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2 years ago

Name the property illustrated (7+8)+9=7+(8+9) I need help plz

Mathematics

1 answer:

Svetllana [295]2 years ago

3 0

Answer:

i believe it is associative property

Step-by-step explanation:

hope this helps, sry if im wrong

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3 years ago

Jay is 3 years less than 4 times Nelly’s age ( n ). Which expression represents Jay’s age?

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Answer:

Step-by-step explanation: 3x4= 12 -3=9

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3 years ago

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If the surface area of a cube is 384, what is the length of one of the sides of<br> the cube?

Setler79 [48]

Answer:

S = 8

Each side of a face is 8 units.

Step-by-step explanation:

The surface area of the cube is 384 units.

One face of the cube has an area of s^2

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3 years ago

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Divide and simplify 4/7÷(-11/2)

lys-0071 [83]

Answer: $-\frac{8}{77}$

Step-by-step explanation:

$\frac{\frac{4}{7} }{-\frac{11}{2} }$

Multiply by the reciprocal in order to get rid of the fraction in the denominator.

$\frac{\frac{4}{7} }{-\frac{11}{2} }*-\frac{2}{11}$

$\frac{4}{7}*-\frac{2}{11}$

$-\frac{8}{77}$

4 0

3 years ago

1)a chord of length 18cm midway the radius of a circle. calculate the radius of the circle correct to 1d.p. 2)if two parallel ch

kykrilka [37]

Part 1:

Given that the length of the chord is 18 cm and the chord is midway the radius of the circle.

Thus, half the angle formed by the chord at the centre of the circle is given by:

$\cos\theta=\frac{\left( \frac{1}{2} r\right)}{r}= \frac{1}{2} \\ \\ \Rightarrow\theta=\cos^{-1}\left( \frac{1}{2} \right)=60^o$

Now,

$\sin60^o= \frac{9}{r} \\ \\ \Rightarrow r= \frac{9}{\sin60^o} =10.392$

Therefore, the radius of the circle is 10.4 cm to 1 d.p.

Part 2I:

Given that the radius of the circle is 10 cm and the length of chord AB is 8 cm. Thus, half the length of the chord is 4cm. Let the distance of the mid-point O to /AB/ be x and half the angle formed by the chord at the centre of the circle be θ, then

$\sin\theta= \frac{4}{10} = \frac{2}{5} \\ \\ \theta=\sin^{-1}\left( \frac{2}{5} \right)=23.6^o$

Now,

$\cos23.6^o= \frac{x}{10} \\ \\ \Rightarrow x=10\cos23.6^o=9.165\approx9.2cm$

Part 2II:

Given that the radius of the circle is 10cm and the angle distended is 80 degrees. Let half the length of chord CD be y, then:

$\sin40^o= \frac{y}{10} \\ \\ \\ \Rightarrow y=10\sin40^o=6.428$

Thus, the length of chord CD = 2(6.428) = 12.856 which is approximately 12.9 cm.

3 0

3 years ago