Answer:
759 square foot garden
Step-by-step explanation:
L= length
W= Width
Perimeter = 2(L + W)
112 = 2(L + W)
divide both sides by 2 and you get
56 = L + W
L=33
W=23
Answer: 3/4 of an hour left.
Step-by-step explanation:
Step 1: 2 hours = 4/4 +4/4
Step 2: 4/4 - 2/4 = 2/4
Step 3: 4/4 - 3/4 = 1/4
Step 4: 2/4 + 1/4= 3/4
<span>We need to calculate noon sun angle. Noon sun angle is an angle at which sun-rays fall at noon on a given date.
</span>On September 22, the sun’s rays form a 90° angle at noon at the equator.
Formula for calculating noon sun angle is:
Noon_sun_angle = 90° - Zenith angle
We have complementary angles so we need to substract zenith angle from 90°.
The zenith angle is the distance between subsolar point (point where sun is at 90°) and the latitude of an observer. In our case this angle will have same value as latitude because subsolar point is at equator 0°. If our latitude and subsolar point are at same hemisphere we substract values. Otherwise we add values.
New Orleans, USA
Latitude = 30°
Noon_sun_angle = 90° - 30° = 60°
Helsinki, Finland
Latitude = 60°
Noon_sun_angle = 90° - 60° = 30°
Answer:
a) 100 metres
b) 10 metres
Step-by-step explanation:
Given: the approximate height, h, in meters, travelled by golf balls hit with two different clubs over a horizontal distance of d meters is given by the functions: ![h=-0.002d^2+0.3d\,,\,h=-0.004d^2+0.5d](https://tex.z-dn.net/?f=h%3D-0.002d%5E2%2B0.3d%5C%2C%2C%5C%2Ch%3D-0.004d%5E2%2B0.5d)
To find: distances when the ball is at the same height when either of the clubs are used. Also, to find this height
Solution:
(a)
![-0.002d^2+0.3d=-0.004d^2+0.5d\\d(-0.002d+0.3)=d(-0.004d+0.5)\\-0.002d+0.004d=0.5-0.3\\0.002d=0.2\\d=\frac{0.2}{0.002}=100\,\,metres](https://tex.z-dn.net/?f=-0.002d%5E2%2B0.3d%3D-0.004d%5E2%2B0.5d%5C%5Cd%28-0.002d%2B0.3%29%3Dd%28-0.004d%2B0.5%29%5C%5C-0.002d%2B0.004d%3D0.5-0.3%5C%5C0.002d%3D0.2%5C%5Cd%3D%5Cfrac%7B0.2%7D%7B0.002%7D%3D100%5C%2C%5C%2Cmetres)
(b)
Put d = 100 in ![h=-0.002d^2+0.3d](https://tex.z-dn.net/?f=h%3D-0.002d%5E2%2B0.3d)
![h=-0.002(100)^2+0.3(100)\\=-20+30\\=10\,\,metres](https://tex.z-dn.net/?f=h%3D-0.002%28100%29%5E2%2B0.3%28100%29%5C%5C%3D-20%2B30%5C%5C%3D10%5C%2C%5C%2Cmetres)
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