6
3x = 12
x = 4
Plugging 4 into the second equation
y = 4-3
y = 1
Find the slope-intercept equation of the line containing (1.-4) and having slope m = 3
Answers
Answer:
y=3x-7
Step-by-step explanation:
Which one the following is a polynomial?
A. x^3-4x^2+√x-5
B. √2x^3-2x^2+3x-1
Answers
Answer:
B
Step-by-step explanation:
A has a sqrt(x) as a term, which makes it not a polynomial
..solve the following as fast as
you can using the properties
of additition and multiplication
a)365+94+35
b)896+423+104
c)379×25×4
d)89×125×8
Pls answer fast
Answers
Answer:
i hope this will help you
Step-by-step explanation:
a 365+94+35
=494
b 896+423+104
=1423
c 379×25×4
=45480
d 89×125×8
=89000
A man drove 14 mi directly east from his home, made a left turn at an intersection, and then traveled 3 mi north to his place of work. If a road was made directly from his home to his place of work, what would its distance be to the nearest tenth of a mile?
Answers
This would make a right triangle. Use the Pythagorean theorem to solve.
X = sqrt(14^2+ 3^2)
X = sqrt( 196 + 9)
X = sqrt(205)
X = 14.3178
Rounded = 14.3 miles
A trail mix contains peanuts raisins and m&ms in the mix the amount of peanuts is three times the amount of m&ms;and the amount of raisins is two times the amount of m&ms.let m represent the amount of m&ms.write and simplify an expression for the total number of pieces of food in the trail mix
Answers
Answer:
6m
Step-by-step explanation:
m =number of M&M's
3m=number of peanuts
2m=number of raisins
m+3m+2m=total number of pieces of food=6m
If the point (9, 5) is translated 6 units left and 5 units up, then find the
translated coordinates of the point.
Answers
Answer:
I think it might be (-3,10). I am not a 100% sure.
Step-by-step explanation:
please help me thankyou lol
Answers
Answer:
Yes, they are congruent
Step-by-step explanation:
They are congruent because they both have same length sides
a = 6 and b = 24 work out the values a) a+b b) ab c) b/a d) d) (a+b)^2
Answers
Answer:
a) 30
b) 144
c) 4
d) 900
Step-by-step explanation:
a) 6 + 24 = 30
b) 6 * 24 = 144
c) 24 ÷ 6 = 4
d) [tex]30^2=900[/tex]
Answer:
a) 30
b) 144
c) 4
d) 900
Step-by-step explanation:
a) 24+6
b) 6(24)
c) 24/6
d) (24+6)^2
Solve the system.
2x + y = 3
−2y = 14 − 6x
Answers
2x+y=3
6x-2y=14
Then the 6x and 2x would turn into a -4x and the -2y and y would turn into 3y and the 14 and 3 would turn into a -11
Answer:
y= -2 x= 3
y= 3 x= -7
Step-by-step explanation:
Appendix
Fofit and Loss
man bought 10 bags for Rs 5,000. He sold 7 bags at Rs 550 each and the remaining
bags at the rate of cost price. Find his profit percent.
