Imagine the shadow and the building height forms a right angle triangle;
We know the height and the shadow make up the "legs" of the triangle,
a²+b²=c²
(750)²+(111)²=c²
562500+12321=c²
574821=c²
c=√574821
c=758.169 ≈ 758.2 ft
Hope I helped :)
Answer:
16.65 cups
Step-by-step explanation:
Step one:
height =12 cm, and
the base has a radius =5.5 cm
Volume of the cup = πr^2h
substitute we have
volume= 3.142*5.5^2*12
volume= 3.142*30.25*12
volume=1140.546cm^3
Step two:
volume of cooler= 18,997 cm^3
hence the number of cups to fill it is
=18,997/1140.546
=16.65 cups
Answer: A. y ≤ 4 and y > |x-1|
Step-by-step explanation:
y ≤ 4 is a horizontal line that is represented by a less than or equal to sign, so we know that the line has to be solid and not dotted, indicating that it includes the value of which the line passes through. Also, since it's less than, we know that it will include all values below the horizontal line.
y > |x-1| is an absolute value function that's represented by a greater than symbol, so that means it has to be dotted since it does not include |x-1|. Since it's greater than, it's going to include all values above the points of the function.
When graphing these two functions, you will get the graph as shown in the picture.
Hope this helps you
1. Natasha invests £250 in a building society account. At the end of the year her account is
credited with 2% interest. How much interest had her £250 earned in the year?
Solution: Interest = 2% of £250
= 2/100 x £250
answer = £5
2. Alan invests £140 in an account that pays r% interest. After the first year he receives £4.20 interest. What is the value of r, the rate of interest?
r/100 x £140 = £4.20
r = 100 x 4.20 / 140
= 420/140
= 3%
So the interest rate is 3%
Answer:
x = 3
Step-by-step explanation:
given
4(x - 8) + 10 = - 10 ← subtract 10 from both sides
4(x - 8) = - 20 ← divide both sides by 4
x - 8 = - 5 ← add 8 to both sides
x = 3
