Answer:
-20.2a+5.5
subtract the values with a in it and the ones without the a together.
what is the value of k? ____ units
Answer:
2
Step-by-step explanation:
Corresponding sides are proportional in these similar triangles.
__
short side/long side = k/4 = 4/8
k = 4(4/8) . . . . multiply by 4
k = 2
_____
Additional comment
The lengths of the hypotenuses can be found the same way, or using the Pythagorean theorem. Using side ratios, we have ...
l² = k(k+8) = 2(10) = 20 . . . . from MN/MO = ML/MN
l = 2√5
m² = 8(8+2) = 80 . . . . from LN/LO = LM/LN
m = 4√5
The similarity statements are ...
ΔLMN ~ ΔLNO ~ ΔNMO
working together, rocco and giulia can paint a room in 3 hours. it would’ve taken rocco 7 hours to do the job alone. which equation can be used to determine r, giulia’s rate of work in parts per hour?
Answer:
1/7 + r = 1/3
Step-by-step explanation:
Rocco takes 7 hours to do the job.
In 1 hour, Rocco does 1/7 of the job.
Rocco's rate is 1/7 job per hour.
It takes Giulia x hours to do the job.
In 1 hour, Giulia does 1/x of the job.
Let r = 1/x. Giulia's rate is r part of the job per hour.
Together, Rocco and Giulia take 3 hours to do the job.
In 1 hour, Rocco and Giulia do 1/3 of the job.
Together, their rate is 1/3 of the job per hour.
1/7 + r = 1/3
A school stores expenses and sales for a three-month period are shown in the table below. Month Expense Sales September $125.00 $47.00 October$0.00 $65.00 November $57.00 $28.00 Based on the data in the table, what is the loss or pro t for the store for the three-month period? A. $182.00 loss B. $42.00 loss C. $15.00 profit D. $140.00 profi
t
The school store is in $42 loss , Option B is the correct answer.
What is Profit and Loss ?When the sales is more than the expenses then it is called profit and vice versa is called Loss.
The sales and expenses for three months are given
To calculate overall Profit/Loss
Total Expenses = $125 + $0 +$ 57 = $182
Total Sales = $47 +$65 + $28 = $140
Therefore as sales is less than the expense , The school is in loss
Loss = $ 182 -$ 140 = $42
Thus Option B is the correct answer.
To know more about Profit and Loss
https://brainly.com/question/13934673
#SPJ1
What is the area of the trapezoid? If necessary, round your answer to the nearest tenth.
A trapezoid with bottom side length of 8.5 feet, top side length of 5.5 feet, and height of 6.5 feet.
35.8 feet squared
45.5 feet squared
46.8 feet squared
The area of the trapezoid is calculated as 45.5 feet squared.
What does Area of Trapezoid mean?
The entire area occupied by the sides of a trapezoid is its area. It's important to notice that if we know the lengths of all the sides, we can divide the trapezoid into smaller polygons, such as triangles and rectangles, calculate their areas, and then sum them all together to determine the area of the trapezoid.
The formula for Trapezoid Area:If the parallel sides of the trapezoid are known, along with their height, it is possible to determine their area. It is expressed as,
A=[tex]1/2[/tex](a+b) h
where, A= the area of the trapezoid
h= height
'a' & 'b' = parallel side bases
Solution:a=5.5 feet , b= 8.5 feet & h=6.5 feet
A=[tex]1/2[/tex](a+b)h
∴A=[tex]1/2[/tex](5.5+8.5)*6.5
⇒A=[tex]1/2[/tex](14)*6.5
⇒A=7*6.5
⇒A=45.5 feet squared
Therefore, the solution is (b) 45.5 feet squared.
Learn more about Trapezoid:
https://brainly.com/question/12451654?referrer=searchResults
#SPJ10
The cash price of a mobile phone is $540. Andrea bought the mobile phone by paying $42 monthly instalments over 15 months. Find the flat rate interest of the instalments, give your answer correct to 3 significant figures.
The rate of interest of the instalment is 13%
What is Instalments ?The part payment of a loan is called Instalment
It is given that
The Cash price is $540
Instalment of $42
Time = 15 month = 15/12 = 1.25 years
Total Amount paid = 42 * 15 =$630
Interest Paid is $90
90 = 540 * 1.25 *Rate
Rate = 13%
The rate of interest of the instalment is 13%
To know more about Instalment
https://brainly.com/question/13267432
#SPJ1
Peter works as a dishwasher and earns 7.30 /h. He also receives 7% of the gratuities earned by all the staff. Two weeks ago he worked 32 hours and the gratuities totalled 1587.30. What was Peter's gross pay?
Peter's gross pay will be 1820.9.He put in 32 hours of work two weeks ago, and the tip money came to $1587.30.
What is gross pay?Before taxes, benefits, and other payroll deductions are taken out of an employee's paycheck, that amount is known as their gross pay.
Given data;
Peter earn per hour = 7.30
Gratuities = 7 %
Given condition;
No of hour person work = 32
Gratitutes = 1587.30
Let the gross pay will be x;
x = gratuities + no of hoy\ur work × money earned per hour;
x = 1587.30 + 32 × 7.30
x = 1820.9
Hence,Peter's gross pay will be 1820.9.
To learn more about the gross pay refer;
https://brainly.com/question/14690804
#SPJ1
Peter uses the equation y = StartFraction 13 over 4 EndFraction x to model the number of miles that he has walked in x hours. Which statement is true about the proportional relationship that is modeled by Peter’s equation?
Regarding the proportional connection that Peter's equation simulates, claim C is accurate. Peter moves along at a 13/4 mph walking pace.
What is the equation?An equation is a mathematical statement that uses an equal sign to join two algebraic expressions having the same value.
The complete question is
"Peter uses the equation Y=13/4x to model the number of miles that he has walked in x hours. Which statement is true about the proportional relationship that is modeled by the peat there's the equation?
A:Peter walks a rate of 4/13 miles per hour.
B: Peter walks at a rate of 4 miles per hour.
C: Peter walks at a rate of 13/4 miles per hour.
D: Peter walks at a rate of 13 miles per hour."
Provided equation
Y=13/4x
where y is the distance traveled and x denotes the amount of time.
According to the equation, Peter moves along at a speed of 13/4 miles per hour.
As a result, the proportional connection represented by Peter's equation is valid as stated in assertion C.
To learn more, about equations, refer;
https://brainly.com/question/10413253
#SPJ1
What is the missing fifth term in the
pattern below?
1, 8, 27, 64, ?
Options:
101
125
128
202
250
Answer:
The answer would be 125, because 1*1 = 1 2*2*2= 8 and so forth
Step-by-step explanation:
I hope this helps
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Your equation:}[/tex]
[tex]\mathsf{1, 8, 27, 64, ?}[/tex]
[tex]\huge\textbf{LET'S CONVERT IT TO FOR EASIER}\\\\\huge\textbf{TO UNDERSTAND A WHOLE LOT}\\\\\huge\textbf{BETTER.}[/tex]
[tex]\mathsf{1^3, 2^3, 3^3, 4^3, ?}[/tex]
[tex]\huge\textbf{Notice the pattern?}\\\\\\\\\huge\textbf{So, that means your mystery number}\\\\\huge\textbf{has to be squared (also known as to the}\\\\\huge\textbf{power of 3}[/tex]
[tex]\huge\textbf{Breaking down the exponents}[/tex]
[tex]\mathsf{1^3}\\\mathsf{= 1\times1\times1}\\\mathsf{= 1\times1}\\\mathsf{= \bf 1}[/tex]
[tex]\mathsf{2^3}\\\mathsf{= 2\times2\times2}\\\mathsf{= 4\times2}\\\mathsf{= \bf 8}[/tex]
[tex]\mathsf{3^3}\\\mathsf{= 3\times3\times3}\\\mathsf{= 9\times3}\\\mathsf{= \bf 27}[/tex]
[tex]\mathsf{4^3}\\\mathsf{= 4\times4\times4}\\\mathsf{= 16\times4}\\\mathsf{= \bf 64}[/tex]
[tex]\huge\textbf{If you didn't notice that your}\\\\\huge\textbf{exponents went like 1,2,3,4.}\\\\\\\\\huge\textbf{so that your mystery number has to}\\\\\huge\textbf{be 5 squared}[/tex]
[tex]\mathsf{5^3}\\\\\huge\textbf{That is what I meant \& this should give}\\\\\huge\textbf{you your result to this question.}[/tex]
[tex]\mathsf{5^3}\\\mathsf{= 5\times5\times5}\\\mathsf{= 25\times5}\\\mathsf{=125}[/tex]
[tex]\huge\textbf{The result:}[/tex]
[tex]\huge\boxed{\mathsf{Option\ B. \ 125}}\huge\checkmark[/tex]
[tex]\huge\textbf{The outro}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
[tex]\huge\textbf{Signature}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]Circle Q is shown. Line segments P Q and R Q are radii. The length of R Q is 6. Angle P Q R is 45 degrees. Sector P Q R is shaded.
Which statements are true about circle Q? Select three options.
The ratio of the measure of central angle PQR to the measure of the entire circle is One-eighth.
The area of the shaded sector is 4 units2.
The area of the shaded sector depends on the length of the radius.
The area of the shaded sector depends on the area of the circle.
The ratio of the area of the shaded sector to the area of the circle is equal to the ratio of the length of the arc to the area of the circle.
The statements that are true about circle Q are:
The ratio of the measure of central angle PQR to the measure of the entire circle is 1/8.The area of the shaded sector depends on the length of the radius.The area of the shaded sector depends on the area of the circle.How to explain the circle?The measure of the central angle is 45°. The measure of the entire circle is 360°. This makes the ratio of the central angle to the entire circle 45/360 = 9/72 = 1/8
To find the area of the shaded sector, this will be:
A = πr² = π(6²) = 36π
1/8(36π) = 36π/8 = 18π/4 = 9π/2 = 4.5π square units. This is not 4 square units.
The ratio of the area of the shaded sector to the area of the circle would not be the same as the ratio of the length of the arc to the area of the circle.
Learn more about circle on:
https://brainly.com/question/24375372
#SPJ1
Answer:
1,3,4
Step-by-step explanation:
What are all of the possible classifications for a 3 × 3 system?.
Answer:
consistent and dependent
consistent and independent
Step-by-step explanation:
If a system of equations has no solutions, it is said to be inconsistent.
If a system of equations has at least one solution, it is said to be consistent.
If there is just one solution to a system of equations, it is said to be independent.
If a system of equations has an unlimited number of solutions, it is dependent.
A 3 x 3 system of equations is a three-variable system of equations. That is correct (x, y, z)
A three-by-three-equation system might be dependent, independent, or inconsistent.
A 3 x 3 system of equations can be written as follows:
consistent and self-sufficient (This indicates that there is just one answer.)
Dependable and consistent (It has infinite solutions)
If it is inconsistent, it can neither be dependent nor independent
5. Use the law of Cosines to find each missing sides. Round to the nearest tenth
The measure of angle x will be 88 degrees. Then the correct option is C.
The complete question is attached below.
What is law of cosine?Let there is a triangle ABC such that |AB| = a units, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:
2ab cos θ = a² + b² – c²
The triangle is shown below.
Then the value of the variable x will be
2 · 7 · 10 · cos x = 7² + 10² – 12²
140 · cos x = 49 + 100 – 144
cos x = (149 – 144) / 140
x = 87.95 ≈ 88°
Then the correct option is C.
Learn more about law of cosines here:
https://brainly.com/question/17289163
#SPJ1
With the definition of the derivative, determine the formula logx!
Answer:
sorry i dont know the answer .
I also need help on 3 4 5 if some one can explain it will be really helpful
And I will give 65 points
The equation that shows the relationship between the variables are T = 0.112N, D = 54A and T = 62.5A
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let k represent the constant of proportionality
3) T = kN
28 = 250k
k = 0.112
i) T = 0.112N
ii) T = 0.112(300) = 33.6
iii) 98 = 0.0112N
N = 875
4) D = kA
270 = 5k
k = 54
i) D = 54A
ii) D = 54(4.5) = 243
iii) 324 = 54A
A = 6
5) T = kA
150 = 2.4k
k = 62.5
i) T = 62.5A
ii) T = 62.5(1.8) = 112.5
iii) 3(60) = 62.5A
A = 2.88
The equation that shows the relationship between the variables are T = 0.112N, D = 54A and T = 62.5A
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Hey y’all I need this answer quickly!!!
3/4 - 1/5
Answer:
[tex]\sf \dfrac{11}{20} \quad or \quad 0.55[/tex]
Explanation:
[tex]\rightarrow \sf \dfrac{3}{4} - \dfrac{1}{5}[/tex]
make the denominators same by lcm
[tex]\rightarrow \sf \dfrac{5(3)}{20} - \dfrac{4(1)}{20}[/tex]
expand the following
[tex]\rightarrow \sf \dfrac{15}{20} - \dfrac{4}{20}[/tex]
Join the fractions together
[tex]\rightarrow \sf \dfrac{15-4}{20}[/tex]
Subtract the integers
[tex]\rightarrow \sf \dfrac{11}{20} \quad or \quad 0.55[/tex]
Answer:
11/20 or 0 whole 11/20 or 0.55
Step-by-step explanation:
[tex]3/4 - 1/5[/tex]Find the least common multiple (LCM) of 4 and 5 at first:
We can't do the LCM of 5 and 4,so just multiply them, 5*4 = 20
Now,
For 3/4 : divide 20 by 4,then multiply the result by 3.For 1/5 : divide 20 by 4, then multiply the result by 1. Simple!
[tex] \cfrac{15 - 4}{20} [/tex]Subtracting the numerators,
[tex] \boxed{\cfrac{11}{20} }[/tex]As a whole number:
[tex]\boxed{0 \cfrac{11}{20} }[/tex]As a decimal:
[tex]\boxed{0.55 }[/tex]How have humans contributed to the growing population of Nomura’s jellyfish?
Answer:
Human coastal development has also helped jellyfish thrive. The structures and construction that we have placed in the water, such as piers, marinas, oil platforms, artificial reefs, refuse, rubble, aquaculture pens and structures, etc. provide an abundance of habitats for polyps to settle on.
Use set notation to describe the domain and range of each graph. Use set notation to describe the domain and range of each graph .
The range and domain of the graphs have been determined .
What is Domain and Range of a Function ?Domain is the value that can be an input to the function and the range is all the value a function can obtain.
From the given graphs ,
For Graph 1
It can be seen that the line extends from x = -5 to +4
where -5 is not included
therefore the domain is given by
D = { x| -5 < x ≤4}
and the range is
R = {y | -3 < y≤4}
For Graph 2
The input value x extends from -∞ to +∞
so the domain is
D = { x| - ∞ ≤ x ≤ +∞ }
and the range is given by
R = {y | - ∞ ≤ y ≤ 3}
To know more about Range and Domain
https://brainly.com/question/1632425
#SPJ1
The graph of which function has a minimum located at (4, –3)?
f(x) = one-halfx2 + 4x – 11
f(x) = –2x2 + 16x – 35
f(x) = one-halfx2 – 4x + 5
f(x) = 2x2 – 16x + 35
The parabola with the minimum at (4, -3) is the third option:
[tex]y = 0.5*x^2 - 4x + 5[/tex]
Which of the given parabolas has a minimum at (4, -3)?
Remember that for a parabola of the form:
[tex]y = a*x^2 + b*x + c[/tex]
If a > 0, the minimum is at the x-value of the vertex:
[tex]x = \frac{-b}{2a}[/tex]
If a < 0, there is no minimum (so we discard option 2).
Taking the third option:
[tex]y = 0.5*x^2 - 4x + 5[/tex]
The x-value of the vertex is:
[tex]x = \frac{-(-4)}{2*0.5} = 4[/tex]
As expected.
To get the y-value of the vertex (and minimum) we just evaluate the parabola equation in x = 4.
[tex]y = 0.5*(4)^2 - 4*4 + 5 = -3[/tex]
So the minimum is at (4, -3), as expected, so that is the correct option.
If you want to learn more about parabolas:
https://brainly.com/question/4061870
#SPJ1
Mr. Sanchez’s class sold fruit pies for $1.73 each and Mr. Kelly’s class sold bottles of fruit juice for $1.44 each. Together, the classes sold 83 items and earned $130.83 for their school. Write and solve a system of equations that models this problem. Show all your work.
Answer:
p = 39 f = 44
Step-by-step explanation:
p = $ 1.73
f = $ 1.44
equation
p + f = 83
1.73 p + 1.44 (83 - p) = $ 130.83
p = 39 (amount of times fruit pies were sold).
Therefore,
p = 39
f = 44
What is the solution set for Ix+3| =5?
S-8 and s-8
s=-2 and s=2
s=-8 and s=2
s = 2 and s= 8
A boat is heading towards a lighthouse, where Mason is watching from a vertical
distance of 122 feet above the water. Mason measures an angle of depression to the
boat at point A to be 16°. At some later time, Mason takes another measurement and
finds the angle of depression to the boat (now at point B) to be 66°. Find the distance
from point A to point B. Round your answer to the nearest foot if necessary.
The distance between point A and point B is 371 ft if the Mason measures an angle of depression to the boat at point A to be 16°.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
A boat is heading towards a lighthouse, where Mason is watching from a vertical distance of 122 feet above the water. Mason measures an angle of depression to the boat at point A to be 16°.
We can draw the above situation as a form of a right-angle triangle.
From the figure, the distance between AB is x ft
From the right angle triangle DBC:
tan66 = 122/CB
CB = 54.31 ft
From the right angle triangle DAC
tan16 = 122/AC
AC = 425.46 ft
x = AC - CB
x = 425.46 - 54.31
x = 371.15 ft ≈ 371 ft
Thus, the distance between point A and point B is 371 ft if the Mason measures an angle of depression to the boat at point A to be 16°.
Learn more about trigonometry here:
brainly.com/question/26719838
#SPJ1
A machinist who had been producing 40 parts per day increased to the out put of 60 parts per day by going to a faster machine. How many times faster is the new machine? Wright your answer as a mixed number.
Show how you would convert 500 A.U. into light-years.
Someone please help I’m so lost
Answer:
0.00790625
Step-by-step explanation:
499.9997656975
Astronomical unit
=
0.00790625
Light-year
Formula
for an approximate result, divide the length value by 63240
Determine if the lines through each set of ordered pairs are parallel, perpendicular, or neither. Explain your answer. Ordered pairs: (8, 3) (-2, 5) and (-2, -5) (-1, -10)
Considering the slope of the lines, it is found that the lines going through the points are neither parallel nor perpendicular.
When are lines parallel, perpendicular or neither?The slope, given by change in y divided by change in x, determines if the lines are parallel, perpendicular, or neither, as follows:
If they are equal, the lines are parallel.If their multiplication is of -1, they are perpendicular.Otherwise, they are neither.In this problem, the slopes are given as follows:
m1 = (5 - 3)/(-2 - 8) = -2/10 = -1/5 = -0.2.m2 = (-10 - (-5))/(-1 -(-2)) = -5/1 = -5.The multiplication is of 1, not -1, hence they are neither parallel nor perpendicular.
More can be learned about the slope of a line at https://brainly.com/question/12207360
#SPJ1
find the area of the rectangle below
(3x+4) feet x
(x+3) feet
select the correct answer
Answer:
3x^2+ 13x + 12
Step-by-step explanation:
Multiply the length and width:
(3x+4) * (x+3)
FOIL method:
3x^2 + 9x + 4x + 12
Combine like terms
3x^2+ 13x + 12
complete each
1. 570 mL = _______________ L
2. 623 cm3 = _______________ m3
3. 38 gal. = _______________c
4. 585mL = ________________tbsp
5. 20 fl. oz. = ________________ tsp
6. 12 hrs =________________ min
Answer:
1. 570 mL = 0.57 L
2. 623 cm3 = 0.000623 m3
3. 38 gal. = 608 cups
4. 585mL = 39.5624 tbsp
5. 20 fl. oz. = 120 tsp
6. 12 hrs = 720 min
Step-by-step explanation:
1. 570 mL to L
divide the volume value by 1000, 570 / 1000 = 0.57
2. 623 cm3 to m3
divide the volume value by 623/10^6 = 0.000623
3. 38 gal. to c
1 gallon is 16 cups,
multiply the volume value by 16, 38 x 16 = 608c
4. 585mL to tbsp
for an approximate result, divide the volume value by 14.787
14.787 x 585 = 39.5624
5. 20 fl. oz. to tsp
multiply the volume value by 6, 20 x 6 = 120
6. 12 hrs to min
1 hour is 60 minutes
multiply the time value by 60
12 x 60 = 720
PLEASE ANSWER ASAP!!!!!!!!!!
The graph of a cosine function has an amplitude of 3, a vertical shift of 1, and a period of 4. These are the only transformations of the parent function.
Use the Sine tool to graph the function.
The first point must be on the midline, and the second point must be a maximum or minimum value on the graph closest to the first point.
(please include a graph when you answer)
The equation of the sin function is y = 3sin(πx/2) + 1, and the graph of the function is shown in the picture.
What is sin function?It is defined as a function that is sinusoidal in nature, and it has a domain of all real numbers and lies between the [a, a]where is the amplitude of the function.
As we know the sin function is represented by:
y = Asin(Bx) + C
Here,
A = The amplitude = 3
C = The vertical shift = 1
B - The period in terms of π
B = 2π/amplitude
B = 2π/4
B = π/2
The becomes:
[tex]\rm y = 3sin(\dfrac{\pi }{2}x)+1[/tex]
Thus, the equation of the sin function is y = 3sin(πx/2) + 1, and the graph of the function is shown in the picture.
Learn more about the sin function here:
https://brainly.com/question/14397255
#SPJ1
What is the y-value in the solution to this system of linear equations?
4x + 5y = -12
-2x + 3y = -16
O-4
O-2
O2
O 5
Step-by-step explanation:
please mark me as brainlest and follow me
The interest on Rs. 300 for 5 years is Rs. 37.50. What will be the interest on Rs. 100 for the same years?
Answer:
the interest for 100 in 5 years us 12.5
which wifi standards use the 2.4ghz frequency
The standards that use 2.4 GHz are:
IEEE 802.11bIEEE 802.11gIEEE 802.11n (it uses both 2.4 GHz and 5 GHz)IEEE 802.11ax (it uses both 2.4 GHz and 5 GHz)What is a wifi standard?
A wifi standard defines two characteristics of the wi-fi network, which are speed and frequency.
Such that there are two common frequencies, 2.4 GHz (usually with larger speed) and 5 GHz (usually with lower speed)
The standards that use 2.4 GHz are:
IEEE 802.11bIEEE 802.11gIEEE 802.11n (it uses both 2.4 GHz and 5 GHz)IEEE 802.11ax (it uses both 2.4 GHz and 5 GHz)If you want to learn more about wifi:
https://brainly.com/question/6947486
#SPJ11
Quadrilateral ABCD was rotated 360° clockwise with the origin as the center of rotation to create a new figure. Which rule describes this transformation?
A (x, y)-(x,y)
B(x, y)(x, y)
c(x, y)-(x, y)
D (x, y)-(x, y)
The rules describes the transformation is (x, y)(x, y).
The correct option is (B)
what is Transformation?A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.
If the figure is rotated 360 degrees then the coordinates remains unchanged.
This is because when from where it started it stops there again.
As the 360 degree rotation is complete circle rotation.
Learn more about this concept here:
https://brainly.com/question/16775925
#SPJ1
