What is the difference in length between 1 1/4 inch button and a 3/8 inch button

Mathematics

1 answer:

jeka943 years ago

3 0

You have two buttons of different lengths.

First with length $1\dfrac{1}{4}$ in and second with length $\dfrac{3}{8}$ in. The first one is larger, then the difference in length between them is:

$1\dfrac{1}{2}-\dfrac{3}{8}=\dfrac{3}{2}-\dfrac{3}{8}=\dfrac{3\cdot 4-3}{8}=\dfrac{12-3}{8}=\dfrac{9}{8}=1\dfrac{1}{8}\ in.$

Answer: $1\dfrac{1}{8}$ in.

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The angle of the elevation from the top of a 95 Todd building into a hot air balloon in the sky and 76° if the horizontal distan

AnnZ [28]

Answer:

The height of the hot air balloon is 1514.54 feet approximately.

Step-by-step explanation:

Consider the provided information.

The angle of elevation from the top of a 95-foot tall building to a hot air balloon in the sky is 76. If the horizontal distance between the building and the hot air balloon is 354 feet, find the height of the hot air balloon

The figure is shown below:

Let the height of the balloon is AD, the height of the building is BC.

Draw a line BE parallel to CD.

Therefore, AD=x+95, BC=95 and BE=CD=354 ft

Now in triangle $ABE$ .