Answer:
x = 14
Step-by-step explanation.
First I would use sine to find x's value. So ----> sin(30) = 7/x ----> x sin(30) = 7 ----> x = 7/sin(30) = 14.
You Can also find that x is equal to 14 by applying the 30, 60, 90, triangle rule. Becuase '7' opposes the 30 degree angle it is 1/2 the hypotenuse, if thats the case just multiply the 7 by 2 and you have the hypotenuse length.
First month's profit of the company = $2,400.
After the first month, the profit is modeled by the function
J(t) = 2.5t + 1,250, t is the number of months after the first month the shop opened.
Now, P(t) describes the total profit earned by the company.
So, P(t) = (Profit earned from first month) + (Profit earned from remaining 11 months of the year)
= 2400 + (2.5t + 1250)
<u><em>= 2.5t + 3650</em></u>
Hence, total profit earned for the year = 2.5t + 3650.
9514 1404 393
Answer:
5/8
Step-by-step explanation:
The area of the smaller circles is proportional to the square of the ratio of their diameters. The two smallest circles have diameters equal to 1/4 the diameter of the largest circle. Hence their areas are (1/4)^2 = 1/16 of that of the largest circle.
Similarly, the medium circle has a diameter half that of the largest circle, so its area is (1/2)^2 = 1/4 of the are of the largest circle.
The smaller circles subtract 2×1/16 +1/4 = 3/8 of the area of the largest circle. Then the shading is 1-3/8 = 5/8 of the area of the largest circle.
Answer:
Step-by-step explanation:
SV = RV
2x+2 = 10
x = 4
r² = RV² + VZ² = 10²+7.5² = 156.25
UZ = √[r²- (QR/2)²] = √[156.25 - 10²] = √56.25 = 7.5
4/6 = 0,66
So, Tim can mow 0,66 lawns in 1 hours.
Control:
0,66 lawns x 6 hours = 4 lawns
