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topjm [15]
3 years ago
14

Find the missing side length

Mathematics
1 answer:
jolli1 [7]3 years ago
5 0

Answer:

c. 10

Step-by-step explanation:

Pythagoras theorem is used since it's a right angle triangle

26²-24²=a²

676-576=a²

√100=√a²

a=10

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Angelina_Jolie [31]
The volume of a sphere is given by the equation V= \frac{4}{3}  \pi r^3, where r is the radius.

We are given the diameter of the sphere, but recall that the diameter is twice the radius: d=2r. So the radius is half of the diameter: r= \frac{1}{2}d.

Half of 8 cm is 4 cm.

We substitute this for r in the equation and we use 3.14 for <span>π.</span>

V= \frac{4}{3}(3.14)(4)^3= \frac{(4^4)(3.14)}{3}=267.9 \ cm^3
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A person gets on a Ferris wheel at the starting point. The starting point is 15 feet off the ground. The Ferris wheel has a radi
lisov135 [29]
<h2>Answer:</h2>

\boxed{\frac{25}{2}(\sqrt{6}+\sqrt{2})+65}

<h2>Explanation:</h2>

<em>The height of the rider from the ground after the Ferris wheel</em> equals <em>the starting point is 15 feet off the ground </em><em>plus </em><em>the radius of the Ferris wheel </em><em>plus </em><em>the opposite side of the triangle ΔABC </em>(See figure below).<em> </em>Hence our goal is to find this side. We have the angle 11\pi /2=165^{\circ}, therefore the angle ∠BAC = 165° - 90° = 75°. So this side can be found using trigonometry:

\overline{BC}=\overline{AB}sin(75^{\circ})=50sin(75^{\circ})=\frac{25}{2}(\sqrt{6}+\sqrt{2})

Finally, the height is:

H=\frac{25}{2}(\sqrt{6}+\sqrt{2})+15+50 \\ \\ \boxed{H=\frac{25}{2}(\sqrt{6}+\sqrt{2})+65}

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3 years ago
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jenyasd209 [6]

Answer:

The first blank is 6.

The second blank is 7.

Step-by-step explanation:

The square root of 41 is between 6 and 7.

6 square is 36

7 square is 49.

So, the square root of 41 should be between 6 and 7.

The first blank is 6.

The second blank is 7.

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