The formula for scale factor is: Scale Factor = New Length / Original Length.
What is scale factor?Scale factory the rescue between two corresponding length, area or the volumes of two similar figure it is used to compare the size of one figure to another as well as to the enlarge of reduced to size of a figure the scale factor is expressed as a ratio such as one is to to fit the first number is the original size and the second is the new size.
This is used to determine the factor by which an object has been scaled up or down. For example, if an object was originally 8 inches long and then scaled up to 16 inches long, the scale factor would be 2, as 16 is twice the length of 8.
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AB, BC and CD are three sides of a regular polygon with centre o.
ABX is a straight line.
Angle BCD = 140°
0 Calculate the size of each of the angles marked v, w, x, y and z.
Pls help 10 points
Answer:
Step-by-step explanation:
Since, BC and DC are the sides of a regular polygon,
m(DC) = m(BC)
Opposite angles of these equal sides will be equal in measure.
m∠DBC = m∠CDB = v
By triangle sum theorem,
m∠DBC + m∠CDB + m∠DCB = 180°
v + v + 140° = 180°
2v = 40°
v = 20°
Since angle 'x' is an exterior angles of ΔBCD,
x = m∠BDC + m∠CBD [By the property of exterior angles]
x = v + v
x = 40°
Since, angles v, w and x are the linear angles,
v + w + x = 180°
20° + w + 40° = 180°
w = 120°
Since, measure of exterior angle = [tex]\frac{360}{n}[/tex]
n = Number of sides
40° = [tex]\frac{360}{n}[/tex]
n = 9
Sum of angles formed at the center by joining vertices of the polygon = 360°
Measure of each angle at the center of a polygon with 9 sides = [tex]\frac{360}{9}[/tex]
= 40°
Since, z = 3 × (Measure of central angle formed at the center)
= 3 × 40°
= 120°
In ΔOAB,
m∠OAB + m∠OBA + m∠AOB = 180°
y + y + 40° = 180° [m∠OAB = m∠OBA, Opposite angles of the equal sides OA and OB]
2y = 140°
y = 70°
could someone pleaseee help me :)
Answer:
1st one
Step-by-step explanation:
Answer:
a = 24
a = 150
a = 66
Step-by-step explanation:
your welcome
Classify the real numbers as rational or irrational numbers.
Answer:
omg I'm working on this one too and I cant figure it out did you ever get the answer I can t find it anywhere and I'm not sure what it is all I have is 400 is rational
Step-by-step explanation:
Rational numbers
-5/250
[tex]\sqrt{400}[/tex]
irrational numbers
5.01212121212....
[tex]\sqrt{1,000}[/tex]
[tex]\sqrt[3]{30}[/tex]
0.01562138411....
Step-by-step explanation:
sorry i answered late
Write an integer for this situation: 5 feet below sea level
45x^4 + 72x^3 is factored form
Answer: 9 x 3 ( 5 x + 8 )
Step-by-step explanation:
Factor 9 x 3 out of 45 x 4 + 72x 3 .
Find the area of a regular octagon with an apothem of 8.45 cm and a side length of 7 cm. (round to the nearest whole number) A) 59 cm2 B) 118 cm2 C) 237 cm2 D) 473 cm2
Answer:
237
Step-by-step explanation:
The area of the regular octagon is 237 cm^2
How to determine the area?The given parameters are:
Apothem (a) = 8.45
Side length (s) = 7
Number of sides (n) = 8
The area of the regular octagon is then calculated as:
A = 0.5 * a * n * s
This gives
A = 0.5 * 8.45 * 8 * 7
Evaluate the product
A = 236.6
Approximate
A = 237
Hence, the area of the regular octagon is 237 cm^2
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how to factor this expression
x^3 - 4x^2 + 4x - 16
An archaeologist used string to make a grid over an area
where she was digging. She discovered a bowl buried at
(1,4) and a tool at (3, 10) on her grid. She suspected that an
item was buried at the midpoint of the segment connecting
the bowl and the tool. At which position on her grid should
the archaeologist dig to look for the buried item?
Answer:
option a c d are correct
Step-by-step explanation:
Since, the item was burried at the midpoint of the segment joining bowl and the tool. Archaeologist should dig at the midpoint which is at (2, 7).
Mid-point of a segment joining two points: If two points (a, b) and (c, d) are joined by a line segemnt, coordinates of the midpoint will be,Mid-point = [tex](\frac{a+c}{2},\frac{b+d}{2})[/tex]
Given points representing a bowl and a tool are (1, 4) and (3, 10).
Since, an item is burried at the midpoint of the segment joining bowl and tool,
Use the expression for the position of the mid-point of the segment.
Position of the item → [tex](\frac{1+3}{2},\frac{4+10}{2})[/tex]
→ (2, 7)
Hence, position of the burried item will be at (2, 7).
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‘Find the value and figure of B’
Answer:
b = 12 in
Step-by-step explanation:
Use the Pythagorean theorem.
a^2 + b^2 = c^2
b^2 + 9^2 = 15^2
b^2 = 225 - 81
b^2 = 144
b = 12
Answer: b = 12 in
A set of pens sells for $5.25 and costs $1.80 to make. Forty percent of the profit (the difference between the purchase price and the amount it costs to make) from each set of pencils goes to a school. If 1200 sets are sold, what is the amount of money that will go to the school?
The amount of money that will go to the school is $ 3816.00
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The sale price of set of pens = $ 5.25
The cost price of set of pens = $ 1.80
The profit of pens = sale price of set of pens - cost price of set of pens
= $ 5.25 - $ 1.80
= $ 3.45
Now , the equation will be
Forty percentage of profit = ( 40 / 100 ) x $ 3.45
= $ 1.38
The amount that will go to the school =
Forty percentage of profit + cost price of set of pens
The amount that will go to the school for 1 set of pen = $ 1.38 + $ 1.80
= $ 3.18
The equation will be ,
Now , the total number of sets of pens sold = 1200
And , the total cost price of 1200 sets of pens =
cost price of set of pens x 1200
The total cost price of 1200 sets of pens = $ 1.80 x 1200
= $ 2160
The total profit of 1200 sets of pens = Forty percentage of profit x 1200
= $ 1.38 x 1200
= $ 1656
Therefore , the amount that will go to the school for 1200 sets of pens =
total cost price of 1200 sets of pens + total profit of 1200 sets of pens
The amount that will go to the school for 1200 sets of pens
= $ 2160 + $ 1656
The amount that will go to the school for 1200 sets of pens = $ 3816
Therefore ,
The amount that will go to the school = $ 3816.00
Hence , The amount of money that will go to the school is $ 3816.00
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don’t understand........
Answer:
120 cubic inches.
Step-by-step explanation:
The formula for volume is length times width times height. So if you take the length (10), and you take the width (3), and then you multiply them together you get 30. Now all you have to do it multiply that to the height (4) so you get 120. So your answer should be 120 cubic inches.
10 × 3 = 30
30 × 4 = 120
I hope this helps you and you understand now. Have a nice day! :D
Jaime has lunch at a restaurant and needs to determine how
much tip to leave based on his bill. If his bill was $14.41 and
Jaime wants to leave a 20% tip, what is a reasonable estimate
for how much he should leave?
Answer:
2.88
Step-by-step explanation:
multiple choice geometry question helppp
COS = Adjacent / Hypotenuse
CosZ = 24/30
A department store buys 200 shirts at a cost of $5,400 and sells them at a selling
price of $30 each. Find the percent markup.
The percent markun ico
please help
Number of shirts a department store bought = 200
Cost price of 200 shirts = $5400
Cost price of 1 shirt :
[tex] =\tt \frac{5400}{200} [/tex]
[tex]\color{plum} =\tt \$27[/tex]
Thus, the cost price of one shirt = $27
Price at which the department store sold each shirt = $30
Which means :
▪︎Cost price of shirt = $27
▪︎Selling price of shrit = $30
Since selling price is greater than cost price, there was a markup in the price of the shirts.
We know that :
[tex] \color{hotpink}\tt \: markup \: percentage = \color{plum} \frac{selling \: price - cost \: price}{cost \: price } \times 100[/tex]
Markup percentage in the price of the shirts :
[tex] = \tt \frac{30 - 27}{27} \times 100[/tex]
[tex] = \tt \frac{3}{27} \times 100[/tex]
[tex] = \tt \frac{3 \times 100}{27} [/tex]
[tex] = \tt \frac{300}{27} [/tex]
[tex] \color{plum} = \tt11.1 \%[/tex]
Thus, the percentage of markup = [tex] \tt 11.1 \% [/tex]
Therefore, the percentage of markup in the shirt's price = [tex] \color{hotpink} \tt11.1 \% [/tex]
Answer:
11.11%
so mark me as brainlist
1) Today's temperature will be at least 55°, but not more than 65º. Write and graph an inequality to show this situation.
Answer:
[tex]55 \leqslant x < 65 [/tex]
15 POINTS! PLEASE HELP ASAP! WILL GIVE BRAINLIEST!
Find 6m if m = 5/13
6 5/13
5
2 4/12
5/78
Please answer this question with a complete answer
Answer:
true, false, true
Step-by-step explanation:
first one:
|-3.17|=3.17
-3.17 cannot be negative away, so it must be positive.
second one:
|7.29|=7.29
not equal to -7.29
third one:
no matter if it's negative or positive, you always use absolute value (||) to measure distances between number lines
brainliest plz
if c% of a number is (a+b) what is the number
Answer:(a+b)/c ×100
Step-by-step explanation:
Let the number be "x"
According to the question,
X×C% = a+b
>> X × C/100 = a+b
So, x =(a+b)/c × 100
A heron is perched in a tree 50 feet above sea level. Directly below the heron, a pelican is flying 17 feet above sea level. Directly below the birds is a trout, swimming 23 feet below sea level. What is the distance between the heights of the pelican and the heron
A.67 feet
B. -67
C. 33
D.-33
Answer:
Its C
Step-by-step explanation:
Answer the photo below thanks
Answer:
D.
Step-by-step explanation:
3/6 = 30/60
Answer:
The answer is D
Step-by-step explanation:
3/6 = 30/60
If you divide the top and bottom of 30/60 by 10 you get 3/6
Hope that helps
Prove: 12. Given: BC || EF, ZBEFE ZDCG Prove: AB 11 DC 11. Given: m BCD + m.ZBEF= 180°, AB || DC Prove: BC || EF B C 5. F E
Answer:1. Given: mx1 = 101°, m.25 = 101°. Prove:/ || n . 1. 11. given. <1=1019. (5=101. 2. <1 2 <5 ... 2. Given: 48 = 22. Prove:1 ||n. 1. <. 8722. Il given. J. Ext. 87. 2. elin. 12. alt.int ks form / ... Prove: BC || EF. - ll lines. 1. <BCD + <BEF=180' 11. Diven. ABII DC. 2. ... 6. Given: BC || EF, ZBEFE ZDCG lunes a. Prove: AB || DC. 1. B C ll EF.
Step-by-step explanation:
Write a proportion for brainliest
Answer:
B) [tex]\frac{WV}{VY} =\frac{VX}{XY}[/tex]
Step-by-step explanation:
The triangle VXY and triangle VWY are similar because they are both right triangles. Option B shows the correct proportions based off of this. Line WV is similar to line VX and line VY is similar to line XY.
I hope it helps and is correct!
which even number is a prime number
Answer:
2
Step-by-step explanation:
The only even number which is a prime is 2. It is the smallest prime number. Except 2, all other prime numbers are odd numbers.
Answer:
Answer is 2
Step-by-step explanation:
The only even number which is a prime is 2. It is the smallest prime number. Except 2, all other prime numbers are odd numbers.
I hope it's helpful!
The measure of an angle is 89. Find the measure of its supplement
Step-by-step explanation:
Supplementary angles are equal to 180°. To determine the supplement of any angle, subtract the given angle from 180°.
[tex] \text{Supplement \: of \: 89 \: \degree = 180 \degree - 89\degree = \boxed{ \bold{ \text{91\degree}}}}[/tex]
Hope I helped ! ツ
Have a wonderful day / night ! ♡
# [tex] { \underbrace{ \text{Carry \: On \: Learning}}}[/tex] !! ✎
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HELPPP 40 POINTSS......
Answer:
the answer is 4
Step-by-step explanation:
Answer: The answer to question 3 is 6. The answer to question 4 is 4.
Step-by-step explanation: In question 3, if you plug in 6, that gives us 12+5. 12+5 is 17. In question 4, you can turn the words into an equation like this: 2n + 3 = 11. Plug in 4 and that gets you to 8 + 3. 8+3 is 11.
2horas 3 minutos 47 s as
Answer: I dont understand.
Step-by-step explanation:
A woman rides a bicycle for 1 hour and travels 12 kilometers. Find the angular velocity of the wheel if the radius
is 33 centimeters.
rad/min
14.81 radians/second
Step-by-step explanation:
what is 10% of $10
Pls i need help
Answer:
1 dollar
Step-by-step explanation:
1 dollar is one tenth of a dollar ie 10%
Answer:
the answer is $1.
Step-by-step explanation:
- convert 10% into decimal form, which is 0.10
- then multiply 0.10 to 10
- that would equal to 0.10x10=1
The student council is selling carnations for Valentine's Day. Two different shops can provide these flowers. . Gracie's Flowers charges a $5.00 fee per order plus $0.75 per carnation Ben's Blooms charges a $10.00 fee per order plus $0.25 per carnation for an order. Gracie tells you the equation that would work with her shop: Using c to represent the total cost for an order of carnations and n to represent the number of carnations in the order, her equation is c=0.75n + 5.00 Ben is not sure how to write the equation for his shop. Fill in the following blanks to help him: C = nt
9514 1404 393
Answer:
c = 0.25n +10.00
Step-by-step explanation:
The form of the equation is ...
c = <cost per carnation>n + <fixed fee>
For Ben's shop, the equation would be ...
c = 0.25n + 10.00