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Serjik [45]
2 years ago
13

The perimeter of a rectangular e room is 24 feet. Twice the length

Mathematics
1 answer:
andrey2020 [161]2 years ago
3 0

Answer:

i am gessing to divide

Step-by-step explanation:

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Points H and F lie on circle c What is the length of line segment GH?
Nina [5.8K]

Answer:

6 units

Step-by-step explanation:

Given: Points H and F lie on  circle with center C. EG = 12, EC = 9 and ∠GEC = 90°.

To find: Length of GH.

Sol: EC = CH = 9 (Radius of the same circle are equal)

Now, GC = GH + CH

GC = GH + 9

Now In ΔEGC, using pythagoras theorem,

(Hypotenuse)^{2} = (Base)^{2} +(Altitude)^{2} ......(ΔEGC is a right triangle)

(GC)^{2} = (GE)^{2} +(EC)^{2}

(GH + 9)^{2} = (9)^{2} +(12)^{2}

(GH )^{2} + (9)^{2} + 18GH = 81 + 144

(GH )^{2} + 81 + 18GH = 81 + 144

(GH )^{2} + 18GH = 144

Now, Let GH = <em>x</em>

x^{2} +18x = 144

On rearranging,

x^{2} +18 x - 144 = 0

x^{2} - 6x +24x + 144 = 0

x (x-6) + 24 (x - 6) =0

(x - 6) (x + 24) = 0

So x = 6  and x = - 24

∵ x cannot be - 24 as it will not satisfy the property of right triangle.

Therefore, the length of line segment GH = 6 units. so, Option (D) is the correct answer.

3 0
2 years ago
Read 2 more answers
Christopher bought a new watch at the store when they were having a 20\%20% off sale. If the regular price of the watch was \$48
Aleonysh [2.5K]

Answer:

38.4

Step-by-step explanation:

48*20%=9.6 48-9.6=38.4

7 0
3 years ago
Given f(x)=x-10. what is f(-7)
Vlad [161]
f( - 7) = ( - 7) - 10 \\ = -1 7
answer is -17
5 0
2 years ago
ANOTHER 20 POINTS
Mnenie [13.5K]

Answer:

$960

Step-by-step explanation:

1/5= .2

1-0.2= 0.8

1200×0.8= 960

7 0
2 years ago
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A cube has a volume of 64 cubic meters what is the length of each edge
Murljashka [212]

Answer:

The length of each side is 4 m

Step-by-step explanation:

The volume of a cube is given by

V = s^3 where s is the side length

64 = s^3

Take the cube root of each side

64 ^ (1/3) = s^3 ^ (1/3)

4 = s

The length of each side is 4 m

7 0
3 years ago
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