Answer:
BC = 19.78
Step-by-step explanation:
using sin(x) rule
sin(54)= 16/BC
sin(54)=0.80
∴0.80=16/BC (divied both side by 0.80)
BC=16/0.80 =19.78
Complete question :
Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of $65 along with an
hourly rate of $28. The plumber only charges for a whole number of hours. Anand would like to spend no more than $250, and he wonders how many hours of work he can afford.
Let H represent the whole number of hours that the plumber works.
1) Which inequality describes this scenario?
Choose 1 answer:
A. 28 + 65H < 250
B. 28 + 65H > 250
C. 65 + 28H < 250
D. 65 +28H > 250
2) What is the largest whole number of hours that Anand can afford?
Answer:
65 + 28H < 250
Number of hours Anand can afford = 6 hours
Step-by-step explanation:
Given the following information :
Initial hourly rate = $65
Hourly rate = $28
Number of hours worked (whole number) = H
Maximum budgeted amount to spend = $250
Therefore ;
(Initial charge + total charge in hours) should not be more than $250
$65 + ($28*H) < $250
65 + 28H < 250
Number of hours Anand can afford :
65 + 28H < 250
28H < 250 - 65
28H < 185
H < (185 / 28)
H < 6.61
Sinve H is a whole number, the number of hours he can afford is 6 hours
Answer:
∠ 1 = 130°, ∠ 2 = 50°
Step-by-step explanation:
∠ 1 and 130° are alternate angles and congruent, so
∠ 1 = 130°
∠ 2 and 130° are same- side interior angles and are supplementary, so
∠ 2 + 130° = 180° ( subtract 130° from both sides )
∠ 2 = 50°
Answer:
x = 2
Step-by-step explanation:
Divide both sides by 2: x + 3 = 10/2
x + 3 = 5
subtract 3 from both sides
x = 5 -3
x = 2