Just convert the fractions into decimals. for example, 6 1/2 equals 6.5 as a decimal. 1 9/10 would be converted to 1.9. Then just do 6.5-1.9, and that equals 4.6.
Make each known side into a ratio like so...
75/6
(Because 75 is the shadow casted by the building, and 6 is the shadow casted by sarah)
and 50/x
(50 is how tall the building is and sarah's height is what needs to be found)
Therefore,
75 50
---- -----
6 x
Do cross products;
50 x 6 = 75 x X
300 = 75x
Divide by 75
x = 4ft
<h2><u>Part A:</u></h2>
Let's denote no of seats in first row with r1 , second row with r2.....and so on.
r1=5
Since next row will have 10 additional row each time when we move to next row,
So,
r2=5+10=15
r3=15+10=25
<u>Using the terms r1,r2 and r3 , we can find explicit formula</u>
r1=5=5+0=5+0×10=5+(1-1)×10
r2=15=5+10=5+(2-1)×10
r3=25=5+20=5+(3-1)×10
<u>So for nth row,</u>
rn=5+(n-1)×10
Since 5=r1 and 10=common difference (d)
rn=r1+(n-1)d
Since 'a' is a convention term for 1st term,
<h3>
<u>⇒</u><u>rn=a+(n-1)d</u></h3>
which is an explicit formula to find no of seats in any given row.
<h2><u>Part B:</u></h2>
Using above explicit formula, we can calculate no of seats in 7th row,
r7=5+(7-1)×10
r7=5+(7-1)×10 =5+6×10
r7=5+(7-1)×10 =5+6×10 =65
which is the no of seats in 7th row.
Answer:
Solution given:
BD=35ft
AC=43ft
AB=8ft
EF=33-8=25ft
AE=26ft
Now
area of right angled triangle ∆AEF
=½(EF*AE)=½(25×25)=312.5ft²
area of parallel trapezoid=½AB(BD+AC)
=½*8(35+43)=312ft²
<u>So</u>
<u>Area</u><u> </u><u>of</u><u> </u><u>polygon</u><u> </u><u>:</u><u> </u><u>3</u><u>1</u><u>2</u><u>.</u><u>5</u><u>+</u><u>3</u><u>1</u><u>2</u><u>=</u><u>6</u><u>2</u><u>4</u><u>.</u><u>5</u><u>f</u><u>t</u><u>²</u><u> </u><u>is</u><u> </u><u>a</u><u> </u><u>required</u><u> </u><u>answer</u><u>.</u>
Answer:
The equation of the line is,

Step-by-step explanation:
First, you have to write it in a form of y = mx + b :




When both lines are parallel to each other, they will have to same gradient value. So the equation of the line is y = (-2/5)x + b. Next, you have to find the value of b by substutituting (-10,3) into the equation :





