Answer:
Step-by-step explanation:
Picture 1
In right triangle ABC,
Side AB is the opposite side of angle C.
Picture 2
In triangle MKL,
tan(∠M) = ![\frac{\text{Opposite side}}{\text{Adjacent side}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BOpposite%20side%7D%7D%7B%5Ctext%7BAdjacent%20side%7D%7D)
= ![\frac{KL}{KM}](https://tex.z-dn.net/?f=%5Cfrac%7BKL%7D%7BKM%7D)
= ![\frac{15}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B8%7D)
Option (1) is the answer.
Picture 3
In ΔXYZ,
sin(∠Z) = ![\frac{\text{Opposite side}}{\text{Hypotenuse}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BOpposite%20side%7D%7D%7B%5Ctext%7BHypotenuse%7D%7D)
= ![\frac{XY}{XZ}](https://tex.z-dn.net/?f=%5Cfrac%7BXY%7D%7BXZ%7D)
For the length of XY we will apply Pythagoras theorem in ΔXYZ,
XZ² = XY² + YZ²
XY² = XZ² - YZ²
= (40)² - (32)²
XY = √576
= 24
sin(Z) =
sin(Z) =
Picture 4
In right triangle DEF,
Cos(D) = ![\frac{\text{Adjacent side}}{\text{Hypotenuse}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BAdjacent%20side%7D%7D%7B%5Ctext%7BHypotenuse%7D%7D)
= ![\frac{EF}{DF}](https://tex.z-dn.net/?f=%5Cfrac%7BEF%7D%7BDF%7D)
= ![\frac{75}{72}](https://tex.z-dn.net/?f=%5Cfrac%7B75%7D%7B72%7D)
= ![\frac{25}{24}](https://tex.z-dn.net/?f=%5Cfrac%7B25%7D%7B24%7D)
Picture 5
In ΔABC,
tan(63°) = ![\frac{\text{Opposite side}}{\text{Adjacent side}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BOpposite%20side%7D%7D%7B%5Ctext%7BAdjacent%20side%7D%7D)
tan(63°) = ![\frac{BC}{AB}](https://tex.z-dn.net/?f=%5Cfrac%7BBC%7D%7BAB%7D)
AB = ![\frac{BC}{\text{tan}(63)}](https://tex.z-dn.net/?f=%5Cfrac%7BBC%7D%7B%5Ctext%7Btan%7D%2863%29%7D)
AB = ![\frac{8}{\text{tan}(63)}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B%5Ctext%7Btan%7D%2863%29%7D)
AB = 4.0762 ≈ 4 m
Option (3) will be the answer.
Answer:
(-21,-9)
Step-by-step explanation:
let other point be x2,y2
then apply mid point formula
x=(x1+x2)/2
y=(y1+y2)/2
Answer:
b. 1:3
Step-by-step explanation:
To find the hypotenuse of the first triangle, use a^2 + b^2 = c^2
c = sqrt (5^2 + 12^2)
c = 13
From here, since they are similar, you can set up a proportion
13:39
1:3
<h3>
Answer: y = 10</h3>
=====================================
Work Shown:
EI = EG
3y-10 = 2y
3y-10-2y = 0
y-10 = 0
y = 0+10
y = 10
Note how if y = 10, then
- EI = 3y-10 = 3*10-10 = 20
- EG = 2y = 2*10 = 20
Both EI and EG are 20 units long when y = 10. This confirms the answer.
Answer:
0.5 is part of the confidence interval, and thus, it is reasonable to believe more than half of food delivery drivers eat some of the food they are delivering.
Step-by-step explanation:
95% confidence interval for the true proportion of food delivery drivers who eat some of the food they are delivering is (0.398, 0.706).
This means that we are 95% sure that the true proportion of food delivery drivers who eat some of the food they are delivering is (0.398, 0.706).
Is it reasonable to believe more than half of food delivery drivers eat some of the food they are delivering?
0.5 is part of the confidence interval, and thus, it is reasonable to believe more than half of food delivery drivers eat some of the food they are delivering.