Answer:
94.2 cm³
Step-by-step explanation:
The volume of a cone is
1/3 x h x π x r²
Plug in the values!
1/3 x 10 x 3.14 x 3²
1/3 x 10 x 3.14 x 9
3 x 10 x 3.14
30 x 3.14
94.2 cm³
Corey stepped back 59.71 feet to get a better view of the bird.
Explanation:
This is a right angled triangle. Let
be the angle of elevation.
Let the adjacent side of the triangle be x for the angle 
Let the opposite side of the triangle by y for the angle 
Thus,

Since, the height of the tree is 80 feet, 
To find the value of x, let us substitute
and 

Since, Corey moves back a few steps to gain a better view of the bird, the angle of elevation is 41°
Now, we shall find the x for
and 

To find how many feet Corey step back is to subtract the value of two adjacent sides, thus,

Thus, Corey stepped back 59.71 feet to get a better view of the bird.
4y+12=7-5y add 5y to both sides
9y+12=7 subtract 12 from both sides
9y=-5 divide both sides by 9
y=-5/9
Answer:
Step-by-step explanation:
point - slope formula: y - y1 = m(x-x1)
we need to find the slope ... or what is m ?
m = rise / run
m = y2 - y1 / x2 - x1
where the given points are (x1,y1) and (x2,y2)
m= 7-5 / 6-5
m = 2 / 1
m =2
now use either point and plug the slope and the point into the point-slope formula
y-5 =2(x-5) :)
Answer:
B) 1 7/8
Step-by-step explanation:
1. first, if you have 16/8 then it would be 2, but since it is 15/8 you need to minus 15 and 8
2. 15-8=7, now you only have 7
3. last, since you only have 7 then it is 1 whole and 7 8ths
4. 1 7/8 is your answer.