Answer:
The value of x = 1
Step-by-step explanation:
2x+3 = 5
=> 2x = 5-3
=> 2x = 2
=> x = 2/2
=> x = 1
Sorry a bit messy, with a ratio of 2:5:1, that means 5 would be the longest and your longest piece is 125, diving 125 by 5 gets you 25 cm, this is also your shortest piece since 1x25=25
Answer:
Step-by-step explanation:
Use the half angle formulas
sin(θ/2) = ±√((1 - cosθ)/2)
sin(θ/2) = ±√((1 - (3/5))/2)
sin(θ/2) = ±√((2/5)/2)
sin(θ/2) = ±√(1/5)
knowing θ is in the 4th quadrant, θ/2 will be in the second quadrant where sines are positive.
sin(θ/2) = +√(1/5) = √0.2
Answer:
The best estimate of the area of the larger figure is 
Step-by-step explanation:
step 1
<em>Find the scale factor</em>
we know that
If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor
Let
z----> the scale factor
x-----> the corresponding side of the larger figure
y-----> the corresponding side of the smaller figure
so

we have


substitute
-----> the scale factor
step 2
<em>Find the area of the larger figure</em>
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z----> the scale factor
x-----> the area of the larger figure
y-----> the area of the smaller figure
so

we have


substitute and solve for x
