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3 years ago

Lela to determine the largest of the following real numbers

Mathematics

1 answer:

Lisa [10]3 years ago

3 0

In ths question, we have a set of numbers, and we have to determine the largest real number

$\sqrt{30}-5 , 3 \sqrt{14}-6 , 6.03, 2 \pi$

First we need to convert each of them in decimal form. That is

$\sqrt{30}-5 =0.477
\\
3 \sqrt{14}-6 = 5.22
\\
6.03=6.03
\\
2 \pi = 2*314=6.28$

So we have

0.477, 5.22,6.03,6.28

And 6.28 is the largest among them. Therefore correct option is 2pi .

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professor190 [17]

It can be written as: 1 T-Shirt per 5 people

If you have any further questions feel free to ask.

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In B E C, F is the centroid, and AC = 12. Find A F and F C

klemol [59]

bearing in mind that the centroid in a triangle cuts each of the three medians in a 2:1 ratio.

since we know that A C = 12, let's split it in a 2:1 ratio then, cleary from the picture the larger is F C, so F C : A F is on a 2:1 ratio.

$\bf A C=A F+F C\qquad \qquad \cfrac{F C}{A F}=\cfrac{2}{1}\qquad \qquad \cfrac{2\cdot \frac{12}{2+1}}{1\cdot \frac{12}{2+1}}\implies \cfrac{2\cdot 4}{1\cdot 4}\implies \cfrac{8}{4}$

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3 years ago

Rahul solved the equation 2(x – ) – 2 left-parenthesis x minus StartFraction 1 Over 8 EndFraction right-parenthesis minus StartF

Ghella [55]

Rahul use addition property of equality in step 2.

Solution:

The image of the question is attached below.

Step 1:

$$2 x-\frac{1}{4}-\frac{3}{5} x=\frac{55}{4}$

combine like terms together.

$$2 x-\frac{3}{5} x-\frac{1}{4}=\frac{55}{4}$

To make the denominator same multiply and divide 2x by 5.

$$\frac{10}{5} x-\frac{3}{5} x-\frac{1}{4}=\frac{55}{4}$

Step 2:

$$\frac{7}{5} x-\frac{1}{4}=\frac{55}{4}$

By addition property of equality, add $\frac{1}{4}$ on both side of the equation.

$$\frac{7}{5} x-\frac{1}{4}+\frac{1}{4}=\frac{55}{4}+\frac{1}{4}$

Step 3:

$$ \frac{7}{5} x=\frac{56}{4}$

Step 4:

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Hence Rahul use addition property of equality in step 2.

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Your answer is <em>3/7</em>

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An employee at a department store is stocking cell phone cases. He has a box of 80 cases. Among the 80 cases, 40 are black, 10 a

Salsk061 [2.6K]

Answer:

$\sf \dfrac{203}{4108}$

As a decimal = 0.05 (nearest hundredth)

Step-by-step explanation:

$\sf Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ possible \ outcomes}$

First pick:

$\sf \implies P(pink)=\dfrac{30}{80}$

As the case is NOT replaced, second pick:

$\sf \implies P(pink)=\dfrac{30-1}{80-1}=\dfrac{29}{79}$

As the case is NOT replaced, third pick:

$\sf \implies P(pink)=\dfrac{29-1}{79-1}=\dfrac{28}{78}$

Therefore,

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Answer as a decimal = 0.05 (nearest hundredth)

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2 years ago