Answer: Circle.
Depending on the angle and the place of intersection, when a plane intersects a cube, the sections created may be a square, a pentagon, a trapezoid, a triangle or a rectangle (even you can obtain an octagon), but you will never get a circle.
Since the girl scout sold 5 more boxes on the second week, we have (x + 5) number of boxes sold for the second week. Now, for the third week, since it's double that of the second week, we have 2(x + 5). Thus, we have the following:
first week: x
second week: x + 5
third week: 2(x + 5)
Given that the total number of boxes sold for the three weeks is 431. We have
x + (x + 5) + 2(x + 5) = 431
x + x + 5 + 2x + 10 = 431
4x + 15 = 431
4x = 431 - 15
4x = 416
x = 104
We have now the value of x. Using this, we can find the values for the second and third week.
x + 5 = `104 + 5 = 109
2(x + 5) = 2(109) = 218
Answer:
first week: 104
second week: 109
third week: 218
Answer: she invested $2500 at the rate of 10%.
she invested $1500 at the rate of 6%.
Step-by-step explanation:
Lisa invests $x in bond A and $y in bond B.
Lisa invests $4,000 in two types of bonds, bond A and bond B. This means that
x + y = 4000
Bond A offers a 10% return, and bond B offers a 6% return. Therefore,
Interest on bond A is 0.1x
Interest on bond B is 0.06y
Her total return on the investment is $340. It means that
0.1x + 0.06y = 340
Therefore, The system of linear equations defining the situation is
x + y = 4000
0.1x + 0.06y = 340 - - - - - - - - - - -1
Substituting x = 4000 - y into equation 1, it becomes
0.1(4000 - y) + 0.06y = 340
400 - 0.1y + 0.06y = 340
- 0.1y + 0.06y = 340 - 400
- 0.04y = - 60
y = - 60/ - 0.04
y = 1500
x = 4000 - 1500
x = 2500
Answer:
A) 145.3 cm^2
Step-by-step explanation:
The formula for the area of a circle is A = π r^2
So to find the area we would plug the radius of 6.8 into the formula
Area = π (6.8)^2
Area = (3.14) (6.8)^2
Area = 145.27
Area = 145.3
The real answer is either A. Or from what I've been taught, Columbus thought that he could sail around the world to reach to India and did NOT know there were other lands. And he landed in America and he thought it was India.
