Answer:
55*5=275
Step-by-step explanation:
Answer:
The linear equation is;
Y = 450 - 2·X
Please find the included graph
Step-by-step explanation:
Whereby we have the following relation;
The cost of 1 pizza = X
The cost of 1 burger = Y
Hence;
450 = Y + 2·X
Which gives;
Y = 450 - 2·X
The linear equation for the situation is therefore as presented above
The graph of the linear equation can be plotted using the assumed data as follows;
Y, X
1, 448
2, 446
3, 444
4, 442
5, 440
6, 438
7, 436
8, 434
9, 432
10, 430
11, 428
12, 426
13, 424
14, 422
15, 420
16, 418
Answer:
18.87 square cm.
Step-by-step explanation:
The area of the rectangle will be (4 + 4) * 4, since the length of the rectangle would be the diameter of the circle, and the width of the rectangle would be the radius. (4 + 4) * 4 = 8 * 4 = 32 square cm.
Then, we can calculate the area of the semicircle. The area of a circle is pi * r^2, so the area of a semicircle will be half of that. pi * (4^2) / 2 = pi * 16 / 2 = 8pi. 8 * 3.14159265 = 25.1327412 square cm.
The shaded area of the middle of the shape will then be 32 - 25.1327412 = 6.8672588 square cm.
The two triangles will have the same area. Their bases will be 14 minus the diameter of the circle, then divide that by 2 to get each separate base. 14 - 8 = 6 / 2 = 3. The heights of the triangles will be the radius of the circle, or 4 cm.
1/2 * 3 * 4 = 1/2 * 12 = 12/2 = 6. That is the area of one triangle, so the area of both triangles would be 6 * 2 = 12 square cm.
6.8672588 + 12 = 18.8672588, or 18.87 square cm.
Hope this helps!
Answer:
0.408 hour / device
Step-by-step explanation:
As we know The army contract was for 4,707 devices that were produced by 16 workers which means 1 worker can produce:
≈294 devices in 3 weeks.
<=> 294 devices= 3*40 hours
<=> 294 devices = 120 hours
<=> 1 device = 120/294 = 20/49 ≈ 0.408 hour
So it takes 0.408 hour for a worker to finish producing 1 devicein the army contract
Answer:
The sides are as follows: 
Step-by-step explanation:
Starting with the side y, we can use the tan to solve for y:

The side x can be determined using sin:

So, the sides as as follows: 
(you can also verify this result is correct using the Pythagorean theorem)