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3 years ago

Use prime factor decomposition, to find the HCF of 90 and 210!

Mathematics

1 answer:

andriy [413]3 years ago

4 0

Answer:

Step-by-step explanation:

90 = 2 × 3^2 × 5

210 = 2 × 3 × 5 × 7

HCF = 2 × 3 × 5 = 30

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3 years ago

The ground temperature at an airport was 10 degree temperature dropped 5 degrees for every 1000m above the ground. What was the

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4 years ago

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

What two numbers are located 5/8 of a unit from 1/6 on a number line

velikii [3]

Step 1
Find the common denominator.
5/8 and 1/6---------> would be 2³*3----> 24

step 2
multiply (5/8) by (3/3) and (1/6) by (4/4)
5/8-----> 15/24
1/6-----> 4/24

step 3
find the numbers
4/24+15/24------> 19/24
4/24-15/24-------> -11/24

the answer is
the two numbers are
19/24 and -11/24

see the attached figure

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3 years ago

Use prime factor decomposition, to find the HCF of 90 and 210!​

Use prime factor decomposition, to find the HCF of 90 and 210!