Answer:
Below in bold.
Step-by-step explanation:
First find the height by use Pythagoras theorem on the right triangle:
h = sqrt (5^2 - 4^2)
= sqrt 9
= 3.
Volume of the prism = area of the triangle * length
= 1/2 * 3 * 4 * 10
= 1/2 * 12 * 10
= 60 cm^3.
Total area = area of 2 triangles + area 0f 3 rectangles
= 2 * 1/2 * 3 * 4 + 3 * 10 + 4 * 10 + 5 * 10
= 12 + 30 + 40 + 50
= 132 cm^2.
Answer:
24.75 percents
Step-by-step explanation:
<u>ANSWER:
</u>
The total cost of the skate board is $74.61.
<u>SOLUTION:
</u>
Given, Luis wants to buy a skateboard that usually sells for $79.99. all merchandise is discounted by 12%. luis has to pay a state sales tax of 6.75%.
We need to find what is the total cost of the skateboard.
Final cost is nothing but original amount subtracted by discount and added with tax.
final cost = original cost – discount + sales tax
Original cost = $79.99
Discount = 12% of original cost

discount is $9.6 approximately
Sales tax = 6% of cost after discounting

Sales tax is $4.22 approximately
Now, final cost = 79.99 – 9.6 + 4.22
= 84.21 - 9.6
= 74.61
Hence, the total cost of the skate board is $74.61
Arc length = radius * central angle (measured in radians)
There are
<span>
<span>
<span>
57.2957795131
</span>
</span>
</span>
degrees per radian so
45 degrees = (45 /
<span>
<span>
<span>
57.2957795131) = </span></span></span>
<span>
<span>
<span>
0.7853981634
</span>
</span>
</span>
radians<span><span>
</span>
</span>
radius = arc length / central angle (radians)
radius = 6.5 / <span>
<span>
0.7853981634
</span>
</span>
radians =
<span>
<span>
<span>
8.2760570408
</span>
</span>
</span>
cm
http://www.1728.org/radians.htm
Answer:
120-x
Step-by-step explanation:
If x is already less, then you don't need absolute value