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:
The average cost of each dinner at Dave's party is <u>$5.79</u>.
Step-by-step explanation:
Given:
Dave ordered dinner for a party of 10 people.
Three people ordered the $4.75 chicken dinner, two people ordered the $4.95 fish dinner, and five had the beef dinner at a cost of $6.75 each.
Now, to find the average cost of each dinner at Dave's party.
So, we get the total amount for the dinner:
Three people ordered the $4.75 chicken dinner.

Two people ordered the $4.95 fish dinner.

Five had the beef dinner at a cost of $6.75.

Total amount of dinner = 
Now, to get the average cost of each dinner of 10 people we divide the total amount of dinner by 10:


Therefore, the average cost of each dinner at Dave's party is $5.79.
Answer: AB=√17, AD=√98,6
Step-by-step explanation:
AB²=BC²+AC²-2*BC*AC*cosACB
AB²=5²+4²-2*5*4*0,6=25+16-24=17
AB=√17
AD²=AC²+CD²-2*AC*CD*cosACD
cosACD=cos(180°-ACB)=-cosACB
AD²=4²+7²-2*4*7*(-0,6)=16+49+33,6=98,6
AD=√98,6