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3 years ago

6

Find an exact value. cosine of nineteen pi divided by twelve.

2 answers:

zaharov [31]3 years ago

4 0

The answer is -0.083333333333333

mihalych1998 [28]3 years ago

4 0

Answer:

-0.0833

Step-by-step explanation:

$\frac{cos^19(\pi)}{12}=-\frac{1}{12} = -0.0833$

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I'm having trouble with algebraic fractions . 3/2n-8/3=-29/12

nadezda [96]

what we can do is hmmmm get the LCD of all fractions, and multiply both sides by that LCD, let's see, we have denominators of 2, 3 and 12, so we can use the LCD of 12, and multiply both sides by 12 to do away with the denominators.

$\bf \cfrac{3}{2}n-\cfrac{8}{3}=-\cfrac{29}{12}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{3}{2}n-\cfrac{8}{3} \right)=12\left( -\cfrac{29}{12} \right)}\implies (6)3n-(4)8=(1)-29 \\\\\\ 18n-32=-29\implies 18n=3\implies n=\cfrac{3}{18}\implies n=\cfrac{1}{6}$

5 0

4 years ago

Prove algebraically that the recurring decimal 0.35 (the 5 recurring) has the value <img src="https://tex.z-dn.net/?f=%5Cfrac%7B

DedPeter [7]

Answer:

Step-by-step explanation:

r10 = 3.555555555...

r100 = 35.55555555...

then, r100-r10 = 35.555... - 3.555...

r90= 32

to find r, divide both sides by90

which will give as ;

r = 32

------

90

4 0

3 years ago

Divide the fractions and reduce to lowest terms: 2/5÷3/12

Lapatulllka [165]

Answer:

8/5

Step-by-step explanation:

You can rewrite the equation to 2/5 * 12/3

Which is equal to 2/5*4

So 2 times 4 is 8

So the answer is 8/5

Hope this helps!

6 0

2 years ago

What is the name of the intercepted for ade

Goryan [66]

The intersected arc is the arc opposite the angle in question, here arc ABE.

Answer: ABE, last choice

4 0

3 years ago

Nuts Galore sells a trail mix containing dried banana chips, roasted almonds, and chocolate chips that sells for $6.52 per pound

KengaRu [80]

Answer:

$x = 28$ ----- Banana

$y = 54$ ----- Almonds

$z = 18$ ---- Chocolate

Step-by-step explanation:

Let

$x \to$ banana

$y \to$ almonds

$z \to$ chocolate

So, we have:

$x + y + z = 100$ --- total used

$4x + 8y + 6z = 652$ -- i.e. 6.52 * 100 --- total sales from 100 pounds

$y = 3z$

Required

The number of pounds of each (i.e. x, y and z)

Substitute $y = 3z$ in $x + y + z = 100$

$x + 3z + z = 100$

$x + 4z = 100$

Make x the subject

$x = 100 - 4z$

Substitute $y = 3z$ in $4x + 8y + 6z = 652$

$4x + 8 * 3z + 6z = 652$

$4x + 24z + 6z = 652$

$4x + 30z = 652$

Substitute $x = 100 - 4z$

$4(100 - 4z) + 30z = 652$

$400 - 16z + 30z = 652$

Collect like terms

$- 16z + 30z = 652-400$

$14z = 252$

Divide by 14

$z = 18$

Substitute $z = 18$ in $x = 100 - 4z$

$x = 100 - 4 * 18$

$x = 100 - 72$

$x = 28$

To calculate y, we have:

$y = 3z$

$y = 3 * 18$

$y = 54$

6 0

3 years ago