Answer:
Step-by-step explanation: 45% based on the way you state the question. 45% is a whole percent.
Answer:The graph below represents which system of inequalities? graph of two infinite lines that intersect at a point. One line is solid and goes through the points negative 3, 0, negative 4, negative 1 and is shaded in below the line. The other line is solid, and goes through the points 1, 1, 2, negative 1 and is shaded in below the line
Step-by-step explanation:y ≤ −2x + 3 y ≤ x + 3 y ≥ −2x + 3 y ≥ x + 3 y ≤ −3x + 2 y ≤ −x + 2 y > −2x + 3 y > x + 3
She started with x.
After 1 year, she had 1.025x.
She withdrew <span>£1000, so now she has 1.025x - 1000.
Then it earned interest for 1 year and ended up as </span>1.025(1.025x - 1000).
The actual amount of money was £23 517.60.
Therefore,
<span>1.025(1.025x - 1000) = 23517.60
1.025x - 1000 = 22 944
1.025x = 23 944
x = 23 360
Her original deposit was </span><span>£23 360</span>
The formula for the area of a sector in radians is
, where theta is the angle in radians. For us, the formula looks like this:
. Doing all the multiplication on that gives us
. Multiplying in pi and rounding to the nearest tenth gives us an area of 76.3 meters squared. You can use the formula for the area of a sector with the angle in degrees as well. Just replace the 360 degrees with 2pi and it works the exact same way.
Question 5:
the circumference is given by:
C = 2 * pi * r
Where,
r: radio of the ball
Substituting values we have:
22 = 2 * pi * r
Clearing r we have:
r = 11 / pi
The surface area is given by:
A = 4 * pi * r ^ 2
Substituting values we have:
A = 4 * 3.14 * (11 / 3.14) ^ 2
A = 154 in ^ 2
Answer:
The surface area of the balloon is:
A = 154 in ^ 2
Question 8:
For this case we have that the scale factor is given by:
V1 = (k ^ 3) * V2
Substituting values we have:
729 = (k ^ 3) * 2744
Clearing k:
k = (729/2744) ^ (1/3)
k = 9/14
Answer:
the scale factor of a cube with volume 729 m ^ 3 to a cube with volume 2,744 m ^ 3 is:
9:14
Question 2:
The volume of the cylinder is given by:
V = pi * r ^ 2 * h
Where,
r : radio
h: height
Substituting values:
V = pi * (2.8) ^ 2 * (13)
V = 101.92 * pi
Answer:
The volume of the cylinder is:
V = 101.92 * pi
option 3