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4 years ago

How many binary digits does it take to represent the decimal number 2013?

2 answers:

7 0

Okay first of all in binary you don't call digits in binary "binary digits" you call it bits. secondly it would be 11 bits an converted from decimal to binary equals 11111011101 hope this helps.

Mamont248 [21]4 years ago

3 0

2^10 = 1024 and 2013 - 1024 = 989

So there will be 10 + 1 = 11 digits Answer

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4 years ago

In ΔHIJ, the measure of ∠J=90°, the measure of ∠I=29°, and JH = 88 feet. Find the length of IJ to the nearest tenth of a foot.

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We have been given that in ΔHIJ, the measure of ∠J=90°, the measure of ∠I=29°, and JH = 88 feet. We are asked to find the length of IJ to the nearest tenth of a foot.

First of all, we will draw a right triangle using our given information as shown in the attachment.

We can see that in triangle HIJ, the side IJ is adjacent side to angle I and JH is opposite side to angle I.

We know that tangent relates opposite side of right triangle to adjacent side.

$\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}$

$\text{tan}(29^{\circ})=\frac{88}{IJ}$

$IJ=\frac{88}{\text{tan}(29^{\circ})}$

$IJ=\frac{88}{0.554309051453}$

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