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3 years ago

Sorry to bother you, but I am STUGGLYINGGG

Mathematics

2 answers:

Eddi Din [679]3 years ago

7 0

Answer:

the answer is a

Step-by-step explanation:

the rest are correct

Y_Kistochka [10]3 years ago

6 0

I think the answer is a

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A rectangular patio is 9 ft by 6 ft. When the length and width are increased by the same amount, the area becomes 88 sq ft. Ging

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2 years ago

Chord AB is 3cm from the center of a circle, the radius of the circle is 5cm, calculate the length of the chord.

yan [13]

Answer:

$\large{\boxed{\sf Chord = 8cm }}$

Step-by-step explanation:

First see figure in attachment . As we know that ,Perpendicular from centre of the circle bisects the chord . Hence here ,

OC is the perpendicular bisector of chord AB .
Let us assume that AC = x , therefore ,

$\sf\qquad\longrightarrow AB = 2AC = 2x$

Now in ∆OAC , by Pythagoras Theorem , we have ;

$\sf\qquad\longrightarrow (5cm)^2= x^2+(3cm)^2\\$

$\sf\qquad\longrightarrow 25cm^2=x^2+9cm^2\\$

$\sf\qquad\longrightarrow x^2=25cm^2-9cm^2\\$

$\sf\qquad\longrightarrow x^2=16cm^2\\$

$\sf\qquad\longrightarrow \pink{ x = 4cm }$

Therefore , the length of chord will be ,

$\sf\qquad\longrightarrow AB = 2x \\$

$\sf\qquad\longrightarrow AB = 2(4cm)\\$

$\sf\qquad\longrightarrow \pink{ AB = 8cm }$

Hence the length of chord is 8cm .

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