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2 years ago

Simplify -4 + (-3) + 6

1 answer:

3 0

Start off with: -4 + (-3) + 6

First of all, when there is a, + sign and a - sign next to each other, the - side wins. E.g. 1 +- 3 = 1 - 3

So, apply this to our one:
-4 -3 +6

From there you solve, you can do this using the number line method or whatever you are into:
=-7 + 6
=-1
The answer is -1

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3 years ago

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3 years ago

Find the diagonal of a television screen 30 inches wide by 35 inches tall.

marin [14]

Answer:

46.1 in

Step-by-step explanation:

Given data

Width= 30in

Height= 35in

To find the diagonal, we have to use the Pythagoras theorem

z^2= x^2+y^2

z^2= 30^2+ 35^2

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Hence the diagonal of the TV is 46.1 in

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2 years ago

In FGH, the measure of H=90°, HF=91 feet, and GH = 50 feet. Find the measure of F to the nearest degree.

Rudik [331]

Given:

The angle of H=90°, HF=91 feet, and GH = 50 feet.

The objective is to find the measure of angle F.

In the given right angled triangle, the side opposite to the requierd angle is called opposite side, and the other smaller side is called adjacent side.

The trigonometry formula which relates with the opposite and adjacent side is,

$\tan \theta=\frac{opposite}{adjacent}$

Now substitute the value of opposite and adjacent in the above formula to find the value of angle F.

$\begin{gathered} \tan \theta=\frac{50}{91} \\ \theta=\tan ^{-1}(0.549) \\ \theta=28.787^0 \\ \theta\approx29^0 \end{gathered}$

Hence, the value of angle F is 29 degree.

3 0

1 year ago

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3 years ago