Answer:
s = -7.8
Step-by-step explanation:
from the question 12=10(s+4)+50
<u>first step</u>
open the bracket and evaluate for the value of s
12=10(s+4)+50
12 = 10s + 40 + 50
12 = 10s + 90
collect or combine the like terms
12-90 = 10s
-78 = 10s
divide both side by 10
-78/10 = 10s/10
-7.8 = s
therefor s = -7.8
Answer:
10 feet
Step-by-step explanation:
This image forms a special right triangle: 3-4-5. This represents the ratios of the sides.
Multiplying 3-4-5 by 2, you get 6-8-10. 10 is the hypotenuse (the answer you want) and the only number not listed in the problem.
Given:
$90 good for 3 pax for 1 week.
a) $90 / 3 = $30 cost to feed each person in a week
b) $30 cost to feed each person * 5 persons = $150
c) $30 cost to feed each person * 6 persons in a family = $180
The formula derived from the above facts is:
Total cost = cost per person * no. of person * no. of weeks.
Assuming = 6 persons for 2 weeks
Total cost = 30 x 6 x 2
Total cost = 180 x 2
Total cost = 360 cost to feed a family of 6 in 2 weeks.
Answer:
1 + cosa sina
Step-by-step explanation:

cos³a - sin³a ← is a difference of cubes and factors in general as
a³ - b³ = (a - b)(a² + ab + b²) , then
cos³a - sin³a
= (cosa - sina )(cos²a + cosa sina + sin²a)
= (cosa - sina)(1 + cosa sina) [ sin²a + cos²a = 1 ]
Then

=
← cancel (cosa - sina) on numerator/ denominator
= 1 + cosa sina