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3 years ago

Please tell me the last one, 12 and 8

Mathematics

1 answer:

arlik [135]3 years ago

4 0

The number of the day is 60 because the LCM is 30

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Evalaute the following without using a calculator: cos(13pi/6)

Harman [31]

$the\ cos\ function\ is\ periodic:\ \ \ the\ period=2 \pi\\\\cos(2 \pi + \alpha )=cos \alpha \\\\------------------------\\\\cos\bigg{(} \frac{\big{13 \pi }}{\big{6}}\bigg{)}=cos\bigg{(} 2 \pi +\frac{\big{ \pi }}{\big{6}}\bigg{)}=cos\bigg{(} \frac{\big{ \pi }}{\big{6}}\bigg{)}= \frac{\big{ \sqrt{3} }}{\big{2}}$

5 0

3 years ago

Read 2 more answers

48% of the children in a summer camp are boys. If there are 1536 boys, how many children are there in the

pantera1 [17]

there are 3200 children in the summer camp.

Step-by-step explanation:

Percentage of boys in summer camp= 48%

No of boys in summer camp=1536 boys

Total number of children in summer camp= $\frac{1536}{48}*100\\ =3200$

So, there are 3200 children in the summer camp.

Keywords: Word Problems having Percentage

Learn more about word problems at:

#learnwithBrainly

3 0

3 years ago

The bases of a trapezoid lie on the lines y=2X +7 and y= 2X -5. Write the equation that contains the midsegment of the trapezoid

ryzh [129]

Given:

The bases of a trapezoid lie on the lines

$y=2x+7$

$y=2x-5$

To find:

The equation that contains the midsegment of the trapezoid.

Solution:

The slope intercept form of a line is

$y=mx+b$

Where, m is slope and b is y-intercept.

On comparing $y=2x+7$ with slope intercept form, we get

$m_1=2,b_1=7$

On comparing $y=2x-5$ with slope intercept form, we get

$m_2=2,b_2=-5$

The slope of parallel lines are equal and midsegment of a trapezoid is parallel to the bases. So, the slope of the bases line and the midsegment line are equal.

$m=m_1=m_2=2$

The y-intercept of one base is 7 and y-intercept of second base is -5. The y-intercept of the midsegment is equal to the average of y-intersects of the bases.

$b=\dfrac{b_1+b_2}{2}$

$b=\dfrac{7-5}{2}$

$b=\dfrac{2}{2}$

$b=1$

So, the y-intercept of the required line is 1.

Putting m=2 and b=1 in slope intercept form, we get

$y=2x+1$

Therefore, the equation of line that contains the midsegment of the trapezoid is $y=2x+1$ .

7 0

2 years ago

A certain forest covers an area of 2100 km². Suppose that each year this area decreases by 3.5%. What will the area be after 5 y

Blizzard [7]

Answer:

$\large\boxed{\sf \ \ \ 1757 \ km^2 \ \ \ }$

Step-by-step explanation:

Hello,

I would recommend that you checked the answers I have already provided as this is the same method for all these questions, and maybe try to solve this one before you check the solution.

At the beginning the area is 2100

After one year the area will be

2100*(1-3.5%)=2100*0.965

After n years the area will be

$2100\cdot0.965^n$