Answer:
270 first question's answer
Step-by-step explanation:
Solution at attachment box
Total surface area of cuboid is = 12x18x2 + 10x12x2 +18x10x2
=432+240+360
=1032
Surface of the 1 cube =2x2x2 = 8
Surface of the all cubes = 8x270 = 2160
Answer:
331
Step-by-step explanation:
Answer:
16. Angle C is approximately 13.0 degrees.
17. The length of segment BC is approximately 45.0.
18. Angle B is approximately 26.0 degrees.
15. The length of segment DF "e" is approximately 12.9.
Step-by-step explanation:
<h3>16</h3>
By the law of sine, the sine of interior angles of a triangle are proportional to the length of the side opposite to that angle.
For triangle ABC:
- ,
- The opposite side of angle A ,
- The angle C is to be found, and
- The length of the side opposite to angle C .
.
.
.
Note that the inverse sine function here is also known as arcsin.
<h3>17</h3>
By the law of cosine,
,
where
- , , and are the lengths of sides of triangle ABC, and
- is the cosine of angle C.
For triangle ABC:
- ,
- ,
- The length of (segment BC) is to be found, and
- The cosine of angle A is .
Therefore, replace C in the equation with A, and the law of cosine will become:
.
.
<h3>18</h3>
For triangle ABC:
- ,
- ,
- , and
- Angle B is to be found.
Start by finding the cosine of angle B. Apply the law of cosine.
.
.
.
<h3>15</h3>
For triangle DEF:
- The length of segment DF is to be found,
- The length of segment EF is 9,
- The sine of angle E is , and
- The sine of angle D is .
Apply the law of sine:
.
M: cost per hour
b: initial charge fee
x: hours (h)
To make both company to charge the same amount:
12x+376=15x+280
376-280=15x-12x
96=3x
X=32
So it took 32 hour to 2 company charge the same amount.
The cost gonna be: 12.(32)+376=760$