Answer:
sinΘ = 
Step-by-step explanation:
sinΘ = 
= 
=
<span>25: 2 × 2 × 13 65: 5 × 13</span>
Answer: V = 706.5 cubic millimeters
Step-by-step explanation:
V = (3.14)(r^2)(h)
V = (3.14)(5^2)(9)
V = (3.14)(25)(9)
V = 706.5
Explanation:
Statements are numbered; reasons are in italics.
1. ABCD is a parallelogram with AB≅CD and BC≅AD. <em>Given; definition of a parallelogram</em>.
2. Diagonal AC ≅ diagonal CA. <em>Reflexive property of congruence</em>.
3. ΔABC ≅ ΔCDA. <em>SSS congruence postulate</em>.
4. ∠B ≅ ∠D. <em>CPCTC</em>. (Opposite angles B and D are congruent.)
5. Diagonal BD ≅ diagonal DB. <em>Reflexive property of congruence</em>.
6. ΔABD ≅ ΔCDB. <em>SSS congruence postulate</em>.
7. ∠A ≅ ∠C. <em>CPCTC</em>. (Opposite angles A and C are congruent.)
Answer:
4200 with 35% markdown: 2730
5000 with 44% markdown: 2800
Step-by-step explanation:
To calculate the price of an item including the markdown, multiply the original price by (1 minus markdown).
Convert the markdown percentage to decimal form before subtracting.
4200 with a 35% markdown: (35% = 0.35)
4200*(1 - 0.35)
= 4200 *(0.65)
= 2730
5000 with a 44% markdown: (44% = 0.44)
5000*(1 - 0.44)
= 5000*(0.56)
= 2800
Therefore, the sale price for $4200 with a 35% markdown is $2730, and the sale price for $5000 with a 44% markdown is $2800.
