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Airida [17]
3 years ago
12

Suppose a railroad rail is 5 kilometers and it expands on a hot day by 20 centimeters in length. How many meters would the cente

r raise above the ground?
Mathematics
2 answers:
frutty [35]3 years ago
7 0
4 centimeters.... you're welcome
lesya692 [45]3 years ago
3 0
The length of the railroad is 1km and it expands 10cm. To solve this problem, you have to create a right triangle. You can do this by cutting everything in half. Your hypotenuse will be 1/2km + 5cm, one of the legs will be 1/2km. To make everything simple, I converted everything into meters. So you will have 500m + .05m as the hypotenuse and 500m as one of the legs. Use the Pythagorean theorem to solve for the other leg. Do not round your answer. My teacher emailed me a hint to answering the question. She cahnged everything to meters.

use Pythagoras theorem to solve for the other leg. that is your answer. Your teacher spelled it out for you.
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What is the measure of a base angle of an isosceles triangle if the measure of the vertex angle is 38 and the two congruent side
Harrizon [31]
Bearing in mind that an isosceles triangle has twin sides, and coming out of the vertex they make twin angles at the base, check the picture below.

4 0
3 years ago
A tunnel must be made through a hill. As a result, a surveyor and an engineer create a sketch of the area. The sketch, displayed
Anastasy [175]

Answer:

498 m

Step-by-step explanation:

The AAA theorem states that triangles are similar if all three corresponding angles are equal.

1. Compare triangles FHS and ILS

(a) Reason for similarity

∠F = ∠I = 90°

∠S is common.

∴ ∠H = ∠L

(b) Calculate SL

\begin{array}{rcl}\dfrac{SF}{SH} & = & \dfrac{SI}{SL}\\\\\dfrac{225}{380} & = & \dfrac{225 + 475}{SL}\\\\225SL & = & 380 \times 700\\& = & 266000\\SL & = & \textbf{1182 m}\\\end{array}

2. Compare triangles ILS and GLE

(a) Reason for similarity

∠I = ∠G = 90°

∠L is common.

∴ ∠S = ∠E

(b) Calculate LE

\begin{array}{rcl}\dfrac{IS}{GE} & = & \dfrac{LS}{LE}\\\\\dfrac{700}{180} & = & \dfrac{1182}{LE}\\\\700LE & = & 180 \times 1182\\& = & 212800\\LE & = & \textbf{304.0 m}\\\end{array}

3. Calculate EH

               LE + EH + HS = LS

304.0 m + EH + 380 m = 1182 m

                  EH + 684 m = 1182 m

                                 EH = 498 m

The distance from E to H is 498 m.

 

5 0
4 years ago
Choose the name of the linear equations form given:
pickupchik [31]
None of the above. The first two are slope-intercept, whereas the third one isn't a form.
7 0
3 years ago
The total cost of a pair of shoes and a hoodie is $150 the hoodie cost $100 more than the pair of shoes how much does each item
bekas [8.4K]
X + y = 150

x = y + 100

2y + 100 = 150

2y = 50

y = 25

shoes are 25 hoodie is 125
3 0
3 years ago
Read 2 more answers
−x+10=−5<br><br> Please help and include step by step.
sergey [27]

Step by Step:

Step 1.) Subract 10 from both sides.

Step 2.) Divide each side by one



answer: x=15

3 0
4 years ago
Read 2 more answers
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