Answers
[tex]\bold{\huge{\underline{ Answer }}}[/tex]
Here , We have to create a real life problem which is based on the similar traingle.
Before creating a real life problem . It is important that you should know the basics of the theorem related to similar triangle .Triangles are similar when their corresponding angles are equal and corresponding sides are in proportion.There are three conditions that proves the given triangles are similar :-
If the corresponding angles of the both the triangles are equal . Then the two triangles are similar to each other known as AA or AAA criterionIf the two sides and one angle of both the triangle are equal to each other . Then the two triangles are similar to each other known as SAS criterion If all the three sides of both the triangle are equal or having same ratios then both the triangle are similar to each other known as SSS criterion. Let's Come to the real life problemSuppose your teacher told you that the two apple trees in a school garden are similar to each other. Now, you are curious to know why both the trees are similar to each other. you have asked the same question to your teacher, She told you to work on the similar traingles theorem .
Solution :-Let consider both the apple trees as tree 1 and tree 2
Given :-The height of the tree 1 is 20 m and height of the tree 2 is 40 mThe shadow casted by both the trees, Tree 1 = 12 m and tree 2 = 24 mThe distance between the height and shadow of both the trees, Tree 1 = 30 m and Tree 2 = 60 mBy using similarity theorem
It states that two triangles are similar when the corresponding sides of both the triangles are in proportion or the corresponding angles of both the triangles are equalThat is,
[tex]\sf{\dfrac{ 20}{40}}{\sf{ = }}{\sf{\dfrac{12}{24}}}{\sf{=}}{\sf{\dfrac{ 30}{60}}}[/tex]
[tex]\sf{\dfrac{ 1}{2}}{\sf{ = }}{\sf{\dfrac{1}{2}}}{\sf{=}}{\sf{\dfrac{ 1}{2}}}[/tex]
From above we can conclude that,
Both the apple trees are similar to each other because all the three sides of both the apple trees are in proportion.
The conclusion is that both of the Orange trees are similar to each other because all the three sides of both the Orange trees are in proportion.
How to Solve Similarity Theorem?Let consider both the Orange trees as tree 1 and tree 2
If we have:-
Height of the tree 1 = 20 m
Height of the tree 2 = 40 m
The shadow casted by Tree 1 = 12 m
The shadow casted by tree 2 = 24 m
The distance between the height and shadow of Tree 1 = 30 m.
The distance between the height and shadow of Tree 2 = 60 m
By using triangle similarity theorem, we have;
20/40 = 12/24 = 30/60 = 1/2
Read more about Similarity Theorem at; https://brainly.com/question/21247688
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Related Questions
NEED HELP ASAP!! Which expressions are equivalent to the one below? Check all that apply.
16x
Answers
Answer:
f,c,d is the one who are equivalent
A soccer field is 80 yds wide and 130 yds long. Find the length of the diagonal of such a field. Give an exact answer as a radical expression and an approximation to three decimal places.
Answers
[tex] \bf \underline{Given :-}[/tex]
Width of soccer field = 80 ydsLength of soccer feild = 130 yds[tex] \\ \\ [/tex]
[tex] \bf \underline{ To \: find:-}[/tex]
Length of diagonal[tex] \\ \\ [/tex]
[tex] \bf \underline{Solution:-}[/tex]
Strongly recommend to keep up with Digram , as name of sides are based according to Digram.
As we know soccer feild is rectangle , therefore ∠A = ∠B = ∠C = ∠D = 90°
Now as we have to just find value of diagonal AD therefore just focus on triangle ACD.
we know ∠C = 90° , triangle ACD. is a right angled triangle.
[tex] \\ \\ [/tex]
[tex] \bigstar \boxed{ \rm Hypotenuse^2 = Base^2 + Perpendicular^2}[/tex]
Here :-
Hypotenuse = AD
Base = CD
Perpendicular = AC
[tex] \\ [/tex]
Therefore :-
[tex] \\ [/tex]
[tex] \dashrightarrow\sf AD^2 =CD^2 + AC^2 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf AD^2 =(130)^2 + (80)^2 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf AD^2 =130 \times 130 + (80)^2 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf AD^2 =16900+ (80)^2 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf AD^2 =16900+80 \times 80 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf AD^2 =16900+6400\\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf AD^2 =23300\\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf AD= \sqrt{23300} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\bf AD =152.643 \: yds\\ [/tex]
[tex] \\ \\ [/tex]
suppose a charity received a donation of $12.8 million, if this represents 33% of the charitys donated funds, what is the total amount of its funds
Answers
Answer:
Step-by-step explanation:
Restate the problem:
" 29% of x is $28.9 million"
(29/100)x = $28.9 million
[in word (story) problems "of" usually means multiply]
29% may be written as (29/100) or 0.29 as needed by the problem.
x = (100/29)($28.9 million)
x ≅ $99.655 million
x ≅ $100 million [rounded
HiSET) On a road map, the distance between two cities is 5.1 inches. If 1.8 inches on the map represents 40 miles of actual distance, which of the following expressions gives the best estimate of the actual distance in miles between these cities?
a) 5/2 x 40 b) 5/2 ÷ 40 c) 6/40 x 2 d) 5/1 x 40 e) 5/40 x 2
Answers
Answer:
5.1*40/1.8
your closest answer is 1 (5/2*40)
Hope it helps!!!!!brainliest pls!!!!!!!!Answer:
5/2*40
Step-by-step explanation:
that's my answer, so i hope this helps
select the correct word form for 87,055
Answers
Answer: Eighty-seven thousand-fifty five
Step-by-step explanation:
Answer:
eighty seven thousand fifty five=87,055
I need help I will appreciate the answer.
Solve the system of equations below using substitution. y = 2x + 3y = 23
Answers
answer
options-
x+y=3, 2x-8y=19, 2x+y=-2, x+2y=2 hope that helps
Step-by-step explanation:
The triangles are similar. Find the value of X.
Answers
Answer:
C. 18
Step-by-step explanation:
Triangle RST is dilation of 1.33333333 of triangle ACB, and side CA corresponds to angle SR.
24/1.33333333 = 18
Hope this helps :)
A turtle and a snail start moving towards each other when they are 200 feet apart. The turtle is running at a speed of T feet per minute, and the snail is moving at a speed of S feet per minute. How fast are they approaching each other?
Answers
Answer:
200/T+S min
Step-by-Step Explanation:
Given:
Distance between turtle and snail=200 feetSpeed of turtle=T ft/minSpeed of Snail=S ft/minTo find:
Let time=tAfter t min they will meet to each other.We know that | Distance = Speed * Time |
Using the formula,Distance covered by turtle in time t=Tt ftDistance covered by snail in time t=St ftAccording to question,Tt + St = 200t (T + S) = 200t = 200/T+S minTime taken by them in approaching to each other = 200/T+S min
Justin is evaluating the expression 12.5 + 3.8 x, when x is 7.9.
12.5 + 3.8 (7.9). 16.3 (7.9). 128.77.
What was Justin’s error?
Justin should have multiplied 12.5 and 7.9 first.
Justin should have added 12.5 and 7.9 first.
Justin should have multiplied 3.8 and 7.9 first.
Justin should have added 3.8 and 7.9 first.
Answers
Answer:
Justin should have multiplied 3.8 and 7.9 first
Step-by-step explanation:
Multiply before adding
12.5 +3.8(x)x
12.5+3.8x7.9
Answer:Justin should have multiplied 3.8 and 7.9 first
Step-by-step explanation:
y = 9x - 17
y = -5x + 11
Solve each system of equations by substitution
Answers
Answer:
[tex]y=1,\:x=2[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}y=9x-17\\ y=-5x+11\end{bmatrix}[/tex]
[tex]\mathrm{Substitute\:}y=-5x+11[/tex]
[tex]\begin{bmatrix}-5x+11=9x-17\end{bmatrix}[/tex]
[tex]x=2[/tex]
[tex]\mathrm{For\:}y=-5x+11[/tex]
[tex]\mathrm{Substitute\:}x=2[/tex]
[tex]y=-5\cdot \:2+11[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]y=1[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]y=1,\:x=2[/tex]
Simplifying Algebraic Expressions
7(-8w^2+5w-7)
-(-2t^2+9t+1)
3/5(1/3x+1/4)
Answers
The expanded form of the expressions are -56w^2 + 25w - 49, 2t^2-9t-1 and x/5 + 3/20
Simplifying algebraic expressionsGiven the following expressions as shown
7(-8w^2+5w-7)
Expanded the expression to have:
7(-8w^2) + 7(5w) -7(7)
-56w^2 + 25w - 49
For the expression -(-2t^2+9t+1), multiply the expression through bu the minus sign to have 2t^2-9t-1
For the expression 3/5(1/3x+1/algebras)
Expand the expression to have:
3/5(1/3x) + 3/5(1/4)
x/5 + 3/20
Hence the expanded form of the expressions are -56w^2 + 25w - 49, 2t^2-9t-1 and x/5 + 3/20
Learn more on algebraic expressions here: https://brainly.com/question/2164351
Help help math math math
Answers
Answer:
Yes
Step-by-step explanation:
hope it helps you...
Answer:
Yes!
Step-by-step explanation:
18) Solve for x.
A) 42
B) 50
C) 63
D) 75
Answers
The correct answer to your question is D
Sure hope this helps you
The triangles ΔDJY and ΔFJS are similar triangles. Then the value of x will be 75. Then the correct option is D.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The angle ∠J is common for both triangles.
The triangles ΔDJY and ΔFJS are similar triangles, then we have
DJ/DF = YJ/YS
50/x = 42/63
x = 75
More about the triangle link is given below.
https://brainly.com/question/25813512
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A number has three digits: 1, 4, and 1.
To the nearest hundred, the number rounds to 400. What is the number?
Answers
Answer:
411
Step-by-step explanation:
Because it has a 4 , 1 , and a 1
meaning the first number can't be 1 so it is automatically a 4.
and then the only 2 numbers left is 2 one's so you have to put them in their also automatically and 4 is asking 1 to round up can it.
411 can't round up,it would round down because 1 is 4 and below so it can't go up and goes down.
so 4 1 1 can't go up the number would have to be 450 to go to 500 but because it is 411 it goes down to 400 because it is rounded to 400.
Hope this helps have a awesome day:)
Mulberry Elementary has a playground in the shape of a rectangle.
The length is 5.5 meters
The width is 3.2 meters
Over the summer, the school will increase both the length and the width of the playground by 40% each.
Part A:
What will be the perimeter, in meters, of the enlarged playground? Enter your answer as a decimal with a hundredths place value.
Part B:
By how many square meters will the area of the playground increase? Enter your answer as a decimal with a thousandths place value.
Answers
The perimeter of the enlarged playground is 24.36 meters, and the increase in area is 16.9 m²
What is an area?
An area is the amount of space occupied by a two dimensional shape or object. The area of a rectangle is:
Area = length * width
Given that length = 5.5 m, width = 3.2 m
Hence:
Area = 5.5 * 3.2 = 17.6 m²
Perimeter = 2(length + width) = 2(5.5 + 3.2) = 17.4 m
There is an increase in both the length and the width of the playground by 40% each. Hence:
New length = 1.4 * 5.5 = 7.7 m, new width = 1.4 * 3.2 = 4.48 m
Area = 7.7 * 4.48 = 34.5 m²
Perimeter = 2(length + width) = 2(7.7 + 4.48) = 24.36 m
Increase in area = 34.5 m² - 17.6 m² = 16.9 m²
The perimeter of the enlarged playground is 24.36 meters, and the increase in area is 16.9 m²
Find out more on area at: https://brainly.com/question/25292087
Point J is the midpoint of line segment KI. Find the length of JI.
Answers
Answer:
6
Step-by-step explanation:
The midpoint of a line segment divides it into two congruent parts:
KJ ≅ JI
JI = KJ = 6
The length of JI is 6 units.
2 1/6 divided by 21/2
Answers
Answer:
Change the mixed numbers into an improper fraction:
[tex]2\frac16 \div 2\frac12=\dfrac{2 \times 6+1}{6}\div \dfrac{2 \times 2+1}{2}=\dfrac{13}{6}\div \dfrac{5}{2}[/tex]
Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. (Reciprocal is when you swap the numerator and denominator). Therefore,
[tex]\dfrac{13}{6}\div \dfrac{5}{2}=\dfrac{13}{6}\times\dfrac{2}{5}[/tex]
Now we simply multiply the numerators and the denominators:
[tex]\dfrac{13}{6}\times\dfrac{2}{5}=\dfrac{13 \times 2}{6\times 5}=\dfrac{26}{30}[/tex]
We can now reduce the fraction to its simplest form by dividing the numerator and denominator by 2:
[tex]\dfrac{26}{30}=\dfrac{26\div 2}{30 \div 2}=\dfrac{13}{15}[/tex]
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
I'll assume it is [tex]\frac{21}{6}[/tex]÷[tex]\frac{21}{2}[/tex]
Not so sure if it is that or in mixed form
The division sign will become multiplication sign when two becomes the numerator and 21 becomes the denominator
[tex]\frac{21}{6}[/tex]×[tex]\frac{2}{21}[/tex]
21 will cancel out leaving [tex]\frac{2}{6}[/tex]
=[tex]\frac{1}{3}[/tex]
rewrite the expression 26×26⁸.
Answers
Answer:
26 x 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26
Step-by-step explanation:
26 to the eighth power is like multiplying 26 times itself eight times. So since it started off as 26 times 26 eight times, you would times 26 by itself 9 times.
?/1
Evaluate g(-4) if
g(x)=x^2 −2x+5
Please answer with g(-4) =
Answers
Answer:
g(-4) = 29
Step-by-step explanation:
g(-4) = (-4)^2 -2(-4)+5
= 16 + 8 +5
= 29
Please help me with this too. Thankyouu!!!
Answers
Answer:
Q 4. 69
Step-by-step explanation:
Q 4:-
(37)^2 - 1300 1369 - 130069Write a description of -5a + 3 > 1 inequality
Answers
The sum of -5a and 3 is greater than 1
I need your help please
Answers
Answer:
Answers A C C B A C C A
Step-by-step explanation:
The cheerleaders at Lake High School launch T-shirts into the crowd every time the Lakers score a touchdown. The height of the T-shirt can be modeled by the function h(x)-16x^2+48x+6, where h(x) represents the height of the T-shirt after x seconds.
Answers
the anser is c because i dont know
Which method would be the best to solve the following system of equations? y=1/2x+6 -2x+4y=24
A. None of these methods will work.
B. Elimination
C. Substitution
D. Graphing
Answers
Answer:
C. Substitution
But gives you infinity solitions
Solving steps:
Step: Solvey=1/2
x+6for y:
y=1/2x+6
Step: Substitute
1/2
x+6foryin−2x+4y=24:
−2x+4y=24
−2x+4(1/2x+6)=24
24=24(Simplify both sides of the equation)
24+−24=24+−24(Add -24 to both sides)
0=0
Paula weeded 40% of her garden in 8 minutes.How many minutes will it take her to weed all of her garden?
Answers
40% = 8 minutes
(100/40 = 2.5, 8 x 2.5 = 20)
100% = 20 minutes
Answer:
20 minutes
Step-by-step explanation:
Given:
40% of Paula's garden is weeded and it was done in 8 minutes.
Solution:
40% divided by 8 is 5% [ Division ]
100% divided by 5% = 20 minutes
Help please(geometry math)
Answers
Answer:
No solution
Step-by-step explanation:
By bisector theorem: the relative lengths of the two segments that a triangle's side is divided into by a line that bisects the opposite angle. It equates their relative lengths to the relative lengths of the other two sides of the triangle
y/8 = 8/2
y = 32 .... sum of the length of 2 sides of triangle must be larger than the 3rd side, 8+2+8 = 18 < 32
y can only has a value < 18
If we use Law of Sines also get y = 32 ... not forming a triangle
You ran a 100m race in 10 seconds. How fast did you run?
options:
100 m/s
100 mph
10 mph
10 m/s
Answers
Answer:
The answer is 10 mph
Step-by-step explanation:
Divide 100 by 10
Linda bought 2 sets of 8 apples and each set costs $5.6 how much money does Linda need to pay to the cashier?(giving brainliest!)
Answers
Explanation: If she bought 2 sets of 8 apples then it’s 8 x 2 which is 16 and then 16 x 5.6 is 89.6
Find the area of the following shapes.
Area = __ mm^2
Answers
Answer:
Formulae used:
Area of a rectangle = width × length
Area of a triangle = 1/2 × base × height
Area of blue shape:
Area of rectangle + area of triangle
= (9 × 15) + (1/2 × (15 - 9) × 15)
= 135 + (1/2 × 6 × 15)
= 135 + 45
= 180 mm²
Area of yellow shape:
area of rectangle AHPB + area of rectangle GFQP + area of rectangle EDCQ
= (4 × 12) + (6 × (12 - 9)) + (4 × 12)
= 48 + (6 × 3) + 48
= 48 + 18 + 48
= 114 m²
3 times the sum of a number and 5 is 6
Answers
Answer:
the number is -3
Step-by-step explanation:
3(x + 5) = 6
let x be the number anyways thooo
we distribute 3
3x + 15 = 6
then solve
3x = 6 - 15
3x = -9
x = -3