Answer:
sin x = -0.8
x = -53.13010235 (used inverse of sin)
tan 2x
tan -106.2602047
= 0.61854704132
Let
x--------> the time in hours
y-------> the distance in miles
we know that
The speed is equal to
in this problem
<u>Equation First Train</u>
<u>Equation Second Train</u>
---------> equation 
Substitute the values of 
and 
in the equation
Solve for x
therefore
<u>the answer is</u>
Hey!
Let p = cost of a pen
<span>Let n = cost of a notebook </span>
<span>The info in the question leads to two equations: </span>
<span>1) 2p + 3n = 5.55 </span>
<span>2) p + 2n = 3.50 </span>
<span>Multiply equation 2) by 2 to get the new system of equations </span>
<span>1a) 2p + 3n = 5.55 </span>
<span>2a) 2p + 4n = 7.00 </span>
<span>Subtract equation 1a) from equation 2a) to get </span>
<span>n = 1.45 ...................... that's the cost of one notebook </span>
<span>~~~~~~~~ </span>
<span>To check, you could go on to figure out p, which turns out to be 0.60 . Put in those values of n and p into the original equations to verify.</span>
Hope this helps! ~Nadia~
Answer: C.
Step-by-step explanation:
An isosceles triangle is a type of triangle that has two identical sides and angle measures. Knowing that the two sides creating the 44 degree angle are equal, you can also know that both remaining angles are equal.
All three angles in a triangle must add to 180, so you can solve for f through this equation:
2f + 44 = 180
2f = 136
f = 68
Answer:
(5, - 6 )
Step-by-step explanation:
Given the 2 equations
- 8x - 10y = 20 → (1)
- 8x - 6y = - 4 → (2)
Multiply (2) by - 1
8x + 6y = 4 → (3)
Add (1) and (3) term by term to eliminate the x- term, that is
- 4y = 24 ( divide both sides by - 4 )
y = - 6
Substitute y = - 6 into either of the 2 equations and solve for x
Substituting into (1)
- 8x - 10(- 6) = 20
- 8x + 60 = 20 ( subtract 60 from both sides )
- 8x = - 40 ( divide both sides by - 8 )
x = 5
solution is (5, - 6 )
