Simplify:
Solution ===> −7 + 12 − 3(50 − 4(2 + 3)) =========> -85
= 5 − 3(50 − 4(2 + 3))
= 5 − 3(50 − (4)(5))
= 5 − 3(50 − 20)
= 5 − (3)(30)
= 5 − 90
= −85
Answer ================> -85
Simplify:
1/3 + 6(2/3 - 1/6)^2
1/3 + 6(1/2)^2
1/3 + 6(1/4)
1/3 + 3/2
Answer =======> 11/6 =========> Decimal =======> 1.833333.....
Hope that helps!!!! : )
Percent. Hope this helps!
Here it is given that AB || CD
< EIA = <GJB
Now
∠EIA ≅ ∠IKC and ∠GJB is ≅ ∠ JLD (Corresponding angles)
∠EIA ≅ ∠GJB then ∠IKC ≅ ∠ JLD (Substitution Property of Congruency)
∠IKL + ∠IKC 180° and ∠DLH + ∠JLD =180° (Linear Pair Theorem)
So
m∠IKL + m∠IKC = 180° ....(1)
But ∠IKC ≅ ∠JLD
m∠IKC = m∠JLD (SUBTRACTION PROPERTY OF CONGRUENCY)
So we have
m∠IKL + m∠JLD = 180°
∠IKL and ∠JLD are supplementary angles.
But ∠DLH and ∠JLD are supplementary angles.
∠IKL ≅ ∠DLH (CONGRUENT SUPPLEMENTS THEOREM)
Answer:
5676.16 cm^3
Step-by-step explanation:
The volume of any prism is given by the formula ...
V = Bh
where B is the area of one of the parallel bases and h is the perpendicular distance between them. Here, the base is a triangle, so its area will be ...
B = 1/2·bh
where the b and h in this formula are the base and height of the triangle, 28 cm and 22.4 cm.
Then the volume is ...
V = (1/2·(28 cm)(22.4 cm))·(18.1 cm) = 5676.16 cm^3
_____
You will note that this is half the product of the three dimensions, so is half the volume of a cuboid with those dimensions. Perhaps you can see that if you took another such prism and placed the faces having the largest area against each other, you would have a cuboid of the dimensions shown.
Answer:
49 pie
Step-by-step explanation:
Area of a circle is pie(radius squared)
radius is half diameter
