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3 years ago

What place value was the number rounded .546 to .55

Mathematics

1 answer:

tatyana61 [14]3 years ago

5 0

The hundredths place value was rounded.

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Andy used 1\6 of a can of paint to cover 1\2 of a wall. How much of the can of paint did Andy use to paint the whole wall? Expre

Y_Kistochka [10]

1/6 + 1/6 = 2/6 = 1/3

6 0

3 years ago

Read 2 more answers

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

Is 3.24538 rational

7nadin3 [17]

Answer:

yes

Step-by-step explanation:

3.24538 is rational

3 0

3 years ago

Read 2 more answers

True or false?, If I earn 60% more than you,then you must earn 37.5% less than me

neonofarm [45]

Answer:

True

Step-by-step explanation:

We have two salaries:

My salary is A

Your salary is B

If I earn 60% more than you

This means that

$A = (1 + 0.6)B = 1.6B$

You must earn 37.5% less than me

The ratio between your salary and mine is:

$r = \frac{B}{1.6B} = 0.625$

Your salary is 62.5% of mine. So you earn 100-62.5 = 37.5%. So this is true.

7 0

3 years ago

Working out the question<br>

Blizzard [7]

Answer: ∠AOB = 100°

Step-by-step explanation:

This is found in the circle geometry. The theorem in solving this stated that the angle which an arc of a circle subtends at the centre of the circle is twice that which it subtends at any point on the remaining part of the circumference of the circle

Therefore

∠AOB = 2 x ∠ACB

= 2 x 50°

= 100°

7 0

3 years ago