Answer:
The diameter of the pond is 38 m.
The radius of the pond is 19 m.
The area of the pond is 361 m^2.
Step-by-step explanation:
We know that the circumference C of a circle is equal to
In this case, C is equal to 120 m.
The diameter is then:
Rounded to the nearest whole number, the diameter is D=38 metres.
The radius is equal to half the diameter, so the radius of this pond is R=19 metres.
The area can be calculated from the radius as:
The area is 361 m^2
Answer:
The height of the lamp is 18.33 ft
Step-by-step explanation:
We can think in two triangle rectangles, one with cathetus of:
5.5ft and 6ft (the one formed by the woman ad her shadow)
And another triangle with cathetus equal to:
6ft + 14ft (the distance between the end of the shadow and the lamp)
And the other cathetus is the height of the lamp, H.
As bot triangles will share an angle (the one formed by the end of the shadow and the hypotenuse) then the triangles are equivalent, so the quotient between their cathetus will be equal, this is:
H/(6ft + 14ft) = 5.5ft/6ft
H/(20ft) = 5.5ft/6ft.
H = (5.5ft/6ft)*20ft = 18.33 ft
Answer:
<u>The Answer in Exact Form:</u>
-3/22
<u>In Decimal Form:</u>
-0.136
Step-by-step explanation:
-
÷5
=-3/22
J is your andswer. Area is side x side so multiply
Multiply the second equation by -3 in order to cancel out U
3u+z=15
-3(u+2z)=10
3u+z=15
-3u-6z=-30. Then u subtract those two equations
-5z=-15
Z=3
To solve for u, plug in the z in one of the equation (doesn’t matter which one)
3u+3=15
3u=12
U=4
Ur answer is
U=4. Z=3
