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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.
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.
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please help with the question
Answer:
The answer is B
Step-by-step explanation:
Because that's how you do math.
Which angle has the same measurement as angle DEA, and how do you know that the measurement is the same?
Answer:
I don't know the exact answer but the correct answer would be A(Then, unknown value)E I think.
Step-by-step explanation:
The reason why is because it would make a square if you put the answer and ADE together.
THIS COULD BE WRONGi need help PLSSSSSSS what is 12x5x6x7x2x9x4
Answer:
181,440
Step-by-step explanation:
all you gotta do is multiply
Set up and solve a trig equation to find the missing side in each triangle. Round to one decimal.
(A AND B)
Answer
Choose which trig ratio to use. - Choose either sin, cos, or tan by determining which side you know and which side you are looking for.
Substitute. ...
Solve. ...
Step 1: Choose which trig ratio to use. ...
Step 2: Substitute. ...
Step 3: Solve. ...
Step 1: Choose the trig ratio to use. ...
Step 2: Substitute.
Step-by-step explanation:
help someones plz thanx
Bradley traveled 65 miles in 13 hours. A unit rate to describe Bradley's travel is 5 miles per hour. What is another unit rate in this situation? 5 hour per mile 1 mile per hour 1 over 5 hour per mile 1 over 5 mile per hour
Answer:
Step-by-step explanation:
5 hour per mile 1 mile
Eva buys a piece of red fabric that is 5.6 meters long and a piece of yellow fabric that is 2.8 meters long. How long are the two pieces of fabric together in millimeters? Use the metric table to help answer the question.
Metric Table
kilo-
hecto-
deka-
unit
deci-
centi-
milli-
1,000
100
10
1
0.1
0.01
0.001
8.4 millimeters
84 millimeters
8,400 millimeters
84,000 millimeters
Answer:
5600 + 2800, so 8400mm
Step-by-step explanation:
5.6m in mm is 5600mm
2.8m in mm is 2800mm
adding those makes it 8400mm
Answer:
D) 84,000
Step-by-step explanation:
EDG 2020 sorry if wrong
PLEASE HELP NO ONE HELPING ONG
Which panda will weigh more at 5 weeks?
Write the equation for each panda.
Answer:
they will weigh the same they will both weigh 25 pounds
mochi is 5 pounds at one week and so is the other panda so at 5 weeks they will both be 25 pounds
STATEMENT REASON FORMAT
One of the angles formed by two intersecting lines measures 30°. What are the measures of the other three angles?
Answer:Vertical angles?
Step-by-step explanation:
Colin is painting figurines. He spends 20 minutes painting each figurine. After painting for 60 minutes, he still has 9 more figurines left to paint.
The number f of figurines left to paint is a function of t, the amount of time in minutes Colin spends painting.
f=________
Answer: f=180, because you multiply 9 and 20 to find out how many minutes it takes
-18 divided by 3
give me a answer
Answer:
-6
Step-by-step explanation:
You have 3 qt of paint to paint the trim in your house. A quart of paint covers 100 ft^2. The function A(q) = 100q represents the area A(q), in square feet, that q quarts of paint cover. What domain and range are reasonable for the function?
Answer:aq=300ft^2
Step-by-step explanation:
NEED THIS ASAP
You work for the National Weather Service and are asked to study the average daily temperatures in Anchorage, Alaska. You calculate the mean of the average daily temperatures for each month. You decide to place the information on a graph in which the date is the input and the temperature is the output. You also decide that January 1950 will correspond to the month 0 as indicated by the dot on the input scale.
On a coordinate plane, quadrants 1, 2, 3, and 4 are labeled. Month is on the x-axis and degrees Fahrenheit is on the y-axis.
Determine the quadrant in which you would plot the points that correspond to the following data:
The average daily temperature for July 1910 was 71 degreesF.
a.
Quadrant III
b.
Quadrant IV
c.
Quadrant II
d.
Quadrant I
Please select the best answer from the choices provided
A
B
C
D
Use the order of operations to simplify
1/9×3^3−2(1/6+2/3).
A)-1
B)1 1/3
C)1 5/6
D)2 1/3
Answer:
B ) 1 1/3
Step-by-step explanation:
2/3 of a circle is what % of a circle
Hi! I believe your answer is 66% because 2/3 is equivalent to 0.66666667, which simplifies to 66%. I hope this helps you! Good luck and have a great day. ❤️✨
Please help I don't understand :(
Answer:
A, E and F!
Hopefully this helps! :D
A sequence of transformations is applied to triangle CDE to create triangle C'D'E'.
Select all the sequences of transformations that could be applied to triangle CDE so that triangle CDE is congruent to triangle C'D'E'.
(Choose 3 Choices)
Question 1 options:
A.a clockwise rotation of 90 degrees and then a dilation be a scale factor of 2
B.a dilation by a scale factor of 2 and then a reflection across the y-axis
C.a clockwise rotation of 90 degrees and then a reflection across the y-axis
D.a translation 5 units down and then a dilation by a scale factor of 2
E.a translation 5 units down and then clockwise rotation of 90 degrees.
F.a reflection across y-axis and then translation 5 units down
Answer:
A, C, and E
Step-by-step explanation:
for a shape to be congruent it must be the same size and shape so
A would be correct because it only changes the position of the shape.B would be incorrect for it is dilated which changes its shape.C is correct because it also only changes the position.D is incorrect because it dilates the shape which changes the size.E would be the last correct answer because it keeps the size and shape and only changes the position.Thus your answer is A, C, and E
I hope this helps, have a wonderful day, and please consider giving me Brainliest! :)
What is the constant of proportionality of the linear function?
can someone help me out :P
C
Step-by-step explanation:
How do you simplify 1497.384?
Answer:
1497.4
Step-by-step explanation:
Need Help ASAP!!! Will mark Brainliests!!..If you give the correct answer.
The price of Philip's favorite candy has been reduced by 15¢ per piece. Philip buys 14 pieces and spends $3.22.
What is the regular price of each piece of candy?
Which linear function has the steepest slope?
Answer:
What is it steepest slope?
Step-by-step explanation:
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a football field team lost 9 yards during a play the team had a combined gain or loss of 0 yards after the next play.what integer represents the yards gained or lost on the next play? plus help idk
Plls help im failing
Answer:
9^35
Step-by-step explanation:
Answer:
[tex]9^{35}[/tex]
Step-by-step explanation:
When you have one exponent inside the parenthesis and one exponent outside the parenthesis you will be multiplying the two exponents. I hope this helps.
Which two city parks have equivalent ratios of planted maple trees to the total number of trees in the park?
City Parks---------------------Maple trees planted-------------------Total trees planted
Eastern------------------------------------14--------------------------------------126---------------
West end---------------------------------23-------------------------------------207--------------
South side-------------------------------24--------------------------------------214--------------
North ridge------------------------------18---------------------------------------158---------------
Answer:
Eastern and west end
Step-by-step explanation:
divide by nine
Answer: eastern, west end
please answer this one
Answer:
Store 2 has a better deal do u want an explanation
Step-by-step explanation:
okay so my explanation is if they both are selling for the same price then look at how many they are selling if store 1 is selling 12 for 3.50 and Store 2 is selling 15 then Store 2 has the better price. Hint if you ever have a problem lie this then you first look at the price if the price is the same then you look at how many they are selling if one of them is selling more than that is the better price
plz help and plz show work
Answer:
where is the drawing?
Step-by-step explanation: