Answer:
Annike's bike trip started at 7:00, if she and Celia both start at the same time you would multiply Annike's average speed by Celia's average speed to find where they would have completed the same number of miles
equation: 11×14=154 14×11=154
Step-by-step explanation:
counting by 11:
11 22 33 44 55 66 77 88 99 110 121 132 143 <em><u>154</u></em>
11 × 14 = 154
counting by 14:
14 28 42 56 70 84 98 112 126 140 <em><u>154</u></em>
14 × 11 = 154
An "inconsistent" system means that there will be no shared point between the two lines. This can happen when the two lines are parallel. To determine which one of the equations would cause this, simply compare the slopes of both equations and see which ones match.
The given equation 4x + 2y = 9 has a slope, m = -2
Among the choices, the equation with the same slope is 2x + y = -6.
To solve this question, let's find the surface area of the entire pie and then divide it by 6 for each slice.
The area of a circle is pi*r^2. We are given the diameter, so divide that by 2 to get the radius.
Now that you have the area, divide by 6. That is the area of each slice. The problem asks for the area of 2 slices though, so multiply that by 2.
Volume of a quadrangular pyramid=(1/3)bh
b=base
h=height
b=area of the base=area of a square=8.4 ft * 8.4 ft=70.56 ft²
Pythagoras theorem:
hypotenuse²=leg₁² + leg₂²
data:
hypotenuse=9.6 ft
leg₁=height=h
leg₂=8.4 ft /2=4.2 ft
(9.6 ft)²= h² + (4.2 ft)²
92.16 ft²=h²+17.64 ft²
h²=92.16 ft²-17.64 ft²
h²=74.52 ft²
h=√(74.52 ft²)=8.63 ft.
Volume of this quadrangular pyramid=(1/3)(70.56 ft²)(8.63 ft)=202.9 ft³≈202.3 ft³
Answer: ≈202.3 ft³
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Step-by-step explanation:
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