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3 years ago

Determine the sign of cos pi divided by seven without using a calculator.

Mathematics

2 answers:

Sophie [7]3 years ago

3 0

The angle $\frac{\pi}{7}$ is in Quadrant 1 and cos of an angle in quadrant 1 is always positive

Aliun [14]3 years ago

3 0

Answer:

The $\cos \frac{\pi}{7}$ has positive sign.

Step-by-step explanation:

we need to determine the sign of $\cos \frac{\pi}{7}$ without using calculator

Cartesian system ( shown in figure -1)

The angle $\cos \frac{\pi}{7}$ lies in quadrant-1 , Where angles are zero (0) to $\frac{\pi}{2}$

and in first quadrant all trigonometric ratios has positive sign

so, $\cos \frac{\pi}{7}$ has positive sign.

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1) What is the length of the garden in this blueprint?<br> 1”=4 feet <br> 1/4

patriot [66]

Answer:

Area is the measure of the amount of surface covered by something. Area formulas for different shapes are sometimes different, but for the most part, area is calculated by multiplying length times width. This is used when calculating area of squares and rectangles. Once you have the number answer to the problem, you need to figure out the units. When calculating area, you will take the units given in the problem (feet, yards, etc) and square them, so your unit measure would be in square feet (ft.2) (or whatever measure they gave you).

Step-by-step explanation:

4 0

3 years ago

The sum of a number and its square is 182. Find the number.

Mars2501 [29]

Answer:

13 and -14 satisfy this condition

Step-by-step explanation:

Let's represent that number as x

and the square of x is x^2

So,

x + x^2 = 182

Subtract 182 from both sides

x + x^2 - 182 = 182 - 182

x + x^2 - 182 = 0

rearrange the quadratic equation

x^2 + x -182 = 0

let's use the quadratic formula

$\frac{-b+\sqrt{b^2-4ac} }{2a}$ or $\frac{-b-\sqrt{b^2-4ac} }{2a}$

a = 1, b = 1, c = -182

$\frac{-1+\sqrt{1^2-4*1*(-182)} }{2*1}$ or $\frac{-1-\sqrt{1^2-4*1*(-182)} }{2*1}$

$\frac{-1+\sqrt{1+728} }{2}$ or $\frac{-1-\sqrt{1+728} }{2}$

$\frac{-1+\sqrt{729} }{2}$ or $\frac{-1-\sqrt{729} }{2}$

$\frac{-1+{27} }{2}$ or $\frac{-1-{27} }{2}$

$\frac{26}{2}$ or $\frac{-28}{2}$

13 or - 14

Lets check

13 + 13^2 = 13 + 169

= 182

Also,

-14 + (-14^2) = -14 + 196

= 182

8 0

3 years ago

5, 3, 2, 6, 7, 9, 1, 15, 4, 2, 3, 3, 9, 5, 1, ?

Shkiper50 [21]

Answer:

I have no idea thank you for the points

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

On the following number line, two rational numbers are graphed.Represent the two numbers as fractions (or mixed numbers) in lowe

nordsb [41]

The first graphed rational number is at the middle of -2 and -1, thus the number represented is $-1 \frac{1}{2}$

The second graphed number is five out of six places from from 0 to 1, thus the number graphed is $0+ \frac{5}{6} = \frac{5}{6}$

The difference between the two numbers can be represented as
$-1 \frac{1}{2} - \frac{5}{6}$
or
$\frac{5}{6} -(-1 \frac{1}{2} )= \frac{5}{6} +1 \frac{1}{2}$

To find the difference,

$-1 \frac{1}{2} - \frac{5}{6} \\ \\ =-1 \frac{3+5}{6} \\ \\ =-1 \frac{8}{6} =-2 \frac{2}{6} \\ \\ =-2 \frac{1}{3}$

Also,

$\frac{5}{6} +1 \frac{1}{2} \\ \\ =1 \frac{5+3}{6} \\ \\ =1 \frac{8}{6} =2 \frac{2}{6} \\ \\ =2 \frac{1}{6}$

4 0

3 years ago

The sum of two and the quotient of a number x and five

Burka [1]

The sum of two and the quotient of a number x and fine.

sum= +

two= 2

quotient= divide

five= 5

2+ x/5 <- should look something like this

I hope this helps!
~kaikers

3 0

3 years ago

Read 2 more answers