PPPPPLLLLEEEAAAAASSSSSSSEEEEEEE HEEEEEEEEELLLP
To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown. Find the length of AB to the nearest meter. Explain how you got this answer.
Answers
Answer:
formula with a squared term.
It’s not about distance in the sense of walking diagonally across a room. It’s about any distance, like the “distance” between our movie preferences or colors.
If it can be measured, it can be compared with the Pythagorean Theorem. Let’s see why.
Understanding The Theorem
We agree the theorem works. In any right triangle:
pythagorean theorem
If a=3 and b=4, then c=5. Easy, right?
Well, a key observation is that a and b are at right angles (notice the little red box). Movement in one direction has no impact on the other.
It’s a bit like North/South vs. East/West. Moving North does not change your East/West direction, and vice-versa — the directions are independent (the geek term is orthogonal).
The Pythagorean Theorem lets you use find the shortest path distance between orthogonal directions. So it’s not really about right triangles — it’s about comparing “things” moving at right angles.
You: If I walk 3 blocks East and 4 blocks North, how far am I from my starting point?
Me: 5 blocks, as the crow flies. Be sure to bring adequate provisions for your journey.
You: Uh, ok.
So what is “c”?
Well, we could think of c as just a number, but that keeps us in boring triangle-land. I like to think of c as a combination of a and b.
But it’s not a simple combination like addition — after all, c doesn’t equal a + b. It’s more a combination of components — the Pythagorean theorem lets us combine orthogonal components in a manner similar to addition. And there’s the magic.
In our example, C is 5 blocks of “distance”. But it’s more than that: it contains a combination of 3 blocks East and 4 blocks North. Moving along C means you go East and North at the same time. Neat way to think about it, eh?
From the picture attached,
AB and ED are the parallel sides of two triangles ΔCDE and ΔCBA.Measure of sidesDE = 5 m, CD = 5 m, CE = 4 m and CA = 12 m
In ΔCDE and ΔCBA,
Two sides AB and ED are parallel and two lines AC and BC are intersecting these lines,
Therefore, ∠CDE ≅ ∠CBA and ∠CED ≅ ∠CAB [Corresponding angles]
By AA postulate of similarity,
ΔCDE ~ ΔCBA.
By using the property of two similar triangles,
"Corresponding sides of two similar triangles are proportional"
[tex]\frac{CE}{CA}= \frac{DE}{BA}[/tex]
[tex]\frac{4}{12}= \frac{5}{AB}[/tex]
[tex]AB=\frac{5\times 12}{4}[/tex]
[tex]AB=15[/tex] m
Therefore, length of AB will be 15 meters.
Learn more,
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Related Questions
Put the numbers in ascending
Answers
Answer:
? what numbers
Step-by-step explanation:
Answer:
Where are the numbers?
Step-by-step explanation:
Put it in the comments and i'll answer it there...
Brainliest Plsss!!!
Which situation can be modeled by the inequality, 10x + 75 > 6.50x + 120 ? A Membership at Gym A costs $120 down plus $6.50 per month. Gym B charges $10 down plus $75.00 per month. After how many months will Gym A cost less in total than Gym B? B Membership at Gym A costs $120 down plus $6.50 per month. Gym B charges $10 down plus $75 per month. After how many months will Gym B cost less in total than Gym A? C Stephanie has $75.00. Her brother Ricardo has $120. Stephanie saves $10.00 per week. Her brother saves $6.50 per week. After how many weeks will Stephanie have more money than Ricardo? D Stephanie has $75.00. Her brother Ricardo has $120. Stephanie saves $10.00 per week. Her brother saves $6.50 per week. After how many weeks will Stephanie have less money than Ricardo?
Answers
Answer:
C. Stephanie has $75.00. Her brother Ricardo has $120. Stephanie saves $10.00 per week. Her brother saves $6.50 per week. After how many weeks will Stephanie have more money than Ricardo?
Step-by-step explanation:
Quick only 5 minutes to answer!
Question: Tyler and Kiran each started running at a constant speed at the same time. Tyler ran 4,200 meters in 30 minutes and Kiran ran 6,300 meters in 1/2 hour. Eventually, Kiran ran 1 kilometer (1000 meters) more than Tyler. How much time did it take for this to happen?
(I'll give 12 points and I'll name you brainlist.
Answers
Answer:
14 and 2/7 minutes, or 100/7 minutes
Step-by-step explanation:
To begin with, supposed the rate at which Tyler and Kiran are running are variables T and K. We can come up with the equations
30T= 4,200 and
30K= 6,300.
Where 30 is the number of minutes, multiplied by the rate at which they are running to equal the total distance ran. We can isolate the variables by dividing both sides of both equations by 30, resulting in Tyler's speed of 140 meters per minute and Kiran's speed of 210 meters per minute.
We can then plug these values into a final equation where x is the amount of time taken for Kiran to run 1 km more than Tyler
We end up with this: 210x= 140x+1000
Solve first by subtracting 140x from 210x to get 70x, and then divide both sides by 70. This isolates x and you get a final answer of 14 2/7 minutes, or 100/7 minutes
And sorry I couldn't get this to you in the 5 minutes you needed, but I hope this at least helps you understand the concept :')
It will take 14 and 2/7 minutes, or 100/7 minutes, for this to happen.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
To begin, consider Tyler and Kiran's running rates to be variables T and K. We can create the equations.
30T= 4,200 and
30K= 6,300.
Where 30 is the number of minutes multiplied by the speed of running to equal the total distance run. By dividing both sides of both equations by 30, we can isolate the variables, obtaining Tyler's speed of 140 meters per minute and Kiran's speed of 210 meters per minute.
We have to substitute the value into a final equation where x is the time it takes Kiran to run 1 km further than Tyler.
We end up with this: 210x= 140x+1000
To begin, remove 140x from 210x to get 70x, then divide both sides by 70. This isolates x, obtaining a final result of 14 2/7 minutes, or 100/7 minutes.
Thus, It will take 14 and 2/7 minutes, or 100/7 minutes, for this to happen.
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What is the equation of this line? Please help I will give extra points and the brain thing.
y=−3x−4/3
y=4/3x−3
y=3/4x−3
y=−3x−3/4
Answers
Because the y intercept is -3 and the slope is rise 3 run 4 making it 3/4. It is a increasing line so it has a positive slope
SOLVE ALL THESE FOR BRAINLIEST, FIVE STARS, AND A THANKS!!!!!
Answers
Answer:
gurl that's too much pay attention in class
At an amusement park, there are 6,912 moon shoes and 4,436 cactus plants. There are a total of 13,336 prizes. How many spaghetti hats are at the amusement park? Solve for the value of h on paper.
13,336 = 6,912 + 4,436 + h
There are _______spaghetti hats at the amusement park.
Answers
Answer:
1988 the true true (＾3＾♪
Which equation has the correct sign on the product?
A. (-9)(-9) = -81
B. (-12)(4) = 48
C. (31)(-10) = -310
D. (26)(3) = -78
Answers
Answer:
C. (31)(-10) = -310
Step-by-step explanation:
A. (-9)(-9) = -81
negative times a negative is a positive incorrect sign
B. (-12)(4) = 48
negative times a positive is a negative incorrect sign
C. (31)(-10) = -310
positive times a negative is a negative correct sign
D. (26)(3) = -78
positive times a positive is a positive incorrect sign
Answer:
C. (31)(-10) = -310
Step-by-step explanation:
This equation has the correct sign, because multiplying a positive number and negative number gives you a negative number.
The other answer choices have the wrong signs.
Multiplying 2 negatives together gives a positive, so A is wrong.
Multiplying a negative by a positive gives a negative, so B is wrong as well.
D is wrong because multiplying 2 positive numbers gives a positive number.
So, C is correct.
Simplify the expression.
x+3+5x
Answers
i need to find the inequality and make an equation to graph out of this : Carlos and Clarita want to sell T-shirts with dogs and cats on them. They’ve found two local t-shirt companies. Shirts R Us will charge them a one-time set up fee of $20 and $15/t-shirt. The second company, Tee4U, has a $50 set up fee and charges $12/t-shirt.
Answers
(I mean no need to waste points)
Answer:
Shirts R Us: 15t+20; Tee4U: 12t+50
If you're making a graph, shirts r us will start at (0,20) and will increase by 1 across and 15 up. tee4u will start at (0,50) and increase by 1 across and 12 up.
Two bicyclists started racing towards each other when they were 98 miles apart. Three hours later they did not yet meet and the distance between them was 2 miles. How fast each of them biked if the speed of one of them was 3 mph slower than the others?
Answers
NO ONE IS HELPING ME PLEASE IM FINNA CRY I SWEAR I BEGGING YOU!!!! THIS IT DUE TODAY and PLZ explain!!!!!
1 question is first image
2 question is second image
3 question is third image
Answers
Answer:
15/18 for the third one
Step-by-step explanation:
1 over 2
Your lunch cost $18.50 for food and $1.48 for tax.
SOLVE A,B,C
a. Find the percent of sales tax on the food total. __.
b. Find the amount of an 18% tip on the food total. __.
c. How much do you pay for your lunch? __
Answers
Answer:
21.83
Step-by-step explanation:
a.19.98
b.21.83
c.23.31
NO ONE IS HELPING ME PLEASE IM FINNA CRY I SWEAR I BEGGING YOU!!!! THIS IT DUE TODAY and PLZ explain!!!!!
1 question is first image
2 question is second image
3 question is third image
Answers
Question 1: 4 1/3
Question 2: -0.5
Question 3: 0.83
Did not specify how these should be done so First is Slope form, the rest are decimal.
Answer:
1)13/3
2)-1/2
3)5/6
Step-by-step explanation:
1) the negatives cancel
2)(3/4)/(9/16) --> (3/4)*(16/9) --> 4/3
3) (4/3) + (9/3) = 13/3
1)-6+4 = -2
2)-1+5 = 4
3)-2/4 --> -1/2
1)8-(5+(3(-4))) = 15
2)4^2 +2 = 18
3)15/18 --> 5/6
What is matter? Use elements in
your answer.
Answers
Answer:
Matter is anything that takes up space. All matter (aka everything) is made up of atoms. The air that we breathe is matter because it is made up of mainly oxygen atoms, but also other atoms as well. The air also takes up what we would call free space. A wooden desk is matter because it takes up space and is made of oxygen, carbon, nitrogen, calcium, and several other elements and atoms.
Translate the phrase into an algebraic expression.
The difference of y and 8
Answers
Answer:
8-y
Step-by-step explanation:
Answer:
y - 8
Step-by-step explanation:
difference = subtraction
1. A 1500 kg car starts at rest and speeds up to 3.0 m/s. The gain in kinetic energy is 6750 J.
TRUE or FALSE
Answers
Answer:
Its true. 100%. The other dude got it wrong.
Adam can eat 3/8 of a pizza in 1/16 of a muinite complete the unit rate by setting up a complex fraction and simplifying Answers A) 1 pizza per minute B) 3 Pizza per minute C) 6 Pizza per minute D) 9 Pizza per minute Answer correctly and i will give away a giftcard
Answers
A restaurant sells burritos for $8.00 each. To buy supplies, the restaurant pays $1.50 for the meat and $1.00 for the other ingredients in each burrito.
What is the profit the restaurant makes for selling 100 burritos? Does the restaurant make or lose money? Explain your reasoning.
Answers
Answer:
$250
Step-by-step explanation:
Add prices $1.50 for meat and $1.00 for the other ingredients
1.50 + 1.00=2.50
Then multiply that by 100 because it 100 burritos
100*2.50= 250
Which of the following best shows the associative property of addition?
a.4 + 5 = 9
b.(4 + 5) + 2 = 4 + (5 + 2)
c.4 + 5 + 2 = 2 + 5 + 4
Answers
Answer:
The answer is C: 4 + 5 + 2 = 2 + 5 + 4
Step-by-step explanation:
This is an example of the associative property of addition because the associative property of addition is described as any equation, that despite in what order your shift your equation to, the answer will stay the same. And as C shows, 4 + 5 + 2 will be rearranged to 2 + 5 + 4 and would still get the same answer, which would be 11.
The associative property of addition is represented by (4 + 5) + 2 = 4 + (5 + 2). The correct option is B.
What is associative property?
Rearranging the parenthesis in an expression will not change the outcome since some binary operations in mathematics have associative features.
The associative property is shown by the expression (4 + 5) + 2 = 4 + (5 + 2).
Solving the right-hand side:-
(4 + 5) + 2 = 9 + 2
(4 + 5) + 2 = 11
Solving the left-hand side:-
4 + (5 + 2) = 4 + 7
4 + (5 + 2) = 11
Therefore, the associative property of addition is represented by (4 + 5) + 2 = 4 + (5 + 2). The correct option is B.
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At a carnival booth, Cindy spent 6 minutes on each face she painted. Which equation best represents the linear relationship between x, the number of faces Cindy painted, and y, the total amount of time she spent painting the faces?
Answers
Answer: 6x = 1y
Step-by-step explanation: 6x (x = minutes) 1y (y = face)
Can someone help me out? (Show work on how to solve)
Answers
Anna has a 1/2 cup of yogurt for making fruit parfaits. Each parfait requires 1/6 cup of yogurt. How many parfaits can she make?
Answers
if she has 3/6 yogurt and each parfait uses 1/6, she can only make 3 yogurt parfaits
answer: 3
Answer:
you can make 12
Step-by-step explanation:
plz help me and plz show work 9.
Answers
After 8 hours of snow, the temperature dropped by 16 degrees. What was the average change in temperature each hour while it was snowing?
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The weather dropped 2 degrees for every hour is snowed.
Hope this helps!
Answer:
The temperature dropped 2 degrees
Step-by-step explanation:
16 divided by 8
simplify -4/3 divided by 2/-6
Answers
Answer:
59.8
Step-by-step explanation:
An alloy is composed of nickel, zinc, and copper in a 5:4:8 ratio. How many kilograms of each metal are needed to make 3.4 kg of this alloy?
Answers
Answer:
5x+4x+8x=3.4
17x=3.4
x=0.2
Nickel 1 kg
Zinc 0.8 kg
Copper 1.6 kg
Answer:
1kg of nickel, 0.8kg of zinc, and 1.6kg of copper
Step-by-step explanation:
thank me later
How do you solve this equation? WILL GIVE BRAINLIEST!
Answers
Answer:. x + 2y ≤ 8
It helps to put the standard form into slope-intercept form and Simplify
Step-by-step explanation:
Guys ASAP I need help on this (if you have time can you please feel free to help me on these 2 as well) Its urgent it's a 100 point assignment and I don't want to fail math class.
Question: A marine biologist discovered species with a diameter of 0.00085 inches. Express this measurement using scientific notation.
(the pics are the ones for the 100 point assignment. (i will give a massive amount of points)
Answers
Answer:
Number 3:
For Scientific
10^9
10^7
For Standard
9 x 1000000000
7 x 10000000
Number 4:
For scientific
10^7
10^2
For standard
9.45 x 10000000
2.1 x 100
Number 3 is 3*10^2 for scientific notation and 300 for standard
Number 4 is 4.5*10^5 for scientific notation and 4.5*10^5 for standard
Jennifer jogged 4 miles
every day to train for a
race. How many miles did
she run in 8 days? Show
the constant rate of
change on the graph
included on your answer
document to prove your
answer.
Answers
Answer:
32 miles is the answer for everyday over to the right 1 on the graph it should move up 4 so a point would be(2,16) and (3,24)
If p + 9 = 25 and p = q, then q + 9 = 25.
Which property did Michaela show?
symmetric property of equality
multiplication property of equality
substitution property of equality
reflexive property of equality
Answers
Michaela knew that is she substituted q for p, it would still be the same equation just a different variable.
Hope this helps!