Answer:
22km
Step-by-step explanation:
As Sheila only walks 2.75 km one day out of the week, then she walks 2.75km/week. Because of this, the answer can be found by multiplying 2.75 by 8.
For this case we can pose the problem as a rectangle triangle.
We know the hypotenuse and one side of the triangle.
Therefore, the other side is given by:
10 ^ 2 = 6 ^ 2 + x ^ 2
Clearing x we have:
x ^ 2 = 10 ^ 2-6 ^ 2
x = root (10 ^ 2-6 ^ 2)
x = 8 feet
Answer:
The length in feet of the garden is:
x = 8 feet
Answer:
Step-by-step explanation:
This is a separable equation. First divide both sides by y:
Integrate both sides:
Solve for y taking exp to both sides:
Where is an arbitrary constant
Evaluating the initial condition:
Finally, replacing in the differential equation solution:
Answer:
Step-by-step explanation:
Circumcenter of A triangle is the center of a circle passing through the vertices of the given triangle.
So, the distance of Z from the vertices Q, R and S will be the radii of the circle.
Therefore, ZQ = ZR = ZS
Since, circumcenter of a triangle is defined by the point of intersection of the perpendicular bisectors of the sides of the given triangle.
Therefore, points W, X and Y are the midpoints of sides QR, RS and QS.
Using these facts,
a). QR = 2(WQ)
= 2(25)
= 50
b). Apply Pythagoras theorem in ΔRXZ,
(RZ)² = (RX)² + (ZX)²
(RZ)² = (40)² + (9)²
RZ = √1681 = 41
c). XS =
=
= 40
d). Since, ZQ = ZR = ZS
ZS = 41
e). By applying Pythagoras theorem in ΔRWZ,
(RZ)² = (WZ)² + (WR)²
(41)² = (WZ)² + (25)²
(WZ)² = (41)² - (25)²
WZ = √1056
WZ =
≈ 32.5
The answer is A. 16 is a multiple of 4 since 4 x 4 is 16