You can revise: the sum of the two adjacent angles is 180°
and the sum of the measurements of the three corners in a triangle is also 180°
<1= 180°-57°=123°
As <2=52°, so we have <3= 180°-(28°+71°+52°)= 180°-151°=29°
have fun
Answer:
512 in³
Step-by-step explanation:
The height perpendicular to the base is the leg of a right triangle with hypotenuse 10 in and other leg 8 in. Using the Pythagorean theorem, we can find it as ...
h² +8² = 10²
h² = 100 -64 . . . . . subtract 8²
h = 6 . . . . . . . . . . . . take the square root of 36
Then the volume is found using ...
V = (1/3)Bh = (1/3)(16 in)²(6 in) = 512 in³
The volume is 512 cubic inches.
_____
The 8-inch dimension used above comes from half the distance between the center of one side of the base to the center of the opposite side. (16 in)/2 = 8 in.
Nice computer my dear sir
Answer:
<em>The company needs to sell 40 desks to break even</em>
Step-by-step explanation:
<u>Application of Equations</u>
There is virtually no limit to the possible situations where equations can help to find the solution of specific problems related to areas like economy, where one could need to establish some important indicators about the business.
B. The fixed cost for Abstract Office Supplies to sell a new computer desk is $14,000. Each desk will cost $150 to produce. The cost function to produce X desks is
C(x)=150x+14,000
A. The revenue for each desk is estimated at $500, for X desks will be
R(x)=500x
C. The company will break even when the cost and the revenue are the same. We'll find how many desks need to be sold for that to happen. We equate
C(x)=R(x)
Or equivalently
150x+14,000=500x
Rearranging
500x-150x=14,000
350x=14,000
Solving for x
x=14,000/350= 40
The company needs to sell 40 desks to break even
Step-by-step explanation:
a rectangular prism (like this brick) has the same basic structure as a cube (like a die) : it has 6 sides.
while a die has 6 equal sides, a rectangular prism has 3 pairs of equal sides :
top and bottom
left and right
front and back
all we have to do is calculate the areas of the 6 rectangles and add them up. that's it.
your remember, the area of a rectangle is
length × width
in our case we have
top and bottom : 2.5×11.5 × 2 = 28.75×2 = 57.5 in²
left and right : 2.5×5 × 2 = 12.5×2 = 25 in²
front and back : 11.5×5 × 2 = 57.5×2 = 115 in²
so, the total surface area of the whole block is
57.5 + 25 + 115 = 197.5 in²