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GREYUIT [131]
3 years ago
5

The pythagorean theorem and maps answer key

Mathematics
2 answers:
Nesterboy [21]3 years ago
8 0
I can help u with one question,rest u can do it.
Pythagorean theorem is (hy)^2=(l)^2+(b)^2
Hypotenuse is the lingest side of a triangle

anzhelika [568]3 years ago
8 0

Answer with explanation:

According to Pythagorean Theorem if in a right triangle the two legs of a right triangle are a and b and the hypotenuse is denoted by c then we have:

          c^2=a^2+b^2

Ques 1)

By Pythagorean Theorem we have:

                 (440)^2=(305)^2+a^2\\\\i.e.\\\\193600=93025+a^2\\\\\\a^2=193600-93025\\\\\\a^2=100575\\\\\\a=317.1356\ units

To the nearest tenth we have:   a=317.1

Ques 2)

By Pythagorean Theorem we have:

                 (415)^2=(390)^2+b^2\\\\i.e.\\\\172225=152100+b^2\\\\\\b^2=172225-152100\\\\\\b^2=20125\\\\\\b=141.8626\ units

To the nearest tenth we have:   b=141.9

Ques 3)

By Pythagorean Theorem we have:

c^2=(625)^2+(450)^2\\\\\\c^2=593125\\\\\\c=770.1460

To the nearest tenth we have:   c=770.1

Ques 4)

By Pythagorean Theorem we have:

(515)^2=(380)^2+d^2\\\\\\d^2=120825\\\\\\d=347.5989

To the nearest tenth we have:   d=347.6

Ques 5)

By Pythagorean Theorem we have:

(700)^2=(400)^2+e^2\\\\\\e^2=330000\\\\\\e=574.4562

To the nearest tenth we have:  e=574.4

Ques 6)

By Pythagorean Theorem we have:

(750)^2=(500)^2+f^2\\\\\\f^2=312500\\\\\\f=559.0169

To the nearest tenth we have:   f=559

Ques 7)

By Pythagorean Theorem we have:

(g)^2=(250)^2+(250)^2\\\\\\g^2=125000\\\\\\g=353.5533

To the nearest tenth we have:   g=353.6

Ques 8)

By Pythagorean Theorem we have:

(400)^2=(325)^2+h^2\\\\\\h^2=54375\\\\\\h=233.1844

To the nearest tenth we have:   h=233.2

Ques 9)

By Pythagorean Theorem we have:

(i)^2=(300)^2+(400)^2\\\\\\i^2=250000\\\\\\i=500

To the nearest tenth we have:   i=500

Ques 10)

A Pythagorean triple is the set of three positive integers a,b and c such that it satisfy:

                  c^2=a^2+b^2

Hence, we among the given above options the Pythagorean triple are:

 The last option form i.e. the triangle whose side is 300, 400 and i.

Also, the figure is attached to the answer.

You might be interested in
Need help can anyone help me???​
Paladinen [302]

Answer:

  it is greater than 45°

Step-by-step explanation:

From the relationship of angles and secants/tangents, we have ...

  m∠GSO = (long arc GO -arc GT)/2

Solving for (long arc GO), we have ...

  2(m∠GSO) +arc GT = (long arc GO)

We know that (long arc GO) > 180°, so we can write ...

  2(m∠GSO) +90° > 180° . . . . arc GT = 90°

  2(m∠GSO) > 90° . . . . . . subtract 90°

  m∠GSO > 45° . . . . . . . . divide by 2

_____

<em>Alternate solution</em>

Inscribed ∠GOT has half the measure of arc GT, so is 45°.

You know that if angle G were 90°, then the right triangle would be isosceles, and angle S would also be 45°. In this triangle, arc GTO is less than 180°, so angle G is less than 90°.

When angle G gets smaller, the sum of angles remains the same, so angle S must be larger than 45°.

This reasoning is written more formally in the math above.

8 0
3 years ago
in a classroom of 1/6 of the students were wearing blue and 2/3 are wearing white there are thirty six students in the class how
jeyben [28]

Answer:

6

Step-by-step explanation:

1/6 of 36=6

2/3 of 36= 24

24+6=30

36-30=6

5 0
2 years ago
I need help.............​
amid [387]
I didn’t know which problem you specifically needed help with, but I hope this helps.

7 0
2 years ago
Can someone answer this no bots please I will give you brainliest… please
Jobisdone [24]

Answer: Alice

Step-by-step explanation: Alice won because she started furthest From the starting line.

5 0
2 years ago
Here is a picture that shows one side of a child's wooden block with a semicircle cut out at the bottom.
soldi70 [24.7K]
30.7 cm² (nearest tenth)
Step-by-step explanation:
Area of the wooden block = area of rectangle - area of semi-circle
Area of Rectangle = length × width
Length = 9 cm
Width = 4.5 cm
Area of rectangle = 40.5 cm²
Area of semi-circle = ½(πr²)
Radius (r) = ½ of diameter = ½*5 = 2.5 cm
π = 3.14
Area of semi-circle = ½(3.14*2.5²)
Area of semi-circle = 9.8125 cm²
4 0
2 years ago
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