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Vsevolod [243]
3 years ago
7

A piece of cloth is 12 yards in length. if 3/4 of the cloth is used for bedsheet, how many yards of the cloth will be left?

Mathematics
1 answer:
larisa [96]3 years ago
3 0

Answer:

9 yards

Step-by-step explanation:

multiply the length of the cloth by the length used for bedsheet

12*\frac{3}{4}\\9 yards

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Warren has a container which holds 22 books of the same shape and size. The exact breakdown of his books is shown below:
ohaa [14]

Given:

Total number of book = 22

Number of white books = 6

Number of Purple books = 9

Number of green books = 7

To find:

The probability that Warren takes out a green book in both draws (with replacement).

Solution:

We know that,

\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}

P(\text{White})=\dfrac{6}{22}

P(\text{Purple})=\dfrac{9}{22}

P(\text{green})=\dfrac{7}{22}

After replacement, the probability of event remains the same and the independent.

The probability that Warren takes out a green book in both draws is:

P=P(\text{green})\times P(\text{green})

P=\dfrac{7}{22}\times \dfrac{7}{22}

P=\dfrac{49}{484}

Therefore, the correct option is (a).

7 0
3 years ago
A block of concrete is 1m long, 50cm wild and 4cm thick. 1.calculate the volume of the block in cm3 .2.if 1cm has a mass of 2.7g
Nonamiya [84]

9514 1404 393

Answer:

  • 20,000 cm³
  • 54 kg

Step-by-step explanation:

1 m is 100 cm, so the volume is ...

  V = LWH

  V = (100 cm)(50 cm)(4 cm) = 20,000 cm³ . . . volume

__

The mass is ...

  (20,000 cm³)(2.7 g/cm³) = 54,000 g = 54 kg

The mass of the block is 54 kg.

7 0
3 years ago
7.1 as a fraction or mixed number in simplest form?
Andreas93 [3]

The simpliest form is 71/10, the fraction

Step-by-step explanation:

Since this isn't a really small (1/1000000000) or really big (like the radius of the earth) number you don't need the standard notation, so the fraction 71/10 is the simpliest because there is only a decimal, so it can be a fraction of ten.

8 0
2 years ago
Read 2 more answers
in the circl below, AD is diameter and AB is tangent at A. Suppose mADC=228*, find the measures of mCAB and mCAD. Type your nume
Andrew [12]

Given:

AD is diameter of the circle, AB is the tangent, and measure of arc ADC is 228 degrees.

To find:

The m\angle CAB and m\angle CAD.

Solution:

AD is diameter of the circle. So, the measure of arc AD is 180 degrees.

m(arcADC)=m(arcAD)+m(arcDC)

228^\circ=180^\circ+m(arcDC)

228^\circ-180^\circ+=m(arcDC)

48^\circ+=m(arcDC)

The measure inscribed angle is half of the corresponding subtended arc.

m\angle CAD=\dfrac{1}{2}\times m(arcDC)

m\angle CAD=\dfrac{1}{2}\times 48^\circ

m\angle CAD=24^\circ

AB is the tangent. So, m\angle BAD=90^\circ because radius is perpendicular on the tangent and the point of tangency.

m\angle BAD=m\angle CAB+m\angle CAD

90^\circ=m\angle CAB+24^\circ

90^\circ -24^\circ=m\angle CAB

66^\circ=m\angle CAB

Therefore, m\angle CAB=66^\circ and m\angle CAD=24^\circ.

4 0
3 years ago
Raina bought three books at a bookstore. Here are their prices (in dollars). 18.8, 4, 9.38 What is the total amount Raina paid a
artcher [175]

Answer:

$32.18

Step-by-step explanation:

It's really just addition. No explanation necessary.

4 0
3 years ago
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