It looks like you are good up to problem 4 so I will start there. I believe this is practice worksheet featuring the pyth. theorem. The pyth. theorem is used to find the length of sides in a right triangle notable the hypotenuse (side opposite of 90 degree angle).
4. The monitor is a rectangle but that does not stop you from constructing a right triangle. The smaller lengths are 16 in and 12 in respectively. The hypotenuse of the triangle is the diagonal of the rectangle. To find the length use the pyth. theorem.
diagonal^2 = 16^2+12^2
diagonal = 20 in
7. You know the speeds of both trains and the time spend traveling. You know they are traveling at a 90 degree angle so you can use pyth. theorem. But wait... you need to find the distances traveled for both trains. You can find that though because speed x time = distance.
50mph x 3hrs = 150mi
40mph x 3hrs = 120mi
The distance between the trains after 3 hours is the hypotenuse which can be determined by pyth. theorem.
distance^2 = 150^2+120^2
distance = 192 mi approx.
8. First find length of one piece of wiring. Use pyth theorem. Actually 3,4,5 pyth. triplet in which 5 is the hypotenuse. So you have 5 ft for the length of one piece of wiring. How many pieces of wiring do you need? Well, each tree needs 3 pieces and there are 6 trees so you need 18 pieces.
18 x 5 = 90 ft of wiring
From the work I see, you have a great understanding of the pyth. theorem. Keep it up!
Answer:
a) 293 units
b) £57.95
Step-by-step explanation:
a)
New reading: 6538 units
Old reading
: 6245 units
The amount use is the difference between the two readings.
6538 - 6245 = 293
Answer: 293 units
b)
293 is the same as 200 units plus another 93 units.
The first 200 units are charged at 22p per unit
Cost of the first 200 units: 200 units * 22p/unit = 4400p
Remaining units are charged at 15p per unit
Cost of the additional 93 units: 93 units * 15p/unit = 1395p
Total charge: 4400p + 1395p = 5795p = £57.95
Answer: £57.95
First, find the equation of the lines:
y=-2x+2 and y=1/3x+2
We see that the shaded part is below the y=1/3x+2 graph, so it becomes y<1/3x+2 (It's not ≤ since it's a dotted line)
For the y=-2x+2, the shaded part is under the line as well, so it becomes y≤-2x+2 (Here, we include the ≤ since it's a solid line)
So your answer is y<1/3x+2 and y≤-2x+2.
Answer:
hi
Step-by-step explanation:
volume-4in×16in×12in=768
768÷2=384
hope it helps
have a nice day
She would have 480$. If you multiply 8 x 15 your will get 120. You than multiply 120 x 4.
