Marcus takes 5 steps to move from 8 inches to 113 inches.
Write an equation for this situation then solve for the length of one step.
Hint: Let x = length of one step
The length of one step is 21 inches
Let x = length of one step
Since Marcus takes 5 steps to move from 8 inches to 113 inches, then the length of one step will be calculated thus:
x = (113 inches - 8 inches) / Number of steps
x = (113 inches - 8 inches) / 5
x = 105 inches/5
x= 21 inches
In conclusion, the length of one step is 21 inches
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https://brainly.com/question/16450098
a right triangle has a hypotenuse of length 2 inches. if one angle is 38°, find the length of each leg
Answer:
21
Step-by-step explanation:
If a/b < c/d with b > 0, d > 0, prove that a+c / b+d lies between the two fractions a/b and c/d .
Divide through everything by b :
[tex]\dfrac{a+c}{b+d} = \dfrac{\dfrac ab + \dfrac cb}{1 + \dfrac db}[/tex]
Since a/b < c/d, it follows that
[tex]\dfrac{a+c}{b+d} < \dfrac{\dfrac cd+\dfrac cb}{1 + \dfrac db}[/tex]
Multiply through everything on the right side by b/d to get
[tex]\dfrac{a+c}{b+d} < \dfrac{\dfrac{bc}{d^2}+\dfrac cd}{\dfrac bd+1} = \dfrac{\dfrac cd\left(\dfrac bd+1\right)}{\dfrac bd+1} = \dfrac cd[/tex]
and so (a + c)/(b + d) < c/d.
For the other side, you can do something similar and divide through everything by d :
[tex]\dfrac{a+c}{b+d} = \dfrac{\dfrac ad + \dfrac cd}{\dfrac bd + 1}[/tex]
and a/b < c/d tells us that
[tex]\dfrac{a+c}{b+d} > \dfrac{\dfrac ad + \dfrac ab}{\dfrac bd + 1}[/tex]
Then
[tex]\dfrac{a+c}{b+d} > \dfrac{\dfrac ab + \dfrac{ad}{b^2}}{1 + \dfrac db} = \dfrac{\dfrac ab\left(1+\dfrac db\right)}{1 + \dfrac db} = \dfrac ab[/tex]
and so (a + c)/(b + d) > a/b.
Then together we get the desired inequality.
I struggle with these, please help.
Answer:
5/12
Step-by-step explanation:
tan=opposite/adjacent
tan30=5/12
Answer:
Tanθ = opposite/adjacent
[tex] \tan(30) = \frac{5}{12} [/tex]
I hope I helped you^_^
Which of the following measures the variability of a data set?
A. median
B. MAD
C. mode
D. mean
Answer:
A
Step-by-step explanation:
The answer is the median because it shows how data are being scattered
the mean of seven numbers is 15. when three numbers are added, the mean of ten numbers becomes 12. find the mean of the three numbers.
Answer:
3 is the value I guess because with seven it becomes 15 where as with 10 it become 12 so there is 3 numbers gap
I don't know exactly so I just try
Answer:
13 is the answer
Step-by-step explanation:
Madura is 25 years younger than her father. Nadira's mother is two years younger than her father. Together Nadira, her mother and father have a combined age of 78. Work out their ages.
just solve by yourself
A man bought a car for Naira 120000 and later sold it at a loss of 6%calculate the selling price
Answer:
7200
Step-by-step explanation:
Formula: Loss = C.P. – S.P. Remember: Loss or Profit is always computed on the cost price.
6% of 120000=7200
3729*846+289*3729-3729*135 can be solved using which property
Answer:
BODMAS
the answer is 3,729,000
Have a good day !
Simplify the following expression and show your work in details please .
Answer:
Assuming you just want it simplifies, the answer would be m+5
Step-by-step explanation:
4m+5-3m -------> combining like factors
m+5
Marissa earns $1,000 after taxes twice a month. Marissa's monthly bills are $1,200. Marissa deposits 40% of her remaining monthly income into a savings account and annually saves:
She saves $3,840 annually into savings account
1. Marissa earns $1,000 after taxes twice a month
This means Marissa earns $2,000 ($1000 x 2) after deduction of taxes
2. Marissa's monthly bills are $1,200.
The monthly bills means expenses that Marissa incurred during the month.
3. Marissa deposits 40% of her remaining monthly income into a savings account
The balance of Marissa earnings per month after deduction of his expenses (bills) is $800 ($2,000 - $1,200).
She deposits 40% of $800 into a savings account.
= 40% x $800
= $320
So, she is saving $320 out of the remaining $800 she has per month.
4. Marissa annually save?
She saves $3,840 annually ($320 x 12 months) into savings account.
However, she has a disposable income of $480 per month, equivalent to $5,760 per annum.
See related question here https://brainly.com/question/18917500
QOX
7. A total of 2000 people attended a benefit
concert was held to raise money for a
children foundation. Student ticket cost $2
and an adult ticket cost $3. If the organizer
raises a total of $5050, how many students
attended the concert?
Let x = number of students
Let 2000 - x = number of adults
Need explanation
Answer: Student ticket cost $2 and an adult ticket cost $3.
257 kids total attended
Step-by-step explanation:
Determine which of the following mappings are functions. If the relation is not a function, indicate why it is not.
Step-by-step explanation:
1. the first mapping is a function
2. the second mapping is not a function, because: B has 2 relations, C & E have no relations.
3. the third mapping is a function
4. the fourth mapping is not a function, because B has no relation.
what is into relation with suitable example
Answer:
the relation between the x-values and y-values of ordered pairs
Write the equation of the function graphed below:
x) =x√3
x
3
– 4
f(x) =x√3
x
3
+ 4
f(x) = 2x√3
x
3
+ 4
f(x) = 2x√3
x
3
–4
Answer:
(d) f(x) = 2∛x -4
Step-by-step explanation:
The graph is of a cube root function that has been vertically scaled by a factor of 2 and translated down 4 units. The equation of the function can be written ...
f(x) = 2∛x -4
Answer:
f(x) = 2x√3
x
3
–4
Step-by-step explanation:
plz help brainiest to whoever right
Answer:
They add up to equal 90 degrees.
Find the slope and the y-intercept of the line.
Answer:
slope=-1/5
y intercept=8
Hope this helps
Step-by-step explanation:
Answer:
Slope = -1/5
y-intercept: 8
Step-by-step explanation:
The line equation is y = mx + b, where m is the slope and b is the y-intercept.
We see that m is replaced by -1/5 and that b is replaced by 8.
Hope this helps!
The quadratic equation y = - 16t^2+ 56t+ 2 represents the height of a projectile,
y, in feet, at a particular time, t, in seconds.
For what interval or intervals of time will the projectile be above 26 feet?
Answer:
0.5 < x < 3
or (0.5, 3)
Step-by-step explanation:
-16t² + 56t + 2 = 26
Subtract both sides by 26
-16t² + 56t + 2 = 26
-26 -26
-16t² + 56t - 24 = 0
Divide both sides by -8 to simplify
(-16t² + 56t - 24)/8 = 0/8
2t² - 7t + 3 = 0
Factor
(x - 3)(2x - 1) = 0
Do this to find the x's
x - 3 = 0
+ 3 +3
x = 3
2x - 1 = 0
+ 1 + 1
2x = 1
2x/2 = 1/2
x = 0.5
0.5 < x < 3
This means the intervals will have to be between 0.5 and 3 seconds
factorize given
[tex]4sin ^{2} \alpha - 5 sin \alpha - 6[/tex]
Step-by-step explanation:
Hey there!
See the attached picture.
Hope it helps!
-22+(-16)=
Help me please
Answer:
[tex] - 22 + ( - 16) = - 22 - 16 = -3 8[/tex]
I hope I helped you^_^
Answer:
-38
Step-by-step explanation:
A good trick is to add it normally and just apply the sign
Fill in the blank
А______
is a general mapping or pairing of input values with output value
Your answer:
expression
equation
relation
inequality
derivative
How do you calculate frequency? If there are 138 bright white phones out of 1301 total phones, how do I calculate the frequency?
300000000000000000000000
If 45.78 ÷ 1.7 is written in long division form as long division set up where 17 is on the outside of the division symbol and 45780 is on the inside so that the divisor is written as a whole number, where should the decimal point be placed in the dividend?
Answer:
The decimal point should be placed after the 0 in 45780.
Step-by-step explanation:
Answer the questions by drawing on the coordinate plane below. A) Draw the image of □PQR after a rotation of 180° about the origin. Label the image □ P'Q'R. B) Draw the image of □ PQR after a reflection across the x-axis. Label the image □P'Q'R. (Will Mark Brainliest. Show your work to get Brainliest.
Answer: See the attached image below
==========================================================
Explanation:
Part A
The rule for a 180 degree rotation about the origin is
[tex](x,y) \to (-x,-y)\\\\[/tex]
The x and y values flip in sign from positive to negative, or vice versa.
A point like P(1,-1) will move to P ' (-1, 1) as shown in the first diagram. Points Q and R follow the same idea.
Side note: It doesn't matter if we rotate clockwise or counterclockwise. We'll end up at the same result. This only works for 180 degree rotations.
----------------------------
Part B
When we apply an x-axis reflection, we apply this rule
[tex](x,y) \to (x,-y)\\\\[/tex]
This rule is nearly the same as the previous rule, but this time the x coordinate stays the same.
For example, the point P(1,-1) moves to P ' (1, 1)
The same applies to points Q and R as shown in the second diagram.
Write down what you know from the markings
Answer:
Same makings on the lines and angles indicate they are congruent (have same measure).
As per drawing:
MI = MY as both line segments have same single marking.IC = KC as both line segments have same double marking.m∠M = m∠I as both angles have same angle marking.hellp mee plzz in these all with proper formula
Step-by-step explanation:
the answer is in picture
A 20 in board is to be cut into 3 pieces so that the second piece is 4 times as long as the first piece and the third piece is 5 times as long as the first piece. If x represents the length of the first piece , find the length of all three pieces
Answer:
first piece: 2in
second piece: 8in
third piece: 10in
Step-by-step explanation:
We have
first piece + second piece + third piece = 20
second piece = 4 * first piece = 4x
third piece = 5 * first piece = 5x
x + second piece + third piece = 20
plug 4x in for the second piece, 5x in for the third
x + 4x + 5x = 20
combine like terms
10x = 20
divide both sides by 10 to isolate x
x = 2
second piece = 4x = 8
third piece = 5x = 10
Hi, Find k, if x+2k is a factor of p(x). p(x) =3x^2+6kx^2-14x-3
Pls answer this and u will be given the brainliest crown !!!
The first person gets it if the answer is correct
Answer:
Step-by-step explanation:
First off, your polynomial should be a third degree, not a second degree. That's probably why you didn't get someone to answer this for you already.
If x + 2k is a factor of that polynomial, then by the Zero Product Property
x + 2k = 0 and x = -2k. That means that, by the factor theorem, f(-2k) = 0 (which means that if you plug -2k in for all the x's you get a zero). Therefore,
[tex]3(-2k)^3+6k(-2k)^2-14(-2k)-3=0\\-24k+24k+28k-3=0\\28k-3=0\\28k=3\\k=\frac{3}{28}[/tex]
Answer:
the answer is in picture
How would you solve for f(-x) ?
f(x) = x^2 +3x + 9
9514 1404 393
Answer:
f(-x) = x^2 -3x +9
Step-by-step explanation:
Use -x as the argument of the function.
f(-x) = (-x)^2 +3(-x) +9
f(-x) = x^2 -3x +9 . . . . . . . . simpify
How do i express x^2-3x into the form of (x-m)^2+n.
I will give brainliest to first correct answer
Well this could be incredibly easy, by just saying [tex]m=0[/tex] and [tex]n=-3x[/tex].
This is a completely valid case but nevertheless seems too easy. The requirements are probably that n and m are integers or natural numbers but since that was not specified such probable requirement ought not to be followed.
Hope this helps :)