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3 years ago

What is the pythagorean theorem?

Mathematics

2 answers:

Marina86 [1]3 years ago

7 0

Answer:

Pythagorean theorem - theorem that states that the sum of the squares of the two legs is equal to the square of the hypotenuse in a right triangle

Natalija [7]3 years ago

5 0

Easy,

the Pythagorean theorem is:

$a^{2} + b^{2} = c^{2}$

The a and b, being a value that you HAVE

and

c, being the value you are trying to find.

Example: have 1,2 for a triangle what is the third side?

$1^{2} + 2^{2} = c^{2}$

1+4= $c^{2}$

5= $c^{2}$

Then, just square root to find c.

$\sqrt{5}$ =c

2.2≈c

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Tell me what each angle is in the following triangle: angle 1 is 8x, angle 2 is 2x+3, angle 3: 30 degrees. give me the two answe

9966 [12]

Answer: 117.6° ; 32.4° .
_________________________
Explanation:
_______________________________________________________
Note: ALL triangles, by definition, have exactly 3 (THREE) sides and exactly 3 (THREE) angles.
_____________________
We are given the following:
_______________________
We have a triangle.

Angle 1: m∡1 = (8x) ;

Angle 2: m∡2 = (2x + 3) ;

Angle 3: m∡3 = 30.
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We are asked to find: "m∡1" and " m∡2" .
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Note: In ALL TRIANGLES, the measurements of all THREE (3) angles ALWAYS add up to 180 degrees.
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So, " m∡1 + m∡2 + m∡3 = 180 " .
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Let us substitute our given values for the measurements in EACH of
the THREE (3) angles — on the left-hand side of the equation; then solve for "x" ; then substitute that solved value for "x" into the given expressions for BOTH "m∡1" AND "m∡2" ; to find the values for " m∡1" AND " m∡2 " ; which are the values asked for in this very question ;
___________________________________________

 m∡1 + m∡2 + m∡3 = 180 ;
___________________________________________
8x + (2x + 3) + 30 = 180 ;
___________________________________________
8x + 2x + 3 + 30 = 180 ;
___________________________________________
Combine the "like terms" on the 'left-hand side" of the equation; to simplify:
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+8x + 2x = +10x ;
___________________________________________
+3 + 30 = +33 ;
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Rewrite the entire equation, as:
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10x + 33 = 180 ;
___________________________________________
Now, subtract "33" from EACH SIDE of the equation:
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10x + 33 − 33 = 180 − 33 ;
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to get:
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10x = 147 ;
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Now, divide EACH side of the equation by "10" ; to isolate "x" on ONE SIDE of the equation; and to solve for "x" :
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10x / 10 = 147 / 10 ;
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to get:
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x = 14.7 ;
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Now, given the following, we plug in our solved value, "14.7", for "x", into the expression given for "m∡1" and "m∡2"; as follows:
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Angle 1: "(8x)" = 8*(14.7) = 117.6° ;
________________________________________________
Angle 2: "2x + 3" = 2*(14.7) + 3 = 29.4 + 3 = 32.4° ;
________________________________________________
These are the two answers; that is the 2 (TWO) values asked for in the question: 117.6° ; 32.4° .
____________________________________
Do they make sense? That is, do the measurements of ALL 3 (THREE) angles; that is, our two solved measurements added together, and then added to the value of the third angle (given: "m∡3 = 30°); all add up to 180° ?
___________________________________________
Let us check:
_______________________________
m∡1 + m∡2 + m∡3 = 180 ;
_______________________________
Plugging in our solved values for "m∡1" and "m∡2" ; and our given value: "30" — for "m∡3 — does the equation hold true?
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→ 117.6 + 32.4 + 30 = ? 180 ??
______________________________________________
→ 117.6 + 32.4 = 150 ; → 150 + 30 =? 180 ? Yes!
______________________________________________

4 0

3 years ago

How to find the area of each of the shaded sectors and round to the nearest hundredth

Mazyrski [523]

Answer:

1-6 you need to write the JHI DEF where the radius center point is in the middle of each shape next to 1-6 some have 2 shapes so use 6 letters there.

Step-by-step explanation:

1. Area = 72 of 360 = 20% of 716.3 = 143.26inch*2 =JHI

2.Area = 19 of 360 = 68.4% of 69.4 = 47.46km^2 =DEF

3. Area = 92 of 360 = 25.56% of 153.9 = 39.33cm^2

4. Area = 226 of 360 = 64.57% of 706.9 = 456.45ft^2

5. Area = 74 of 360 = 20.55% of 153.9 =31.63 inch^2

6. Area = 326 of 360 = 90.56% of 1452 -137.07 = 1314.93m^2

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3 years ago

A rectangle has an area of 183.6 square miles and a base of 10.2 miles. What is the height?

aalyn [17]

18 miles

183.6 divided by 10.2 = 18, and to check the answer if we multiply 18 and 10.2 it equals 183.6

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3 years ago

ANSWER ASAP PLZ

IRISSAK [1]

Answer:

BC=QR

Step-by-step explanation:

conditions to be congruent, SSS, SAS, or ASA

Here, one side and one angle are already congruent, so another side including the angle should be same, to satisfy SAS

thus, BC=QR

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3 years ago

Peter received a $40 gift card to Starbucks for his birthday. He

MaRussiya [10]

Answer:

xr ≤ 7

Step-by-step explanation:

He must spend less than or equal to 7$ to account for 5 trips and 3 extra dollars for 1 trip.

5 0

2 years ago