Answer:
Step-by-step explanation:
its a trapezium 0.5(a+b)h
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:
What is the image of the point (-7,-8)(−7,−8) after a rotation of 270^{\circ}270 ∘ counterclockwise about the origin?
The image of the point (-7, -8) after a rotation of 270 degrees counterclockwise about the origin is (8, -7).
What is counterclockwise ?
Counterclockwise is a direction of rotation that is opposite to the direction of the hands on a clock. It is also known as anticlockwise in some parts of the world. When viewed from above, counterclockwise rotation goes in the direction of a left-handed spiral, while clockwise rotation goes in the direction of a right-handed spiral. In mathematics, physics, and other fields, counterclockwise is often used as a standard convention for the positive direction or orientation of angles, planes, and other geometric objects. In graphical user interfaces, counterclockwise rotation is often used to indicate an undo or reverse action, while clockwise rotation is used to indicate a redo or repeat action.
According to the question:
When a point is rotated by 270 degrees counterclockwise about the origin, the new point is found by switching the x and y-coordinates of the original point, and negating the new x-coordinate. So, to find the image of the point (-7, -8) after a rotation of 270 degrees counterclockwise about the origin, we can use the following formula:
(x', y') = (-y, x)
where (x, y) is the original point and (x', y') is the new point after the rotation
Plugging in the values from the given point, we get:
(x', y') = (-(-8), -7)
Simplifying this expression, we get:
(x', y') = (8, -7)
Therefore, the image of the point (-7, -8) after a rotation of 270 degrees counterclockwise about the origin is (8, -7).
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Above are Joe’s bank account records. What is Joe’s ending balance? Please help
Answer:
$425
Step-by-step explanation:
475 - 50 = 425
Describe fully the single transformation
that maps shape A onto shape B.
Answer: a reflection across the x-axis
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.
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
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 these four countries trade only with each other, what is the difference between the highest balance of trade and the lowest
balance of trade within this group?
a €4,378,000,000
€2,797,000,000
€1,928,000,000
d €738,000,000
Answer:
€4,378,000,000
Step-by-step explanation: just took the test :)
Answer:
A
Step-by-step explanation:
Took the test
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.
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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
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
m<3+m<5=180 true or false
Answer:
False.
Step-by-step explanation:
A helicopter flew north 325 meters and then flew east 500 meters. How far is the helicopter from its starting point?
Answer:
596.34m approx
Step-by-step explanation:
Given data
Let the Starting point be x
A helicopter flew north 325 meters from x
Then flew east 500 meters
Let us apply the Pythagoras theorem to solve for the resultant which is the distance from the starting position
x^2= 325^2+500^2
x^2=105625+250000
x^2= 355625
x= √355625
x=596.34m
Hence the distance from the starting point is 596.34m approx
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
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
I need help I'm confused.
Answer:
ok
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%
GEOMETRY HELP WILL MARK BRAINLIEST!!!!
Answer:
x = 20°
Step-by-step explanation:
Consecutive angles of a parallelogram are supplementary.
x + 160 = 180
x = 20°
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]
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?
Add or Subtract to simplify
Answer:
3. - 8n² -8n + 3
Step-by-step explanation:
(4n^4 - 8n +4) - (8n² + 4n^4 +1)
Firstly, open the brackets.
= 4n^4 - 8n +4 - 8n² - 4n^4 - 1
Now, group like terms.
= 4n^4 - 4n^4 - 8n² -8n - 1 + 4
4n^4 - 4n^4 cancel out with each other since one is negative and the other is positive. So we're left with - 8n² -8n - 1 + 4
= - 8n² -8n - 1 + 4
= - 8n² -8n + 3
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
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
A right prism with rhombus bases is shown. The side length of each rhombus is 5 units. The height of the prism is 16 units. The diagonals of each rhombus measure 6 and 8 units. A right prism with a rhobux base is shown. Each side of the rhombus measures 5 units. Diagonals with lengths of 6 and 8 units are drawn within the rhombus. The height of the prism is 16 units. What is the volume of the prism? 192 cubic units 200 cubic units 384 cubic units 400 cubic units
Answer:
384 cubic units
Step-by-step explanation:
The computation of the volume of the prism is shown below:
As we know that
The volume of the rhombus is
V = Base × height
where,
B = D₁D₂ ÷ 2
= (6)(8) ÷ 2
= 24 units squared
Now the volume of the prism is
V = (24)(16)
= 384 cubic units
Answer:
384 cubic units
Step-by-step explanation:
Select all the expressions that are equal to 1/2. ( --- is a minus sign just so you know)
O 18/20 --- 4/10
O 1/8 + 2/3
O 4/12 + 1/6
O 7/8 ---1/4
O 12/15 ---3/5
Answer:
first one, and third one
Please I need help
I need the equation of the graph below
Answer:
0x 57=63
Step-by-step explanation:
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
4.62 +3-3.6z =
Answer plssss
Answer:
z = 2.12
Step-by-step explanation:
4.62 +3 - 3.6z = 0
7.62 - 3.6z = 0
-3.6z = -7.62
z = 2.12
Merlin wants to make more money selling fake beards this month than he did last month. All black beards in his shop cost the same amount of money, and all red beards in his shop cost \$25dollar sign, 25. Let BBB represent the number of black beards and RRR represent the number of red beards that Merlin can sell to make more money than he made last month.
Complete question :
Merlin wants to make more money selling fake beards this month than he did last month. All black beards in his shop cost the same amount of money, and all red beards in his shop cost $25. Let B represent the number of black beards and R represent the number of red beards that Merlin can sell to make more money than he made last month. 20B+25R > 350 According to the inequality, how much money did Merlin make last month, and how much does each black beard cost?
Answer:
1.) > 350
2.) $20
Step-by-step explanation:
Number of black beard = B
Number red beard = R
Cost of red beard = 25
Last month inequality :
20B+25R > 350
Amount Merlin made last month :
Revenue from both red and black Bearf, Hence amount realized last year greater than 350
Cost per black beard is the Coefficient of B which is 20
SIMPLE 7TH GRADE MATH PROBLEM?!?!
Answer:
I'm sure it is 25 hope this helps!!!
Answer:
Should be 25
Step-by-step explanation:
Lol is that pearson realize? i hate that buddy good luck