Answer:
11.2 miles
Step-by-step explanation:
We can create a triangle from the information given.
<u>We can call the starting point (0,0) in the coordinate system.</u>
- <u>10 mi east</u> - 10 miles to the right. then,
- <u>5 mi north</u> - 5 miles above
<em><u>See the attached picture. The direct distance is labeled as x.</u></em>
Now we need to find x using pythagorean theorem.
Pythagorean Theorem = leg²+leg²=hypotenuse²
Solving for x:
<em>Rounding to nearest tenth, we have </em><em>11.2 miles</em>
Answer:
93
Step-by-step explanation:
Cone volume formula: V = πr²h/3
r = radius
h = height
The radius is half the diameter, so, we can divide.
2 / 2 = 1
Now, solve with the given values.
V = π(1)²(1)/3
V = π(1)(1/3)
V = 3.14(1/3)
V ≈ 1.05
Therefore, the volume is roughly 1.05m^3
Best of Luck!
The red vector has a magnitude of 22 and makes an angle of 39 degrees with the horizonal x-axis.
Converting to rectangular form: x = 22 cos 39 deg and y = 22 sin 39 deg
Answer:
x = 11
y = 17
Step-by-step explanation:
5y and (7y - 34) are vertical angles which means they're equal to each other:
5y = 7y - 34
5y - 7y = -34
-2y = -34
y = 17
(8x + 7) and (9x - 4) are also vertical angles:
8x + 7 = 9x - 4
8x - 9x = -4 - 7
-x = -11
x = 11
