Answer:No
Step-by-step explanation:
Answer:
x=1
Step-by-step explanation:
3/2+1/2x=2x
or,3*1+1*1x/2=2x
or,4x/2=2x
or,4x-2x=2
or,x=2/2
so,x=1
Answer:
The maximum amount of time that the ballroom can be rented is 3.4 h.
Step-by-step explanation:
In order to find the maximum amount of time the ballroom can be rented we can create an inequality in such a way that the cost must be less or equal to $80.58, which is the amount of money that is available. So we have:
c = 23.7*h
80.58 >= 23.7*h
23.7*h =< 80.58
h =< 80.58 / 23.7
h =< 3.4 h
The maximum amount of time that the ballroom can be rented is 3.4 h.
Answer:
1. ∠A = 71.9°
2. ∠B = 62.9°
3. ∠C = 27.5°
Step-by-step explanation:
By using a calculator, we have;
cos A = 0.31
sin B = 0.89
tan C = 0.52
1. Therefore, ∠A = cos⁻¹(0.31), inputting the digits in the calculator and looking for the inverse sign, we have;
∠A = cos⁻¹(0.31) = 71.94° = 71.9° to the nearest tenth of a degree.
2. For sin B = 0.89, we have;
∠B = sin⁻¹0.89 = 62.873° ≈ 62.9° with the answer rounded to the nearest tenth of a degree.
3. Similarly, for tan C = 0.52, inputting the values in the calculator and pressing the tan⁻¹ button, we have;
∠C = tan⁻¹(0.52) = 27.474°, which is 27.5° rounded to the nearest tenth of a degree.