<span>1) The problem says that the quilt squares are cut on the diagonal to form triangular quilt pieces. Then, the triangle pieces have angles of 45°, and the legs have the same lenght. So, you can solve the exercise by applying </span><span>the Pythagorean Theorem:
</span>
h²:s²+s²
h²=2s²
h²/2=s²
s=√(h²/2)
"h" is the hypotenuse (h=10 inches) and "s" is the length of the sides.
When you substitute the value of the hypotenuse into the formula s=√(h²/2), you obtain the sides length:
s=√(h²/2)
s=√(10²/2)
s=5√2
What is the side length of each piece?
The answer is: 5√2
2)Tan(α)=Opposite/Adjacent
α=30°
Opposite=17
Adjacent=x
When you substitute these values into Tan(α)=Opposite/Adjacent, you obtain:
Tan(α)=Opposite/Adjacent
Tan(30°)=17/x
x=17/Tan(30°)
x=17√3
Sin(α)=Opposite/Hypotenuse
α=30°
Opposite=17
Hypotenuse=y
Then, you have:
Sin(30°)=17/y
ySin(30°)=17
y=17/Sin(30°)
y=34
Un significant figured Volume=1099.56
3 sf = 1100.00
Answer:
Step-by-step explanation:
∫41 xh''(x)dx=41[x∫h''(x)dx-∫{1∫h''(x)dx}dx]+c
Answer:
C. 3x + 30
Step-by-step explanation:
Distribute:
=(5)(2x) + (5)(6) + −7x
=10x + 30 + −7x
Combine Like Terms:
=10x + 30 + −7x
=(10x + −7x) + (30)
=3x + 30
