Answer:
400.
Step-by-step explanation:
50 doubles to 100 for the 1st week. 100 becomes 200 the 2nd and 400 for the 3rd week.
Answer:
65
Step-by-step explanation:
6+5 = 11
6-5 = 1
Answer: Sathish will pay for all of the gas when he is alone in the car, but he and his friends will split the cost evenly when they are together.
Step-by-step explanation:
The answer will be 62.4. We know this because of the next procedure:
<span>We know that:
the volume of a cylinder is pi * r^2 * h
the volume of a cone is 1/3 * pi * r^2 * h
the total height is 47.
the height of the cone is 12.
</span><span>the height of the cylinder must be 35.
Now, if the top half is filled with sand, then the volume of the sand is
pi * 4^2 * 36 and the volume of the cone is 1/3 * pi * 4^2 * 12.
the total volume = 1960.353816 cubic millimeters.
since the top drains at the rate of 10 * pi cubic millimeters per second, the top will be empty and the bottom full after 1960.353816 / (10 * pi) = 62.4 seconds.
I hope this answer is ok for you </span>
Answer:
The measure of ∠GKH is 27°
Step-by-step explanation:
- In the isosceles triangle, the base angles are equal in measures
- The measure of an exterior angle at a vertex of a triangle equals the sum of the measures of two opposite interior angles
In Δ HJK
∵ HJ = JK
→ That means the triangle is isosceles
∴ Δ HJK is an isosceles triangle
∵ ∠JHK and ∠JKH are base angles
→ By using the first rule above
∴ m∠JHK = m∠JKH
∵ m∠HJK = 70°
∵ m∠JHK + m∠JKH + m∠HJK = 180° ⇒ interior angles of a triangle
∴ m∠JHK + m∠JKH + 70 =180
→ Subtract 70 from both sides
∴ m∠JHK + m∠JKH = 110
→ Divide their sum by 2 to find the measure of each one
∴ m∠JHK = m∠JKH = 110 ÷ 2 = 55°
∵ ∠JHK is an exterior angle of ΔGHK at vertex H
∵ ∠HGK and ∠GKH are the opposite interior angles to ∠JHK
→ By using the 2nd rule above
∴ m∠JHK = m∠HGK + m∠GKH
∵ m∠JHK = 55°
∵ m∠HGK = 28°
∴ 55 = 28 + m∠GKH
→ Subtract 28 from both sides
∴ 27° = m∠GKH
∴ The measure of ∠GKH is 27°
