Answer:
EH = 120 degrees
Step-by-step explanation:
angles in a circle add up to 360 degrees
arc EF + arc FG + arc GH + arch EH = 360
95 + 90 + 55 + EH = 360
240 + EH = 360
subtract 240 from both sides to isolate EH
EH = 120 degrees
Answer:
-20 + 15g
Step-by-step explanation:
5 multiplied by -4 is -20
5 multiplied by 3g is 15 g.
because these two variables do not both have a g with them, this is the most they can be simplified. hope this helps!
Answer:
Radius = 8.575 cm
Step-by-step explanation:
Formula for volume of a pyramid is;
V_p = ½Ah
Where A is area of base and h is height
Also, formula for volume of cone is given as;
V_c = ⅓πr²h
Now, we are told that V_p = V_c and that h is the same for both shapes.
Thus ;
½Ah = ⅓πr²h
h will cancel out to give;
½A = ⅓πr²
Cross multiply to give;
3A/2π = r²
Base area of pyramid is given as 154 cm². Thus;
(3 × 154)/2π = r²
r = √((3 × 154)/2π
r = 8.575 cm
Answer:
75
Step-by-step explanation:
If the third of 6 consecutive numbers is 12, what is their sum?
6 numbers = c-2, c-1, c, c+1, c+2, and c+3
The numbers become 10, 11, 12, 13, 14, and 15
Add that together and you get 75.
Answer:
9375
Step-by-step explanation:
