Answer:
12 minutes
Step-by-step explanation:
4 minutes= 7 kilometers
=> 4*3 minutes= 7*3 kilometers
=12minutes=21km
Take the derivatives of each to get the tangent vectors:
Take the cross product of the tangent vectors to get a vector that is normal to both lines:
The two given lines intersect when :
that is, at the point (6, 4, 4).
The line perpendicular to both of the given lines through the origin is obtained by scaling the normal vector found earlier by ; translate this line by adding the vector to get the line we want,
Answer:
C) 846 in^2
Step-by-step explanation:
(15x48) + (21x3x2) = 846
Based on the given parameters, the length of c is 8.0 units
<h3>How to determine the side length of c?</h3>
The given parameters are
Angle c = 76 degrees
Side a = 20
Side b = 13
The length of c is then calculated using the following law of sines
c^2 = a^2 + b^2 - 2absin(C)
Substitute the known values in the above equation
So, we have
c^2 = 20^2 + 13^2 - 2 * 20 * 13 * sin(76)
Express 20^2 as 400
c^2 = 400 + 13^2 - 2 * 20 * 13 * sin(76)
Express 13^2 as 169
c^2 = 400 + 169 - 2 * 20 * 13 * sin(76)
Evaluate the product and sin(76)
c^2 = 400 + 169 - 520 * 0.9703
Evaluate the product
c^2 = 400 + 169 - 504.55
Evaluate the exponents
c^2 = 400 + 169 - 504.55
So, we have
c^2 = 64.45
Evaluate the square root
c = 8.0
Hence, the length of c is 8.0 units
Read more about law of sines at:
brainly.com/question/16955971
#SPJ1
Answer:
m∠A=42
Step-by-step explanation:
Since they are complementary they must add up to 90°.
(2x+30)+(6x+12)=90
We can just remove parenthesis since you can't really do anything with them.
2x+30+6x+12=90
Combine like terms.
8x<u>+42</u>=90
Do inverse to find the value of x.
<u>8x</u>=48
x=6
Now since we are looking for the m∠A and not x we need to replace the x with the value of x in the ∠A equation.
(<u>2(6)</u>+30)
(<u>12+30</u>)
m∠A=42