Part 1: Similarities of sine and cosine graphs are that both has an amplitude of 1 and a period of 2pi.
A differences between sin and cos graphs includes that sin graph passes through point (0, 0).
The required cosine graph is <span>f(x) = 3 cos(4x - 3π/2) + 4</span>
Answer:
If it says (10a + 4): 40a + 16
If it says (10a - 4): 40a - 16
Step-by-step explanation:
If it's an equilateral quadrilateral, that means all sides are equal. So you would multiply the given side by the number of sides. Then simplify you equation.
I can't read it if it says (10a + 4) or (10a - 4) so i'll just do both and you can use which one it says.
If it says (10a + 4):
4(10a + 4)
40a + 16
If it says (10a - 4)
4(10a - 4)
40a - 16
Answer:
Step-by-step explanation:
Expanding brackets.
Adding 2m and 6 to both sides.
Combining like terms.
Dividing both sides by 14.
9514 1404 393
Answer:
a) V = 4w²h
b) SA = 4w² +10wh
c) SA = 4w² +37.5/w
d) C = 40w² +225/w
Step-by-step explanation:
The relevant formulas are ...
V = LWH
base area = LW
lateral area = H(2(L+W))
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a) The length is 4 times the width, so the volume is ...
V = (4w)(w)(h)
V = 4w²h
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b) The total surface area is the sum of the base area and the lateral area:
SA = base area + lateral area
SA = (4w)(w) + 2h(4w +w)
SA = 4w² +10wh
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c) The volume is 15 m³, so the height in meters in terms of the width in meters is ...
15 = 4w²h
h = 15/(4w²)
Then the surface area is ...
SA = 4w² +10w(15/(4w²))
SA = 4w² +37.5/w
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d) The equation we have for surface area has one term for base area and a second term for lateral area. We can apply the cost factors to those terms to get the cost of materials:
C = 10(4w²) +6(37.5/w)
C = 40w² +225/w
GIVEN
1) Females outnumber males by 3 to 2.
2) There are 1770 people in the city.
SOLUTION
Let the number of males be x and the number of females y. Therefore, the total number of people can be written to be:
If there are 3 females for every 2 males, we have that:
We can substitute equation (2) into equation (1) and solve for y:
Dividing both sides by 5, we have
There are 1062 females in the county.
