Complementary means the two angles add up to 90 degrees. Do 90 - 79 to find the other angle.
It's 11 degrees.
Answer:
There will be 4 blue marbles
Step-by-step explanation:
Yellow to blue marbles is in a ratio of:
5:10
the representative sample is:
2:x
simplee cross multiplication can be aplied
5x = 2*10
5x = 20
divide both sides by 5
x = 4
there should be four blue marbles
Answer:
50 degrees
Step-by-step explanation:
Okay! So first off, because this is NOT a right triangle, we can't use soh cah toa. That means we can either use the law of sines or the law of cosines.
Because we only have sides here and no angles, we are forced to use the law of cosines.
c^2 = a^2 + b^2 − 2ab cos(C)
c = 6
b = 7.5
a = 6.5
36 = 6.5^2 + 7.5^2 - 2(6.5)(7.5)cos(C)
36 = 98.5 - 97.5cos(C)
-62.5 = -97.5cos(C)
0.641 = cos(C)
angle C = cos^-1(0.641)
angle C = 50.13 which is around 50 degrees
Remember! A dumb thing i always used to do in geometry was use radians instead of degrees, be sure to use degrees here because you are looking for degrees. Radians are for things involving not degrees, but PI.
Answer:
b = +5
Step-by-step explanation:
8b^2=193+7
8b^2=200
b^2= 200/8
b^2=25
b=√25
b=+5
The solution to given system of equation is (x, y) = (0.8, 2.2)
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
y + x = 3 --------- eqn 1
y = 1.5x + 1 ---------- eqn 2
We have to solve the above system of equations by substitution method
<em><u>Substitute eqn 2 in eqn 1</u></em>
1.5x + 1 + x = 3
Combine the like terms
2.5x + 1 = 3
Move the constants to Right hand side of equation
2.5x = 3 - 1
2.5x = 2
x = 0.8
<em><u>Substitute x = 0.8 in eqn 2</u></em>
y = 1.5(0.8) + 1
y = 1.2 + 1
y = 2.2
Thus the solution to given system of equation is (x, y) = (0.8, 2.2)
