Answer:
The store marks up the fountain by adding $ 36.58 to its original cost, bringing its retail price to $ 402.42.
Step-by-step explanation:
Given that a store pays $ 365.84 for a fountain, and then the store marks up the price by 10%, to determine the amount of the mark-up the following calculation must be performed:
365.84 x 10/100 = X
3,658.4 / 100 = X
36,584 = X
36.584 + 365.84 = 402.424
Thus, the store marks up the fountain by adding $ 36.58 to its original cost, bringing its retail price to $ 402.42.
1. Given any triangle ABC with sides BC=a, AC=b and AB=c, the following are true :
i) the larger the angle, the larger the side in front of it, and the other way around as well. (Sine Law) Let a=20 in, then the largest angle is angle A.
ii) Given the measures of the sides of a triangle. Then the cosines of any of the angles can be found by the following formula:
a^{2}=b ^{2}+c ^{2}-2bc(cosA)
2.
20^{2}=9 ^{2}+13 ^{2}-2*9*13(cosA) 400=81+169-234(cosA) 150=-234(cosA) cosA=150/-234= -0.641
3. m(A) = Arccos(-0.641)≈130°,
4. Remark: We calculate Arccos with a scientific calculator or computer software unless it is one of the well known values, ex Arccos(0.5)=60°, Arccos(-0.5)=120° etc
Answer:
do distributive property on both, so multiply 6•x and 6•-4. then multiply 7•x and 7•3.
so it'll basically be 6x - 24 = 7x + 21.
then add 24 to both sides so: 6x - 24 + 24 = 7x + 21 + 24. since -24+24=0 it'll be 6x = 7x + 21 + 24.
then add 21 + 24 and that will be 45.
so 6x = 7x + 45
then subtract 7x from both sides 6x - 7x = 7x + 45 - 7x
that'll be -x = 7x + 45 - 7x
combine like terms (7x - 7x) = 0
so -x = 45
and since x can't be negative, do the opposite signs
so instead of -x = 45, make it x = -45
Hope it helped! (sorry that's its very long just wanted to show u the steps just in case)
Answer:
63
Step-by-step explanation:
You would add 41 + 18 + 4, which obviously gets you 63. Hope this helped!
