Adjacent angles<span> are two </span>angles<span> that have a common vertex and a common side.
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Which shows a way to take apart 7?
2 answers:
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Answer:
Option D is the correct answer.
Step-by-step explanation:
Coefficients od dividend = (4, - 17, - 15)
Dividend
Divisor x = 5 =>x-5= 0
Coefficients of Quotient = (4, 3)
Quotient
Remainder = 0
Since,
Answer:
Exact height = 8*sqrt(3) mm
Approximate height = 13.856 mm
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Explanation:
If you do a vertical cross section of the cylinder, then the 3D shape will flatten into a rectangle as shown in the diagram below.
After flattening the picture, I've added the points A through F
- point A is the center of the sphere and cylinder
- points B through E are the corner points where the cylinder touches the sphere
- point F is at the same horizontal level as point A, and it's on the edge of the cylinder.
Those point labels will help solve the problem. We're told that the radius of the sphere is 8 mm. So that means segment AD = 8 mm.
Also, we know that FA = 4 mm because this is the radius of the cylinder.
Focus on triangle AFD. We need to find the height x (aka segment FD) of this triangle so we can then double it later to find the height of the cylinder. This in turn will determine the height of the bead.
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As the hint suggests, we'll use the pythagorean theorem
a^2 + b^2 = c^2
b = sqrt(c^2 - a^2)
x = sqrt(8^2 - 4^2)
x = sqrt(48)
x = sqrt(16*3)
x = sqrt(16)*sqrt(3)
x = 4*sqrt(3)
This is the distance from D to F
The distance from D to E is twice that value, so DE = 2*(FD) = 2*4*sqrt(3) = 8*sqrt(3) is the exact height of the bead (since it's the exact height of the cylinder).
Side note: 8*sqrt(3) = 13.856 approximately.
Answer:
<u>30 hours</u> it will take to fill the reservoir.
Step-by-step explanation:
Given:
Water is pouring down into a cuboidal reservoir at the rate of 60 liters per minute.
The volume of the reservoir is 108 m³.
Now, to find the number of hours it will take to fill the reservoir.
As given the rate is liters per minute so we convert the volume into liters:
1 m³ = 1000 liters.
Thus, 108 m³ = 1000 × 108 = 108000 liters.
So, the volume of reservoir = 108000 liters.
And the rate of water pouring down = 60 liters per minute.
Now, to get the number of hours to fill the reservoir:
Now, to convert the 1800 minutes to hours by dividing 1800 by 60 as 1 hour is equal to 60 minutes:
Therefore, 30 hours it will take to fill the reservoir.