Answer:
9.21954446 (but round to what ever place is required)
Step-by-step explanation:
Use the Pythagorean theorem
a^2+b^2=c^2
6^2+7^2=c^2
36+49=c^2
85=c^2
c=9.21954446
round to what ever place you need
Answer:
18
Step-by-step explanation:
Answer:
x = 1, y = 2
Step-by-step explanation:
-5x + y = -3, we get y = 5x - 3.
Then plugs into the second equation, we get
-x - 5 (5x-3) = -11.
-x - 25x + 15 = -11,
-26x = -26
x = 1,
plugs x = 1 to y = 5x - 3, we get y = 2.
Answer:
<em>A) The reference angle should be </em><u><em>
,</em></u><em> and the sign of the value should be </em><u><em>negative.</em></u>
Step-by-step explanation:
cos(
)
Remove full rotations of 2π until the angle is between 0 and 2
.
cos(
)
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cosine is negative in the third quadrant.
-cos(
)
The exact value of cos(
) is
.
−
Answer: 24.99 ft
Step-by-step explanation:
1. You can find the angle A as following:
![A=arctan(\frac{5}{8})\\A=32\°](https://tex.z-dn.net/?f=A%3Darctan%28%5Cfrac%7B5%7D%7B8%7D%29%5C%5CA%3D32%5C%C2%B0)
2. Now, you can calculate the height of the tree as following:
![tan(A)=\frac{opposite}{adjacent}](https://tex.z-dn.net/?f=tan%28A%29%3D%5Cfrac%7Bopposite%7D%7Badjacent%7D)
Where:
A=32°
opposite=x
adjacent=40
3. When you substitute values and solve for x, you obtain that the height of the tree in feet is:
![tan(A)=\frac{x}{40}\\x=40*tan(32\°)\\x=24.99](https://tex.z-dn.net/?f=tan%28A%29%3D%5Cfrac%7Bx%7D%7B40%7D%5C%5Cx%3D40%2Atan%2832%5C%C2%B0%29%5C%5Cx%3D24.99)