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2 years ago

Find a in 211afour= 150

Mathematics

1 answer:

saw5 [17]2 years ago

7 0

Answer:

a = 2

Step-by-step explanation:

Given the expression:

$2111_{four} = 150$

This can be expressed as:

$(2*4^3)+(1*4^2)+(1*4^1)+(a*4^0) = 150\\128+16+4+a = 180\\148 + a = 150\\a = 150 - 148\\a = 2$

Hence the value of a is 2

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Express cos(27pi/8) as a trigonometric function of an angle in Quadrant I.

Kryger [21]

Answer:

The equivalent trigonometric ratio in Quadrant I is $-\cos (\frac{3\pi}{8})$

Step-by-step explanation:

The terminal side of $\frac{27\pi}{8}$ is in the 3rd quadrant.

The principal angle is $\frac{3\pi}{8}$

In other words, the terminal side of $\frac{27\pi}{8}$ makes an acute angle of $\frac{3\pi}{8}$ radian with the positive x-axis. Acute angles are in the first quadrant.

Since the cosine ratio is negative in the 3rd quadrant,

$\cos (\frac{27\pi}{8})=-\cos (\frac{3\pi}{8})$

3 0

2 years ago

Read 2 more answers

Find a negative real number such that the square of the sum of the number and 5 is equal to 1225. (

Sholpan [36]

The number is -40

Step-by-step explanation:

Let x be the number that we have to find

Then according to the given statement

the square of the sum of the number and 5 is equal to 1225.

$(x+5)^2 = 1225$

Taking square root on both sides

$\sqrt{(x+5)^2} = \sqrt{1225}\\x+5 = -35 and x+5 = -35\\$

Subtracting 4 from both sides

$x+5-5 = 35-5\ and\\ x+5 = -35-5\\x = 30\ and\ x = -40$

As it is mentioned in the equation, that the number is a negative number

So,

x = -40

Keywords: Radicals, Linear equations

Learn more about radicals at:

#LearnwithBrainly

5 0

2 years ago

Can you help me put this in least to greater

MariettaO [177]

Answer: 3.707, 3.71, 3.8, 3.809, 3.83, 3.89

5 0

2 years ago

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Find the angle between 450 and 630 that has the same sine as -60

Maksim231197 [3]

Answer:

The angle is of 600º.

Step-by-step explanation:

Angle of -60:

An anle of -60 is the same as an angle of -60 + 360 = 300º, which is in the fourth quadrant. In the fourth quadrant, just like in the third, the sine is negative.

Equivalent of an angle of 300º in the third quadrant:

The equivalent of an angle of 300º in the third quadrant(between 180 and 270) is given by: 270 - (300 - 270) = 270 - 30 = 240º. That is, they have the same sine.

Angle between 450 and 630:

This is on the second lap of the trigonometric circle, that is, we take the original measures and add 360º(length of a lap). So

240 + 360 = 600º

The angle is of 600º.

5 0

2 years ago

Please help its just those 2 i need help on

NeTakaya

Answer:

B) -4

C) -5

Step-by-step explanation: