Answer:
Step-by-step explanation:
A wheel is made of a circular rim and 8 spokes as shown.
The length of each spoke is 37cm
WORK OUT THE TOTAL LENGTH OF THE RIM AND SPOKES.
Answer:
528.6
Step-by-step explanation:
find the circumference of the circle using:
πd: 22/7*74
add the length of the 4 strokes: 37*8
add the two:
Answer:
528.48cm
Step-by-step explanation:
Total length of all the spokes
37cm*8 = 296cm
Length of the circular rim
2πr = Circumference
2(37)π = 74π
74π = 232.48cm
Overall Length
232.48cm + 296cm = 528.48cm
Simon's salary has increased by 6% p.a. over the past three years. it is now $35730.40 p.a.
a) what did he earn per year three years ago
b) what is his gross monthly salary at the present rate
c) His deductions each month amount to 22.5% of his gross salary. what is his net pay per month?
Answer:
Step-by-step explanation:
The employee earns $10,100/month, with his employer paying 1.5 times the regular rate of pay for overtime hours. To date, he has earned $124,740 during the year. He has requested that his employer withhold 12% of gross pay, which is to be contributed to a 401(k) plan. Taxable income for federal income tax withholding = $
(a) Simon's salary three years ago is $33586.576.
(b) Gross monthly salary at the present is $2798.88.
(C) Net pay per month is $2169.09.
What is a word problem?
A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
The Simon's salary at present = $35730.40 p.a.
Increased rate = 6% = 0.06
(a) Simon's salary three years ago:
⇒ [tex]\$35730.40(0.06)[/tex]
⇒ [tex]\$2143.824[/tex]
Original salary of Simon,
⇒ [tex]35730.40-2143.824[/tex]
⇒ [tex]\$33586.576[/tex]
(b) Gross monthly salary at the present:
⇒ [tex]\frac{33586.57}{12}[/tex]
⇒ [tex]2798.88[/tex]
(C) Net pay per month:
Deductions each month amount to 22.5% of his gross salary,
⇒ [tex]22.5\%=0.225[/tex]
⇒ [tex]2798.88(0.225)[/tex]
⇒ [tex]\$629.79[/tex]
Thus net pay per month,
⇒ [tex]2798.88-629.79[/tex]
⇒ [tex]\$2169.09[/tex]
Hence we can conclude that
(a) Simon's salary three years ago is $33586.576.
(b) Gross monthly salary at the present is $2798.88.
(C) Net pay per month is $2169.09.
Learn more about word problems here
brainly.com/question/20594903
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Ill give BRAINLIEST I NEED HELP
Answer:
∠G
Step-by-step explanation:
The tangent of an angle is given by the following trigonometric ratio;
[tex]tan\angle X = \dfrac{Opposite \ leg \ length}{Adjacent \ leg \ length}[/tex]
From the question, we have;
tan ∠K = 6/8
ΔGIH is similar to ΔKJL
By observation of the length, we have;
Segment HI and segment JL are corresponding segments
Segment KL and segment HG are corresponding segments
∴ ∠K and ∠G are corresponding angles
∴ tan∠G = tan∠K = 6/8
The angle whose tangent is 6/8 is ∠G
3x + 8 = 3x+
What value could you write in after 3x that would make the equation true for:
no values of x?
Answer:
any number except 8
Step-by-step explanation:
find the missing number that will make the statement true
Above are Joe’s bank account records. What is Joe’s ending balance? Please help
Answer:
$425
Step-by-step explanation:
475 - 50 = 425
The price for a house with an area of 56 mx 48 m is RM375 800. Calculate the price for 1
square meter of the house correct to three significant figures.
A string of lights has two blinking lights. One blinks every twelve minutes while the other blinks every forty four minutes. If they both blinked at 1pm, when is the next time they will blink again. (Find the LCM (Least Common Multiple))
Answer:
They will both blink again at 3:12 pm.
Step-by-step explanation:
As indicated by the question, the way to solve is to find the Lowest (or Least) Common Multiple of both numbers.
As such:
[tex]\text{List the factors of 12 and 44:}\\12=2*2*3\\44=2*2*11\\\\\text{Take the common factors only once and multiply them by the non-common factors:}\\2*2*3*11=132 \text{ (LCM)}[/tex]
Now knowing the LCM is 132, we convert those minutes into hours and minutes:
[tex]\frac{132}{60}=2\frac{12}{60} \text{ (2 hours and 12 minutes)}[/tex]
Add this to the original time:
[tex]1:00\text{ pm } + \text{ }2:12 \text{ }= \text{ }3:12\text{ pm}[/tex]
help plzzzzzzzzzzzzzz
Answer:
a) 20ft
Step-by-step explanation:
just multiply the model length and the scale factor
20 points!! Pls help
Answer:
(-4, 1)Step-by-step explanation:
-x-3=y, therefore x = -y-3
-3x - 8y = 4
Find the value of y
Substitute the x in -3x - 8y = 4 with -y-3
We get
-3·(-y-3) - 8y = 4
3y + 9 - 8y = 4
-5y = 4-9
-5y = -5
y = 1_______________
Find the value of x
x = -y-3
x = -1-3
x = -4_______________
Answer (x, y) =
(-4, 1)_____________________
#IndonesianPride - kexcvi
Answer:
Ok Here:
Step-by-step explanation:
STEP BY STEP
Substitution:
-x-3=y
-3x-8y=4
Solve for X Substitute for Y
-3x-8(-x-3)=4 -(-4)-3=y
-3x+8x+24=4 4-3=y
5x+24=4 y=1
-24
5x=-20
5/5 = -20/5
x=-4
Solution: (-4,1)
Isaiah has $12.00 to pay the admission fee and play games at a local fair. There is a $5.00 admission fee, and each game costs $0.25. Write an inequality?
May someone please help me with this :)
Answer:
14.3 yd
Step-by-step explanation:
apply the pythagorean Theorem formula:
= sqrt(14^2 +3^2)
= sqrt(205)
roughly 14.3 yd
The price of a 7-minute phone call is $1.05. What is the price of a 15-minute phone call?
The price of a 15- minute phone call is $
plz help me O_O
2.25$. The call is priced at 15 cents per minute
Kate sold a sailboat at a loss of 20%. If the selling price was $64, what was the original cost?
So she lost 20% of the original selling price.
$64 is 80% of the original price.
64/80=0.8
0.8·100=80 dollars. HOPE THIS HELPS!!!
Answer:
Step-by-step explanation:
Total surface area??
Answer:
128
Step-by-step explanation:
couculator mhm thats all
Answer:
[tex]160cm^{2}[/tex]
Step-by-step explanation:
Surface Area = [tex]2(wl+hl+hw)[/tex]
w = 4
l = 8
h = 4
[tex]2((4*8)+(4*8)+(4*4))[/tex]
[tex]2(32+32+16)[/tex]
[tex]A = 160[/tex]
How many equal sections divide a directed line segment if it is to be partitioned with a 2:7 ratio? 2, the least number given in the ratio
2, the least number given in the ratio
14, the least common multiple of the numbers given in the ratio
9, the sum of the numbers given in the ratio
5, the difference of the numbers given in the ratio
7, the greatest number given in the ratio
9514 1404 393
Answer:
9, the sum of the numbers given in the ratio
Step-by-step explanation:
The reduced ratio 2 : 7 means that two parts correspond to one length and 7 parts correspond to the other length. That is, there are a total of 2+7 = 9 parts in the full length of the segment.
It is convenient to think of the line segment as being divided into 9 equal parts.
_____
Additional comments
It is often helpful to consider the total number of "ratio units" in a given ratio. For example, in this problem, the shorter segment is 2/9 of the whole, and the longer one is 7/9 of the whole.
It can also be useful to consider what a "ratio unit" represents. If the whole segment is 27 inches long, then each of the 9 ratio units will represent 3 inches, for example. This means the division 2:7 is 2(3 in):7(3 in) = 6 in : 21 in.
ESCRIBE LA EXPRESION ALGEBRAICA : Paul tenía S/ e. Compró un libro y recibió S/ 3 de vuelto. ¿Cuánto costó el libro en términos de e? *
Answer:
p(e)=e-3
Step-by-step explanation:
De acuerdo a la información proporcionada, sabes que Paul tenía una determinada cantidad e y al comprar el libro recibió 3 de vuelto, lo que significa que el precio del libro sería igual a restar 3 de la cantidad que tenía al inicio, lo cual se puede expresar de la siguiente forma:
p(e)=e-3, donde
p es el precio del libro
e es la cantidad que Paul tenía al inicio
m<3+m<5=180 true or false
Answer:
False.
Step-by-step explanation:
Jenny's great-grandmother is 86 years old. Jenny is 11 years old. What percent of Jenny's great-grandmother's age is Jenny's age
Answer:
12.79%
Step-by-step explanation:
Let :
Great grand mother = 86 years
Jenny = 11 years
Let the percentage = x
x % of great grandmother's age = Jenny's age
x% * 86 = 11
x/ 100 * 86 = 11
86x / 100 = 11
86x = 100 * 11
86x = 1100
x = 1100/86
x = 12.79
x = 12.79%
Please I need help
I need the equation of the graph below
Answer:
0x 57=63
Step-by-step explanation:
GEOMETRY HELP WILL MARK BRAINLIEST!!!!
Answer:
x = 20°
Step-by-step explanation:
Consecutive angles of a parallelogram are supplementary.
x + 160 = 180
x = 20°
Use a net to find the surface area of the solid. A drawing of a square pyramid with grid pattern on surface. Each triangular face is 6 grid units high and 7 grid units wide.
I uploaded the answer to a file hosting. Here's link:
tinyurl.com/wpazsebu
Leon created a scale drawing of the school library in his art class. In the scale drawing, the length of the library is 7 inches. The length of the actual library is 56 feet.
Which scale did Leon use to create the scale drawing of the school library?
8 inches represents 1 feet
1 inch represents 8 feet
7 inches represents 1 foot
1 inch represents 7 feet
I need help I'm confused.
Answer:
ok
Step-by-step explanation:
which equation can be used to determine the value of x?
Answer:
choice 1) 2x + 40 = 180
Step-by-step explanation:
(x + 10) + (x + 30) = 180
2x+ 40 = 180
Answer:
X+30+x+10=180
combine like terms
2x+40=180
subtract 40 from both sides
2x=140
divide by 2
x=70
but for you it is 2x+40=180
The point g (2,2) is translated 3units to the right and 4units up what are the coordinates of this resulting point, g?
Answer:
(5,6)
Step-by-step explanation:
Generally, is the coordinate (x,y) is translated right by a units and up by b units, the resulting coordinate wil be;
g(X, Y) = (x+a, y+b)
To the right is along the positive x axis while up is along the positive y axis
Given a = 3 and b = 4
g(X,Y) = (2 + 3, 2 + 4)
g(X, Y) = (5, 6)
Hence the resulting coordinate of g is (5,6)
A rectangular plot of land is represented on a map by the vertices (10,10), (10, 90), (70.5, 90), and (70.5, 10), where the x- and y-coordinates are measured in yards. What is the area of the plot of land?
Answer:
Area of the plot of the land is 4840 square units.
Step-by-step explanation:
Let's draw the rectangle approximately on an x y plane. That would help us to find the length and width of the rectangle.
Answer: 4,480yd^2
Step-by-step explanation:
You have the x and y coordinates of the vertices (10, 10), (10,90), (70.5,90), and (70.5, 10) you have the coordinates: x and y as the first two which are the ones in bold. From that you do 70.5-10= 60.5.
Then you subtract the x and y coordinates again, which are underlined. From that do 90-10=80
Last you do 60.5x80=4,840 yards squared
Mark me brainliest!!!
Hope this Helps!!!
If I have 14 neutrons and 11 electrons, what is my mass number?
A.25
B.3
C.11
D.14
Answer:
A : 25
Step-by-step explanation:
In a neutral atom, the number of electrons is equal to the number of protons. The atomic number indicates the number of protons.
The mass number is the sum of the number of neutrons and the number of protons.
mass number=protons+neutrons
As we know from the atomic number, the number of neutrons is 14 and the number of electrons is 11.
mass number = 14 + 11
A cylinder has a height of 8 feet and a radius of 3 feet. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
226.08 ft
Step-by-step explanation:
using the formula for volume of cylinder
πr²h
3.14× 3²×8= 226.08 ft
Describe fully the single transformation
that maps shape A onto shape B.
Answer: a reflection across the x-axis