Answer:
169 m
Step-by-step explanation:
See the image below.
Line AB represents the monument and line BC its shadow
Line DB represents the man and Line BE it shadow.
The Sun’s rays are parallel, so AC||DE.
Then ∆ABC ~ ∆DBE
AB:BC::DB:BE
x/65.8 = 1.8/0.7 Multiply both sides by 65.8
x = 65.6 × 1.8/0.7
x = 65.6 × 2.571
x = 169 m
The height of the Washington monument is 169 m.
Answer:
y = 2x² - 10
Step-by-step explanation:
We must find a pattern in the numbers. Set out the numbers in a table (Columns 1 and 2 in the table).
<u>x</u> <u> y</u> <u>y/2</u> <u>y/2 + 5
</u>
2 -2 -1 4
3 8 4 9
4 22 11 16
5 40 20 25
It looks like all y-values are multiples of 2.
Let's divide them by 2 (Column 3).
The numbers don't increase evenly. We may have a quadratic function.
If we add 5 to each quotient, we get a set of values equal to x² (Column 4).
y/2 + 5 = x²
y + 10 = 2x²
y = 2x² - 10
The function is y = 2x² - 10.
Answer:
V = πr²h
S=2πrh
h= 2/3 millimeters
new height= 8/3 millimeters
S= 8π millimeters square
New surface area = 32π millimeters square
Step-by-step explanation:
The volume of the cylinder is given by V = πr²h where r is the radius and h is the height.
The surface area of the cylinder is given by S= 2πrh + 2πr²
Where πr² gives the area of the base and 2πr² gives the area of the top and bottom surfaces. The surface area S of a cylinder, not including the top and bottom of the cylinder, is therefore S=2πrh.
V = πr²h
96π= π (6*6) (h+2)
96 = 36 (h+2)
96/36= h+2
h= 96/36-2
h= 96-72/36
h= 24/36
h= 4/6
h= 2/3 millimeters
New height
h + 2= 2/3 + 2
= 2+6/3= 8/3 millimeters
Now S =2πrh
S = 2π(6) (2/3)
S= 8π millimeters square
New Surface area
S = 2π(6) (8/3)
S= 32π millimeters square
