She has 45 pennies and 9 quarters
5:1
P:Q
0.01:0.15
0.05:0.15 0.1:0.3 0.15:0.45 0.2:0.6 0.25:0.75 0.3:0.9 0.35:1.05 0.4:1.2
0.45:1.35
This question has this set of answer choices:
a) when the plane cuts three faces of the cube, separating one corner from the others
b) when the plane passes through a pair of vertices that do not share a common face
c) when the plane is perpendicular to the base and intersects two adjacent vertical faces
d) when the plane makes an acute angle to the base and intersects three vertical faces
e) not enough information to answer the question
The right answer is the first choice: a) when the plane cuts three faces of the cube, separating one corner from the others
You can see a picture of this case in the figure attached: as you can see the cross section (in pink) is a triangle.
Switch y=2x+7 to 2x-y=-7 then multiply that equation by 2 to cancel out the y's. that ends up as 4x-2y=-14 which then you get x=-24. then you substitute x into one of the original equations y= 2(-24)+7 which equals y=-41
The number of pencils is directly proportional to the cost. ... Two values x and y are inversely proportional to each other when their product xy is a constant (always remains the same). This means that whenx increases y will decrease, and vice versa, by an amount such that xyremains the same.
We know that the pole is perpendicular to the ground
And that the length of the pole is 20 feet tall, and the base is 15 feet
Now, the guy wire is a wire that provides support to the pole by connecting the top of the pole to the ground
So this represents a right angled triangle (refer image), and the hypotenuse is the length of the guy wire
Using Pythagoras theorem, we can find out the length of the hypotenuse
⇒ Hypotenuse² = Perpendicular² + Base²
⇒ Hypotenuse² = 20² + 15²
⇒ Hypotenuse² = 400+225
⇒ Hypotenuse² = 625
⇒ Hypotenuse = √625
⇒ Hypotenuse = 25
Hence, the correct option is B 25 ft.