Mathematics, 11.12.2020 07:30 tyrique86

Help plsss brainliest goes to first right answer

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Answer from: dsanders20

$Area\ of\ whole\ figure\ = 49.12 ft^2\\$

Step-by-step explanation:

If we see closely the figure consists of right angled triangle and a semi-circle, so area of the whole figure would be Area of the triangle + Area of the semi-circle so here goes,

We calculate firstly the Area of the triangle,

$Area\ of\ triangle\ =\frac{1}{2}*b*h\\\\Area\ of\ triangle\ =\frac{1}{2}*6*8\\\\Area\ of\ triangle\ =24\ ft^{2} \\$

Now we calculate the area of the semi-circle,

Semi-circle is also called as Half of a circle, so,

$Area\ of\ a\ circle\ = \pi r^2$

then area of half a circle would be,

$Area\ of\ a\ semi\ circle\ = \frac{\pi r^2 }{2} \\$

where r is the radius of the circle,

but we don't have the radius we have the diameter which is 8ft to find out the value of radius we divide the diameter by 2 , the formula is:

d=2r

where d is the diameter and r is the radius of the circle, so,

$d=2r\\8=2r\\8/2=r\\4=r\\$

so now we insert the value of radius which is 4ft into the area of a semi-circle,

$Area\ of\ a\ semi\ circle\ = \frac{\pi r^2 }{2} \\\\Area\ of\ a\ semi\ circle\ = \frac{\pi (4)^2 }{2} \\\\Area\ of\ a\ semi\ circle\ = \frac{16\pi }{2} \\\\Area\ of\ a\ semi\ circle\ = 25.12\ ft^2\\$

Now the Area of the whole figure is

Area of Whole figure = Area of half a circle + Area of triangle

Area of whole figure = 25.12 + 24

Area of whole figure = 49.12 ft^2

Answer from: Quest

the answer would be 150 books

step-by-step explanation:

if you divide 300 by 2 you will get 150

Answer from: Quest

$a_1 = 1$ , and

$a_{n+1} = a_n + (n + 1)$ for $n \ge 1$

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote $a_1 = 1$ , $a_2 = 3$ , $a_3 = 6$ , so that we can call

1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.

note the following:

from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from $a_1 = 1$ , to get to $a_2 = 3$ , we add $2(=1+1)$

from $a_2 = 3$ , to get to $a_3 = 6$ , we add $3 (=2+1)$

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

$a_1 = 1$ , and $a_{n+1} = a_n +(n + 1)$ for $n \ge 1$

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