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Romashka-Z-Leto [24]
3 years ago
14

Can someone help me with this?

Mathematics
2 answers:
aniked [119]3 years ago
6 0
The answer is 5/42.
KatRina [158]3 years ago
5 0
Here it goes: 5/8=0.625

1/4=0.25

0.25 x 0.625 = 0.15625 (which in fraction is 5/32 )

Therefore the answer is 5/32. Hope this helped :)
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Drag and drop formal proof. Prove the Polygon Exterior Angle Sum Theorem for the enclosed triangle, that is ∠1+∠2+∠3=360°
jasenka [17]

Answer:

The sum of all the external angles of a triangle is 360°.

Step-by-step explanation:

Let there are n sides in a polygon.

So, there are n internal angles in the polygon, let ∠i1, ∠i2, ∠i3, ..., ∠in are the measure of n internal angles of the polygon.

The measure of external angle corresponding to ∠i1,  ∠1= 180°-∠i1,

The measure of external angle corresponding to ∠i2, ∠2 = 180°-∠i2,

Similarly, the measure of external angle corresponding to ∠in, ∠n = 180°-∠in.

Now, the sum of all the external angles of the polygon,

(∠1+∠2+...+∠n)=(180°-∠i1)+(180°-∠i2)+...+(180°-∠in)

=(180°+180°+...n times)-(∠i1+∠i2+...+∠in)

=n x 180° - (∠i1+∠i2+...+∠in)

As ∠i1+∠i2+...+∠in is the sum of all the internal angles of the polygon.

So, the sum of all the external angles of the polygon =

(n x 180°) - (sum of all the internal angles of the polygon).

In the case of a triangle, n=3  and the sum of all the three internal angles, ∠i1+∠i2+∠i3 = 180°.

Therefore, the sum of all the external angles of a triangle,

∠1+∠2+∠3 =3x180°-(∠i1+∠i2+∠i3)

                 =540°=180°

                 =360°.

Hence, the sum of all the external angles of a triangle is 360°.

5 0
3 years ago
50 points help asap!
Luden [163]

Answer:

58 feet.

Step-by-step explanation

Since the angle given is across from the length we need to find and we are given the hypotenuse, we use sine.

Sin(46)=x/80 where x is the height of the triangle and 80 is the hypotenuse.

80sin(46)=x

x=57.55 or 58 feet.

8 0
3 years ago
Read 2 more answers
On Monday you sent x number of text messages. On Tuesday you sent twice as many. On Wednesday you sent 12 more texts than you se
kykrilka [37]

Answer: Expression represents the number of text messages you sent on Tuesday = 2x

Expression represents the number of text messages you sent on Wednesday = 12+2x

Expression represents the number of text messages you sent on Thursday = x+6

Step-by-step explanation:

Given:

Number of text messages sent on Monday = x

On Tuesday, Number of text messages sent  = 2 (Number of messages sent on Monday)

= 2 x

On Wednesday, Number of text messages sent  = 12+ (Number of messages sent on Tuesday)

= 12 +2x

On Thursday, Number of text messages sent  = \dfrac12(2x+12)

= x+6

Expression represents the number of text messages you sent on Tuesday = 2x

Expression represents the number of text messages you sent on Wednesday = 12+2x

Expression represents the number of text messages you sent on Thursday = x+6

5 0
3 years ago
Read 2 more answers
Eya is 5 years younger than 3 times Bills age. If Eya is 28 how old is Bill?
Sedaia [141]
Bill's age = x

Eya's age = 3x - 5

Eya is 28

28 = 3x - 5

28 (+5) = 3x -5 (+5)

33 = 3x

33/3 = 3x/3

x = 11

Bill = x

x = 11

Bill is 11 years old

hope this helps
4 0
3 years ago
You are building a toothpick fort for class. Each wall must be 1 1⁄3 feet long. Each toothpick is 2 inches long. How many toothp
Mariana [72]

Answer: 68/67.8 toothpicks

Step-by-step explanation

first convert how many inches 11.3 feet is

11.3 = 135.6 inches

so after you get your number you get your calculator and divide it by how many inches the toothpicks are

135.6 ÷ 2= 67.8

then to get a solid answer you would round it to a whole number

67.8--> 68

so you ether say the rounded number or you cut .2 inches off the last toothpick

(also im not sure if its 11.3ft or 113ft so if so then take away the decimal and do the same math, you'll end up with 678 toothpicks)

6 0
3 years ago
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