(2,2)
Step-by-step explanation:
You have to add them together and minus the negatives
The most cost effective company will be:
$75.00
25 hours
<span>
Painting USA: Fixed Cost: $75; Variable Cost: $25x
Total Cost = 75 + 25(25) = 75 + 625 = 700
Upscale Home Painting: Fixed Cost: $0; Variable Cost: $40x
Total Cost = 40(25) = 1,000
The most cost effective company will be Painting USA whose charges will amount to $700
The cost of painting the house will be the same for both companies if the number of hours required to paint Paul's house is:
Painting USA:
Total Cost: 75 + 25(25) = 75 + 625 = 700
Upscale Home Painting
Total Cost: 40(16.5) = 40 + 660 = 700
The cost of painting the house will be the same for both companies if the number of hours required to paint Paul's house is approximately between 16.5 and 25 hours.
</span>
Answer:
b = 35.00
Step-by-step explanation:
To make use of the Law of Sines, you need to know angle B. Of course, its value will make the sum of all angles be 180°, so it is ...
B = 180° -34.5° -29.8° = 115.7°
Then the law of sines tells you ...
b = sin(B)·a/sin(A) = 22·sin(115.7°)/sin(34.5°)
b = 35.00
Answer:
C. ∆LMN ~ ∆OPQ, because of AA
Step-by-step explanation:
All of the triangle congruence postulates require at least one pair of corresponding sides be congruent (in addition to other requirements). Triangle similarity can be proved if there are two pairs of congruent corresponding angles.
__
<h3>congruence</h3>
No sides are given as congruent, so no congruences can be proved.
<h3>similarity</h3>
Two pairs of corresponding angles are said to be congruent, so we can say ...
∆LMN ~ ∆OPQ, because of AA
Answer:
so just successive powers of 2
Step-by-step explanation:
1, 3, 7, 15, 31, 63, _? Add successive powers of 2 to the number: 1+2=3; 3+4=7; 7+8=15; 15+16=31; 31+32=63; 63+64=127.
