Answer:
0.375
Step-by-step explanation:
Just divide 3 over 8.
Answer:
(-2, -3)
(3, 12)
Step-by-step explanation:
To solve this, we're gonna get rid of the y's with substitution
x² + 2x - 3 = 3x + 3
Let's make this equation equal to zero
Subtract 3 from both sides
x² + 2x - 3 = 3x + 3
- 3 - 3
x² + 2x - 6 = 3x
Subtract 3x from both sides
x² + 2x - 6 = 3x
- 3x - 3x
x² - x - 6 = 0
Factor the equation
(x - 3)(x + 2) = 0
This means x can be -2 or 3
Let's solve it with -2 first, plug the new x in y = 3x + 3
y = 3(-2) + 3
y = -6 + 3 = -3
Do the same for x = 3
y = 3(3) + 3
y = 9 + 3 = 12
24/1 divided by 3/8 would be 64. That can be found by finding the reciprocal (inverse) of the second fraction, multiplying the numerators and denominators to get 192/3. Then to simplify, you can divide both numerator and denominator by 3 to get 64/1 or 64. Hope that helps!
Answer:
2000 swiss francs equals 3920 Dutch Guilders!
Step-by-step explanation:
One Swiss Franc equals 1.96 Dutch Guilders. Having said this, we can come up with the following equation:
D = 1.96S
Where 'S' represents the swiss francs and 'D' the Dutch Guilders. Now, to convert 2000 Swiss francs, we just need to plug the value into the equation:
D = 1.96(2000) = 3920
So, 2000 swiss francs equals 3920 Dutch Guilders!
Answer:
23.6 ft
Step-by-step explanation:
Sketch a right triangle representing this situation. The length of the hypotenuse is 26 ft and the angle of elevation from ground to top of ladder is 65°. The "opposite side" is the reach of the ladder, which we'll call x.
Then:
opp
- sin 65° = ----------
- 26 ft
or (26 ft)(sin 65°) = opp side = height off the ground of top of ladder.
Evaluating this, we get:
(26 ft)(0.906) = 23.56 ft, or, rounded off, 23.6 ft
The ladder reaches 23.6 ft up the side of the building.
