<h3>
Answer: 168 square feet</h3>
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Explanation:
The front triangular face is a triangle with base 8 and height 6. Its area is
A = 0.5*base*height
A = 0.5*8*6
A = 24 square feet
The back triangular face is also 24 square feet since these are the base faces of the prism. The base faces are always congruent. It might help to imagine this figure is turned on its side.
The slanted lateral face is a rectangle of length 10 ft and width 5 ft, so its area is L*W = 10*5 = 50 square feet
The rectangular face on the left is 6 ft by 5 ft giving an area of 6*5 = 30 square feet.
Lastly, the bottom rectangular face is 8 ft by 5 ft giving an area 8*5 = 40 square feet
Overall, the total surface area is: 24+24+50+30+40 = 168 square feet
We just add up all the individual areas of each face to get the total surface area.
Part (a)
Replace every 'a' with 5.2 and replace every 'b' with 4.7
Then use your calculator to evaluate.
3a + b^3 = 3*5.2 + (4.7)^3 = 119.423
<h3>Answer: 119.423</h3>
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Part (b)
The true value is 119.423 which is the result of part (a)
The estimated value is 140
Subtract the two values
140-119.423 = 20.577
and divide that over the true value
20.577/140 = 0.14697857142858
Which, when rounded to 4 decimal places, we get 0.1470
Move the decimal place over to the right 2 spots to get 14.70%
<h3>Answer: 14.70% error (approximate)</h3>
First off, let's find the LCM of both 5 and 6 to easily compare.
LCM = 30
3/5 = 18/30
10/6 = 50/30
18
30
These ratios aren't proportional. Hope this helps!
Answer:
3???
Step-by-step explanation:
hope this helps
Answer:
140 degrees
Step-by-step explanation:
Due to ∠3 and ∠4 being vertical angles (they are across from one another) their measures are the same, therefore:
⇒ m∠3=m∠4
and since their measures are given in terms of x to find x just substitute:
⇒ x+30=2x-80 ⇒ x=110
We substitute x in m∠3=x+30 and find that m∠3=140 degrees
