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2 years ago

Find the quotient. Express your answer as a mixed number in simplest form. 334 ÷ 112

Mathematics

1 answer:

Mashcka [7]2 years ago

3 0

Answer:

2 and 55/56

Step-by-step explanation:

334/ 112= 2.982142857 or 2 and 55/56

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Divide ₹ 60 in the ratio 1 : 2 between Kriti and Kiran.

erica [24]

Answer:

Step-by-step explanation:

https://d1avenlh0i1xmr.cloudfront.net/large/53ca8d0d-

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3 years ago

Read 2 more answers

A rectangle has length 72 cm and width 56 cm. The other rectangle has the same area as this one, but its width is 21 cm. What is

Ira Lisetskai [31]

The length of the rectangle is = 72 cm

The width of the rectangle is = 56 cm

Area of the rectangle is = $length*width$

= $72\times56=4032$ cm²

As given, the other rectangle has the same area as this one, but its width is 21 cm.

Let the length here be = x

$4032=x*21$

$x=\frac{4032}{21}=192$

Hence, length is 192 cm.

We can see that as width decreases, the length increases if area is constant and when length decreases then width increases if area is constant.

So, in the new rectangle,constant of variation=k is given by,

$\frac{192}{72}=\frac{8}{3}$ or $\frac{56}{21}=\frac{8}{3}$

Hence, the constant of variation is $\frac{8}{3}$

7 0

2 years ago

What facts are required in order to conclude that m∠ADE = m∠ABC?

mariarad [96]

Answer:

The correct option is;

DE = 2·(BC), AD = 2·(AB), and AE = 2·(AC)

Step-by-step explanation:

Given that we have;

1) The side AD of the angle m∠ADE corresponds to the side AB of the angle m∠ABC

2) The side DE of the angle m∠ADE corresponds to the side BC of the angle m∠ABC

3) The side AE of the angle m∠ADE corresponds to the side AC of the angle m∠ABC

Then when we have DE = 2·(BC), AD = 2·(AB), and AE = 2·(AC), we have by sin rule;

AE/(sin(m∠ADE)) = 2·(AC)/(sin(m∠ABC)) = AE/(sin(m∠ABC))

∴ (sin(m∠ADE)) = (sin(m∠ABC))

m∠ADE) = m∠ABC).

3 0

3 years ago

Wesley is making a patio from stones of two sizes, 5 inches wide and 10 inches wide. he wants to begin and end his pattern with

kolezko [41]

Wesley will need 10 10-inch stones, and 9 5-inch stones.

Since he wants to begin and end the pattern with 10-inch stones, we put a 10 at the beginning and end.

10 5 10 5 10 5 10 5 10 5 10 5 10 5 10 5 10 5 10

10 x 10-inch = 100 inches
9 x 5-inch = 45 inches

100 + 45 = 145 inches

4 0

3 years ago

A medical researcher needs 37 people to test the effectiveness of an experimental drug. If 101 people have volunteered for the t

Rashid [163]

Answer:

The number of ways to select 37 people from 101 is, 5,397,234,129,638,871,133,346,507,775.

Step-by-step explanation:

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

${n\choose k}=\frac{n!}{k!\cdot (n-k)!}$

Compute the number of ways to select 37 people from 101 as follows:

${101\choose 37}=\frac{101!}{37!\cdot (101-37)!}$

$=\frac{101!}{37!\times 64!}\\\\=\frac{101\times 100\times 99\times....64!}{37!\times 64!}\\\\=5397234129638871133346507775$

Thus, the number of ways to select 37 people from 101 is, 5,397,234,129,638,871,133,346,507,775.

5 0

2 years ago