Answer:
x ≈ 14.4 cm
Step-by-step explanation:
the third angle of the triangle = 180° - 40° - 46° = 94°
Using the Sine rule in the triangle
= 
( cross- multiply )
x × sin94° = 20 × sin46° ( divide both sides by sin94° )
x = 
≈ 14.4 cm ( to the nearest tenth )
Answer: 300
Step-by-step explanation:
Given , An electronics retailer receives a shipment of 6,000CDs to distribute to its stores.
i.e, Total CD's he has now = 6,000
Also, a quality control manager inspects a random sample(S) of 40CD's , the number of defective(D) CD's are 2.
Then , the proportion of defective( D) CD's = 
Now , the number of CDs in the shipment are likely to be defective = ( Total CD's) x (proportion of defective CD's)
= 6000 x 0.05
=300
Hence, the number of CDs in the shipment are likely to be defective =300
Answer:
Step-by-step explanation:
<u>The volume of the cube is:</u>
<u>The volume of the cut prism:</u>
- V = Bh, B- area of the base, h- height
The base is a right triangle with legs of 2.5 each.
<u>The volume is:</u>
- V = 1/2*2.5*2.5*5 = 15.625 cm³
<u>Required volume of the solid is the difference of the above volumes:</u>
- 125 - 15.625 = 109.375 cm³
Answer:
1 . given
2. given
3. transitive properties of congruence ...
4 .AAS
Hi there, we know the total number of stocks bough is 20, the rate was 31 1/2=63/2, 20*63/2=10*63=630 dollars, the rate they were sold is 35 1/4=141/4 dollars, 5*141=705 dollars, the amount of profit is 20 stocks. So, 705-630=75 dollars. So, the answer is C. You made a profit of $75.00
