The length of q, to the nearest 10th of a centimeter is 7.6 cm.
Given in question,
In ΔOPQ,
o = 9.2 cm
p = 2.4 cm
∠Q = 37°
Cosine formula ⇒ cos θ = ![\frac{o^{2}+p^{2}-q^{2} }{2op}](https://tex.z-dn.net/?f=%5Cfrac%7Bo%5E%7B2%7D%2Bp%5E%7B2%7D-q%5E%7B2%7D%20%20%7D%7B2op%7D)
Putting the values in equation,
cos 37 = ![\frac{(9.2)^{2}+(2.4)^{2}-q^{2} }{2*9.2*2.4}](https://tex.z-dn.net/?f=%5Cfrac%7B%289.2%29%5E%7B2%7D%2B%282.4%29%5E%7B2%7D-q%5E%7B2%7D%20%20%7D%7B2%2A9.2%2A2.4%7D)
0.799 = ![\frac{84.64 + 5.76-q^{2} }{44.16}](https://tex.z-dn.net/?f=%5Cfrac%7B84.64%20%2B%205.76-q%5E%7B2%7D%20%7D%7B44.16%7D)
0.799*44.16 = 90.4 - ![q^{2}](https://tex.z-dn.net/?f=q%5E%7B2%7D)
32.28 = 90.4 - ![q^{2}](https://tex.z-dn.net/?f=q%5E%7B2%7D)
= 90.4 - 32.28
= 58.12
![q = \sqrt{58.12}](https://tex.z-dn.net/?f=q%20%3D%20%5Csqrt%7B58.12%7D)
![q = 7.63](https://tex.z-dn.net/?f=q%20%3D%207.63)
q = 7.6 cm (to nearest 10th)
Hence, length of q is 7.6 cm.
Learn more about length on:
brainly.com/question/8552546
#SPJ1
I believe the correct answer from the choices listed above is option A. THe correct classification of the polygon in the figure would be a concave hexagon. Counting the number of sides, we have 6 sides making it a hexagon. It is concave since one side is <span>hollowed inward.</span>
Using the formula for simple interest, it is found that he paid $119.87 in interest.
The<u> simple interest formula</u> is given by:
- E is the amount of interest earned.
- P is the principal(the amount of money invested).
- I is the interest rate(yearly, as a decimal).
- t is the time, in years.
In this problem:
- Borrowed $2,700, thus
![P = 2700](https://tex.z-dn.net/?f=P%20%3D%202700)
- Interest rate of 3.5%, thus
![I = 0.035](https://tex.z-dn.net/?f=I%20%3D%200.035)
- From December 26, 2019 to February 21, 2021, there were 423 days, thus the time in years is
![t = \frac{423}{365} = 1.2685](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B423%7D%7B365%7D%20%3D%201.2685)
Thus, the interest paid was of:
![E = PIt = 2700(0.035)(1.2685) = 119.87](https://tex.z-dn.net/?f=E%20%3D%20PIt%20%3D%202700%280.035%29%281.2685%29%20%3D%20119.87)
$119.87.
A similar problem is given at brainly.com/question/9593067
Answer:
15cm^2
Step-by-step explanation:
area of rectangle
area = length x width
5cm x 3cm
15cm^2
Perpendicular
Bit confusing but that should be right