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il63 [147K]
3 years ago
15

Forty eight feet equals how many yards?

Mathematics
1 answer:
Ainat [17]3 years ago
8 0

Answer: 16yards

Step-by-step explanation:

48feet equals how many yards

Remember

1yard equals 3feet

Let the unknown yard be x

1yard equals 3feet

xyard equals 48feet

Cross multiply

3×X=48×1

X=48/3

X=16

Therefore

16yards equals 48feet

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Plz HELP! WILL GIVE BRAINLIEST!<br><br>1. Consider the picture below. Find the measure of ∠CEA.
pashok25 [27]

Answer:

  103°

Step-by-step explanation:

The marked angles have the same measure, so ...

  14x+7 = 12x +17

  2x = 10 . . . . . subtract 12x+7

  x = 5 . . . . . . . divide by 2

  (14x +7)° = 77°

∠CEA is supplementary to the marked angles:

  ∠CEA = 180° -77°

  ∠CEA = 103°

4 0
3 years ago
Plz hurry!!!! thank you!!!!
Nikitich [7]

Answer:

Area of trapezium = 4.4132 R²

Step-by-step explanation:

Given, MNPK is a trapezoid

MN = PK and ∠NMK = 65°

OT = R.

⇒ ∠PKM = 65° and also ∠MNP = ∠KPN = x (say).

Now, sum of interior angles in a quadrilateral of 4 sides = 360°.

⇒ x + x + 65° + 65° = 360°

⇒ x = 115°.

Here, NS is a tangent to the circle and ∠NSO = 90°

consider triangle NOS;

line joining O and N bisects the angle ∠MNP

⇒ ∠ONS = \frac{115}{2} = 57.5°

Now, tan(57.5°) = \frac{OS}{SN}

⇒ 1.5697 = \frac{R}{SN}

⇒ SN = 0.637 R

⇒ NP = 2×SN = 2× 0.637 R = 1.274 R

Now, draw a line parallel to ST from N to line MK

let the intersection point be Q.

⇒ NQ = 2R

Consider triangle NQM,

tan(∠NMQ) = \frac{NQ}{QM}

⇒ tan65° = \frac{NQ}{QM}

⇒ QM = \frac{2R}{2.1445}

QM = 0.9326 R .

⇒ MT = MQ + QT

          = 0.9326 R + 0.637 R  (as QT = SN)

⇒ MT = 1.5696 R

⇒ MK = 2×MT = 2×1.5696 R = 3.1392 R

Now, area of trapezium is (sum of parallel sides/ 2)×(distance between them).

⇒ A = (\frac{NP + MK}{2}) × (ST)

       = (\frac{1.274 R + 3.1392 R}{2}) × 2 R

       = 4.4132 R²

⇒ Area of trapezium = 4.4132 R²

5 0
3 years ago
Help anybody? If so thanks
777dan777 [17]
Acute angle and a right angle makes a obtuse I learned this in 4th
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2 years ago
PLS HELP ME I BEG YOU<br> Pleaseee help me solve this sistem of equations with stepss
Sophie [7]
The answer should be 16
5 0
2 years ago
4x + 10 = 2x - 14<br> Find the value of x.
Gre4nikov [31]

Answer:

x= -12

Step-by-step explanation:

Simplifying

4x + 10 = 2x + -14

Reorder the terms:

10 + 4x = 2x + -14

Reorder the terms:

10 + 4x = -14 + 2x

Solving

10 + 4x = -14 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

10 + 4x + -2x = -14 + 2x + -2x

Combine like terms: 4x + -2x = 2x

10 + 2x = -14 + 2x + -2x

Combine like terms: 2x + -2x = 0

10 + 2x = -14 + 0

10 + 2x = -14

Add '-10' to each side of the equation.

10 + -10 + 2x = -14 + -10

Combine like terms: 10 + -10 = 0

0 + 2x = -14 + -10

2x = -14 + -10

Combine like terms: -14 + -10 = -24

2x = -24

Divide each side by '2'.

x = -12

Simplifying

x = -12

3 0
2 years ago
Read 2 more answers
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