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MA_775_DIABLO [31]

3 years ago

11

Use the half angle identity to determine cos105

2 answers:

Lisa [10]3 years ago

7 0

You haven’t showed us the picture

Natalka [10]3 years ago

3 0

Answer:

$-\frac{\sqrt{2-\sqrt{3} } }{2}$

Step-by-step explanation:

B on edge

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How multiplied whole number with fraction

Fofino [41]

Search it up and you shall find an answer believe me it is there

3 0

4 years ago

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Solve equation, check for extraneous solutions

fiasKO [112]

Start with

$1=\dfrac{1}{n^2}+\dfrac{n^2-4n-5}{3n^2}$

We observe that both fractions are not defined if $n=0$ . So, we will assume $n \neq 0$ .

We multiply both numerator and denominator of the first fraction by 3 and we sum the two fractions:

$1=\dfrac{3}{3n^2}+\dfrac{n^2-4n-5}{3n^2} = \dfrac{n^2-4n-2}{3n^2}$

We multiply both sides by $3n^2$ :

$n^2-4n-2=3n^2$

We move everything to one side and solve the quadratic equation:

$2n^2+4n+2=0 \iff 2(n^2+2n+1)=0 \iff 2(n+1)^2=0 \iff n+1=0 \iff n=-1$

We check the solution:

$1=\dfrac{1}{1}+\dfrac{1+4-5}{3} \iff 1 = 1+0$

which is true

8 0

3 years ago

What percent of 95 is 74

Softa [21]

74 is what percent of 95?

74 is P% of 95

Equation: Y = P% * X

Solving our equation for P

P% = Y/X

P% = 74/95

p = 0.7789

Convert decimal to percent:

<span>P% = 0.7789 * 100 = 77.89%
</span>

Hope I helped!

Let me know if you need anything else!

~ Zoe

7 0

4 years ago

Suppose it takes you 14 hour to drive to the movie theater at a rate of 40 mph. Your friend lives closer to the movie theater th

dezoksy [38]

Answer: (d)

Step-by-step explanation:

Given

It takes 14 hours with 40 mph to reach the theatre

so, the distance traveled is given by

$\Rightarrow d_1=40\times 14\\\Rightarrow d_1=560\ \text{miles}$

It is given that d is the distance from theatre to friend's house

So, d must be less than $d_1$ i.e.

$d$

So, the most appropriate option out of the given is option (d) as d must be less than 560 and it is possible that it maybe less than 160.

7 0

3 years ago

Simplify the following

den301095 [7]

Answer:

1) 11 $\sqrt{3}$

2) 2 $\sqrt{2}$

3) $20\sqrt{3} + 15\sqrt{2}$

4) $53 + 12\sqrt{10}$

5) -2

6) $7\sqrt{2} - 5\sqrt{3}$

Step-by-step explanation:

1) 2 $\sqrt{12}$ + 3 $\sqrt{48}$ - $\sqrt{75}$

=(2 × 2 $\sqrt{3}$ )+ (3 × 4 $\sqrt{3}$ ) - 5 $\sqrt{3}$

= 4 $\sqrt{3}$ + 12 $\sqrt{3}$ - 5 $\sqrt{3}$

= 11 $\sqrt{3}$

2) 4 $\sqrt{8}$ -2 $\sqrt{98}$ + $\sqrt{128}$

= (4 × 2 $\sqrt{2}$ ) - (2 × 7 $\sqrt{2}$ ) + 8 $\sqrt{2}$

= 8 $\sqrt{2}$ - 14 $\sqrt{2}$ +8 $\sqrt{2}$

= 2 $\sqrt{2}$

3) 5 $\sqrt{12\\}$ - 3 $\sqrt{18} + 4 \sqrt{72} +2\sqrt{75}$

= 5× $2\sqrt{3}$ - 3× $3\sqrt{2}$ + 4× $6\sqrt{2}$ + 2× $5\sqrt{3}$

= $10\sqrt{3} - 9\sqrt{2} +24\sqrt{2} +10\sqrt{3}$

= $20\sqrt{3} + 15\sqrt{2}$

4) $(2\sqrt{2} + 3\sqrt{5} )^{2}$

= $8 + 12\sqrt{10} + 45$

= $53 + 12\sqrt{10}$

5) $(1+\sqrt{3} ) (1-\sqrt{3} )$

= $1 - 3$

= -2

6) $(2\sqrt{6} -1) (\sqrt{3} -\sqrt{2} )$

= $2\sqrt{18}-2\sqrt{12} -\sqrt{3} +\sqrt{2}$

= 2× $3\sqrt{2}$ - 2× $2\sqrt{3}$ - $\sqrt{3} + \sqrt{2}$

= $6\sqrt{2} - 4\sqrt{3} -\sqrt{3} +\sqrt{2}$

= $7\sqrt{2} - 5\sqrt{3}$

Hope the working out is clear and will help you. :)

5 0

3 years ago

Read 2 more answers