The similar Triangle OPN and triangle LMN are similar have the ratio LM / MN = OP / NP
What are similar figures?Two figures are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion.
Triangle OPN and triangle LMN are similar, hence:
LM / MN = OP / NP
The similar Triangle OPN and triangle LMN are similar have the ratio LM / MN = OP / NP
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The circle below is centered at (10, 4) and has a radius of 4. What is its equation? A. (x - 10)2 + (y - 4)2 = 16 B. (x - 10)2 + (y - 4)2 = 4 C. (x - 4)2 + (y - 10)2 = 4 D. (x - 4)2 + (y - 10)2 = 16
Answer: A
Step-by-step explanation:
What is the approximate volume of the cone? Use 227
22
7
for π. Enter your answer in the box.
Answer:
132 cm³
Explanation:
[tex]\sf volume \ of \ cone = \dfrac{1}{3} \pi r^2h[/tex]
put radius: 3 cm, height: 14 cm, π as 22/7
[tex]\sf \rightarrow \dfrac{1}{3} *\dfrac{22}{7} * (3)^2(14)[/tex]
[tex]\sf \rightarrow 132 \ cm^3[/tex]
Suppose that spain has a workforce of 22.85 million people, and that the average salary for each person is €24,200 annually. spain has imports of €290.85 billion and exports of €200.13 billion. if the spanish government levies a 7% tariff on exports, an 18% tariff on imports, and a 21% income tax, how will the revenue gained from tariffs and the revenue gained from income tax compare? a. the government will earn €80.7214 billion more from tariffs than from income tax. b. the government will earn €29.5030 billion more from tariffs than from income tax. c. the government will earn €63.7707 billion more from income tax than from tariffs. d. the government will earn €49.7616 billion more from income tax than from tariffs.
The revenue that the Spain government gained from tariffs and the revenue gained from income tax compare as given by: Option d. the government will earn €49.7616 billion more from income tax than from tariffs.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
For this case, we have these information:
Import amount = €290.85 billionTariff on import = 18% on import amountExport amount = €200.13 billionTariff on export = 7% on export amountTotal people in Spain = 22.85 millionEach person's average salary = €24,200 annuallyTax on income = 21%Calculating the earnings from tariffs and income tax:
Tax generated from income = 21% of €552970 =
[tex]\dfrac{552.97 \times 10^9}{100}\times 21 = 116.1237 \: \rm billion \: euros[/tex]
Earning from tariffs = 52.353 billion + 14.0091 billion = 66.3621 billion
Difference in earning from income tax and tariffs is:
116.1237 billion - 66.3621 billion = 49.7616 billion euros.
Thus, the revenue that the Spain government gained from tariffs and the revenue gained from income tax compare as given by: Option d. the government will earn €49.7616 billion more from income tax than from tariffs.
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The cost price of 12 candles is equal to the sellering price of 15 candles. Find the loss percent.
Answer: Let SP of 15 candles = Rs.100. CP of 12 candles = SP of 15 candles = Rs.100 CP of 15 candles = = Rs.125 Loss = CP – SP = 125 – 100 = 25 = 20% 10.
Step-by-step explanation: This was a simple answer also CP means sale price
What value of x makes a true equivalent fraction statement. 3/x = 27/54
3/x=27/54
or,x×27=3×54
or,27x=162
or,x=162/27
or,x=6
Hope you will give me brainliest
Please answer these questions:
a) What are the 2 features that make this shape a square?
b) A quadrilateral has no pairs of parallel sides. What 2 shapes could this be?
c) A triangle has one pair of equal sides and one pair of equal angles. What is it called?
Answer:
A. 1. The sum of all interior angles is equal.
2. All sides are equal in length.
B. Trapezium.
C. isosceles triangle.
ella wrote 8 more stories than anna. Is it a word phrase or scenario
scenario - as it describes the story and the character's action.
Ella wrote 8 more stories than Anna in the fifth grade.
let s, be the number of pages Anna wrote.
Expression:
s + 8
Lots of points
Please help
i add a photo
i am stuck on this question please help me
Answer:
h = 8 units, b = 20 units
Step-by-step explanation:
h = 2 units
2 x 4 = 8
b = 5 units
5 x 4 = 20 units
Therefore, h = 8 units and b = 20 units
Hope this helps :)
Please help with this question I have been stuck on it for so long
Answer:
Step-by-step explanation:
If i is 300 times as much as k, then i=300k.
So we have k(something)=300k -> that something is 300
11:16 1
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61
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What is the area of this figure?
15 mi
4 mi
5 mi
11 mi
6 mi
4 mi
15 mi
18 mi
Write your answer using decimals, if
necessary.
Answer:
268
Step-by-step explanation:
Divide the figure into 3 pieces, a triangle, a rectangle, and another rectangle.
Triangle area=18*(15+6+1) * 1/2, or 189
Rectangle 1= 4*11= 44
Rectangle 2= 7*5= 35
Add all up, get 268
Not entirely sure….some help please?
Answer:
55°
Step-by-step explanation:
The definition of an isosceles triangle is that there are two sides of equal length and one side of a different length. Because two sides have the same length, their respective angles have the same measure. For example, side BC goes with angle A; because it is the same length as side AB which goes with angle C, angles A and C are the same. Just set the angles equal to each other and begin solving an algebraic expression as shown here:
[tex]3x+40=x+50\\3x-x+40 = x-x+50\\2x+40=50\\2x+40-40=50-40\\2x=10\\\frac{2x}{2} =\frac{10}{2} \\x=5[/tex]
Now that you know what x is equal to, plug it into angle A's equation.
[tex]3(5)+40\\15+40\\55[/tex]
Angle A is equal to 55°
please help I'm trying to write this in scientific notation
will give brainliest
Answer:
8.0 * 10^4
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Answer:
8.0 x 10 4
Step-by-step explanation:
This is right
What is the shape of the cross section taken perpendicular to the base of a cylinder?
Circle
Rectangle
Ellipse
Triangle
Answer:
rectangle
Step-by-step explanation:
the question is asking what the shape of the cross section would be if it was perpendicular to the base. imagine a cylinder that you could slide a piece of paper into. what would be inside the cylinder? perpendicular to the base, it would be a rectangle. if it was parallel to the base, you'd then have a circle.
List the first five natural numbers.
[tex]1, 2, 3, 4, 5 [/tex]
Answer:
The first five natural numbers are 1, 2, 3, 4, and 5.
Step-by-step explanation:
Natural numbers, which include all positive integers from 1 to infinity, are a component of the number system. Natural numbers, which do not include zero or negative numbers, are also known as counting numbers. They are only positive integers, not zero, fractions, decimals, or negative numbers, and they are a component of real numbers. Numbers may be found everywhere around us, used for counting items, representing or transferring money, calculating temperature, telling time, and so on. "Natural numbers" refer to the numbers that are used to count items. When counting items, we may say 5 glasses, 6 books, 1 bottle, and so on. A collection of all whole integers except 0 is referred to as whole numbers. These figures play an important role in our daily actions and communication. Natural numbers are those that can be counted and are a portion of real numbers. Only positive integers, such as 1, 2, 3, 4, 5, 6, etc., are included in the set of natural numbers. Non-negative integers are also known as natural numbers (all positive integers). 23, 56, 78, 999, 100202, and so forth are only a few instances. A collection of elements is referred to as a set (numbers in this context). In mathematics, the set of natural numbers is expressed as 1,2,3,... 1 is the lowest natural number. We know that the smallest element in N is 1 and that we can talk about the next element in terms of 1 and N for any element in N. (which is 1 more than that element). Two is one greater than one, three is one greater than two, and so on. The natural numbers from 1 to 100 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99 and 100.
Find the volume of the cone. Round your answer to the nearest tenth.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
Radius (r) = 2 cmheight (h) = 8 cmNow, let's apply the formula :
[tex]\qquad \sf \dashrightarrow \:v = \frac{1}{3} \pi {r}^{2} h[/tex]
[tex]\qquad \sf \dashrightarrow \:v = \frac{1}{3} \times 3.14 \times {(2)}^{2} \times 8[/tex]
[tex]\qquad \sf \dashrightarrow \:v = \frac{100.48}{ 3} [/tex]
[tex]\qquad \sf \dashrightarrow \:v = 33.49333333.....[/tex]
[tex]\qquad \sf \dashrightarrow \:v \approx33.5 \: \: cm {}^{3} [/tex]
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
See below.
Step-by-step explanation:
The answer would be 2 3/4.
The third tick represents 3/4, and this is between 2 and 3.
-hope it helps
Answer:
My guess is 2 3/4
Step-by-step explanation:
Sorry if i'm wrong, if im right can i have brainliest? So explanation is that the plotted point on the number line is c so that will make the numerator is id.k the difference between them the top of the number would be three because c is ploted on c and id.k how to get 4.
A ladder leans against a 40ft building. The foot of the ladder is 16 feet from the building. About how
long is the ladder? Round to the nearest hundredth
Answer:
60 feet
Step-by-step explanation:
what does 10.44 x 2.5 equal?
Answer:
26.1
Step-by-step explanation:
Through simple multiplication, the answer of 10.44 * 2.5 is 26.1
10.44
x 2.5
----------
26.1
Granny is 56 years old, and her granddaughter is 14. In how many years from now will the grandma be twice as old as the granddaughter?
a) 28
b) 23
c) 10
d) 25
HELPP
Can someone please help
Answer:
41
Step-by-step explanation:
an = a1 + (n-1)d
a_n = the nᵗʰ term in the sequence = 10
a_1 = the first term in the sequence = 5
d = the common difference between terms = 4
a10 = 5 + (10-1)4
a10 = 5 + (9)4
a10 = 5 + 36
a10 = 41
SOMEONE HELP!!!!!!!!!!!!!!!!!1
Answer:
5
Step-by-step explanation:
Determina el grado de y =3r⁵ + 8r³
5
What single decimal multiplier would you use to decrease by 2% followed by a
3% decrease?
2% decrease= 0.98
3% decrease = 0.97
Find the area when the circumference is 50.24 cm
Answer:
201
Step-by-step explanation:
C = 2pi.R
50.24/2pi = R
R= 8
area = pi R² = pi x 8² = 201
Explain how to determine if the two expressions are equivalent using x = 6 and x = 10. 8x 40 8(x 5)
The two expressions are equivalent, which gives the same values at x=6 and x=10 when put the values of x and compare them.
What is the equivalent expression?Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.
The given expressions are,
[tex]8x +40[/tex]
[tex]8(x+ 5)[/tex]
It has to determine if the two expressions are equivalent using x = 6 and x = 10.
The value of the first equation at x=6 are,
[tex]8x +40=8(6)+40\\8x +40=48+40\\8x +40=88[/tex]
The value of the first equation at x=10 are,
[tex]8(10) +40=80+40\\8(10) +40=120[/tex]
Now, the value of the second equation at x=6 are,
[tex]8[(6)+5]=48+40\\8[(6)+5]=88[/tex]
Similarly, the value of the second equation at x=10 are,
[tex]8[(10)+5]=80+40\\8[(10)+5]=120[/tex]
The values of both equation are same at x=10 and x=6.
Hence, to determine, the two expressions are equivalent using x = 6 and x = 10, put the values of x and compare the values.
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A 10" x 10" sheet of paper is cut diagonally into two congruent right isoscele
triangles. What is the area of each triangle?
Answer:
20
Step-by-step explanation:
.
Simon does some shopping on the internet. He buys 4 CDs at $8.63 each. How much do the CDs cost altogether?
Answer:
34.52
Step-by-step explanation:
Multiplication plus may i have branlies t
Answer:
the total would be 34.52
Step-by-step explanation:
If we have 4 Cd's that cost 8.63 a piece, all we would need to do is multiply 8.63 by 4, or just add 8.63 4 times.
hope this helps, please rate and mark as brainlest.
What decimal is equivalent to 85/99?
0.76
0.767676...
0.85
0.858585...
Answer:
The repeating decimal is 85/99 = 0.858585...
Step-by-step explanation:
A rational number in the form of a fraction can be represented as a decimal by dividing the numerator by the denominator. For example, this is how we get 0.75 = 3/4: (first screenshot)
Now let's divide 85.0000... by 99. Find enough decimal digits in the numerator so we can see whether the decimal terminates or starts to repeat. (second screenshot) Since the number 850 repeats itself, this is a repeating decimal.
Pls help me solve this
Condense the logarithmic expression using logarithmic properties.
3 log x + 2 log y - log y
Answer: [tex]log (x^3y )[/tex]
Step-by-step explanation:
First we want to make the coefficients of the log the exponents of what is in the log
[tex]3 log (x) + 2 log (y) - log (y)\\log (x^3) + log (y^2) - log (y)[/tex]
Now adding two log with the same base is the same as multiplying what you are taking the log of
[tex]log (x^3) + log (y^2) - log (y)\\log (x^3y^2) - log (y)[/tex]
Now subtracting two logs with the same base is the same as dividing what you are taking the log of
[tex]log (x^3y^2) - log (y)\\log (\frac{x^3y^2}{y} )[/tex]
Now we simplify
The [tex]y^2[/tex] cancels out the y in the denomiator
[tex]log (x^3y^2) - log (y)\\log (x^3y )[/tex]
Step-by-step explanation:
xlog3+ylog2-ylog
log3×log2 -ylog
log6-ylog