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muminat
3 years ago
13

A goat is tethered by a 6 metre rope to the outside corner of a shed measuring 4 metres by 5 metres in a grassy field. What area

of grass can the goat graze? ...?
Mathematics
1 answer:
Naily [24]3 years ago
8 0
(3/4)∗π∗62=27π
Also , the goat can reach around the corners by 2 on the short sides and 1 on long side.creating 2 90 degree sectors of additional grazing area.(1/4)∗π∗22=π
(1/4)∗π∗12=π/4
27π+π+π/4=28.25π
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Factorise the expression fully; 72ab-36bc+48bd​
Serggg [28]

72ab-36bc+48bd

Factor out 12b from the expression

12b x(6a-3c+4d)

Answer : 12b x(6a-3c+4d)

4 0
3 years ago
What is 18/30 in simplest form?
qaws [65]
To simply this, you just divide the numerator and denominator by its GCF (Greatest common factor)

Factors of 18 : 1,2,3,6,9,18
Factors of 30 : 1,2,3,5,6,10,15,30
As you can see, the great common factors of 18 and 30 is 6.

So divide 18 by 6 and 30 by 6, and you get 3 and 5

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3 0
3 years ago
Read 2 more answers
It’s due tomorrow plz HELP
Vikentia [17]

1)

\dfrac{3}{4}  + 5 -  \dfrac{1}{2}  = \dfrac{3}{4}  +  \dfrac{20}{4} -  \dfrac{2}{4}  =  \dfrac{21}{4}  = 5 \dfrac{1}{4}

2)

\dfrac{2}{3}  +  {2}^{3}  -  \dfrac{1}{3}  =  \dfrac{2}{3}  +  \dfrac{24}{3}  -  \dfrac{1}{3}  =  \dfrac{25}{3}  = 8 \dfrac{1}{3}

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- 15 + 6x - 19 - 20x =  - 14x - 34

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14 + x = 18 \\ x = 18 - 14 \\ x = 4

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7)

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7 0
3 years ago
Solve GHI. Round the answer to the nearest hundredth.
Sedaia [141]

Answer:

Part 1) HI=15\ units

Part 2)

Part 3) < I=28.07\°

The answer is the option A

Step-by-step explanation:

Part 1) Find the measure of side HI

Applying the Pythagoras Theorem

GI^{2} =GH^{2}+HI^{2}

substitute the values and solve for HI

17^{2} =8^{2}+HI^{2}

HI^{2}=17^{2}-8^{2}

HI^{2}=225

HI=15\ units

Part 2) Find the measure of angle G

In the right triangle GHI

cos(G)=\frac{GH}{GI}

substitute the values

cos(G)=\frac{8}{17}

G=arccos(\frac{8}{17})=61.93\°

Part 3) Find the measure of angle I

Remember that

The sum of the interior angles of a triangle must be equal to 180 degrees

so

substitute the values

61.93\°+90\°+< I=180\°

< I=180\°-(61.93\°+90\°)=28.07\°

7 0
3 years ago
Plz I need help I really need help
Fynjy0 [20]

Answer:

-1 1/2

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
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