Answer:
y = x
Step-by-step explanation:
Since the quantities form a proportional relationship then the equation relating them is
y = kx ← k is the constant of proportion
The constant k is found using any ordered pair from the graph
Using (4, 4 ) , then
4 = 4k ( divide both sides by 4 )
1 = k
y = x ← equation of proportion
Answer:
3 cans of white paint
Step-by-step explanation:
.25white xwhite
_______=_______
.50blue 6blue
cross multiply .50x =1.5
divide by .50
and x = 3
Answer:
28cm
Step-by-step explanation:
Hi!
Let's find the area of the rectangle (we can form) and then tack on the area of the triangles.
We have 4 * 3 = 12. So the first area is 12.
Now, the triangles. We see that they will have base 4, and leg 2.
Using the Pythagorean Theorem:
4² + 2² = 20. √20 = 2√5. That won't really matter however, because we will multiply 4 by 2 to find the area.
4 * 2 = 8
The same will happen on the other side:
4 * 2 = 8 (note that we could've created a rectangle out of the triangles, but that would give us 16 too.)
8 + 8 = 16.
16 + 12 = 28
Thus, the area is 28 cm.
Hope this helps!
Answer:
2
Step-by-step explanation:
Step 1. <em>Find a coterminal angle that falls be 0 and 2π.
</em>
Remember that cscθ is a periodic function. It repeats every 2π radians.
If n is an integer, cscθ = csc(θ ± 2πn)
csc(17π/6) = csc(12π/6 + 5π/6)
= csc(2π + 5π/6)
= csc(5π/6)
Step 2. <em>Use the unit circle to evaluate cscθ.
</em>
cscθ = 1/sinθ
Let θ = 5π/6
In a unit circle (below), the sine of an angle is y.
sinθ = ½
cscθ = 1/sinθ
= 1/(½)
= 2
