48 goes in to 2,652 how many times...that your answer...48 cannot go into 2 6 or 5 but it can into 265 5 times which equal240 subtract that from265 =25 ,48 cannot go in to 25 so bring down the 2 to make it 252 then divide 48 by 252 which goes 5 times equaling12 48 cannot go in to 12 so add a 0 to 2652 to make it 26520 then bring the 0 down to make 12 120 then divide 48 into that which it goes 2 times equaling 96 120subtract 96=24 48 cannot go into 24 so add another 0 to 26520 to make it 265200 bring down the zero to make 24 into 240 divide 48 into that which gives you240 subtract 240 from 240 = 0 so your answer is 48 divide into 2652=525
Answer:
Side length = 5.8 in
Perimeter = 29
Area = 58 in²
Step-by-step explanation:
✔️Find Side length using trigonometric ratio:
Angle at center of a pentagon is always 36° (we have measure of a full circle, 360, divided by 10 smaller triangles = 36°)
So:
Reference angle = 36°
Adjacent side = 4 in.
Opp = ½ of the side length of the polygon = x (let's represent this as x)
Thus, apply TOA:
Tan 36 = Opp/Adj
Tan 36 = x/4
4*Tan 36 = x
x ≈ 2.9 in (nearest tenth)
Side length = 2*x = 2*2.9 = 5.8 in
✔️Perimeter = 5*side length
Perimeter = 5*5.8 = 29 in
✔️Area = ½aP
Where,
a = 4 in
P = 29
Plug in the values
A = ½*4*29
A = 58 in²
Answer:
(-5,3)
Step-by-step explanation:
The point (5,7) translated down 4 units gets to the point (5,3). If you reflect it over the y-axis, the x-coordinate becomes negative, and the y-coordinate stays the same. This gets you the point (-5,3)
Hope it helps and is correct!
Answer:
Step-by-step explanation:
You can get the gradient of the line perpendicular to this as you know the products of their gradients will be -1.
We have a gradient, and a point (6, 1), so we can now substitute our known values into the line equation.
Rearrange for y and collect terms.
Hours to paint one room
<span>Jake: t hours </span>
<span>Lionel: t-2 hours </span>
<span>Wayne: (1.5)(t-2) hours </span>
<span>Now who is Donald? </span>
<span>Shall we assume that by "Donald" you meant "Wayne"? </span>
<span>If t is 6 hours, then the hours to paint one room is </span>
<span>Jake: 6 hours </span>
<span>Lionel: 4 hours </span>
<span>Wayne: 6 hours </span>
<span>This means that in one hour: </span>
<span>Jake can paint 1/6 of a room, </span>
<span>Lionel can paint 1/4 of a room, </span>
<span>Wayne can paint 1/6 of a room. </span>
<span>Added together, the three of them can paint (1/6 + 1/4 + 1/6) = 7/12 of a room in one hour.</span>
