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3 years ago

23 inches is what fraction of a yard

Mathematics

1 answer:

joja [24]3 years ago

6 0

Answer:

0.6

Step-by-step explanation:

1 inch = 0.0278

so 23 inches = 0.6 yard

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If there are 30 flower bouquets, 4/5 of the bouquets are daises, the rest are tulips. How many bouquets are tulips?

erastova [34]

Answer:

6 bouquets of tulips

Step-by-step explanation:

<h2><u>first find out the number of daisies.. </u></h2>

this is 4/5 * 30

= 24

there are 24 daises...

now to find the number of tulips are:

30 - 24 = 6

there a<u> 6 bouquets of tulips. </u>

4 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

Nya wants to buy a sweater that had an original price of $55. The sweater is now discounted 20% and the sales tax rate is 5.5%.

suter [353]

Answer:

$46.42

Step-by-step explanation:

a=price after discount (without sales tax)

a/55=20/100

100a=55·20

100a/100=1,100/100 (the 1,100 is from the 55·20)

You get 11 and then you have to subtract 11 from 55.

55-11=44, so a=44

Then you multiply 44·0.055 (you get 0.055 because you have to make 5.5% a decimal. You get 2.42.

You add 2.42 and 44 and you get $46.42

6 0

3 years ago

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Draw the graphs of the lines below on the same grid to find the coordinates of the point of

Amanda [17]

Answer:

(2,2) is the solution of the given lines.

Step-by-step explanation:

Given that,

y = x ..(1)

y = 3x-4 ...(2)

We need to find the coordinates of the point of intersection.

From equation (1) and (2).

x=3x-4

4 = 3x-x

4 = 2x

x = 2

Also,

y = 2

<h3>Hence, the coordinates of the point of intersection is (2,2).</h3>

3 0

3 years ago

In the 7th grade, 132 students take Spanish as an elective. If there are 330 seventh graders, what percent of

klasskru [66]

Answer:

Step-by-step explanation: 40% 132/330=0.4 and 0.4 as a percent is 40%

8 0

3 years ago

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